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Used to measure rates of processes in the oceanRates of removal of reactive chemical species
bull Air-sea exchangebull Particle scavenging
Rate of sediment accumulation Growth rates of authigenic deposits and marine organisms (eg Mn nodules coral skeletons shells) Rates of sediment mixing by benthic organismsMixing rates in water amp water mass tracing Aging of organic matter
Radionuclides (geochronometers and tracers)
Primordial - Present since Earthrsquos formation (long lived nuclides)
Cosmogenic - Formed by cosmic rays in the atmosphere
Anthropogenic - Man made (nuclear reactors bombs etc)
Types of natural radionuclides in the environment
Less than 21 kg of 3H on the entire Earth ndash and this can be measured in a few liters of water
- results in change in the neutronproton ratio
- decay results from thermodynamic instability of the nucleus and is an attempt to reach the most stable nuclear configuration
Nuclear decay
Different modes of nuclear decay
Alpha decay () of larger nuclides - loss of a helium nucleus (4
2He) to lower neutronproton ratio Mass and element changes
23892U --gt 234
90Th + 42He + Q (radiation eg gamma rays)
Beta decay (-) - converts a neutron to a proton with emission of a high energy electron (e-) - for atoms with extra neutrons
146C --gt 14
7N + e- note increase in protons changes element but not mass
Electron capture - proton in nucleus grabs an electron from lowest orbital and combines to form a neutron To fill empty orbital another e- falls to lower energy level emitting X-rays
4019K --gt 40
18Ar note decrease in protons changes element but not mass
Ion or mineral
Inert gas
238U
Irsquom bored I donrsquot want to be
uranium any more
t12 = 45 billion years
Parent nuclide
234234ThThAlpha decay 42He +
t12 = 241 days
Daughter nuclide
Life is short - and then you decay
All primordial series end with stable (non-radioactive) form of lead (Pb)
α decay
β decay
Characteristics of Uranium and Thorium Series - Primordial Nuclides
Element Name T12 range Chemistry in Oceans
U Uranium 25x105 - 45 x 109 y Soluble in seawater
especially in oxic waters Insoluble in reduced form Conservative with salinity
Pa Protactinium 12 min - 32 x 104 y Particle reactive - surface adsorbed
Th Thorium 26h-14 x 1010 y Particle reactive - surface adsorbed Chemistry similar to iron
Ac Actinum 6h - 22 y Particle reactive Short lived
Ra Radium 36 d - 1600 y Soluble chemistry like Ca
Rn Radon 4 sec - 38 days Noble gas - unreactive soluble
Po Polonium 10-7 sec - 138 days Nutrient element behavior
Pb Lead 30 min - 22 y Reactive heavy metal tracer-particle reactive
Detection of radioactivity
ionization detector- energy windows (each nuclide decay emits a characteristic energy spectrum (eg photons of gamma radiation) and can be distinguished from another)
Fission tracks
Scintillation counting (uses chemicals to absorb radiation energy leading to chain reactions that produce light Light pulses are detected with high sensitivity Again different nuclides can be distinguished based on energy of emission
Radiation is the amount of energy emitted
Radioactivity is a measure of nuclear disintegrations per unit time often given as disintegrations per minute (dpm)
Each time a nucleus decays it is an ldquoeventrdquo or disintegration
Common units of radioactivityCurie = 222 x 1012 disintegrations per minute (dpm) A curie is defined by the amount of radioactivity in 1 gram of Radium
In practice we commonly work in millicuries (222 x 109 dpm) or microcuries (222 x 106 dpm) or just plain dpm
Becquerel - The SI unit for radioactivity
1Bq = 1 disintegrationsec (dps)
So one Curie is = 37 x 1010 Becquerels (dps)
Specific activity ndash the amount of radioactivity per mole of substance eg mCimmol or dpmpmol
238U is the most abundant radionuclide in seawater
~3 g liter-1 mainly as uranyl tricarbonate [UO2(CO3)3]-4 which has uranium in the oxidized form U(+VI) [Uranium] is conservative with salinity
238U dpmliter = 007081 x salinity
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Uranium (+VI) can be reduced by microbes under anoxic conditions adding 2 e- and producing U(+IV) This form is insoluble and precipitates Iron reducing bacteria can carry out this reduction (much interest in this)
At salinity = 35 238U activity = 248 dpmLiter of seawater
For nuclides in solution the chemical concentration (Nliter) is directly proportional to radioactivity per liter (Nliter) since
The absolute concentrations of many nuclides in seawater is very low and not easily measured by chemical means But their radioactivity can be measured
Emerson amp Hedges 2008 Chap 5Emerson amp Hedges 2008 Chap 5
Secular equilibrium (daughter-parent relationships)
For a parent nuclide (P) with a long half life relative to its daughter nuclide (D) the activity of the Parent is given by
dPdt = P[P] and this is the production rate of the Daughter (since daughter is short lived its existence depends on its production from parent)
The rate of change of the Daughter nuclide is determined by its production and loss
dDdt = P[P] - D[D]
rate of change = Production - Loss (by radioactive decay)
At steady state
dDdt = 0 = P[P] - D[D]
P[P] = D[D] or Ap = AD or AD AP = 1
Thus for nuclides with short-lived daughters and long lived parents one predicts that the daughterparent activity ratio ( AD AP) = 1 This situation is termed secular equilibrium For a system starting out with parent nuclide but no daughter AD will grow into the system In other words it takes time to reach secular equilibrium
Act
ivit
y Parent activity
Total activity(parent+daughter)
Time
It takes about 6-8 daughter half-lives to reach secular equilibrium
Parent activity is constant with time since very few atoms decay (because of long half life)
In-growth of daughter activity
Daughter activity becomes constant with time because Production = Loss
The activity of the daughter is supported by the parent
0
1
2
Emerson amp Hedges Chap 5Emerson amp Hedges Chap 5
Changing the decay constant for daughter will change ND but not λND (if λ goes up ND goes
down and vice versa)
The rate of flow into the daughter tank λNP is equal to the flow out λND
Deviations from secular equilibrium
If all nuclides were in secular equilibrium we couldnrsquot learn anything from them
The deviations from equilibrium are the basis for using the nuclides as tracers and chronometers
234Th activity in the water column is often less than its parent 238U because of scavenging which removes the daughter
Any process that adds or removes daughter nuclide will cause deviations from secular equilibrium
The deviations from secular equilibrium can be used to estimate the scavenging rate constant (particle removal rate constant) in the ocean water column (see steady state box model calculations as used in Coale and Bruland 1987 LampO 32 189)
The ldquokrdquo here would be the scavenging rate constant (the fraction of particles exported from the surface ocean to depth per unit time Something very useful to know
d[D]dt = P[P] - D[D] + k[D]
Production of daughter Loss of daughter
Loss by rad decay
Other first order loss (eg scavenging)
y axis
x axis
Which nuclide to use
Must use a nuclide with a half-life close to the rate of the process of interest
Nuclides with short half lifes can only be used to study fast processes
Long-lived nuclides cannot be used to study fast processes (too few decays over short time) and only are useful for slow processes
This matching of decay rate to process rate applies to radio-dating (aging) as well
234Th (t12 = 24 d) is useful for water column particle scavenging rates
coastal oceanic
Expected
Shaded area is deficit of 234Th due to scavening
Coale amp Bruland LampO 1987 ndash Application of Coale amp Bruland LampO 1987 ndash Application of 234234Th scavengingTh scavenging
Mixed layerpycnocline
Euphotic
bull Maximum scavenging near pigment maximum
bull Less scavenging in upper mixed layer (due to efficient recycling of particles amp biomass)
234234Th is particle reactive so most is rapidly adsorbed to Th is particle reactive so most is rapidly adsorbed to particles If particles sink quickly then have deficit of particles If particles sink quickly then have deficit of 234234Th Th
Moran et al 2003 Limnol Oceanogr 48 1018
234Th-derived
Radio-dating of materials with nuclides
Useful for determining the age of a particular piece of matter (organism fossil rock etc)
By obtaining an age for a piece of an accreting deposit (eg sediment coral skeleton clam shell Mn-nodule) at some depth into the deposit the accretion rates of deposit can be determined (assuming steady deposition)
If you can put an age on the sediment in this layer you therefore know how long it took to build up the sediment above it From the depth of the layer and its age (t) you can determine the sediment accretion rate (zt)
Depth z
Sediment core
How to determine ages in deposits
Use unsupported nuclide activities
If deposits are laid down with unsupported daughter activity and no additional inputs (other than supported activity) occur within the deposit then the unsupported (excess) activity will decay with time (=depth) into the deposit Sediment is a good example
20
0
Dep
th (
cm)
AD-excess (unsupported daughter)
Exponential Exponential decay of decay of excess excess activity with activity with depthdepth
The sedimentation or accretion rate is given by
s= zt Thus
t = zs or
t = zs
Substitute zs for t in decay law
Sediment-water interface
ADz = ADo e-λ(zs)
Where ADz is the unsupported activity at depth z and ADo is the unsupported activity at the surface of the deposit This can be rearranged to
ADzADo = e-λ(zs)
And linearized as
ln(ADz) ndash ln(ADo) = -λ(zs) which is the same as
ln(ADz) = ln(ADo) - λ(zs) and the same as
ln(ADz) = ln(ADo) ndash (λs) zX-coordinateslopeY-intercept
210Pb is derived from decay of gaseous 222Rn (t12 = 38 days) which originates in rocks on land but goes into the atmosphere where it is carried over water
210Pb produced in the atmosphere is rapidly rained out and it attaches to particles in the water which sink to the sediments
210Pb (t12 = 223 y) is often used to estimate sediment accretion rates in coastal areas where sedimentation is high
This leads to unsupported 210Pb activity at the surface of the sediment (activity ratio of 210Pb(daughter)226Ra(parent)
gt 1) This is also referred to as excess activity because it is in excess of what is supported by the secular equilibrium of the sedimentary 226Ra parent
Concentrations of unsupported 210Pb in sediments ndash can give estimate of sediment accretion rates
Fig 107 in PilsonFig 107 in Pilson
Linear slope (a) of the semi-log plot gives the sediment accretion rate If slope not linear ndash steady state sedimentation model does not apply
Log
sca
le
(Bioturbated)
Supported 230 Th activity (from 234U decay)
Excess
This figure focuses on the longer lived nuclide 230Th (t12 = 75200 y) Its chemistry (ie particle reactivity) is the same as 234Th but its decay is too slow to be useful for particle scavenging rates in the surface waters It is however useful for sediment accretion rates in the deep ocean where accretion rates are relatively slow
137Cs
Peak emissions of man-made 137Cs (t12 = ~30 y) into the atmosphere occurred in 1963
This particle reactive nuclide is scavenged to sediments where profiles reflect time inputs Depth above 137Cs peak has accreted since 1963
Core taken
in 1986
~10 cm per 23 y
Use of nuclides as event markers
Wetland sedimentsDeLaune et al 1989
137Cs first appeared in atmosphere in ~1953
Picocuries per section
Natural 14C- a cosmogenic nuclide
bull Produced in the upper atmosphere by spallation of 14N
bull Becomes 14CO2 in atmosphere
bull Dissolves in ocean and taken up by plants
bull Diluted by fossil fuel burning of low 14C carbon (Suess effect)
Man-made 14C
Produced from weapons testing ndash peak production in 1960rsquos
Increased atmospheric 14C by over 2x ndash slowly taken up by ocean
(Illustration by Jayne Doucette Woods Hole Oceanographic Institution)httpwwwwhoiedunosamspagedopid=40138
Applications of 14C datingMuch progress with introduction of accelerator mass spectrometer analysis ndash 14C content of micro- to milligram quantities of carbon can be determined
bull Invasion of atmospheric CO2 into ocean can be observed
bull DIC of ocean water can be aged ndash giving estimate of deep residence time
bull POC and DOC in seawater have been aged ndash DOC found to be old
bull Bacteria in surface ocean use a mixture of old and new carbon 14C-content of natural materials (mg quantities) can be measured at the
National Ocean Sciences Accelerator Mass Spectrometry (NOSAMS)Facility at Woods Hole - httpwwwwhoiedunosams
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
Primordial - Present since Earthrsquos formation (long lived nuclides)
Cosmogenic - Formed by cosmic rays in the atmosphere
Anthropogenic - Man made (nuclear reactors bombs etc)
Types of natural radionuclides in the environment
Less than 21 kg of 3H on the entire Earth ndash and this can be measured in a few liters of water
- results in change in the neutronproton ratio
- decay results from thermodynamic instability of the nucleus and is an attempt to reach the most stable nuclear configuration
Nuclear decay
Different modes of nuclear decay
Alpha decay () of larger nuclides - loss of a helium nucleus (4
2He) to lower neutronproton ratio Mass and element changes
23892U --gt 234
90Th + 42He + Q (radiation eg gamma rays)
Beta decay (-) - converts a neutron to a proton with emission of a high energy electron (e-) - for atoms with extra neutrons
146C --gt 14
7N + e- note increase in protons changes element but not mass
Electron capture - proton in nucleus grabs an electron from lowest orbital and combines to form a neutron To fill empty orbital another e- falls to lower energy level emitting X-rays
4019K --gt 40
18Ar note decrease in protons changes element but not mass
Ion or mineral
Inert gas
238U
Irsquom bored I donrsquot want to be
uranium any more
t12 = 45 billion years
Parent nuclide
234234ThThAlpha decay 42He +
t12 = 241 days
Daughter nuclide
Life is short - and then you decay
All primordial series end with stable (non-radioactive) form of lead (Pb)
α decay
β decay
Characteristics of Uranium and Thorium Series - Primordial Nuclides
Element Name T12 range Chemistry in Oceans
U Uranium 25x105 - 45 x 109 y Soluble in seawater
especially in oxic waters Insoluble in reduced form Conservative with salinity
Pa Protactinium 12 min - 32 x 104 y Particle reactive - surface adsorbed
Th Thorium 26h-14 x 1010 y Particle reactive - surface adsorbed Chemistry similar to iron
Ac Actinum 6h - 22 y Particle reactive Short lived
Ra Radium 36 d - 1600 y Soluble chemistry like Ca
Rn Radon 4 sec - 38 days Noble gas - unreactive soluble
Po Polonium 10-7 sec - 138 days Nutrient element behavior
Pb Lead 30 min - 22 y Reactive heavy metal tracer-particle reactive
Detection of radioactivity
ionization detector- energy windows (each nuclide decay emits a characteristic energy spectrum (eg photons of gamma radiation) and can be distinguished from another)
Fission tracks
Scintillation counting (uses chemicals to absorb radiation energy leading to chain reactions that produce light Light pulses are detected with high sensitivity Again different nuclides can be distinguished based on energy of emission
Radiation is the amount of energy emitted
Radioactivity is a measure of nuclear disintegrations per unit time often given as disintegrations per minute (dpm)
Each time a nucleus decays it is an ldquoeventrdquo or disintegration
Common units of radioactivityCurie = 222 x 1012 disintegrations per minute (dpm) A curie is defined by the amount of radioactivity in 1 gram of Radium
In practice we commonly work in millicuries (222 x 109 dpm) or microcuries (222 x 106 dpm) or just plain dpm
Becquerel - The SI unit for radioactivity
1Bq = 1 disintegrationsec (dps)
So one Curie is = 37 x 1010 Becquerels (dps)
Specific activity ndash the amount of radioactivity per mole of substance eg mCimmol or dpmpmol
238U is the most abundant radionuclide in seawater
~3 g liter-1 mainly as uranyl tricarbonate [UO2(CO3)3]-4 which has uranium in the oxidized form U(+VI) [Uranium] is conservative with salinity
238U dpmliter = 007081 x salinity
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Uranium (+VI) can be reduced by microbes under anoxic conditions adding 2 e- and producing U(+IV) This form is insoluble and precipitates Iron reducing bacteria can carry out this reduction (much interest in this)
At salinity = 35 238U activity = 248 dpmLiter of seawater
For nuclides in solution the chemical concentration (Nliter) is directly proportional to radioactivity per liter (Nliter) since
The absolute concentrations of many nuclides in seawater is very low and not easily measured by chemical means But their radioactivity can be measured
Emerson amp Hedges 2008 Chap 5Emerson amp Hedges 2008 Chap 5
Secular equilibrium (daughter-parent relationships)
For a parent nuclide (P) with a long half life relative to its daughter nuclide (D) the activity of the Parent is given by
dPdt = P[P] and this is the production rate of the Daughter (since daughter is short lived its existence depends on its production from parent)
The rate of change of the Daughter nuclide is determined by its production and loss
dDdt = P[P] - D[D]
rate of change = Production - Loss (by radioactive decay)
At steady state
dDdt = 0 = P[P] - D[D]
P[P] = D[D] or Ap = AD or AD AP = 1
Thus for nuclides with short-lived daughters and long lived parents one predicts that the daughterparent activity ratio ( AD AP) = 1 This situation is termed secular equilibrium For a system starting out with parent nuclide but no daughter AD will grow into the system In other words it takes time to reach secular equilibrium
Act
ivit
y Parent activity
Total activity(parent+daughter)
Time
It takes about 6-8 daughter half-lives to reach secular equilibrium
Parent activity is constant with time since very few atoms decay (because of long half life)
In-growth of daughter activity
Daughter activity becomes constant with time because Production = Loss
The activity of the daughter is supported by the parent
0
1
2
Emerson amp Hedges Chap 5Emerson amp Hedges Chap 5
Changing the decay constant for daughter will change ND but not λND (if λ goes up ND goes
down and vice versa)
The rate of flow into the daughter tank λNP is equal to the flow out λND
Deviations from secular equilibrium
If all nuclides were in secular equilibrium we couldnrsquot learn anything from them
The deviations from equilibrium are the basis for using the nuclides as tracers and chronometers
234Th activity in the water column is often less than its parent 238U because of scavenging which removes the daughter
Any process that adds or removes daughter nuclide will cause deviations from secular equilibrium
The deviations from secular equilibrium can be used to estimate the scavenging rate constant (particle removal rate constant) in the ocean water column (see steady state box model calculations as used in Coale and Bruland 1987 LampO 32 189)
The ldquokrdquo here would be the scavenging rate constant (the fraction of particles exported from the surface ocean to depth per unit time Something very useful to know
d[D]dt = P[P] - D[D] + k[D]
Production of daughter Loss of daughter
Loss by rad decay
Other first order loss (eg scavenging)
y axis
x axis
Which nuclide to use
Must use a nuclide with a half-life close to the rate of the process of interest
Nuclides with short half lifes can only be used to study fast processes
Long-lived nuclides cannot be used to study fast processes (too few decays over short time) and only are useful for slow processes
This matching of decay rate to process rate applies to radio-dating (aging) as well
234Th (t12 = 24 d) is useful for water column particle scavenging rates
coastal oceanic
Expected
Shaded area is deficit of 234Th due to scavening
Coale amp Bruland LampO 1987 ndash Application of Coale amp Bruland LampO 1987 ndash Application of 234234Th scavengingTh scavenging
Mixed layerpycnocline
Euphotic
bull Maximum scavenging near pigment maximum
bull Less scavenging in upper mixed layer (due to efficient recycling of particles amp biomass)
234234Th is particle reactive so most is rapidly adsorbed to Th is particle reactive so most is rapidly adsorbed to particles If particles sink quickly then have deficit of particles If particles sink quickly then have deficit of 234234Th Th
Moran et al 2003 Limnol Oceanogr 48 1018
234Th-derived
Radio-dating of materials with nuclides
Useful for determining the age of a particular piece of matter (organism fossil rock etc)
By obtaining an age for a piece of an accreting deposit (eg sediment coral skeleton clam shell Mn-nodule) at some depth into the deposit the accretion rates of deposit can be determined (assuming steady deposition)
If you can put an age on the sediment in this layer you therefore know how long it took to build up the sediment above it From the depth of the layer and its age (t) you can determine the sediment accretion rate (zt)
Depth z
Sediment core
How to determine ages in deposits
Use unsupported nuclide activities
If deposits are laid down with unsupported daughter activity and no additional inputs (other than supported activity) occur within the deposit then the unsupported (excess) activity will decay with time (=depth) into the deposit Sediment is a good example
20
0
Dep
th (
cm)
AD-excess (unsupported daughter)
Exponential Exponential decay of decay of excess excess activity with activity with depthdepth
The sedimentation or accretion rate is given by
s= zt Thus
t = zs or
t = zs
Substitute zs for t in decay law
Sediment-water interface
ADz = ADo e-λ(zs)
Where ADz is the unsupported activity at depth z and ADo is the unsupported activity at the surface of the deposit This can be rearranged to
ADzADo = e-λ(zs)
And linearized as
ln(ADz) ndash ln(ADo) = -λ(zs) which is the same as
ln(ADz) = ln(ADo) - λ(zs) and the same as
ln(ADz) = ln(ADo) ndash (λs) zX-coordinateslopeY-intercept
210Pb is derived from decay of gaseous 222Rn (t12 = 38 days) which originates in rocks on land but goes into the atmosphere where it is carried over water
210Pb produced in the atmosphere is rapidly rained out and it attaches to particles in the water which sink to the sediments
210Pb (t12 = 223 y) is often used to estimate sediment accretion rates in coastal areas where sedimentation is high
This leads to unsupported 210Pb activity at the surface of the sediment (activity ratio of 210Pb(daughter)226Ra(parent)
gt 1) This is also referred to as excess activity because it is in excess of what is supported by the secular equilibrium of the sedimentary 226Ra parent
Concentrations of unsupported 210Pb in sediments ndash can give estimate of sediment accretion rates
Fig 107 in PilsonFig 107 in Pilson
Linear slope (a) of the semi-log plot gives the sediment accretion rate If slope not linear ndash steady state sedimentation model does not apply
Log
sca
le
(Bioturbated)
Supported 230 Th activity (from 234U decay)
Excess
This figure focuses on the longer lived nuclide 230Th (t12 = 75200 y) Its chemistry (ie particle reactivity) is the same as 234Th but its decay is too slow to be useful for particle scavenging rates in the surface waters It is however useful for sediment accretion rates in the deep ocean where accretion rates are relatively slow
137Cs
Peak emissions of man-made 137Cs (t12 = ~30 y) into the atmosphere occurred in 1963
This particle reactive nuclide is scavenged to sediments where profiles reflect time inputs Depth above 137Cs peak has accreted since 1963
Core taken
in 1986
~10 cm per 23 y
Use of nuclides as event markers
Wetland sedimentsDeLaune et al 1989
137Cs first appeared in atmosphere in ~1953
Picocuries per section
Natural 14C- a cosmogenic nuclide
bull Produced in the upper atmosphere by spallation of 14N
bull Becomes 14CO2 in atmosphere
bull Dissolves in ocean and taken up by plants
bull Diluted by fossil fuel burning of low 14C carbon (Suess effect)
Man-made 14C
Produced from weapons testing ndash peak production in 1960rsquos
Increased atmospheric 14C by over 2x ndash slowly taken up by ocean
(Illustration by Jayne Doucette Woods Hole Oceanographic Institution)httpwwwwhoiedunosamspagedopid=40138
Applications of 14C datingMuch progress with introduction of accelerator mass spectrometer analysis ndash 14C content of micro- to milligram quantities of carbon can be determined
bull Invasion of atmospheric CO2 into ocean can be observed
bull DIC of ocean water can be aged ndash giving estimate of deep residence time
bull POC and DOC in seawater have been aged ndash DOC found to be old
bull Bacteria in surface ocean use a mixture of old and new carbon 14C-content of natural materials (mg quantities) can be measured at the
National Ocean Sciences Accelerator Mass Spectrometry (NOSAMS)Facility at Woods Hole - httpwwwwhoiedunosams
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
Less than 21 kg of 3H on the entire Earth ndash and this can be measured in a few liters of water
- results in change in the neutronproton ratio
- decay results from thermodynamic instability of the nucleus and is an attempt to reach the most stable nuclear configuration
Nuclear decay
Different modes of nuclear decay
Alpha decay () of larger nuclides - loss of a helium nucleus (4
2He) to lower neutronproton ratio Mass and element changes
23892U --gt 234
90Th + 42He + Q (radiation eg gamma rays)
Beta decay (-) - converts a neutron to a proton with emission of a high energy electron (e-) - for atoms with extra neutrons
146C --gt 14
7N + e- note increase in protons changes element but not mass
Electron capture - proton in nucleus grabs an electron from lowest orbital and combines to form a neutron To fill empty orbital another e- falls to lower energy level emitting X-rays
4019K --gt 40
18Ar note decrease in protons changes element but not mass
Ion or mineral
Inert gas
238U
Irsquom bored I donrsquot want to be
uranium any more
t12 = 45 billion years
Parent nuclide
234234ThThAlpha decay 42He +
t12 = 241 days
Daughter nuclide
Life is short - and then you decay
All primordial series end with stable (non-radioactive) form of lead (Pb)
α decay
β decay
Characteristics of Uranium and Thorium Series - Primordial Nuclides
Element Name T12 range Chemistry in Oceans
U Uranium 25x105 - 45 x 109 y Soluble in seawater
especially in oxic waters Insoluble in reduced form Conservative with salinity
Pa Protactinium 12 min - 32 x 104 y Particle reactive - surface adsorbed
Th Thorium 26h-14 x 1010 y Particle reactive - surface adsorbed Chemistry similar to iron
Ac Actinum 6h - 22 y Particle reactive Short lived
Ra Radium 36 d - 1600 y Soluble chemistry like Ca
Rn Radon 4 sec - 38 days Noble gas - unreactive soluble
Po Polonium 10-7 sec - 138 days Nutrient element behavior
Pb Lead 30 min - 22 y Reactive heavy metal tracer-particle reactive
Detection of radioactivity
ionization detector- energy windows (each nuclide decay emits a characteristic energy spectrum (eg photons of gamma radiation) and can be distinguished from another)
Fission tracks
Scintillation counting (uses chemicals to absorb radiation energy leading to chain reactions that produce light Light pulses are detected with high sensitivity Again different nuclides can be distinguished based on energy of emission
Radiation is the amount of energy emitted
Radioactivity is a measure of nuclear disintegrations per unit time often given as disintegrations per minute (dpm)
Each time a nucleus decays it is an ldquoeventrdquo or disintegration
Common units of radioactivityCurie = 222 x 1012 disintegrations per minute (dpm) A curie is defined by the amount of radioactivity in 1 gram of Radium
In practice we commonly work in millicuries (222 x 109 dpm) or microcuries (222 x 106 dpm) or just plain dpm
Becquerel - The SI unit for radioactivity
1Bq = 1 disintegrationsec (dps)
So one Curie is = 37 x 1010 Becquerels (dps)
Specific activity ndash the amount of radioactivity per mole of substance eg mCimmol or dpmpmol
238U is the most abundant radionuclide in seawater
~3 g liter-1 mainly as uranyl tricarbonate [UO2(CO3)3]-4 which has uranium in the oxidized form U(+VI) [Uranium] is conservative with salinity
238U dpmliter = 007081 x salinity
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Uranium (+VI) can be reduced by microbes under anoxic conditions adding 2 e- and producing U(+IV) This form is insoluble and precipitates Iron reducing bacteria can carry out this reduction (much interest in this)
At salinity = 35 238U activity = 248 dpmLiter of seawater
For nuclides in solution the chemical concentration (Nliter) is directly proportional to radioactivity per liter (Nliter) since
The absolute concentrations of many nuclides in seawater is very low and not easily measured by chemical means But their radioactivity can be measured
Emerson amp Hedges 2008 Chap 5Emerson amp Hedges 2008 Chap 5
Secular equilibrium (daughter-parent relationships)
For a parent nuclide (P) with a long half life relative to its daughter nuclide (D) the activity of the Parent is given by
dPdt = P[P] and this is the production rate of the Daughter (since daughter is short lived its existence depends on its production from parent)
The rate of change of the Daughter nuclide is determined by its production and loss
dDdt = P[P] - D[D]
rate of change = Production - Loss (by radioactive decay)
At steady state
dDdt = 0 = P[P] - D[D]
P[P] = D[D] or Ap = AD or AD AP = 1
Thus for nuclides with short-lived daughters and long lived parents one predicts that the daughterparent activity ratio ( AD AP) = 1 This situation is termed secular equilibrium For a system starting out with parent nuclide but no daughter AD will grow into the system In other words it takes time to reach secular equilibrium
Act
ivit
y Parent activity
Total activity(parent+daughter)
Time
It takes about 6-8 daughter half-lives to reach secular equilibrium
Parent activity is constant with time since very few atoms decay (because of long half life)
In-growth of daughter activity
Daughter activity becomes constant with time because Production = Loss
The activity of the daughter is supported by the parent
0
1
2
Emerson amp Hedges Chap 5Emerson amp Hedges Chap 5
Changing the decay constant for daughter will change ND but not λND (if λ goes up ND goes
down and vice versa)
The rate of flow into the daughter tank λNP is equal to the flow out λND
Deviations from secular equilibrium
If all nuclides were in secular equilibrium we couldnrsquot learn anything from them
The deviations from equilibrium are the basis for using the nuclides as tracers and chronometers
234Th activity in the water column is often less than its parent 238U because of scavenging which removes the daughter
Any process that adds or removes daughter nuclide will cause deviations from secular equilibrium
The deviations from secular equilibrium can be used to estimate the scavenging rate constant (particle removal rate constant) in the ocean water column (see steady state box model calculations as used in Coale and Bruland 1987 LampO 32 189)
The ldquokrdquo here would be the scavenging rate constant (the fraction of particles exported from the surface ocean to depth per unit time Something very useful to know
d[D]dt = P[P] - D[D] + k[D]
Production of daughter Loss of daughter
Loss by rad decay
Other first order loss (eg scavenging)
y axis
x axis
Which nuclide to use
Must use a nuclide with a half-life close to the rate of the process of interest
Nuclides with short half lifes can only be used to study fast processes
Long-lived nuclides cannot be used to study fast processes (too few decays over short time) and only are useful for slow processes
This matching of decay rate to process rate applies to radio-dating (aging) as well
234Th (t12 = 24 d) is useful for water column particle scavenging rates
coastal oceanic
Expected
Shaded area is deficit of 234Th due to scavening
Coale amp Bruland LampO 1987 ndash Application of Coale amp Bruland LampO 1987 ndash Application of 234234Th scavengingTh scavenging
Mixed layerpycnocline
Euphotic
bull Maximum scavenging near pigment maximum
bull Less scavenging in upper mixed layer (due to efficient recycling of particles amp biomass)
234234Th is particle reactive so most is rapidly adsorbed to Th is particle reactive so most is rapidly adsorbed to particles If particles sink quickly then have deficit of particles If particles sink quickly then have deficit of 234234Th Th
Moran et al 2003 Limnol Oceanogr 48 1018
234Th-derived
Radio-dating of materials with nuclides
Useful for determining the age of a particular piece of matter (organism fossil rock etc)
By obtaining an age for a piece of an accreting deposit (eg sediment coral skeleton clam shell Mn-nodule) at some depth into the deposit the accretion rates of deposit can be determined (assuming steady deposition)
If you can put an age on the sediment in this layer you therefore know how long it took to build up the sediment above it From the depth of the layer and its age (t) you can determine the sediment accretion rate (zt)
Depth z
Sediment core
How to determine ages in deposits
Use unsupported nuclide activities
If deposits are laid down with unsupported daughter activity and no additional inputs (other than supported activity) occur within the deposit then the unsupported (excess) activity will decay with time (=depth) into the deposit Sediment is a good example
20
0
Dep
th (
cm)
AD-excess (unsupported daughter)
Exponential Exponential decay of decay of excess excess activity with activity with depthdepth
The sedimentation or accretion rate is given by
s= zt Thus
t = zs or
t = zs
Substitute zs for t in decay law
Sediment-water interface
ADz = ADo e-λ(zs)
Where ADz is the unsupported activity at depth z and ADo is the unsupported activity at the surface of the deposit This can be rearranged to
ADzADo = e-λ(zs)
And linearized as
ln(ADz) ndash ln(ADo) = -λ(zs) which is the same as
ln(ADz) = ln(ADo) - λ(zs) and the same as
ln(ADz) = ln(ADo) ndash (λs) zX-coordinateslopeY-intercept
210Pb is derived from decay of gaseous 222Rn (t12 = 38 days) which originates in rocks on land but goes into the atmosphere where it is carried over water
210Pb produced in the atmosphere is rapidly rained out and it attaches to particles in the water which sink to the sediments
210Pb (t12 = 223 y) is often used to estimate sediment accretion rates in coastal areas where sedimentation is high
This leads to unsupported 210Pb activity at the surface of the sediment (activity ratio of 210Pb(daughter)226Ra(parent)
gt 1) This is also referred to as excess activity because it is in excess of what is supported by the secular equilibrium of the sedimentary 226Ra parent
Concentrations of unsupported 210Pb in sediments ndash can give estimate of sediment accretion rates
Fig 107 in PilsonFig 107 in Pilson
Linear slope (a) of the semi-log plot gives the sediment accretion rate If slope not linear ndash steady state sedimentation model does not apply
Log
sca
le
(Bioturbated)
Supported 230 Th activity (from 234U decay)
Excess
This figure focuses on the longer lived nuclide 230Th (t12 = 75200 y) Its chemistry (ie particle reactivity) is the same as 234Th but its decay is too slow to be useful for particle scavenging rates in the surface waters It is however useful for sediment accretion rates in the deep ocean where accretion rates are relatively slow
137Cs
Peak emissions of man-made 137Cs (t12 = ~30 y) into the atmosphere occurred in 1963
This particle reactive nuclide is scavenged to sediments where profiles reflect time inputs Depth above 137Cs peak has accreted since 1963
Core taken
in 1986
~10 cm per 23 y
Use of nuclides as event markers
Wetland sedimentsDeLaune et al 1989
137Cs first appeared in atmosphere in ~1953
Picocuries per section
Natural 14C- a cosmogenic nuclide
bull Produced in the upper atmosphere by spallation of 14N
bull Becomes 14CO2 in atmosphere
bull Dissolves in ocean and taken up by plants
bull Diluted by fossil fuel burning of low 14C carbon (Suess effect)
Man-made 14C
Produced from weapons testing ndash peak production in 1960rsquos
Increased atmospheric 14C by over 2x ndash slowly taken up by ocean
(Illustration by Jayne Doucette Woods Hole Oceanographic Institution)httpwwwwhoiedunosamspagedopid=40138
Applications of 14C datingMuch progress with introduction of accelerator mass spectrometer analysis ndash 14C content of micro- to milligram quantities of carbon can be determined
bull Invasion of atmospheric CO2 into ocean can be observed
bull DIC of ocean water can be aged ndash giving estimate of deep residence time
bull POC and DOC in seawater have been aged ndash DOC found to be old
bull Bacteria in surface ocean use a mixture of old and new carbon 14C-content of natural materials (mg quantities) can be measured at the
National Ocean Sciences Accelerator Mass Spectrometry (NOSAMS)Facility at Woods Hole - httpwwwwhoiedunosams
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
- results in change in the neutronproton ratio
- decay results from thermodynamic instability of the nucleus and is an attempt to reach the most stable nuclear configuration
Nuclear decay
Different modes of nuclear decay
Alpha decay () of larger nuclides - loss of a helium nucleus (4
2He) to lower neutronproton ratio Mass and element changes
23892U --gt 234
90Th + 42He + Q (radiation eg gamma rays)
Beta decay (-) - converts a neutron to a proton with emission of a high energy electron (e-) - for atoms with extra neutrons
146C --gt 14
7N + e- note increase in protons changes element but not mass
Electron capture - proton in nucleus grabs an electron from lowest orbital and combines to form a neutron To fill empty orbital another e- falls to lower energy level emitting X-rays
4019K --gt 40
18Ar note decrease in protons changes element but not mass
Ion or mineral
Inert gas
238U
Irsquom bored I donrsquot want to be
uranium any more
t12 = 45 billion years
Parent nuclide
234234ThThAlpha decay 42He +
t12 = 241 days
Daughter nuclide
Life is short - and then you decay
All primordial series end with stable (non-radioactive) form of lead (Pb)
α decay
β decay
Characteristics of Uranium and Thorium Series - Primordial Nuclides
Element Name T12 range Chemistry in Oceans
U Uranium 25x105 - 45 x 109 y Soluble in seawater
especially in oxic waters Insoluble in reduced form Conservative with salinity
Pa Protactinium 12 min - 32 x 104 y Particle reactive - surface adsorbed
Th Thorium 26h-14 x 1010 y Particle reactive - surface adsorbed Chemistry similar to iron
Ac Actinum 6h - 22 y Particle reactive Short lived
Ra Radium 36 d - 1600 y Soluble chemistry like Ca
Rn Radon 4 sec - 38 days Noble gas - unreactive soluble
Po Polonium 10-7 sec - 138 days Nutrient element behavior
Pb Lead 30 min - 22 y Reactive heavy metal tracer-particle reactive
Detection of radioactivity
ionization detector- energy windows (each nuclide decay emits a characteristic energy spectrum (eg photons of gamma radiation) and can be distinguished from another)
Fission tracks
Scintillation counting (uses chemicals to absorb radiation energy leading to chain reactions that produce light Light pulses are detected with high sensitivity Again different nuclides can be distinguished based on energy of emission
Radiation is the amount of energy emitted
Radioactivity is a measure of nuclear disintegrations per unit time often given as disintegrations per minute (dpm)
Each time a nucleus decays it is an ldquoeventrdquo or disintegration
Common units of radioactivityCurie = 222 x 1012 disintegrations per minute (dpm) A curie is defined by the amount of radioactivity in 1 gram of Radium
In practice we commonly work in millicuries (222 x 109 dpm) or microcuries (222 x 106 dpm) or just plain dpm
Becquerel - The SI unit for radioactivity
1Bq = 1 disintegrationsec (dps)
So one Curie is = 37 x 1010 Becquerels (dps)
Specific activity ndash the amount of radioactivity per mole of substance eg mCimmol or dpmpmol
238U is the most abundant radionuclide in seawater
~3 g liter-1 mainly as uranyl tricarbonate [UO2(CO3)3]-4 which has uranium in the oxidized form U(+VI) [Uranium] is conservative with salinity
238U dpmliter = 007081 x salinity
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Uranium (+VI) can be reduced by microbes under anoxic conditions adding 2 e- and producing U(+IV) This form is insoluble and precipitates Iron reducing bacteria can carry out this reduction (much interest in this)
At salinity = 35 238U activity = 248 dpmLiter of seawater
For nuclides in solution the chemical concentration (Nliter) is directly proportional to radioactivity per liter (Nliter) since
The absolute concentrations of many nuclides in seawater is very low and not easily measured by chemical means But their radioactivity can be measured
Emerson amp Hedges 2008 Chap 5Emerson amp Hedges 2008 Chap 5
Secular equilibrium (daughter-parent relationships)
For a parent nuclide (P) with a long half life relative to its daughter nuclide (D) the activity of the Parent is given by
dPdt = P[P] and this is the production rate of the Daughter (since daughter is short lived its existence depends on its production from parent)
The rate of change of the Daughter nuclide is determined by its production and loss
dDdt = P[P] - D[D]
rate of change = Production - Loss (by radioactive decay)
At steady state
dDdt = 0 = P[P] - D[D]
P[P] = D[D] or Ap = AD or AD AP = 1
Thus for nuclides with short-lived daughters and long lived parents one predicts that the daughterparent activity ratio ( AD AP) = 1 This situation is termed secular equilibrium For a system starting out with parent nuclide but no daughter AD will grow into the system In other words it takes time to reach secular equilibrium
Act
ivit
y Parent activity
Total activity(parent+daughter)
Time
It takes about 6-8 daughter half-lives to reach secular equilibrium
Parent activity is constant with time since very few atoms decay (because of long half life)
In-growth of daughter activity
Daughter activity becomes constant with time because Production = Loss
The activity of the daughter is supported by the parent
0
1
2
Emerson amp Hedges Chap 5Emerson amp Hedges Chap 5
Changing the decay constant for daughter will change ND but not λND (if λ goes up ND goes
down and vice versa)
The rate of flow into the daughter tank λNP is equal to the flow out λND
Deviations from secular equilibrium
If all nuclides were in secular equilibrium we couldnrsquot learn anything from them
The deviations from equilibrium are the basis for using the nuclides as tracers and chronometers
234Th activity in the water column is often less than its parent 238U because of scavenging which removes the daughter
Any process that adds or removes daughter nuclide will cause deviations from secular equilibrium
The deviations from secular equilibrium can be used to estimate the scavenging rate constant (particle removal rate constant) in the ocean water column (see steady state box model calculations as used in Coale and Bruland 1987 LampO 32 189)
The ldquokrdquo here would be the scavenging rate constant (the fraction of particles exported from the surface ocean to depth per unit time Something very useful to know
d[D]dt = P[P] - D[D] + k[D]
Production of daughter Loss of daughter
Loss by rad decay
Other first order loss (eg scavenging)
y axis
x axis
Which nuclide to use
Must use a nuclide with a half-life close to the rate of the process of interest
Nuclides with short half lifes can only be used to study fast processes
Long-lived nuclides cannot be used to study fast processes (too few decays over short time) and only are useful for slow processes
This matching of decay rate to process rate applies to radio-dating (aging) as well
234Th (t12 = 24 d) is useful for water column particle scavenging rates
coastal oceanic
Expected
Shaded area is deficit of 234Th due to scavening
Coale amp Bruland LampO 1987 ndash Application of Coale amp Bruland LampO 1987 ndash Application of 234234Th scavengingTh scavenging
Mixed layerpycnocline
Euphotic
bull Maximum scavenging near pigment maximum
bull Less scavenging in upper mixed layer (due to efficient recycling of particles amp biomass)
234234Th is particle reactive so most is rapidly adsorbed to Th is particle reactive so most is rapidly adsorbed to particles If particles sink quickly then have deficit of particles If particles sink quickly then have deficit of 234234Th Th
Moran et al 2003 Limnol Oceanogr 48 1018
234Th-derived
Radio-dating of materials with nuclides
Useful for determining the age of a particular piece of matter (organism fossil rock etc)
By obtaining an age for a piece of an accreting deposit (eg sediment coral skeleton clam shell Mn-nodule) at some depth into the deposit the accretion rates of deposit can be determined (assuming steady deposition)
If you can put an age on the sediment in this layer you therefore know how long it took to build up the sediment above it From the depth of the layer and its age (t) you can determine the sediment accretion rate (zt)
Depth z
Sediment core
How to determine ages in deposits
Use unsupported nuclide activities
If deposits are laid down with unsupported daughter activity and no additional inputs (other than supported activity) occur within the deposit then the unsupported (excess) activity will decay with time (=depth) into the deposit Sediment is a good example
20
0
Dep
th (
cm)
AD-excess (unsupported daughter)
Exponential Exponential decay of decay of excess excess activity with activity with depthdepth
The sedimentation or accretion rate is given by
s= zt Thus
t = zs or
t = zs
Substitute zs for t in decay law
Sediment-water interface
ADz = ADo e-λ(zs)
Where ADz is the unsupported activity at depth z and ADo is the unsupported activity at the surface of the deposit This can be rearranged to
ADzADo = e-λ(zs)
And linearized as
ln(ADz) ndash ln(ADo) = -λ(zs) which is the same as
ln(ADz) = ln(ADo) - λ(zs) and the same as
ln(ADz) = ln(ADo) ndash (λs) zX-coordinateslopeY-intercept
210Pb is derived from decay of gaseous 222Rn (t12 = 38 days) which originates in rocks on land but goes into the atmosphere where it is carried over water
210Pb produced in the atmosphere is rapidly rained out and it attaches to particles in the water which sink to the sediments
210Pb (t12 = 223 y) is often used to estimate sediment accretion rates in coastal areas where sedimentation is high
This leads to unsupported 210Pb activity at the surface of the sediment (activity ratio of 210Pb(daughter)226Ra(parent)
gt 1) This is also referred to as excess activity because it is in excess of what is supported by the secular equilibrium of the sedimentary 226Ra parent
Concentrations of unsupported 210Pb in sediments ndash can give estimate of sediment accretion rates
Fig 107 in PilsonFig 107 in Pilson
Linear slope (a) of the semi-log plot gives the sediment accretion rate If slope not linear ndash steady state sedimentation model does not apply
Log
sca
le
(Bioturbated)
Supported 230 Th activity (from 234U decay)
Excess
This figure focuses on the longer lived nuclide 230Th (t12 = 75200 y) Its chemistry (ie particle reactivity) is the same as 234Th but its decay is too slow to be useful for particle scavenging rates in the surface waters It is however useful for sediment accretion rates in the deep ocean where accretion rates are relatively slow
137Cs
Peak emissions of man-made 137Cs (t12 = ~30 y) into the atmosphere occurred in 1963
This particle reactive nuclide is scavenged to sediments where profiles reflect time inputs Depth above 137Cs peak has accreted since 1963
Core taken
in 1986
~10 cm per 23 y
Use of nuclides as event markers
Wetland sedimentsDeLaune et al 1989
137Cs first appeared in atmosphere in ~1953
Picocuries per section
Natural 14C- a cosmogenic nuclide
bull Produced in the upper atmosphere by spallation of 14N
bull Becomes 14CO2 in atmosphere
bull Dissolves in ocean and taken up by plants
bull Diluted by fossil fuel burning of low 14C carbon (Suess effect)
Man-made 14C
Produced from weapons testing ndash peak production in 1960rsquos
Increased atmospheric 14C by over 2x ndash slowly taken up by ocean
(Illustration by Jayne Doucette Woods Hole Oceanographic Institution)httpwwwwhoiedunosamspagedopid=40138
Applications of 14C datingMuch progress with introduction of accelerator mass spectrometer analysis ndash 14C content of micro- to milligram quantities of carbon can be determined
bull Invasion of atmospheric CO2 into ocean can be observed
bull DIC of ocean water can be aged ndash giving estimate of deep residence time
bull POC and DOC in seawater have been aged ndash DOC found to be old
bull Bacteria in surface ocean use a mixture of old and new carbon 14C-content of natural materials (mg quantities) can be measured at the
National Ocean Sciences Accelerator Mass Spectrometry (NOSAMS)Facility at Woods Hole - httpwwwwhoiedunosams
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
Different modes of nuclear decay
Alpha decay () of larger nuclides - loss of a helium nucleus (4
2He) to lower neutronproton ratio Mass and element changes
23892U --gt 234
90Th + 42He + Q (radiation eg gamma rays)
Beta decay (-) - converts a neutron to a proton with emission of a high energy electron (e-) - for atoms with extra neutrons
146C --gt 14
7N + e- note increase in protons changes element but not mass
Electron capture - proton in nucleus grabs an electron from lowest orbital and combines to form a neutron To fill empty orbital another e- falls to lower energy level emitting X-rays
4019K --gt 40
18Ar note decrease in protons changes element but not mass
Ion or mineral
Inert gas
238U
Irsquom bored I donrsquot want to be
uranium any more
t12 = 45 billion years
Parent nuclide
234234ThThAlpha decay 42He +
t12 = 241 days
Daughter nuclide
Life is short - and then you decay
All primordial series end with stable (non-radioactive) form of lead (Pb)
α decay
β decay
Characteristics of Uranium and Thorium Series - Primordial Nuclides
Element Name T12 range Chemistry in Oceans
U Uranium 25x105 - 45 x 109 y Soluble in seawater
especially in oxic waters Insoluble in reduced form Conservative with salinity
Pa Protactinium 12 min - 32 x 104 y Particle reactive - surface adsorbed
Th Thorium 26h-14 x 1010 y Particle reactive - surface adsorbed Chemistry similar to iron
Ac Actinum 6h - 22 y Particle reactive Short lived
Ra Radium 36 d - 1600 y Soluble chemistry like Ca
Rn Radon 4 sec - 38 days Noble gas - unreactive soluble
Po Polonium 10-7 sec - 138 days Nutrient element behavior
Pb Lead 30 min - 22 y Reactive heavy metal tracer-particle reactive
Detection of radioactivity
ionization detector- energy windows (each nuclide decay emits a characteristic energy spectrum (eg photons of gamma radiation) and can be distinguished from another)
Fission tracks
Scintillation counting (uses chemicals to absorb radiation energy leading to chain reactions that produce light Light pulses are detected with high sensitivity Again different nuclides can be distinguished based on energy of emission
Radiation is the amount of energy emitted
Radioactivity is a measure of nuclear disintegrations per unit time often given as disintegrations per minute (dpm)
Each time a nucleus decays it is an ldquoeventrdquo or disintegration
Common units of radioactivityCurie = 222 x 1012 disintegrations per minute (dpm) A curie is defined by the amount of radioactivity in 1 gram of Radium
In practice we commonly work in millicuries (222 x 109 dpm) or microcuries (222 x 106 dpm) or just plain dpm
Becquerel - The SI unit for radioactivity
1Bq = 1 disintegrationsec (dps)
So one Curie is = 37 x 1010 Becquerels (dps)
Specific activity ndash the amount of radioactivity per mole of substance eg mCimmol or dpmpmol
238U is the most abundant radionuclide in seawater
~3 g liter-1 mainly as uranyl tricarbonate [UO2(CO3)3]-4 which has uranium in the oxidized form U(+VI) [Uranium] is conservative with salinity
238U dpmliter = 007081 x salinity
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Uranium (+VI) can be reduced by microbes under anoxic conditions adding 2 e- and producing U(+IV) This form is insoluble and precipitates Iron reducing bacteria can carry out this reduction (much interest in this)
At salinity = 35 238U activity = 248 dpmLiter of seawater
For nuclides in solution the chemical concentration (Nliter) is directly proportional to radioactivity per liter (Nliter) since
The absolute concentrations of many nuclides in seawater is very low and not easily measured by chemical means But their radioactivity can be measured
Emerson amp Hedges 2008 Chap 5Emerson amp Hedges 2008 Chap 5
Secular equilibrium (daughter-parent relationships)
For a parent nuclide (P) with a long half life relative to its daughter nuclide (D) the activity of the Parent is given by
dPdt = P[P] and this is the production rate of the Daughter (since daughter is short lived its existence depends on its production from parent)
The rate of change of the Daughter nuclide is determined by its production and loss
dDdt = P[P] - D[D]
rate of change = Production - Loss (by radioactive decay)
At steady state
dDdt = 0 = P[P] - D[D]
P[P] = D[D] or Ap = AD or AD AP = 1
Thus for nuclides with short-lived daughters and long lived parents one predicts that the daughterparent activity ratio ( AD AP) = 1 This situation is termed secular equilibrium For a system starting out with parent nuclide but no daughter AD will grow into the system In other words it takes time to reach secular equilibrium
Act
ivit
y Parent activity
Total activity(parent+daughter)
Time
It takes about 6-8 daughter half-lives to reach secular equilibrium
Parent activity is constant with time since very few atoms decay (because of long half life)
In-growth of daughter activity
Daughter activity becomes constant with time because Production = Loss
The activity of the daughter is supported by the parent
0
1
2
Emerson amp Hedges Chap 5Emerson amp Hedges Chap 5
Changing the decay constant for daughter will change ND but not λND (if λ goes up ND goes
down and vice versa)
The rate of flow into the daughter tank λNP is equal to the flow out λND
Deviations from secular equilibrium
If all nuclides were in secular equilibrium we couldnrsquot learn anything from them
The deviations from equilibrium are the basis for using the nuclides as tracers and chronometers
234Th activity in the water column is often less than its parent 238U because of scavenging which removes the daughter
Any process that adds or removes daughter nuclide will cause deviations from secular equilibrium
The deviations from secular equilibrium can be used to estimate the scavenging rate constant (particle removal rate constant) in the ocean water column (see steady state box model calculations as used in Coale and Bruland 1987 LampO 32 189)
The ldquokrdquo here would be the scavenging rate constant (the fraction of particles exported from the surface ocean to depth per unit time Something very useful to know
d[D]dt = P[P] - D[D] + k[D]
Production of daughter Loss of daughter
Loss by rad decay
Other first order loss (eg scavenging)
y axis
x axis
Which nuclide to use
Must use a nuclide with a half-life close to the rate of the process of interest
Nuclides with short half lifes can only be used to study fast processes
Long-lived nuclides cannot be used to study fast processes (too few decays over short time) and only are useful for slow processes
This matching of decay rate to process rate applies to radio-dating (aging) as well
234Th (t12 = 24 d) is useful for water column particle scavenging rates
coastal oceanic
Expected
Shaded area is deficit of 234Th due to scavening
Coale amp Bruland LampO 1987 ndash Application of Coale amp Bruland LampO 1987 ndash Application of 234234Th scavengingTh scavenging
Mixed layerpycnocline
Euphotic
bull Maximum scavenging near pigment maximum
bull Less scavenging in upper mixed layer (due to efficient recycling of particles amp biomass)
234234Th is particle reactive so most is rapidly adsorbed to Th is particle reactive so most is rapidly adsorbed to particles If particles sink quickly then have deficit of particles If particles sink quickly then have deficit of 234234Th Th
Moran et al 2003 Limnol Oceanogr 48 1018
234Th-derived
Radio-dating of materials with nuclides
Useful for determining the age of a particular piece of matter (organism fossil rock etc)
By obtaining an age for a piece of an accreting deposit (eg sediment coral skeleton clam shell Mn-nodule) at some depth into the deposit the accretion rates of deposit can be determined (assuming steady deposition)
If you can put an age on the sediment in this layer you therefore know how long it took to build up the sediment above it From the depth of the layer and its age (t) you can determine the sediment accretion rate (zt)
Depth z
Sediment core
How to determine ages in deposits
Use unsupported nuclide activities
If deposits are laid down with unsupported daughter activity and no additional inputs (other than supported activity) occur within the deposit then the unsupported (excess) activity will decay with time (=depth) into the deposit Sediment is a good example
20
0
Dep
th (
cm)
AD-excess (unsupported daughter)
Exponential Exponential decay of decay of excess excess activity with activity with depthdepth
The sedimentation or accretion rate is given by
s= zt Thus
t = zs or
t = zs
Substitute zs for t in decay law
Sediment-water interface
ADz = ADo e-λ(zs)
Where ADz is the unsupported activity at depth z and ADo is the unsupported activity at the surface of the deposit This can be rearranged to
ADzADo = e-λ(zs)
And linearized as
ln(ADz) ndash ln(ADo) = -λ(zs) which is the same as
ln(ADz) = ln(ADo) - λ(zs) and the same as
ln(ADz) = ln(ADo) ndash (λs) zX-coordinateslopeY-intercept
210Pb is derived from decay of gaseous 222Rn (t12 = 38 days) which originates in rocks on land but goes into the atmosphere where it is carried over water
210Pb produced in the atmosphere is rapidly rained out and it attaches to particles in the water which sink to the sediments
210Pb (t12 = 223 y) is often used to estimate sediment accretion rates in coastal areas where sedimentation is high
This leads to unsupported 210Pb activity at the surface of the sediment (activity ratio of 210Pb(daughter)226Ra(parent)
gt 1) This is also referred to as excess activity because it is in excess of what is supported by the secular equilibrium of the sedimentary 226Ra parent
Concentrations of unsupported 210Pb in sediments ndash can give estimate of sediment accretion rates
Fig 107 in PilsonFig 107 in Pilson
Linear slope (a) of the semi-log plot gives the sediment accretion rate If slope not linear ndash steady state sedimentation model does not apply
Log
sca
le
(Bioturbated)
Supported 230 Th activity (from 234U decay)
Excess
This figure focuses on the longer lived nuclide 230Th (t12 = 75200 y) Its chemistry (ie particle reactivity) is the same as 234Th but its decay is too slow to be useful for particle scavenging rates in the surface waters It is however useful for sediment accretion rates in the deep ocean where accretion rates are relatively slow
137Cs
Peak emissions of man-made 137Cs (t12 = ~30 y) into the atmosphere occurred in 1963
This particle reactive nuclide is scavenged to sediments where profiles reflect time inputs Depth above 137Cs peak has accreted since 1963
Core taken
in 1986
~10 cm per 23 y
Use of nuclides as event markers
Wetland sedimentsDeLaune et al 1989
137Cs first appeared in atmosphere in ~1953
Picocuries per section
Natural 14C- a cosmogenic nuclide
bull Produced in the upper atmosphere by spallation of 14N
bull Becomes 14CO2 in atmosphere
bull Dissolves in ocean and taken up by plants
bull Diluted by fossil fuel burning of low 14C carbon (Suess effect)
Man-made 14C
Produced from weapons testing ndash peak production in 1960rsquos
Increased atmospheric 14C by over 2x ndash slowly taken up by ocean
(Illustration by Jayne Doucette Woods Hole Oceanographic Institution)httpwwwwhoiedunosamspagedopid=40138
Applications of 14C datingMuch progress with introduction of accelerator mass spectrometer analysis ndash 14C content of micro- to milligram quantities of carbon can be determined
bull Invasion of atmospheric CO2 into ocean can be observed
bull DIC of ocean water can be aged ndash giving estimate of deep residence time
bull POC and DOC in seawater have been aged ndash DOC found to be old
bull Bacteria in surface ocean use a mixture of old and new carbon 14C-content of natural materials (mg quantities) can be measured at the
National Ocean Sciences Accelerator Mass Spectrometry (NOSAMS)Facility at Woods Hole - httpwwwwhoiedunosams
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
238U
Irsquom bored I donrsquot want to be
uranium any more
t12 = 45 billion years
Parent nuclide
234234ThThAlpha decay 42He +
t12 = 241 days
Daughter nuclide
Life is short - and then you decay
All primordial series end with stable (non-radioactive) form of lead (Pb)
α decay
β decay
Characteristics of Uranium and Thorium Series - Primordial Nuclides
Element Name T12 range Chemistry in Oceans
U Uranium 25x105 - 45 x 109 y Soluble in seawater
especially in oxic waters Insoluble in reduced form Conservative with salinity
Pa Protactinium 12 min - 32 x 104 y Particle reactive - surface adsorbed
Th Thorium 26h-14 x 1010 y Particle reactive - surface adsorbed Chemistry similar to iron
Ac Actinum 6h - 22 y Particle reactive Short lived
Ra Radium 36 d - 1600 y Soluble chemistry like Ca
Rn Radon 4 sec - 38 days Noble gas - unreactive soluble
Po Polonium 10-7 sec - 138 days Nutrient element behavior
Pb Lead 30 min - 22 y Reactive heavy metal tracer-particle reactive
Detection of radioactivity
ionization detector- energy windows (each nuclide decay emits a characteristic energy spectrum (eg photons of gamma radiation) and can be distinguished from another)
Fission tracks
Scintillation counting (uses chemicals to absorb radiation energy leading to chain reactions that produce light Light pulses are detected with high sensitivity Again different nuclides can be distinguished based on energy of emission
Radiation is the amount of energy emitted
Radioactivity is a measure of nuclear disintegrations per unit time often given as disintegrations per minute (dpm)
Each time a nucleus decays it is an ldquoeventrdquo or disintegration
Common units of radioactivityCurie = 222 x 1012 disintegrations per minute (dpm) A curie is defined by the amount of radioactivity in 1 gram of Radium
In practice we commonly work in millicuries (222 x 109 dpm) or microcuries (222 x 106 dpm) or just plain dpm
Becquerel - The SI unit for radioactivity
1Bq = 1 disintegrationsec (dps)
So one Curie is = 37 x 1010 Becquerels (dps)
Specific activity ndash the amount of radioactivity per mole of substance eg mCimmol or dpmpmol
238U is the most abundant radionuclide in seawater
~3 g liter-1 mainly as uranyl tricarbonate [UO2(CO3)3]-4 which has uranium in the oxidized form U(+VI) [Uranium] is conservative with salinity
238U dpmliter = 007081 x salinity
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Uranium (+VI) can be reduced by microbes under anoxic conditions adding 2 e- and producing U(+IV) This form is insoluble and precipitates Iron reducing bacteria can carry out this reduction (much interest in this)
At salinity = 35 238U activity = 248 dpmLiter of seawater
For nuclides in solution the chemical concentration (Nliter) is directly proportional to radioactivity per liter (Nliter) since
The absolute concentrations of many nuclides in seawater is very low and not easily measured by chemical means But their radioactivity can be measured
Emerson amp Hedges 2008 Chap 5Emerson amp Hedges 2008 Chap 5
Secular equilibrium (daughter-parent relationships)
For a parent nuclide (P) with a long half life relative to its daughter nuclide (D) the activity of the Parent is given by
dPdt = P[P] and this is the production rate of the Daughter (since daughter is short lived its existence depends on its production from parent)
The rate of change of the Daughter nuclide is determined by its production and loss
dDdt = P[P] - D[D]
rate of change = Production - Loss (by radioactive decay)
At steady state
dDdt = 0 = P[P] - D[D]
P[P] = D[D] or Ap = AD or AD AP = 1
Thus for nuclides with short-lived daughters and long lived parents one predicts that the daughterparent activity ratio ( AD AP) = 1 This situation is termed secular equilibrium For a system starting out with parent nuclide but no daughter AD will grow into the system In other words it takes time to reach secular equilibrium
Act
ivit
y Parent activity
Total activity(parent+daughter)
Time
It takes about 6-8 daughter half-lives to reach secular equilibrium
Parent activity is constant with time since very few atoms decay (because of long half life)
In-growth of daughter activity
Daughter activity becomes constant with time because Production = Loss
The activity of the daughter is supported by the parent
0
1
2
Emerson amp Hedges Chap 5Emerson amp Hedges Chap 5
Changing the decay constant for daughter will change ND but not λND (if λ goes up ND goes
down and vice versa)
The rate of flow into the daughter tank λNP is equal to the flow out λND
Deviations from secular equilibrium
If all nuclides were in secular equilibrium we couldnrsquot learn anything from them
The deviations from equilibrium are the basis for using the nuclides as tracers and chronometers
234Th activity in the water column is often less than its parent 238U because of scavenging which removes the daughter
Any process that adds or removes daughter nuclide will cause deviations from secular equilibrium
The deviations from secular equilibrium can be used to estimate the scavenging rate constant (particle removal rate constant) in the ocean water column (see steady state box model calculations as used in Coale and Bruland 1987 LampO 32 189)
The ldquokrdquo here would be the scavenging rate constant (the fraction of particles exported from the surface ocean to depth per unit time Something very useful to know
d[D]dt = P[P] - D[D] + k[D]
Production of daughter Loss of daughter
Loss by rad decay
Other first order loss (eg scavenging)
y axis
x axis
Which nuclide to use
Must use a nuclide with a half-life close to the rate of the process of interest
Nuclides with short half lifes can only be used to study fast processes
Long-lived nuclides cannot be used to study fast processes (too few decays over short time) and only are useful for slow processes
This matching of decay rate to process rate applies to radio-dating (aging) as well
234Th (t12 = 24 d) is useful for water column particle scavenging rates
coastal oceanic
Expected
Shaded area is deficit of 234Th due to scavening
Coale amp Bruland LampO 1987 ndash Application of Coale amp Bruland LampO 1987 ndash Application of 234234Th scavengingTh scavenging
Mixed layerpycnocline
Euphotic
bull Maximum scavenging near pigment maximum
bull Less scavenging in upper mixed layer (due to efficient recycling of particles amp biomass)
234234Th is particle reactive so most is rapidly adsorbed to Th is particle reactive so most is rapidly adsorbed to particles If particles sink quickly then have deficit of particles If particles sink quickly then have deficit of 234234Th Th
Moran et al 2003 Limnol Oceanogr 48 1018
234Th-derived
Radio-dating of materials with nuclides
Useful for determining the age of a particular piece of matter (organism fossil rock etc)
By obtaining an age for a piece of an accreting deposit (eg sediment coral skeleton clam shell Mn-nodule) at some depth into the deposit the accretion rates of deposit can be determined (assuming steady deposition)
If you can put an age on the sediment in this layer you therefore know how long it took to build up the sediment above it From the depth of the layer and its age (t) you can determine the sediment accretion rate (zt)
Depth z
Sediment core
How to determine ages in deposits
Use unsupported nuclide activities
If deposits are laid down with unsupported daughter activity and no additional inputs (other than supported activity) occur within the deposit then the unsupported (excess) activity will decay with time (=depth) into the deposit Sediment is a good example
20
0
Dep
th (
cm)
AD-excess (unsupported daughter)
Exponential Exponential decay of decay of excess excess activity with activity with depthdepth
The sedimentation or accretion rate is given by
s= zt Thus
t = zs or
t = zs
Substitute zs for t in decay law
Sediment-water interface
ADz = ADo e-λ(zs)
Where ADz is the unsupported activity at depth z and ADo is the unsupported activity at the surface of the deposit This can be rearranged to
ADzADo = e-λ(zs)
And linearized as
ln(ADz) ndash ln(ADo) = -λ(zs) which is the same as
ln(ADz) = ln(ADo) - λ(zs) and the same as
ln(ADz) = ln(ADo) ndash (λs) zX-coordinateslopeY-intercept
210Pb is derived from decay of gaseous 222Rn (t12 = 38 days) which originates in rocks on land but goes into the atmosphere where it is carried over water
210Pb produced in the atmosphere is rapidly rained out and it attaches to particles in the water which sink to the sediments
210Pb (t12 = 223 y) is often used to estimate sediment accretion rates in coastal areas where sedimentation is high
This leads to unsupported 210Pb activity at the surface of the sediment (activity ratio of 210Pb(daughter)226Ra(parent)
gt 1) This is also referred to as excess activity because it is in excess of what is supported by the secular equilibrium of the sedimentary 226Ra parent
Concentrations of unsupported 210Pb in sediments ndash can give estimate of sediment accretion rates
Fig 107 in PilsonFig 107 in Pilson
Linear slope (a) of the semi-log plot gives the sediment accretion rate If slope not linear ndash steady state sedimentation model does not apply
Log
sca
le
(Bioturbated)
Supported 230 Th activity (from 234U decay)
Excess
This figure focuses on the longer lived nuclide 230Th (t12 = 75200 y) Its chemistry (ie particle reactivity) is the same as 234Th but its decay is too slow to be useful for particle scavenging rates in the surface waters It is however useful for sediment accretion rates in the deep ocean where accretion rates are relatively slow
137Cs
Peak emissions of man-made 137Cs (t12 = ~30 y) into the atmosphere occurred in 1963
This particle reactive nuclide is scavenged to sediments where profiles reflect time inputs Depth above 137Cs peak has accreted since 1963
Core taken
in 1986
~10 cm per 23 y
Use of nuclides as event markers
Wetland sedimentsDeLaune et al 1989
137Cs first appeared in atmosphere in ~1953
Picocuries per section
Natural 14C- a cosmogenic nuclide
bull Produced in the upper atmosphere by spallation of 14N
bull Becomes 14CO2 in atmosphere
bull Dissolves in ocean and taken up by plants
bull Diluted by fossil fuel burning of low 14C carbon (Suess effect)
Man-made 14C
Produced from weapons testing ndash peak production in 1960rsquos
Increased atmospheric 14C by over 2x ndash slowly taken up by ocean
(Illustration by Jayne Doucette Woods Hole Oceanographic Institution)httpwwwwhoiedunosamspagedopid=40138
Applications of 14C datingMuch progress with introduction of accelerator mass spectrometer analysis ndash 14C content of micro- to milligram quantities of carbon can be determined
bull Invasion of atmospheric CO2 into ocean can be observed
bull DIC of ocean water can be aged ndash giving estimate of deep residence time
bull POC and DOC in seawater have been aged ndash DOC found to be old
bull Bacteria in surface ocean use a mixture of old and new carbon 14C-content of natural materials (mg quantities) can be measured at the
National Ocean Sciences Accelerator Mass Spectrometry (NOSAMS)Facility at Woods Hole - httpwwwwhoiedunosams
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
All primordial series end with stable (non-radioactive) form of lead (Pb)
α decay
β decay
Characteristics of Uranium and Thorium Series - Primordial Nuclides
Element Name T12 range Chemistry in Oceans
U Uranium 25x105 - 45 x 109 y Soluble in seawater
especially in oxic waters Insoluble in reduced form Conservative with salinity
Pa Protactinium 12 min - 32 x 104 y Particle reactive - surface adsorbed
Th Thorium 26h-14 x 1010 y Particle reactive - surface adsorbed Chemistry similar to iron
Ac Actinum 6h - 22 y Particle reactive Short lived
Ra Radium 36 d - 1600 y Soluble chemistry like Ca
Rn Radon 4 sec - 38 days Noble gas - unreactive soluble
Po Polonium 10-7 sec - 138 days Nutrient element behavior
Pb Lead 30 min - 22 y Reactive heavy metal tracer-particle reactive
Detection of radioactivity
ionization detector- energy windows (each nuclide decay emits a characteristic energy spectrum (eg photons of gamma radiation) and can be distinguished from another)
Fission tracks
Scintillation counting (uses chemicals to absorb radiation energy leading to chain reactions that produce light Light pulses are detected with high sensitivity Again different nuclides can be distinguished based on energy of emission
Radiation is the amount of energy emitted
Radioactivity is a measure of nuclear disintegrations per unit time often given as disintegrations per minute (dpm)
Each time a nucleus decays it is an ldquoeventrdquo or disintegration
Common units of radioactivityCurie = 222 x 1012 disintegrations per minute (dpm) A curie is defined by the amount of radioactivity in 1 gram of Radium
In practice we commonly work in millicuries (222 x 109 dpm) or microcuries (222 x 106 dpm) or just plain dpm
Becquerel - The SI unit for radioactivity
1Bq = 1 disintegrationsec (dps)
So one Curie is = 37 x 1010 Becquerels (dps)
Specific activity ndash the amount of radioactivity per mole of substance eg mCimmol or dpmpmol
238U is the most abundant radionuclide in seawater
~3 g liter-1 mainly as uranyl tricarbonate [UO2(CO3)3]-4 which has uranium in the oxidized form U(+VI) [Uranium] is conservative with salinity
238U dpmliter = 007081 x salinity
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Uranium (+VI) can be reduced by microbes under anoxic conditions adding 2 e- and producing U(+IV) This form is insoluble and precipitates Iron reducing bacteria can carry out this reduction (much interest in this)
At salinity = 35 238U activity = 248 dpmLiter of seawater
For nuclides in solution the chemical concentration (Nliter) is directly proportional to radioactivity per liter (Nliter) since
The absolute concentrations of many nuclides in seawater is very low and not easily measured by chemical means But their radioactivity can be measured
Emerson amp Hedges 2008 Chap 5Emerson amp Hedges 2008 Chap 5
Secular equilibrium (daughter-parent relationships)
For a parent nuclide (P) with a long half life relative to its daughter nuclide (D) the activity of the Parent is given by
dPdt = P[P] and this is the production rate of the Daughter (since daughter is short lived its existence depends on its production from parent)
The rate of change of the Daughter nuclide is determined by its production and loss
dDdt = P[P] - D[D]
rate of change = Production - Loss (by radioactive decay)
At steady state
dDdt = 0 = P[P] - D[D]
P[P] = D[D] or Ap = AD or AD AP = 1
Thus for nuclides with short-lived daughters and long lived parents one predicts that the daughterparent activity ratio ( AD AP) = 1 This situation is termed secular equilibrium For a system starting out with parent nuclide but no daughter AD will grow into the system In other words it takes time to reach secular equilibrium
Act
ivit
y Parent activity
Total activity(parent+daughter)
Time
It takes about 6-8 daughter half-lives to reach secular equilibrium
Parent activity is constant with time since very few atoms decay (because of long half life)
In-growth of daughter activity
Daughter activity becomes constant with time because Production = Loss
The activity of the daughter is supported by the parent
0
1
2
Emerson amp Hedges Chap 5Emerson amp Hedges Chap 5
Changing the decay constant for daughter will change ND but not λND (if λ goes up ND goes
down and vice versa)
The rate of flow into the daughter tank λNP is equal to the flow out λND
Deviations from secular equilibrium
If all nuclides were in secular equilibrium we couldnrsquot learn anything from them
The deviations from equilibrium are the basis for using the nuclides as tracers and chronometers
234Th activity in the water column is often less than its parent 238U because of scavenging which removes the daughter
Any process that adds or removes daughter nuclide will cause deviations from secular equilibrium
The deviations from secular equilibrium can be used to estimate the scavenging rate constant (particle removal rate constant) in the ocean water column (see steady state box model calculations as used in Coale and Bruland 1987 LampO 32 189)
The ldquokrdquo here would be the scavenging rate constant (the fraction of particles exported from the surface ocean to depth per unit time Something very useful to know
d[D]dt = P[P] - D[D] + k[D]
Production of daughter Loss of daughter
Loss by rad decay
Other first order loss (eg scavenging)
y axis
x axis
Which nuclide to use
Must use a nuclide with a half-life close to the rate of the process of interest
Nuclides with short half lifes can only be used to study fast processes
Long-lived nuclides cannot be used to study fast processes (too few decays over short time) and only are useful for slow processes
This matching of decay rate to process rate applies to radio-dating (aging) as well
234Th (t12 = 24 d) is useful for water column particle scavenging rates
coastal oceanic
Expected
Shaded area is deficit of 234Th due to scavening
Coale amp Bruland LampO 1987 ndash Application of Coale amp Bruland LampO 1987 ndash Application of 234234Th scavengingTh scavenging
Mixed layerpycnocline
Euphotic
bull Maximum scavenging near pigment maximum
bull Less scavenging in upper mixed layer (due to efficient recycling of particles amp biomass)
234234Th is particle reactive so most is rapidly adsorbed to Th is particle reactive so most is rapidly adsorbed to particles If particles sink quickly then have deficit of particles If particles sink quickly then have deficit of 234234Th Th
Moran et al 2003 Limnol Oceanogr 48 1018
234Th-derived
Radio-dating of materials with nuclides
Useful for determining the age of a particular piece of matter (organism fossil rock etc)
By obtaining an age for a piece of an accreting deposit (eg sediment coral skeleton clam shell Mn-nodule) at some depth into the deposit the accretion rates of deposit can be determined (assuming steady deposition)
If you can put an age on the sediment in this layer you therefore know how long it took to build up the sediment above it From the depth of the layer and its age (t) you can determine the sediment accretion rate (zt)
Depth z
Sediment core
How to determine ages in deposits
Use unsupported nuclide activities
If deposits are laid down with unsupported daughter activity and no additional inputs (other than supported activity) occur within the deposit then the unsupported (excess) activity will decay with time (=depth) into the deposit Sediment is a good example
20
0
Dep
th (
cm)
AD-excess (unsupported daughter)
Exponential Exponential decay of decay of excess excess activity with activity with depthdepth
The sedimentation or accretion rate is given by
s= zt Thus
t = zs or
t = zs
Substitute zs for t in decay law
Sediment-water interface
ADz = ADo e-λ(zs)
Where ADz is the unsupported activity at depth z and ADo is the unsupported activity at the surface of the deposit This can be rearranged to
ADzADo = e-λ(zs)
And linearized as
ln(ADz) ndash ln(ADo) = -λ(zs) which is the same as
ln(ADz) = ln(ADo) - λ(zs) and the same as
ln(ADz) = ln(ADo) ndash (λs) zX-coordinateslopeY-intercept
210Pb is derived from decay of gaseous 222Rn (t12 = 38 days) which originates in rocks on land but goes into the atmosphere where it is carried over water
210Pb produced in the atmosphere is rapidly rained out and it attaches to particles in the water which sink to the sediments
210Pb (t12 = 223 y) is often used to estimate sediment accretion rates in coastal areas where sedimentation is high
This leads to unsupported 210Pb activity at the surface of the sediment (activity ratio of 210Pb(daughter)226Ra(parent)
gt 1) This is also referred to as excess activity because it is in excess of what is supported by the secular equilibrium of the sedimentary 226Ra parent
Concentrations of unsupported 210Pb in sediments ndash can give estimate of sediment accretion rates
Fig 107 in PilsonFig 107 in Pilson
Linear slope (a) of the semi-log plot gives the sediment accretion rate If slope not linear ndash steady state sedimentation model does not apply
Log
sca
le
(Bioturbated)
Supported 230 Th activity (from 234U decay)
Excess
This figure focuses on the longer lived nuclide 230Th (t12 = 75200 y) Its chemistry (ie particle reactivity) is the same as 234Th but its decay is too slow to be useful for particle scavenging rates in the surface waters It is however useful for sediment accretion rates in the deep ocean where accretion rates are relatively slow
137Cs
Peak emissions of man-made 137Cs (t12 = ~30 y) into the atmosphere occurred in 1963
This particle reactive nuclide is scavenged to sediments where profiles reflect time inputs Depth above 137Cs peak has accreted since 1963
Core taken
in 1986
~10 cm per 23 y
Use of nuclides as event markers
Wetland sedimentsDeLaune et al 1989
137Cs first appeared in atmosphere in ~1953
Picocuries per section
Natural 14C- a cosmogenic nuclide
bull Produced in the upper atmosphere by spallation of 14N
bull Becomes 14CO2 in atmosphere
bull Dissolves in ocean and taken up by plants
bull Diluted by fossil fuel burning of low 14C carbon (Suess effect)
Man-made 14C
Produced from weapons testing ndash peak production in 1960rsquos
Increased atmospheric 14C by over 2x ndash slowly taken up by ocean
(Illustration by Jayne Doucette Woods Hole Oceanographic Institution)httpwwwwhoiedunosamspagedopid=40138
Applications of 14C datingMuch progress with introduction of accelerator mass spectrometer analysis ndash 14C content of micro- to milligram quantities of carbon can be determined
bull Invasion of atmospheric CO2 into ocean can be observed
bull DIC of ocean water can be aged ndash giving estimate of deep residence time
bull POC and DOC in seawater have been aged ndash DOC found to be old
bull Bacteria in surface ocean use a mixture of old and new carbon 14C-content of natural materials (mg quantities) can be measured at the
National Ocean Sciences Accelerator Mass Spectrometry (NOSAMS)Facility at Woods Hole - httpwwwwhoiedunosams
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
Characteristics of Uranium and Thorium Series - Primordial Nuclides
Element Name T12 range Chemistry in Oceans
U Uranium 25x105 - 45 x 109 y Soluble in seawater
especially in oxic waters Insoluble in reduced form Conservative with salinity
Pa Protactinium 12 min - 32 x 104 y Particle reactive - surface adsorbed
Th Thorium 26h-14 x 1010 y Particle reactive - surface adsorbed Chemistry similar to iron
Ac Actinum 6h - 22 y Particle reactive Short lived
Ra Radium 36 d - 1600 y Soluble chemistry like Ca
Rn Radon 4 sec - 38 days Noble gas - unreactive soluble
Po Polonium 10-7 sec - 138 days Nutrient element behavior
Pb Lead 30 min - 22 y Reactive heavy metal tracer-particle reactive
Detection of radioactivity
ionization detector- energy windows (each nuclide decay emits a characteristic energy spectrum (eg photons of gamma radiation) and can be distinguished from another)
Fission tracks
Scintillation counting (uses chemicals to absorb radiation energy leading to chain reactions that produce light Light pulses are detected with high sensitivity Again different nuclides can be distinguished based on energy of emission
Radiation is the amount of energy emitted
Radioactivity is a measure of nuclear disintegrations per unit time often given as disintegrations per minute (dpm)
Each time a nucleus decays it is an ldquoeventrdquo or disintegration
Common units of radioactivityCurie = 222 x 1012 disintegrations per minute (dpm) A curie is defined by the amount of radioactivity in 1 gram of Radium
In practice we commonly work in millicuries (222 x 109 dpm) or microcuries (222 x 106 dpm) or just plain dpm
Becquerel - The SI unit for radioactivity
1Bq = 1 disintegrationsec (dps)
So one Curie is = 37 x 1010 Becquerels (dps)
Specific activity ndash the amount of radioactivity per mole of substance eg mCimmol or dpmpmol
238U is the most abundant radionuclide in seawater
~3 g liter-1 mainly as uranyl tricarbonate [UO2(CO3)3]-4 which has uranium in the oxidized form U(+VI) [Uranium] is conservative with salinity
238U dpmliter = 007081 x salinity
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Uranium (+VI) can be reduced by microbes under anoxic conditions adding 2 e- and producing U(+IV) This form is insoluble and precipitates Iron reducing bacteria can carry out this reduction (much interest in this)
At salinity = 35 238U activity = 248 dpmLiter of seawater
For nuclides in solution the chemical concentration (Nliter) is directly proportional to radioactivity per liter (Nliter) since
The absolute concentrations of many nuclides in seawater is very low and not easily measured by chemical means But their radioactivity can be measured
Emerson amp Hedges 2008 Chap 5Emerson amp Hedges 2008 Chap 5
Secular equilibrium (daughter-parent relationships)
For a parent nuclide (P) with a long half life relative to its daughter nuclide (D) the activity of the Parent is given by
dPdt = P[P] and this is the production rate of the Daughter (since daughter is short lived its existence depends on its production from parent)
The rate of change of the Daughter nuclide is determined by its production and loss
dDdt = P[P] - D[D]
rate of change = Production - Loss (by radioactive decay)
At steady state
dDdt = 0 = P[P] - D[D]
P[P] = D[D] or Ap = AD or AD AP = 1
Thus for nuclides with short-lived daughters and long lived parents one predicts that the daughterparent activity ratio ( AD AP) = 1 This situation is termed secular equilibrium For a system starting out with parent nuclide but no daughter AD will grow into the system In other words it takes time to reach secular equilibrium
Act
ivit
y Parent activity
Total activity(parent+daughter)
Time
It takes about 6-8 daughter half-lives to reach secular equilibrium
Parent activity is constant with time since very few atoms decay (because of long half life)
In-growth of daughter activity
Daughter activity becomes constant with time because Production = Loss
The activity of the daughter is supported by the parent
0
1
2
Emerson amp Hedges Chap 5Emerson amp Hedges Chap 5
Changing the decay constant for daughter will change ND but not λND (if λ goes up ND goes
down and vice versa)
The rate of flow into the daughter tank λNP is equal to the flow out λND
Deviations from secular equilibrium
If all nuclides were in secular equilibrium we couldnrsquot learn anything from them
The deviations from equilibrium are the basis for using the nuclides as tracers and chronometers
234Th activity in the water column is often less than its parent 238U because of scavenging which removes the daughter
Any process that adds or removes daughter nuclide will cause deviations from secular equilibrium
The deviations from secular equilibrium can be used to estimate the scavenging rate constant (particle removal rate constant) in the ocean water column (see steady state box model calculations as used in Coale and Bruland 1987 LampO 32 189)
The ldquokrdquo here would be the scavenging rate constant (the fraction of particles exported from the surface ocean to depth per unit time Something very useful to know
d[D]dt = P[P] - D[D] + k[D]
Production of daughter Loss of daughter
Loss by rad decay
Other first order loss (eg scavenging)
y axis
x axis
Which nuclide to use
Must use a nuclide with a half-life close to the rate of the process of interest
Nuclides with short half lifes can only be used to study fast processes
Long-lived nuclides cannot be used to study fast processes (too few decays over short time) and only are useful for slow processes
This matching of decay rate to process rate applies to radio-dating (aging) as well
234Th (t12 = 24 d) is useful for water column particle scavenging rates
coastal oceanic
Expected
Shaded area is deficit of 234Th due to scavening
Coale amp Bruland LampO 1987 ndash Application of Coale amp Bruland LampO 1987 ndash Application of 234234Th scavengingTh scavenging
Mixed layerpycnocline
Euphotic
bull Maximum scavenging near pigment maximum
bull Less scavenging in upper mixed layer (due to efficient recycling of particles amp biomass)
234234Th is particle reactive so most is rapidly adsorbed to Th is particle reactive so most is rapidly adsorbed to particles If particles sink quickly then have deficit of particles If particles sink quickly then have deficit of 234234Th Th
Moran et al 2003 Limnol Oceanogr 48 1018
234Th-derived
Radio-dating of materials with nuclides
Useful for determining the age of a particular piece of matter (organism fossil rock etc)
By obtaining an age for a piece of an accreting deposit (eg sediment coral skeleton clam shell Mn-nodule) at some depth into the deposit the accretion rates of deposit can be determined (assuming steady deposition)
If you can put an age on the sediment in this layer you therefore know how long it took to build up the sediment above it From the depth of the layer and its age (t) you can determine the sediment accretion rate (zt)
Depth z
Sediment core
How to determine ages in deposits
Use unsupported nuclide activities
If deposits are laid down with unsupported daughter activity and no additional inputs (other than supported activity) occur within the deposit then the unsupported (excess) activity will decay with time (=depth) into the deposit Sediment is a good example
20
0
Dep
th (
cm)
AD-excess (unsupported daughter)
Exponential Exponential decay of decay of excess excess activity with activity with depthdepth
The sedimentation or accretion rate is given by
s= zt Thus
t = zs or
t = zs
Substitute zs for t in decay law
Sediment-water interface
ADz = ADo e-λ(zs)
Where ADz is the unsupported activity at depth z and ADo is the unsupported activity at the surface of the deposit This can be rearranged to
ADzADo = e-λ(zs)
And linearized as
ln(ADz) ndash ln(ADo) = -λ(zs) which is the same as
ln(ADz) = ln(ADo) - λ(zs) and the same as
ln(ADz) = ln(ADo) ndash (λs) zX-coordinateslopeY-intercept
210Pb is derived from decay of gaseous 222Rn (t12 = 38 days) which originates in rocks on land but goes into the atmosphere where it is carried over water
210Pb produced in the atmosphere is rapidly rained out and it attaches to particles in the water which sink to the sediments
210Pb (t12 = 223 y) is often used to estimate sediment accretion rates in coastal areas where sedimentation is high
This leads to unsupported 210Pb activity at the surface of the sediment (activity ratio of 210Pb(daughter)226Ra(parent)
gt 1) This is also referred to as excess activity because it is in excess of what is supported by the secular equilibrium of the sedimentary 226Ra parent
Concentrations of unsupported 210Pb in sediments ndash can give estimate of sediment accretion rates
Fig 107 in PilsonFig 107 in Pilson
Linear slope (a) of the semi-log plot gives the sediment accretion rate If slope not linear ndash steady state sedimentation model does not apply
Log
sca
le
(Bioturbated)
Supported 230 Th activity (from 234U decay)
Excess
This figure focuses on the longer lived nuclide 230Th (t12 = 75200 y) Its chemistry (ie particle reactivity) is the same as 234Th but its decay is too slow to be useful for particle scavenging rates in the surface waters It is however useful for sediment accretion rates in the deep ocean where accretion rates are relatively slow
137Cs
Peak emissions of man-made 137Cs (t12 = ~30 y) into the atmosphere occurred in 1963
This particle reactive nuclide is scavenged to sediments where profiles reflect time inputs Depth above 137Cs peak has accreted since 1963
Core taken
in 1986
~10 cm per 23 y
Use of nuclides as event markers
Wetland sedimentsDeLaune et al 1989
137Cs first appeared in atmosphere in ~1953
Picocuries per section
Natural 14C- a cosmogenic nuclide
bull Produced in the upper atmosphere by spallation of 14N
bull Becomes 14CO2 in atmosphere
bull Dissolves in ocean and taken up by plants
bull Diluted by fossil fuel burning of low 14C carbon (Suess effect)
Man-made 14C
Produced from weapons testing ndash peak production in 1960rsquos
Increased atmospheric 14C by over 2x ndash slowly taken up by ocean
(Illustration by Jayne Doucette Woods Hole Oceanographic Institution)httpwwwwhoiedunosamspagedopid=40138
Applications of 14C datingMuch progress with introduction of accelerator mass spectrometer analysis ndash 14C content of micro- to milligram quantities of carbon can be determined
bull Invasion of atmospheric CO2 into ocean can be observed
bull DIC of ocean water can be aged ndash giving estimate of deep residence time
bull POC and DOC in seawater have been aged ndash DOC found to be old
bull Bacteria in surface ocean use a mixture of old and new carbon 14C-content of natural materials (mg quantities) can be measured at the
National Ocean Sciences Accelerator Mass Spectrometry (NOSAMS)Facility at Woods Hole - httpwwwwhoiedunosams
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
Detection of radioactivity
ionization detector- energy windows (each nuclide decay emits a characteristic energy spectrum (eg photons of gamma radiation) and can be distinguished from another)
Fission tracks
Scintillation counting (uses chemicals to absorb radiation energy leading to chain reactions that produce light Light pulses are detected with high sensitivity Again different nuclides can be distinguished based on energy of emission
Radiation is the amount of energy emitted
Radioactivity is a measure of nuclear disintegrations per unit time often given as disintegrations per minute (dpm)
Each time a nucleus decays it is an ldquoeventrdquo or disintegration
Common units of radioactivityCurie = 222 x 1012 disintegrations per minute (dpm) A curie is defined by the amount of radioactivity in 1 gram of Radium
In practice we commonly work in millicuries (222 x 109 dpm) or microcuries (222 x 106 dpm) or just plain dpm
Becquerel - The SI unit for radioactivity
1Bq = 1 disintegrationsec (dps)
So one Curie is = 37 x 1010 Becquerels (dps)
Specific activity ndash the amount of radioactivity per mole of substance eg mCimmol or dpmpmol
238U is the most abundant radionuclide in seawater
~3 g liter-1 mainly as uranyl tricarbonate [UO2(CO3)3]-4 which has uranium in the oxidized form U(+VI) [Uranium] is conservative with salinity
238U dpmliter = 007081 x salinity
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Uranium (+VI) can be reduced by microbes under anoxic conditions adding 2 e- and producing U(+IV) This form is insoluble and precipitates Iron reducing bacteria can carry out this reduction (much interest in this)
At salinity = 35 238U activity = 248 dpmLiter of seawater
For nuclides in solution the chemical concentration (Nliter) is directly proportional to radioactivity per liter (Nliter) since
The absolute concentrations of many nuclides in seawater is very low and not easily measured by chemical means But their radioactivity can be measured
Emerson amp Hedges 2008 Chap 5Emerson amp Hedges 2008 Chap 5
Secular equilibrium (daughter-parent relationships)
For a parent nuclide (P) with a long half life relative to its daughter nuclide (D) the activity of the Parent is given by
dPdt = P[P] and this is the production rate of the Daughter (since daughter is short lived its existence depends on its production from parent)
The rate of change of the Daughter nuclide is determined by its production and loss
dDdt = P[P] - D[D]
rate of change = Production - Loss (by radioactive decay)
At steady state
dDdt = 0 = P[P] - D[D]
P[P] = D[D] or Ap = AD or AD AP = 1
Thus for nuclides with short-lived daughters and long lived parents one predicts that the daughterparent activity ratio ( AD AP) = 1 This situation is termed secular equilibrium For a system starting out with parent nuclide but no daughter AD will grow into the system In other words it takes time to reach secular equilibrium
Act
ivit
y Parent activity
Total activity(parent+daughter)
Time
It takes about 6-8 daughter half-lives to reach secular equilibrium
Parent activity is constant with time since very few atoms decay (because of long half life)
In-growth of daughter activity
Daughter activity becomes constant with time because Production = Loss
The activity of the daughter is supported by the parent
0
1
2
Emerson amp Hedges Chap 5Emerson amp Hedges Chap 5
Changing the decay constant for daughter will change ND but not λND (if λ goes up ND goes
down and vice versa)
The rate of flow into the daughter tank λNP is equal to the flow out λND
Deviations from secular equilibrium
If all nuclides were in secular equilibrium we couldnrsquot learn anything from them
The deviations from equilibrium are the basis for using the nuclides as tracers and chronometers
234Th activity in the water column is often less than its parent 238U because of scavenging which removes the daughter
Any process that adds or removes daughter nuclide will cause deviations from secular equilibrium
The deviations from secular equilibrium can be used to estimate the scavenging rate constant (particle removal rate constant) in the ocean water column (see steady state box model calculations as used in Coale and Bruland 1987 LampO 32 189)
The ldquokrdquo here would be the scavenging rate constant (the fraction of particles exported from the surface ocean to depth per unit time Something very useful to know
d[D]dt = P[P] - D[D] + k[D]
Production of daughter Loss of daughter
Loss by rad decay
Other first order loss (eg scavenging)
y axis
x axis
Which nuclide to use
Must use a nuclide with a half-life close to the rate of the process of interest
Nuclides with short half lifes can only be used to study fast processes
Long-lived nuclides cannot be used to study fast processes (too few decays over short time) and only are useful for slow processes
This matching of decay rate to process rate applies to radio-dating (aging) as well
234Th (t12 = 24 d) is useful for water column particle scavenging rates
coastal oceanic
Expected
Shaded area is deficit of 234Th due to scavening
Coale amp Bruland LampO 1987 ndash Application of Coale amp Bruland LampO 1987 ndash Application of 234234Th scavengingTh scavenging
Mixed layerpycnocline
Euphotic
bull Maximum scavenging near pigment maximum
bull Less scavenging in upper mixed layer (due to efficient recycling of particles amp biomass)
234234Th is particle reactive so most is rapidly adsorbed to Th is particle reactive so most is rapidly adsorbed to particles If particles sink quickly then have deficit of particles If particles sink quickly then have deficit of 234234Th Th
Moran et al 2003 Limnol Oceanogr 48 1018
234Th-derived
Radio-dating of materials with nuclides
Useful for determining the age of a particular piece of matter (organism fossil rock etc)
By obtaining an age for a piece of an accreting deposit (eg sediment coral skeleton clam shell Mn-nodule) at some depth into the deposit the accretion rates of deposit can be determined (assuming steady deposition)
If you can put an age on the sediment in this layer you therefore know how long it took to build up the sediment above it From the depth of the layer and its age (t) you can determine the sediment accretion rate (zt)
Depth z
Sediment core
How to determine ages in deposits
Use unsupported nuclide activities
If deposits are laid down with unsupported daughter activity and no additional inputs (other than supported activity) occur within the deposit then the unsupported (excess) activity will decay with time (=depth) into the deposit Sediment is a good example
20
0
Dep
th (
cm)
AD-excess (unsupported daughter)
Exponential Exponential decay of decay of excess excess activity with activity with depthdepth
The sedimentation or accretion rate is given by
s= zt Thus
t = zs or
t = zs
Substitute zs for t in decay law
Sediment-water interface
ADz = ADo e-λ(zs)
Where ADz is the unsupported activity at depth z and ADo is the unsupported activity at the surface of the deposit This can be rearranged to
ADzADo = e-λ(zs)
And linearized as
ln(ADz) ndash ln(ADo) = -λ(zs) which is the same as
ln(ADz) = ln(ADo) - λ(zs) and the same as
ln(ADz) = ln(ADo) ndash (λs) zX-coordinateslopeY-intercept
210Pb is derived from decay of gaseous 222Rn (t12 = 38 days) which originates in rocks on land but goes into the atmosphere where it is carried over water
210Pb produced in the atmosphere is rapidly rained out and it attaches to particles in the water which sink to the sediments
210Pb (t12 = 223 y) is often used to estimate sediment accretion rates in coastal areas where sedimentation is high
This leads to unsupported 210Pb activity at the surface of the sediment (activity ratio of 210Pb(daughter)226Ra(parent)
gt 1) This is also referred to as excess activity because it is in excess of what is supported by the secular equilibrium of the sedimentary 226Ra parent
Concentrations of unsupported 210Pb in sediments ndash can give estimate of sediment accretion rates
Fig 107 in PilsonFig 107 in Pilson
Linear slope (a) of the semi-log plot gives the sediment accretion rate If slope not linear ndash steady state sedimentation model does not apply
Log
sca
le
(Bioturbated)
Supported 230 Th activity (from 234U decay)
Excess
This figure focuses on the longer lived nuclide 230Th (t12 = 75200 y) Its chemistry (ie particle reactivity) is the same as 234Th but its decay is too slow to be useful for particle scavenging rates in the surface waters It is however useful for sediment accretion rates in the deep ocean where accretion rates are relatively slow
137Cs
Peak emissions of man-made 137Cs (t12 = ~30 y) into the atmosphere occurred in 1963
This particle reactive nuclide is scavenged to sediments where profiles reflect time inputs Depth above 137Cs peak has accreted since 1963
Core taken
in 1986
~10 cm per 23 y
Use of nuclides as event markers
Wetland sedimentsDeLaune et al 1989
137Cs first appeared in atmosphere in ~1953
Picocuries per section
Natural 14C- a cosmogenic nuclide
bull Produced in the upper atmosphere by spallation of 14N
bull Becomes 14CO2 in atmosphere
bull Dissolves in ocean and taken up by plants
bull Diluted by fossil fuel burning of low 14C carbon (Suess effect)
Man-made 14C
Produced from weapons testing ndash peak production in 1960rsquos
Increased atmospheric 14C by over 2x ndash slowly taken up by ocean
(Illustration by Jayne Doucette Woods Hole Oceanographic Institution)httpwwwwhoiedunosamspagedopid=40138
Applications of 14C datingMuch progress with introduction of accelerator mass spectrometer analysis ndash 14C content of micro- to milligram quantities of carbon can be determined
bull Invasion of atmospheric CO2 into ocean can be observed
bull DIC of ocean water can be aged ndash giving estimate of deep residence time
bull POC and DOC in seawater have been aged ndash DOC found to be old
bull Bacteria in surface ocean use a mixture of old and new carbon 14C-content of natural materials (mg quantities) can be measured at the
National Ocean Sciences Accelerator Mass Spectrometry (NOSAMS)Facility at Woods Hole - httpwwwwhoiedunosams
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
Common units of radioactivityCurie = 222 x 1012 disintegrations per minute (dpm) A curie is defined by the amount of radioactivity in 1 gram of Radium
In practice we commonly work in millicuries (222 x 109 dpm) or microcuries (222 x 106 dpm) or just plain dpm
Becquerel - The SI unit for radioactivity
1Bq = 1 disintegrationsec (dps)
So one Curie is = 37 x 1010 Becquerels (dps)
Specific activity ndash the amount of radioactivity per mole of substance eg mCimmol or dpmpmol
238U is the most abundant radionuclide in seawater
~3 g liter-1 mainly as uranyl tricarbonate [UO2(CO3)3]-4 which has uranium in the oxidized form U(+VI) [Uranium] is conservative with salinity
238U dpmliter = 007081 x salinity
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Uranium (+VI) can be reduced by microbes under anoxic conditions adding 2 e- and producing U(+IV) This form is insoluble and precipitates Iron reducing bacteria can carry out this reduction (much interest in this)
At salinity = 35 238U activity = 248 dpmLiter of seawater
For nuclides in solution the chemical concentration (Nliter) is directly proportional to radioactivity per liter (Nliter) since
The absolute concentrations of many nuclides in seawater is very low and not easily measured by chemical means But their radioactivity can be measured
Emerson amp Hedges 2008 Chap 5Emerson amp Hedges 2008 Chap 5
Secular equilibrium (daughter-parent relationships)
For a parent nuclide (P) with a long half life relative to its daughter nuclide (D) the activity of the Parent is given by
dPdt = P[P] and this is the production rate of the Daughter (since daughter is short lived its existence depends on its production from parent)
The rate of change of the Daughter nuclide is determined by its production and loss
dDdt = P[P] - D[D]
rate of change = Production - Loss (by radioactive decay)
At steady state
dDdt = 0 = P[P] - D[D]
P[P] = D[D] or Ap = AD or AD AP = 1
Thus for nuclides with short-lived daughters and long lived parents one predicts that the daughterparent activity ratio ( AD AP) = 1 This situation is termed secular equilibrium For a system starting out with parent nuclide but no daughter AD will grow into the system In other words it takes time to reach secular equilibrium
Act
ivit
y Parent activity
Total activity(parent+daughter)
Time
It takes about 6-8 daughter half-lives to reach secular equilibrium
Parent activity is constant with time since very few atoms decay (because of long half life)
In-growth of daughter activity
Daughter activity becomes constant with time because Production = Loss
The activity of the daughter is supported by the parent
0
1
2
Emerson amp Hedges Chap 5Emerson amp Hedges Chap 5
Changing the decay constant for daughter will change ND but not λND (if λ goes up ND goes
down and vice versa)
The rate of flow into the daughter tank λNP is equal to the flow out λND
Deviations from secular equilibrium
If all nuclides were in secular equilibrium we couldnrsquot learn anything from them
The deviations from equilibrium are the basis for using the nuclides as tracers and chronometers
234Th activity in the water column is often less than its parent 238U because of scavenging which removes the daughter
Any process that adds or removes daughter nuclide will cause deviations from secular equilibrium
The deviations from secular equilibrium can be used to estimate the scavenging rate constant (particle removal rate constant) in the ocean water column (see steady state box model calculations as used in Coale and Bruland 1987 LampO 32 189)
The ldquokrdquo here would be the scavenging rate constant (the fraction of particles exported from the surface ocean to depth per unit time Something very useful to know
d[D]dt = P[P] - D[D] + k[D]
Production of daughter Loss of daughter
Loss by rad decay
Other first order loss (eg scavenging)
y axis
x axis
Which nuclide to use
Must use a nuclide with a half-life close to the rate of the process of interest
Nuclides with short half lifes can only be used to study fast processes
Long-lived nuclides cannot be used to study fast processes (too few decays over short time) and only are useful for slow processes
This matching of decay rate to process rate applies to radio-dating (aging) as well
234Th (t12 = 24 d) is useful for water column particle scavenging rates
coastal oceanic
Expected
Shaded area is deficit of 234Th due to scavening
Coale amp Bruland LampO 1987 ndash Application of Coale amp Bruland LampO 1987 ndash Application of 234234Th scavengingTh scavenging
Mixed layerpycnocline
Euphotic
bull Maximum scavenging near pigment maximum
bull Less scavenging in upper mixed layer (due to efficient recycling of particles amp biomass)
234234Th is particle reactive so most is rapidly adsorbed to Th is particle reactive so most is rapidly adsorbed to particles If particles sink quickly then have deficit of particles If particles sink quickly then have deficit of 234234Th Th
Moran et al 2003 Limnol Oceanogr 48 1018
234Th-derived
Radio-dating of materials with nuclides
Useful for determining the age of a particular piece of matter (organism fossil rock etc)
By obtaining an age for a piece of an accreting deposit (eg sediment coral skeleton clam shell Mn-nodule) at some depth into the deposit the accretion rates of deposit can be determined (assuming steady deposition)
If you can put an age on the sediment in this layer you therefore know how long it took to build up the sediment above it From the depth of the layer and its age (t) you can determine the sediment accretion rate (zt)
Depth z
Sediment core
How to determine ages in deposits
Use unsupported nuclide activities
If deposits are laid down with unsupported daughter activity and no additional inputs (other than supported activity) occur within the deposit then the unsupported (excess) activity will decay with time (=depth) into the deposit Sediment is a good example
20
0
Dep
th (
cm)
AD-excess (unsupported daughter)
Exponential Exponential decay of decay of excess excess activity with activity with depthdepth
The sedimentation or accretion rate is given by
s= zt Thus
t = zs or
t = zs
Substitute zs for t in decay law
Sediment-water interface
ADz = ADo e-λ(zs)
Where ADz is the unsupported activity at depth z and ADo is the unsupported activity at the surface of the deposit This can be rearranged to
ADzADo = e-λ(zs)
And linearized as
ln(ADz) ndash ln(ADo) = -λ(zs) which is the same as
ln(ADz) = ln(ADo) - λ(zs) and the same as
ln(ADz) = ln(ADo) ndash (λs) zX-coordinateslopeY-intercept
210Pb is derived from decay of gaseous 222Rn (t12 = 38 days) which originates in rocks on land but goes into the atmosphere where it is carried over water
210Pb produced in the atmosphere is rapidly rained out and it attaches to particles in the water which sink to the sediments
210Pb (t12 = 223 y) is often used to estimate sediment accretion rates in coastal areas where sedimentation is high
This leads to unsupported 210Pb activity at the surface of the sediment (activity ratio of 210Pb(daughter)226Ra(parent)
gt 1) This is also referred to as excess activity because it is in excess of what is supported by the secular equilibrium of the sedimentary 226Ra parent
Concentrations of unsupported 210Pb in sediments ndash can give estimate of sediment accretion rates
Fig 107 in PilsonFig 107 in Pilson
Linear slope (a) of the semi-log plot gives the sediment accretion rate If slope not linear ndash steady state sedimentation model does not apply
Log
sca
le
(Bioturbated)
Supported 230 Th activity (from 234U decay)
Excess
This figure focuses on the longer lived nuclide 230Th (t12 = 75200 y) Its chemistry (ie particle reactivity) is the same as 234Th but its decay is too slow to be useful for particle scavenging rates in the surface waters It is however useful for sediment accretion rates in the deep ocean where accretion rates are relatively slow
137Cs
Peak emissions of man-made 137Cs (t12 = ~30 y) into the atmosphere occurred in 1963
This particle reactive nuclide is scavenged to sediments where profiles reflect time inputs Depth above 137Cs peak has accreted since 1963
Core taken
in 1986
~10 cm per 23 y
Use of nuclides as event markers
Wetland sedimentsDeLaune et al 1989
137Cs first appeared in atmosphere in ~1953
Picocuries per section
Natural 14C- a cosmogenic nuclide
bull Produced in the upper atmosphere by spallation of 14N
bull Becomes 14CO2 in atmosphere
bull Dissolves in ocean and taken up by plants
bull Diluted by fossil fuel burning of low 14C carbon (Suess effect)
Man-made 14C
Produced from weapons testing ndash peak production in 1960rsquos
Increased atmospheric 14C by over 2x ndash slowly taken up by ocean
(Illustration by Jayne Doucette Woods Hole Oceanographic Institution)httpwwwwhoiedunosamspagedopid=40138
Applications of 14C datingMuch progress with introduction of accelerator mass spectrometer analysis ndash 14C content of micro- to milligram quantities of carbon can be determined
bull Invasion of atmospheric CO2 into ocean can be observed
bull DIC of ocean water can be aged ndash giving estimate of deep residence time
bull POC and DOC in seawater have been aged ndash DOC found to be old
bull Bacteria in surface ocean use a mixture of old and new carbon 14C-content of natural materials (mg quantities) can be measured at the
National Ocean Sciences Accelerator Mass Spectrometry (NOSAMS)Facility at Woods Hole - httpwwwwhoiedunosams
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
238U is the most abundant radionuclide in seawater
~3 g liter-1 mainly as uranyl tricarbonate [UO2(CO3)3]-4 which has uranium in the oxidized form U(+VI) [Uranium] is conservative with salinity
238U dpmliter = 007081 x salinity
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Uranium (+VI) can be reduced by microbes under anoxic conditions adding 2 e- and producing U(+IV) This form is insoluble and precipitates Iron reducing bacteria can carry out this reduction (much interest in this)
At salinity = 35 238U activity = 248 dpmLiter of seawater
For nuclides in solution the chemical concentration (Nliter) is directly proportional to radioactivity per liter (Nliter) since
The absolute concentrations of many nuclides in seawater is very low and not easily measured by chemical means But their radioactivity can be measured
Emerson amp Hedges 2008 Chap 5Emerson amp Hedges 2008 Chap 5
Secular equilibrium (daughter-parent relationships)
For a parent nuclide (P) with a long half life relative to its daughter nuclide (D) the activity of the Parent is given by
dPdt = P[P] and this is the production rate of the Daughter (since daughter is short lived its existence depends on its production from parent)
The rate of change of the Daughter nuclide is determined by its production and loss
dDdt = P[P] - D[D]
rate of change = Production - Loss (by radioactive decay)
At steady state
dDdt = 0 = P[P] - D[D]
P[P] = D[D] or Ap = AD or AD AP = 1
Thus for nuclides with short-lived daughters and long lived parents one predicts that the daughterparent activity ratio ( AD AP) = 1 This situation is termed secular equilibrium For a system starting out with parent nuclide but no daughter AD will grow into the system In other words it takes time to reach secular equilibrium
Act
ivit
y Parent activity
Total activity(parent+daughter)
Time
It takes about 6-8 daughter half-lives to reach secular equilibrium
Parent activity is constant with time since very few atoms decay (because of long half life)
In-growth of daughter activity
Daughter activity becomes constant with time because Production = Loss
The activity of the daughter is supported by the parent
0
1
2
Emerson amp Hedges Chap 5Emerson amp Hedges Chap 5
Changing the decay constant for daughter will change ND but not λND (if λ goes up ND goes
down and vice versa)
The rate of flow into the daughter tank λNP is equal to the flow out λND
Deviations from secular equilibrium
If all nuclides were in secular equilibrium we couldnrsquot learn anything from them
The deviations from equilibrium are the basis for using the nuclides as tracers and chronometers
234Th activity in the water column is often less than its parent 238U because of scavenging which removes the daughter
Any process that adds or removes daughter nuclide will cause deviations from secular equilibrium
The deviations from secular equilibrium can be used to estimate the scavenging rate constant (particle removal rate constant) in the ocean water column (see steady state box model calculations as used in Coale and Bruland 1987 LampO 32 189)
The ldquokrdquo here would be the scavenging rate constant (the fraction of particles exported from the surface ocean to depth per unit time Something very useful to know
d[D]dt = P[P] - D[D] + k[D]
Production of daughter Loss of daughter
Loss by rad decay
Other first order loss (eg scavenging)
y axis
x axis
Which nuclide to use
Must use a nuclide with a half-life close to the rate of the process of interest
Nuclides with short half lifes can only be used to study fast processes
Long-lived nuclides cannot be used to study fast processes (too few decays over short time) and only are useful for slow processes
This matching of decay rate to process rate applies to radio-dating (aging) as well
234Th (t12 = 24 d) is useful for water column particle scavenging rates
coastal oceanic
Expected
Shaded area is deficit of 234Th due to scavening
Coale amp Bruland LampO 1987 ndash Application of Coale amp Bruland LampO 1987 ndash Application of 234234Th scavengingTh scavenging
Mixed layerpycnocline
Euphotic
bull Maximum scavenging near pigment maximum
bull Less scavenging in upper mixed layer (due to efficient recycling of particles amp biomass)
234234Th is particle reactive so most is rapidly adsorbed to Th is particle reactive so most is rapidly adsorbed to particles If particles sink quickly then have deficit of particles If particles sink quickly then have deficit of 234234Th Th
Moran et al 2003 Limnol Oceanogr 48 1018
234Th-derived
Radio-dating of materials with nuclides
Useful for determining the age of a particular piece of matter (organism fossil rock etc)
By obtaining an age for a piece of an accreting deposit (eg sediment coral skeleton clam shell Mn-nodule) at some depth into the deposit the accretion rates of deposit can be determined (assuming steady deposition)
If you can put an age on the sediment in this layer you therefore know how long it took to build up the sediment above it From the depth of the layer and its age (t) you can determine the sediment accretion rate (zt)
Depth z
Sediment core
How to determine ages in deposits
Use unsupported nuclide activities
If deposits are laid down with unsupported daughter activity and no additional inputs (other than supported activity) occur within the deposit then the unsupported (excess) activity will decay with time (=depth) into the deposit Sediment is a good example
20
0
Dep
th (
cm)
AD-excess (unsupported daughter)
Exponential Exponential decay of decay of excess excess activity with activity with depthdepth
The sedimentation or accretion rate is given by
s= zt Thus
t = zs or
t = zs
Substitute zs for t in decay law
Sediment-water interface
ADz = ADo e-λ(zs)
Where ADz is the unsupported activity at depth z and ADo is the unsupported activity at the surface of the deposit This can be rearranged to
ADzADo = e-λ(zs)
And linearized as
ln(ADz) ndash ln(ADo) = -λ(zs) which is the same as
ln(ADz) = ln(ADo) - λ(zs) and the same as
ln(ADz) = ln(ADo) ndash (λs) zX-coordinateslopeY-intercept
210Pb is derived from decay of gaseous 222Rn (t12 = 38 days) which originates in rocks on land but goes into the atmosphere where it is carried over water
210Pb produced in the atmosphere is rapidly rained out and it attaches to particles in the water which sink to the sediments
210Pb (t12 = 223 y) is often used to estimate sediment accretion rates in coastal areas where sedimentation is high
This leads to unsupported 210Pb activity at the surface of the sediment (activity ratio of 210Pb(daughter)226Ra(parent)
gt 1) This is also referred to as excess activity because it is in excess of what is supported by the secular equilibrium of the sedimentary 226Ra parent
Concentrations of unsupported 210Pb in sediments ndash can give estimate of sediment accretion rates
Fig 107 in PilsonFig 107 in Pilson
Linear slope (a) of the semi-log plot gives the sediment accretion rate If slope not linear ndash steady state sedimentation model does not apply
Log
sca
le
(Bioturbated)
Supported 230 Th activity (from 234U decay)
Excess
This figure focuses on the longer lived nuclide 230Th (t12 = 75200 y) Its chemistry (ie particle reactivity) is the same as 234Th but its decay is too slow to be useful for particle scavenging rates in the surface waters It is however useful for sediment accretion rates in the deep ocean where accretion rates are relatively slow
137Cs
Peak emissions of man-made 137Cs (t12 = ~30 y) into the atmosphere occurred in 1963
This particle reactive nuclide is scavenged to sediments where profiles reflect time inputs Depth above 137Cs peak has accreted since 1963
Core taken
in 1986
~10 cm per 23 y
Use of nuclides as event markers
Wetland sedimentsDeLaune et al 1989
137Cs first appeared in atmosphere in ~1953
Picocuries per section
Natural 14C- a cosmogenic nuclide
bull Produced in the upper atmosphere by spallation of 14N
bull Becomes 14CO2 in atmosphere
bull Dissolves in ocean and taken up by plants
bull Diluted by fossil fuel burning of low 14C carbon (Suess effect)
Man-made 14C
Produced from weapons testing ndash peak production in 1960rsquos
Increased atmospheric 14C by over 2x ndash slowly taken up by ocean
(Illustration by Jayne Doucette Woods Hole Oceanographic Institution)httpwwwwhoiedunosamspagedopid=40138
Applications of 14C datingMuch progress with introduction of accelerator mass spectrometer analysis ndash 14C content of micro- to milligram quantities of carbon can be determined
bull Invasion of atmospheric CO2 into ocean can be observed
bull DIC of ocean water can be aged ndash giving estimate of deep residence time
bull POC and DOC in seawater have been aged ndash DOC found to be old
bull Bacteria in surface ocean use a mixture of old and new carbon 14C-content of natural materials (mg quantities) can be measured at the
National Ocean Sciences Accelerator Mass Spectrometry (NOSAMS)Facility at Woods Hole - httpwwwwhoiedunosams
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
For nuclides in solution the chemical concentration (Nliter) is directly proportional to radioactivity per liter (Nliter) since
The absolute concentrations of many nuclides in seawater is very low and not easily measured by chemical means But their radioactivity can be measured
Emerson amp Hedges 2008 Chap 5Emerson amp Hedges 2008 Chap 5
Secular equilibrium (daughter-parent relationships)
For a parent nuclide (P) with a long half life relative to its daughter nuclide (D) the activity of the Parent is given by
dPdt = P[P] and this is the production rate of the Daughter (since daughter is short lived its existence depends on its production from parent)
The rate of change of the Daughter nuclide is determined by its production and loss
dDdt = P[P] - D[D]
rate of change = Production - Loss (by radioactive decay)
At steady state
dDdt = 0 = P[P] - D[D]
P[P] = D[D] or Ap = AD or AD AP = 1
Thus for nuclides with short-lived daughters and long lived parents one predicts that the daughterparent activity ratio ( AD AP) = 1 This situation is termed secular equilibrium For a system starting out with parent nuclide but no daughter AD will grow into the system In other words it takes time to reach secular equilibrium
Act
ivit
y Parent activity
Total activity(parent+daughter)
Time
It takes about 6-8 daughter half-lives to reach secular equilibrium
Parent activity is constant with time since very few atoms decay (because of long half life)
In-growth of daughter activity
Daughter activity becomes constant with time because Production = Loss
The activity of the daughter is supported by the parent
0
1
2
Emerson amp Hedges Chap 5Emerson amp Hedges Chap 5
Changing the decay constant for daughter will change ND but not λND (if λ goes up ND goes
down and vice versa)
The rate of flow into the daughter tank λNP is equal to the flow out λND
Deviations from secular equilibrium
If all nuclides were in secular equilibrium we couldnrsquot learn anything from them
The deviations from equilibrium are the basis for using the nuclides as tracers and chronometers
234Th activity in the water column is often less than its parent 238U because of scavenging which removes the daughter
Any process that adds or removes daughter nuclide will cause deviations from secular equilibrium
The deviations from secular equilibrium can be used to estimate the scavenging rate constant (particle removal rate constant) in the ocean water column (see steady state box model calculations as used in Coale and Bruland 1987 LampO 32 189)
The ldquokrdquo here would be the scavenging rate constant (the fraction of particles exported from the surface ocean to depth per unit time Something very useful to know
d[D]dt = P[P] - D[D] + k[D]
Production of daughter Loss of daughter
Loss by rad decay
Other first order loss (eg scavenging)
y axis
x axis
Which nuclide to use
Must use a nuclide with a half-life close to the rate of the process of interest
Nuclides with short half lifes can only be used to study fast processes
Long-lived nuclides cannot be used to study fast processes (too few decays over short time) and only are useful for slow processes
This matching of decay rate to process rate applies to radio-dating (aging) as well
234Th (t12 = 24 d) is useful for water column particle scavenging rates
coastal oceanic
Expected
Shaded area is deficit of 234Th due to scavening
Coale amp Bruland LampO 1987 ndash Application of Coale amp Bruland LampO 1987 ndash Application of 234234Th scavengingTh scavenging
Mixed layerpycnocline
Euphotic
bull Maximum scavenging near pigment maximum
bull Less scavenging in upper mixed layer (due to efficient recycling of particles amp biomass)
234234Th is particle reactive so most is rapidly adsorbed to Th is particle reactive so most is rapidly adsorbed to particles If particles sink quickly then have deficit of particles If particles sink quickly then have deficit of 234234Th Th
Moran et al 2003 Limnol Oceanogr 48 1018
234Th-derived
Radio-dating of materials with nuclides
Useful for determining the age of a particular piece of matter (organism fossil rock etc)
By obtaining an age for a piece of an accreting deposit (eg sediment coral skeleton clam shell Mn-nodule) at some depth into the deposit the accretion rates of deposit can be determined (assuming steady deposition)
If you can put an age on the sediment in this layer you therefore know how long it took to build up the sediment above it From the depth of the layer and its age (t) you can determine the sediment accretion rate (zt)
Depth z
Sediment core
How to determine ages in deposits
Use unsupported nuclide activities
If deposits are laid down with unsupported daughter activity and no additional inputs (other than supported activity) occur within the deposit then the unsupported (excess) activity will decay with time (=depth) into the deposit Sediment is a good example
20
0
Dep
th (
cm)
AD-excess (unsupported daughter)
Exponential Exponential decay of decay of excess excess activity with activity with depthdepth
The sedimentation or accretion rate is given by
s= zt Thus
t = zs or
t = zs
Substitute zs for t in decay law
Sediment-water interface
ADz = ADo e-λ(zs)
Where ADz is the unsupported activity at depth z and ADo is the unsupported activity at the surface of the deposit This can be rearranged to
ADzADo = e-λ(zs)
And linearized as
ln(ADz) ndash ln(ADo) = -λ(zs) which is the same as
ln(ADz) = ln(ADo) - λ(zs) and the same as
ln(ADz) = ln(ADo) ndash (λs) zX-coordinateslopeY-intercept
210Pb is derived from decay of gaseous 222Rn (t12 = 38 days) which originates in rocks on land but goes into the atmosphere where it is carried over water
210Pb produced in the atmosphere is rapidly rained out and it attaches to particles in the water which sink to the sediments
210Pb (t12 = 223 y) is often used to estimate sediment accretion rates in coastal areas where sedimentation is high
This leads to unsupported 210Pb activity at the surface of the sediment (activity ratio of 210Pb(daughter)226Ra(parent)
gt 1) This is also referred to as excess activity because it is in excess of what is supported by the secular equilibrium of the sedimentary 226Ra parent
Concentrations of unsupported 210Pb in sediments ndash can give estimate of sediment accretion rates
Fig 107 in PilsonFig 107 in Pilson
Linear slope (a) of the semi-log plot gives the sediment accretion rate If slope not linear ndash steady state sedimentation model does not apply
Log
sca
le
(Bioturbated)
Supported 230 Th activity (from 234U decay)
Excess
This figure focuses on the longer lived nuclide 230Th (t12 = 75200 y) Its chemistry (ie particle reactivity) is the same as 234Th but its decay is too slow to be useful for particle scavenging rates in the surface waters It is however useful for sediment accretion rates in the deep ocean where accretion rates are relatively slow
137Cs
Peak emissions of man-made 137Cs (t12 = ~30 y) into the atmosphere occurred in 1963
This particle reactive nuclide is scavenged to sediments where profiles reflect time inputs Depth above 137Cs peak has accreted since 1963
Core taken
in 1986
~10 cm per 23 y
Use of nuclides as event markers
Wetland sedimentsDeLaune et al 1989
137Cs first appeared in atmosphere in ~1953
Picocuries per section
Natural 14C- a cosmogenic nuclide
bull Produced in the upper atmosphere by spallation of 14N
bull Becomes 14CO2 in atmosphere
bull Dissolves in ocean and taken up by plants
bull Diluted by fossil fuel burning of low 14C carbon (Suess effect)
Man-made 14C
Produced from weapons testing ndash peak production in 1960rsquos
Increased atmospheric 14C by over 2x ndash slowly taken up by ocean
(Illustration by Jayne Doucette Woods Hole Oceanographic Institution)httpwwwwhoiedunosamspagedopid=40138
Applications of 14C datingMuch progress with introduction of accelerator mass spectrometer analysis ndash 14C content of micro- to milligram quantities of carbon can be determined
bull Invasion of atmospheric CO2 into ocean can be observed
bull DIC of ocean water can be aged ndash giving estimate of deep residence time
bull POC and DOC in seawater have been aged ndash DOC found to be old
bull Bacteria in surface ocean use a mixture of old and new carbon 14C-content of natural materials (mg quantities) can be measured at the
National Ocean Sciences Accelerator Mass Spectrometry (NOSAMS)Facility at Woods Hole - httpwwwwhoiedunosams
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
Emerson amp Hedges 2008 Chap 5Emerson amp Hedges 2008 Chap 5
Secular equilibrium (daughter-parent relationships)
For a parent nuclide (P) with a long half life relative to its daughter nuclide (D) the activity of the Parent is given by
dPdt = P[P] and this is the production rate of the Daughter (since daughter is short lived its existence depends on its production from parent)
The rate of change of the Daughter nuclide is determined by its production and loss
dDdt = P[P] - D[D]
rate of change = Production - Loss (by radioactive decay)
At steady state
dDdt = 0 = P[P] - D[D]
P[P] = D[D] or Ap = AD or AD AP = 1
Thus for nuclides with short-lived daughters and long lived parents one predicts that the daughterparent activity ratio ( AD AP) = 1 This situation is termed secular equilibrium For a system starting out with parent nuclide but no daughter AD will grow into the system In other words it takes time to reach secular equilibrium
Act
ivit
y Parent activity
Total activity(parent+daughter)
Time
It takes about 6-8 daughter half-lives to reach secular equilibrium
Parent activity is constant with time since very few atoms decay (because of long half life)
In-growth of daughter activity
Daughter activity becomes constant with time because Production = Loss
The activity of the daughter is supported by the parent
0
1
2
Emerson amp Hedges Chap 5Emerson amp Hedges Chap 5
Changing the decay constant for daughter will change ND but not λND (if λ goes up ND goes
down and vice versa)
The rate of flow into the daughter tank λNP is equal to the flow out λND
Deviations from secular equilibrium
If all nuclides were in secular equilibrium we couldnrsquot learn anything from them
The deviations from equilibrium are the basis for using the nuclides as tracers and chronometers
234Th activity in the water column is often less than its parent 238U because of scavenging which removes the daughter
Any process that adds or removes daughter nuclide will cause deviations from secular equilibrium
The deviations from secular equilibrium can be used to estimate the scavenging rate constant (particle removal rate constant) in the ocean water column (see steady state box model calculations as used in Coale and Bruland 1987 LampO 32 189)
The ldquokrdquo here would be the scavenging rate constant (the fraction of particles exported from the surface ocean to depth per unit time Something very useful to know
d[D]dt = P[P] - D[D] + k[D]
Production of daughter Loss of daughter
Loss by rad decay
Other first order loss (eg scavenging)
y axis
x axis
Which nuclide to use
Must use a nuclide with a half-life close to the rate of the process of interest
Nuclides with short half lifes can only be used to study fast processes
Long-lived nuclides cannot be used to study fast processes (too few decays over short time) and only are useful for slow processes
This matching of decay rate to process rate applies to radio-dating (aging) as well
234Th (t12 = 24 d) is useful for water column particle scavenging rates
coastal oceanic
Expected
Shaded area is deficit of 234Th due to scavening
Coale amp Bruland LampO 1987 ndash Application of Coale amp Bruland LampO 1987 ndash Application of 234234Th scavengingTh scavenging
Mixed layerpycnocline
Euphotic
bull Maximum scavenging near pigment maximum
bull Less scavenging in upper mixed layer (due to efficient recycling of particles amp biomass)
234234Th is particle reactive so most is rapidly adsorbed to Th is particle reactive so most is rapidly adsorbed to particles If particles sink quickly then have deficit of particles If particles sink quickly then have deficit of 234234Th Th
Moran et al 2003 Limnol Oceanogr 48 1018
234Th-derived
Radio-dating of materials with nuclides
Useful for determining the age of a particular piece of matter (organism fossil rock etc)
By obtaining an age for a piece of an accreting deposit (eg sediment coral skeleton clam shell Mn-nodule) at some depth into the deposit the accretion rates of deposit can be determined (assuming steady deposition)
If you can put an age on the sediment in this layer you therefore know how long it took to build up the sediment above it From the depth of the layer and its age (t) you can determine the sediment accretion rate (zt)
Depth z
Sediment core
How to determine ages in deposits
Use unsupported nuclide activities
If deposits are laid down with unsupported daughter activity and no additional inputs (other than supported activity) occur within the deposit then the unsupported (excess) activity will decay with time (=depth) into the deposit Sediment is a good example
20
0
Dep
th (
cm)
AD-excess (unsupported daughter)
Exponential Exponential decay of decay of excess excess activity with activity with depthdepth
The sedimentation or accretion rate is given by
s= zt Thus
t = zs or
t = zs
Substitute zs for t in decay law
Sediment-water interface
ADz = ADo e-λ(zs)
Where ADz is the unsupported activity at depth z and ADo is the unsupported activity at the surface of the deposit This can be rearranged to
ADzADo = e-λ(zs)
And linearized as
ln(ADz) ndash ln(ADo) = -λ(zs) which is the same as
ln(ADz) = ln(ADo) - λ(zs) and the same as
ln(ADz) = ln(ADo) ndash (λs) zX-coordinateslopeY-intercept
210Pb is derived from decay of gaseous 222Rn (t12 = 38 days) which originates in rocks on land but goes into the atmosphere where it is carried over water
210Pb produced in the atmosphere is rapidly rained out and it attaches to particles in the water which sink to the sediments
210Pb (t12 = 223 y) is often used to estimate sediment accretion rates in coastal areas where sedimentation is high
This leads to unsupported 210Pb activity at the surface of the sediment (activity ratio of 210Pb(daughter)226Ra(parent)
gt 1) This is also referred to as excess activity because it is in excess of what is supported by the secular equilibrium of the sedimentary 226Ra parent
Concentrations of unsupported 210Pb in sediments ndash can give estimate of sediment accretion rates
Fig 107 in PilsonFig 107 in Pilson
Linear slope (a) of the semi-log plot gives the sediment accretion rate If slope not linear ndash steady state sedimentation model does not apply
Log
sca
le
(Bioturbated)
Supported 230 Th activity (from 234U decay)
Excess
This figure focuses on the longer lived nuclide 230Th (t12 = 75200 y) Its chemistry (ie particle reactivity) is the same as 234Th but its decay is too slow to be useful for particle scavenging rates in the surface waters It is however useful for sediment accretion rates in the deep ocean where accretion rates are relatively slow
137Cs
Peak emissions of man-made 137Cs (t12 = ~30 y) into the atmosphere occurred in 1963
This particle reactive nuclide is scavenged to sediments where profiles reflect time inputs Depth above 137Cs peak has accreted since 1963
Core taken
in 1986
~10 cm per 23 y
Use of nuclides as event markers
Wetland sedimentsDeLaune et al 1989
137Cs first appeared in atmosphere in ~1953
Picocuries per section
Natural 14C- a cosmogenic nuclide
bull Produced in the upper atmosphere by spallation of 14N
bull Becomes 14CO2 in atmosphere
bull Dissolves in ocean and taken up by plants
bull Diluted by fossil fuel burning of low 14C carbon (Suess effect)
Man-made 14C
Produced from weapons testing ndash peak production in 1960rsquos
Increased atmospheric 14C by over 2x ndash slowly taken up by ocean
(Illustration by Jayne Doucette Woods Hole Oceanographic Institution)httpwwwwhoiedunosamspagedopid=40138
Applications of 14C datingMuch progress with introduction of accelerator mass spectrometer analysis ndash 14C content of micro- to milligram quantities of carbon can be determined
bull Invasion of atmospheric CO2 into ocean can be observed
bull DIC of ocean water can be aged ndash giving estimate of deep residence time
bull POC and DOC in seawater have been aged ndash DOC found to be old
bull Bacteria in surface ocean use a mixture of old and new carbon 14C-content of natural materials (mg quantities) can be measured at the
National Ocean Sciences Accelerator Mass Spectrometry (NOSAMS)Facility at Woods Hole - httpwwwwhoiedunosams
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
Secular equilibrium (daughter-parent relationships)
For a parent nuclide (P) with a long half life relative to its daughter nuclide (D) the activity of the Parent is given by
dPdt = P[P] and this is the production rate of the Daughter (since daughter is short lived its existence depends on its production from parent)
The rate of change of the Daughter nuclide is determined by its production and loss
dDdt = P[P] - D[D]
rate of change = Production - Loss (by radioactive decay)
At steady state
dDdt = 0 = P[P] - D[D]
P[P] = D[D] or Ap = AD or AD AP = 1
Thus for nuclides with short-lived daughters and long lived parents one predicts that the daughterparent activity ratio ( AD AP) = 1 This situation is termed secular equilibrium For a system starting out with parent nuclide but no daughter AD will grow into the system In other words it takes time to reach secular equilibrium
Act
ivit
y Parent activity
Total activity(parent+daughter)
Time
It takes about 6-8 daughter half-lives to reach secular equilibrium
Parent activity is constant with time since very few atoms decay (because of long half life)
In-growth of daughter activity
Daughter activity becomes constant with time because Production = Loss
The activity of the daughter is supported by the parent
0
1
2
Emerson amp Hedges Chap 5Emerson amp Hedges Chap 5
Changing the decay constant for daughter will change ND but not λND (if λ goes up ND goes
down and vice versa)
The rate of flow into the daughter tank λNP is equal to the flow out λND
Deviations from secular equilibrium
If all nuclides were in secular equilibrium we couldnrsquot learn anything from them
The deviations from equilibrium are the basis for using the nuclides as tracers and chronometers
234Th activity in the water column is often less than its parent 238U because of scavenging which removes the daughter
Any process that adds or removes daughter nuclide will cause deviations from secular equilibrium
The deviations from secular equilibrium can be used to estimate the scavenging rate constant (particle removal rate constant) in the ocean water column (see steady state box model calculations as used in Coale and Bruland 1987 LampO 32 189)
The ldquokrdquo here would be the scavenging rate constant (the fraction of particles exported from the surface ocean to depth per unit time Something very useful to know
d[D]dt = P[P] - D[D] + k[D]
Production of daughter Loss of daughter
Loss by rad decay
Other first order loss (eg scavenging)
y axis
x axis
Which nuclide to use
Must use a nuclide with a half-life close to the rate of the process of interest
Nuclides with short half lifes can only be used to study fast processes
Long-lived nuclides cannot be used to study fast processes (too few decays over short time) and only are useful for slow processes
This matching of decay rate to process rate applies to radio-dating (aging) as well
234Th (t12 = 24 d) is useful for water column particle scavenging rates
coastal oceanic
Expected
Shaded area is deficit of 234Th due to scavening
Coale amp Bruland LampO 1987 ndash Application of Coale amp Bruland LampO 1987 ndash Application of 234234Th scavengingTh scavenging
Mixed layerpycnocline
Euphotic
bull Maximum scavenging near pigment maximum
bull Less scavenging in upper mixed layer (due to efficient recycling of particles amp biomass)
234234Th is particle reactive so most is rapidly adsorbed to Th is particle reactive so most is rapidly adsorbed to particles If particles sink quickly then have deficit of particles If particles sink quickly then have deficit of 234234Th Th
Moran et al 2003 Limnol Oceanogr 48 1018
234Th-derived
Radio-dating of materials with nuclides
Useful for determining the age of a particular piece of matter (organism fossil rock etc)
By obtaining an age for a piece of an accreting deposit (eg sediment coral skeleton clam shell Mn-nodule) at some depth into the deposit the accretion rates of deposit can be determined (assuming steady deposition)
If you can put an age on the sediment in this layer you therefore know how long it took to build up the sediment above it From the depth of the layer and its age (t) you can determine the sediment accretion rate (zt)
Depth z
Sediment core
How to determine ages in deposits
Use unsupported nuclide activities
If deposits are laid down with unsupported daughter activity and no additional inputs (other than supported activity) occur within the deposit then the unsupported (excess) activity will decay with time (=depth) into the deposit Sediment is a good example
20
0
Dep
th (
cm)
AD-excess (unsupported daughter)
Exponential Exponential decay of decay of excess excess activity with activity with depthdepth
The sedimentation or accretion rate is given by
s= zt Thus
t = zs or
t = zs
Substitute zs for t in decay law
Sediment-water interface
ADz = ADo e-λ(zs)
Where ADz is the unsupported activity at depth z and ADo is the unsupported activity at the surface of the deposit This can be rearranged to
ADzADo = e-λ(zs)
And linearized as
ln(ADz) ndash ln(ADo) = -λ(zs) which is the same as
ln(ADz) = ln(ADo) - λ(zs) and the same as
ln(ADz) = ln(ADo) ndash (λs) zX-coordinateslopeY-intercept
210Pb is derived from decay of gaseous 222Rn (t12 = 38 days) which originates in rocks on land but goes into the atmosphere where it is carried over water
210Pb produced in the atmosphere is rapidly rained out and it attaches to particles in the water which sink to the sediments
210Pb (t12 = 223 y) is often used to estimate sediment accretion rates in coastal areas where sedimentation is high
This leads to unsupported 210Pb activity at the surface of the sediment (activity ratio of 210Pb(daughter)226Ra(parent)
gt 1) This is also referred to as excess activity because it is in excess of what is supported by the secular equilibrium of the sedimentary 226Ra parent
Concentrations of unsupported 210Pb in sediments ndash can give estimate of sediment accretion rates
Fig 107 in PilsonFig 107 in Pilson
Linear slope (a) of the semi-log plot gives the sediment accretion rate If slope not linear ndash steady state sedimentation model does not apply
Log
sca
le
(Bioturbated)
Supported 230 Th activity (from 234U decay)
Excess
This figure focuses on the longer lived nuclide 230Th (t12 = 75200 y) Its chemistry (ie particle reactivity) is the same as 234Th but its decay is too slow to be useful for particle scavenging rates in the surface waters It is however useful for sediment accretion rates in the deep ocean where accretion rates are relatively slow
137Cs
Peak emissions of man-made 137Cs (t12 = ~30 y) into the atmosphere occurred in 1963
This particle reactive nuclide is scavenged to sediments where profiles reflect time inputs Depth above 137Cs peak has accreted since 1963
Core taken
in 1986
~10 cm per 23 y
Use of nuclides as event markers
Wetland sedimentsDeLaune et al 1989
137Cs first appeared in atmosphere in ~1953
Picocuries per section
Natural 14C- a cosmogenic nuclide
bull Produced in the upper atmosphere by spallation of 14N
bull Becomes 14CO2 in atmosphere
bull Dissolves in ocean and taken up by plants
bull Diluted by fossil fuel burning of low 14C carbon (Suess effect)
Man-made 14C
Produced from weapons testing ndash peak production in 1960rsquos
Increased atmospheric 14C by over 2x ndash slowly taken up by ocean
(Illustration by Jayne Doucette Woods Hole Oceanographic Institution)httpwwwwhoiedunosamspagedopid=40138
Applications of 14C datingMuch progress with introduction of accelerator mass spectrometer analysis ndash 14C content of micro- to milligram quantities of carbon can be determined
bull Invasion of atmospheric CO2 into ocean can be observed
bull DIC of ocean water can be aged ndash giving estimate of deep residence time
bull POC and DOC in seawater have been aged ndash DOC found to be old
bull Bacteria in surface ocean use a mixture of old and new carbon 14C-content of natural materials (mg quantities) can be measured at the
National Ocean Sciences Accelerator Mass Spectrometry (NOSAMS)Facility at Woods Hole - httpwwwwhoiedunosams
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
Thus for nuclides with short-lived daughters and long lived parents one predicts that the daughterparent activity ratio ( AD AP) = 1 This situation is termed secular equilibrium For a system starting out with parent nuclide but no daughter AD will grow into the system In other words it takes time to reach secular equilibrium
Act
ivit
y Parent activity
Total activity(parent+daughter)
Time
It takes about 6-8 daughter half-lives to reach secular equilibrium
Parent activity is constant with time since very few atoms decay (because of long half life)
In-growth of daughter activity
Daughter activity becomes constant with time because Production = Loss
The activity of the daughter is supported by the parent
0
1
2
Emerson amp Hedges Chap 5Emerson amp Hedges Chap 5
Changing the decay constant for daughter will change ND but not λND (if λ goes up ND goes
down and vice versa)
The rate of flow into the daughter tank λNP is equal to the flow out λND
Deviations from secular equilibrium
If all nuclides were in secular equilibrium we couldnrsquot learn anything from them
The deviations from equilibrium are the basis for using the nuclides as tracers and chronometers
234Th activity in the water column is often less than its parent 238U because of scavenging which removes the daughter
Any process that adds or removes daughter nuclide will cause deviations from secular equilibrium
The deviations from secular equilibrium can be used to estimate the scavenging rate constant (particle removal rate constant) in the ocean water column (see steady state box model calculations as used in Coale and Bruland 1987 LampO 32 189)
The ldquokrdquo here would be the scavenging rate constant (the fraction of particles exported from the surface ocean to depth per unit time Something very useful to know
d[D]dt = P[P] - D[D] + k[D]
Production of daughter Loss of daughter
Loss by rad decay
Other first order loss (eg scavenging)
y axis
x axis
Which nuclide to use
Must use a nuclide with a half-life close to the rate of the process of interest
Nuclides with short half lifes can only be used to study fast processes
Long-lived nuclides cannot be used to study fast processes (too few decays over short time) and only are useful for slow processes
This matching of decay rate to process rate applies to radio-dating (aging) as well
234Th (t12 = 24 d) is useful for water column particle scavenging rates
coastal oceanic
Expected
Shaded area is deficit of 234Th due to scavening
Coale amp Bruland LampO 1987 ndash Application of Coale amp Bruland LampO 1987 ndash Application of 234234Th scavengingTh scavenging
Mixed layerpycnocline
Euphotic
bull Maximum scavenging near pigment maximum
bull Less scavenging in upper mixed layer (due to efficient recycling of particles amp biomass)
234234Th is particle reactive so most is rapidly adsorbed to Th is particle reactive so most is rapidly adsorbed to particles If particles sink quickly then have deficit of particles If particles sink quickly then have deficit of 234234Th Th
Moran et al 2003 Limnol Oceanogr 48 1018
234Th-derived
Radio-dating of materials with nuclides
Useful for determining the age of a particular piece of matter (organism fossil rock etc)
By obtaining an age for a piece of an accreting deposit (eg sediment coral skeleton clam shell Mn-nodule) at some depth into the deposit the accretion rates of deposit can be determined (assuming steady deposition)
If you can put an age on the sediment in this layer you therefore know how long it took to build up the sediment above it From the depth of the layer and its age (t) you can determine the sediment accretion rate (zt)
Depth z
Sediment core
How to determine ages in deposits
Use unsupported nuclide activities
If deposits are laid down with unsupported daughter activity and no additional inputs (other than supported activity) occur within the deposit then the unsupported (excess) activity will decay with time (=depth) into the deposit Sediment is a good example
20
0
Dep
th (
cm)
AD-excess (unsupported daughter)
Exponential Exponential decay of decay of excess excess activity with activity with depthdepth
The sedimentation or accretion rate is given by
s= zt Thus
t = zs or
t = zs
Substitute zs for t in decay law
Sediment-water interface
ADz = ADo e-λ(zs)
Where ADz is the unsupported activity at depth z and ADo is the unsupported activity at the surface of the deposit This can be rearranged to
ADzADo = e-λ(zs)
And linearized as
ln(ADz) ndash ln(ADo) = -λ(zs) which is the same as
ln(ADz) = ln(ADo) - λ(zs) and the same as
ln(ADz) = ln(ADo) ndash (λs) zX-coordinateslopeY-intercept
210Pb is derived from decay of gaseous 222Rn (t12 = 38 days) which originates in rocks on land but goes into the atmosphere where it is carried over water
210Pb produced in the atmosphere is rapidly rained out and it attaches to particles in the water which sink to the sediments
210Pb (t12 = 223 y) is often used to estimate sediment accretion rates in coastal areas where sedimentation is high
This leads to unsupported 210Pb activity at the surface of the sediment (activity ratio of 210Pb(daughter)226Ra(parent)
gt 1) This is also referred to as excess activity because it is in excess of what is supported by the secular equilibrium of the sedimentary 226Ra parent
Concentrations of unsupported 210Pb in sediments ndash can give estimate of sediment accretion rates
Fig 107 in PilsonFig 107 in Pilson
Linear slope (a) of the semi-log plot gives the sediment accretion rate If slope not linear ndash steady state sedimentation model does not apply
Log
sca
le
(Bioturbated)
Supported 230 Th activity (from 234U decay)
Excess
This figure focuses on the longer lived nuclide 230Th (t12 = 75200 y) Its chemistry (ie particle reactivity) is the same as 234Th but its decay is too slow to be useful for particle scavenging rates in the surface waters It is however useful for sediment accretion rates in the deep ocean where accretion rates are relatively slow
137Cs
Peak emissions of man-made 137Cs (t12 = ~30 y) into the atmosphere occurred in 1963
This particle reactive nuclide is scavenged to sediments where profiles reflect time inputs Depth above 137Cs peak has accreted since 1963
Core taken
in 1986
~10 cm per 23 y
Use of nuclides as event markers
Wetland sedimentsDeLaune et al 1989
137Cs first appeared in atmosphere in ~1953
Picocuries per section
Natural 14C- a cosmogenic nuclide
bull Produced in the upper atmosphere by spallation of 14N
bull Becomes 14CO2 in atmosphere
bull Dissolves in ocean and taken up by plants
bull Diluted by fossil fuel burning of low 14C carbon (Suess effect)
Man-made 14C
Produced from weapons testing ndash peak production in 1960rsquos
Increased atmospheric 14C by over 2x ndash slowly taken up by ocean
(Illustration by Jayne Doucette Woods Hole Oceanographic Institution)httpwwwwhoiedunosamspagedopid=40138
Applications of 14C datingMuch progress with introduction of accelerator mass spectrometer analysis ndash 14C content of micro- to milligram quantities of carbon can be determined
bull Invasion of atmospheric CO2 into ocean can be observed
bull DIC of ocean water can be aged ndash giving estimate of deep residence time
bull POC and DOC in seawater have been aged ndash DOC found to be old
bull Bacteria in surface ocean use a mixture of old and new carbon 14C-content of natural materials (mg quantities) can be measured at the
National Ocean Sciences Accelerator Mass Spectrometry (NOSAMS)Facility at Woods Hole - httpwwwwhoiedunosams
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
Emerson amp Hedges Chap 5Emerson amp Hedges Chap 5
Changing the decay constant for daughter will change ND but not λND (if λ goes up ND goes
down and vice versa)
The rate of flow into the daughter tank λNP is equal to the flow out λND
Deviations from secular equilibrium
If all nuclides were in secular equilibrium we couldnrsquot learn anything from them
The deviations from equilibrium are the basis for using the nuclides as tracers and chronometers
234Th activity in the water column is often less than its parent 238U because of scavenging which removes the daughter
Any process that adds or removes daughter nuclide will cause deviations from secular equilibrium
The deviations from secular equilibrium can be used to estimate the scavenging rate constant (particle removal rate constant) in the ocean water column (see steady state box model calculations as used in Coale and Bruland 1987 LampO 32 189)
The ldquokrdquo here would be the scavenging rate constant (the fraction of particles exported from the surface ocean to depth per unit time Something very useful to know
d[D]dt = P[P] - D[D] + k[D]
Production of daughter Loss of daughter
Loss by rad decay
Other first order loss (eg scavenging)
y axis
x axis
Which nuclide to use
Must use a nuclide with a half-life close to the rate of the process of interest
Nuclides with short half lifes can only be used to study fast processes
Long-lived nuclides cannot be used to study fast processes (too few decays over short time) and only are useful for slow processes
This matching of decay rate to process rate applies to radio-dating (aging) as well
234Th (t12 = 24 d) is useful for water column particle scavenging rates
coastal oceanic
Expected
Shaded area is deficit of 234Th due to scavening
Coale amp Bruland LampO 1987 ndash Application of Coale amp Bruland LampO 1987 ndash Application of 234234Th scavengingTh scavenging
Mixed layerpycnocline
Euphotic
bull Maximum scavenging near pigment maximum
bull Less scavenging in upper mixed layer (due to efficient recycling of particles amp biomass)
234234Th is particle reactive so most is rapidly adsorbed to Th is particle reactive so most is rapidly adsorbed to particles If particles sink quickly then have deficit of particles If particles sink quickly then have deficit of 234234Th Th
Moran et al 2003 Limnol Oceanogr 48 1018
234Th-derived
Radio-dating of materials with nuclides
Useful for determining the age of a particular piece of matter (organism fossil rock etc)
By obtaining an age for a piece of an accreting deposit (eg sediment coral skeleton clam shell Mn-nodule) at some depth into the deposit the accretion rates of deposit can be determined (assuming steady deposition)
If you can put an age on the sediment in this layer you therefore know how long it took to build up the sediment above it From the depth of the layer and its age (t) you can determine the sediment accretion rate (zt)
Depth z
Sediment core
How to determine ages in deposits
Use unsupported nuclide activities
If deposits are laid down with unsupported daughter activity and no additional inputs (other than supported activity) occur within the deposit then the unsupported (excess) activity will decay with time (=depth) into the deposit Sediment is a good example
20
0
Dep
th (
cm)
AD-excess (unsupported daughter)
Exponential Exponential decay of decay of excess excess activity with activity with depthdepth
The sedimentation or accretion rate is given by
s= zt Thus
t = zs or
t = zs
Substitute zs for t in decay law
Sediment-water interface
ADz = ADo e-λ(zs)
Where ADz is the unsupported activity at depth z and ADo is the unsupported activity at the surface of the deposit This can be rearranged to
ADzADo = e-λ(zs)
And linearized as
ln(ADz) ndash ln(ADo) = -λ(zs) which is the same as
ln(ADz) = ln(ADo) - λ(zs) and the same as
ln(ADz) = ln(ADo) ndash (λs) zX-coordinateslopeY-intercept
210Pb is derived from decay of gaseous 222Rn (t12 = 38 days) which originates in rocks on land but goes into the atmosphere where it is carried over water
210Pb produced in the atmosphere is rapidly rained out and it attaches to particles in the water which sink to the sediments
210Pb (t12 = 223 y) is often used to estimate sediment accretion rates in coastal areas where sedimentation is high
This leads to unsupported 210Pb activity at the surface of the sediment (activity ratio of 210Pb(daughter)226Ra(parent)
gt 1) This is also referred to as excess activity because it is in excess of what is supported by the secular equilibrium of the sedimentary 226Ra parent
Concentrations of unsupported 210Pb in sediments ndash can give estimate of sediment accretion rates
Fig 107 in PilsonFig 107 in Pilson
Linear slope (a) of the semi-log plot gives the sediment accretion rate If slope not linear ndash steady state sedimentation model does not apply
Log
sca
le
(Bioturbated)
Supported 230 Th activity (from 234U decay)
Excess
This figure focuses on the longer lived nuclide 230Th (t12 = 75200 y) Its chemistry (ie particle reactivity) is the same as 234Th but its decay is too slow to be useful for particle scavenging rates in the surface waters It is however useful for sediment accretion rates in the deep ocean where accretion rates are relatively slow
137Cs
Peak emissions of man-made 137Cs (t12 = ~30 y) into the atmosphere occurred in 1963
This particle reactive nuclide is scavenged to sediments where profiles reflect time inputs Depth above 137Cs peak has accreted since 1963
Core taken
in 1986
~10 cm per 23 y
Use of nuclides as event markers
Wetland sedimentsDeLaune et al 1989
137Cs first appeared in atmosphere in ~1953
Picocuries per section
Natural 14C- a cosmogenic nuclide
bull Produced in the upper atmosphere by spallation of 14N
bull Becomes 14CO2 in atmosphere
bull Dissolves in ocean and taken up by plants
bull Diluted by fossil fuel burning of low 14C carbon (Suess effect)
Man-made 14C
Produced from weapons testing ndash peak production in 1960rsquos
Increased atmospheric 14C by over 2x ndash slowly taken up by ocean
(Illustration by Jayne Doucette Woods Hole Oceanographic Institution)httpwwwwhoiedunosamspagedopid=40138
Applications of 14C datingMuch progress with introduction of accelerator mass spectrometer analysis ndash 14C content of micro- to milligram quantities of carbon can be determined
bull Invasion of atmospheric CO2 into ocean can be observed
bull DIC of ocean water can be aged ndash giving estimate of deep residence time
bull POC and DOC in seawater have been aged ndash DOC found to be old
bull Bacteria in surface ocean use a mixture of old and new carbon 14C-content of natural materials (mg quantities) can be measured at the
National Ocean Sciences Accelerator Mass Spectrometry (NOSAMS)Facility at Woods Hole - httpwwwwhoiedunosams
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
Deviations from secular equilibrium
If all nuclides were in secular equilibrium we couldnrsquot learn anything from them
The deviations from equilibrium are the basis for using the nuclides as tracers and chronometers
234Th activity in the water column is often less than its parent 238U because of scavenging which removes the daughter
Any process that adds or removes daughter nuclide will cause deviations from secular equilibrium
The deviations from secular equilibrium can be used to estimate the scavenging rate constant (particle removal rate constant) in the ocean water column (see steady state box model calculations as used in Coale and Bruland 1987 LampO 32 189)
The ldquokrdquo here would be the scavenging rate constant (the fraction of particles exported from the surface ocean to depth per unit time Something very useful to know
d[D]dt = P[P] - D[D] + k[D]
Production of daughter Loss of daughter
Loss by rad decay
Other first order loss (eg scavenging)
y axis
x axis
Which nuclide to use
Must use a nuclide with a half-life close to the rate of the process of interest
Nuclides with short half lifes can only be used to study fast processes
Long-lived nuclides cannot be used to study fast processes (too few decays over short time) and only are useful for slow processes
This matching of decay rate to process rate applies to radio-dating (aging) as well
234Th (t12 = 24 d) is useful for water column particle scavenging rates
coastal oceanic
Expected
Shaded area is deficit of 234Th due to scavening
Coale amp Bruland LampO 1987 ndash Application of Coale amp Bruland LampO 1987 ndash Application of 234234Th scavengingTh scavenging
Mixed layerpycnocline
Euphotic
bull Maximum scavenging near pigment maximum
bull Less scavenging in upper mixed layer (due to efficient recycling of particles amp biomass)
234234Th is particle reactive so most is rapidly adsorbed to Th is particle reactive so most is rapidly adsorbed to particles If particles sink quickly then have deficit of particles If particles sink quickly then have deficit of 234234Th Th
Moran et al 2003 Limnol Oceanogr 48 1018
234Th-derived
Radio-dating of materials with nuclides
Useful for determining the age of a particular piece of matter (organism fossil rock etc)
By obtaining an age for a piece of an accreting deposit (eg sediment coral skeleton clam shell Mn-nodule) at some depth into the deposit the accretion rates of deposit can be determined (assuming steady deposition)
If you can put an age on the sediment in this layer you therefore know how long it took to build up the sediment above it From the depth of the layer and its age (t) you can determine the sediment accretion rate (zt)
Depth z
Sediment core
How to determine ages in deposits
Use unsupported nuclide activities
If deposits are laid down with unsupported daughter activity and no additional inputs (other than supported activity) occur within the deposit then the unsupported (excess) activity will decay with time (=depth) into the deposit Sediment is a good example
20
0
Dep
th (
cm)
AD-excess (unsupported daughter)
Exponential Exponential decay of decay of excess excess activity with activity with depthdepth
The sedimentation or accretion rate is given by
s= zt Thus
t = zs or
t = zs
Substitute zs for t in decay law
Sediment-water interface
ADz = ADo e-λ(zs)
Where ADz is the unsupported activity at depth z and ADo is the unsupported activity at the surface of the deposit This can be rearranged to
ADzADo = e-λ(zs)
And linearized as
ln(ADz) ndash ln(ADo) = -λ(zs) which is the same as
ln(ADz) = ln(ADo) - λ(zs) and the same as
ln(ADz) = ln(ADo) ndash (λs) zX-coordinateslopeY-intercept
210Pb is derived from decay of gaseous 222Rn (t12 = 38 days) which originates in rocks on land but goes into the atmosphere where it is carried over water
210Pb produced in the atmosphere is rapidly rained out and it attaches to particles in the water which sink to the sediments
210Pb (t12 = 223 y) is often used to estimate sediment accretion rates in coastal areas where sedimentation is high
This leads to unsupported 210Pb activity at the surface of the sediment (activity ratio of 210Pb(daughter)226Ra(parent)
gt 1) This is also referred to as excess activity because it is in excess of what is supported by the secular equilibrium of the sedimentary 226Ra parent
Concentrations of unsupported 210Pb in sediments ndash can give estimate of sediment accretion rates
Fig 107 in PilsonFig 107 in Pilson
Linear slope (a) of the semi-log plot gives the sediment accretion rate If slope not linear ndash steady state sedimentation model does not apply
Log
sca
le
(Bioturbated)
Supported 230 Th activity (from 234U decay)
Excess
This figure focuses on the longer lived nuclide 230Th (t12 = 75200 y) Its chemistry (ie particle reactivity) is the same as 234Th but its decay is too slow to be useful for particle scavenging rates in the surface waters It is however useful for sediment accretion rates in the deep ocean where accretion rates are relatively slow
137Cs
Peak emissions of man-made 137Cs (t12 = ~30 y) into the atmosphere occurred in 1963
This particle reactive nuclide is scavenged to sediments where profiles reflect time inputs Depth above 137Cs peak has accreted since 1963
Core taken
in 1986
~10 cm per 23 y
Use of nuclides as event markers
Wetland sedimentsDeLaune et al 1989
137Cs first appeared in atmosphere in ~1953
Picocuries per section
Natural 14C- a cosmogenic nuclide
bull Produced in the upper atmosphere by spallation of 14N
bull Becomes 14CO2 in atmosphere
bull Dissolves in ocean and taken up by plants
bull Diluted by fossil fuel burning of low 14C carbon (Suess effect)
Man-made 14C
Produced from weapons testing ndash peak production in 1960rsquos
Increased atmospheric 14C by over 2x ndash slowly taken up by ocean
(Illustration by Jayne Doucette Woods Hole Oceanographic Institution)httpwwwwhoiedunosamspagedopid=40138
Applications of 14C datingMuch progress with introduction of accelerator mass spectrometer analysis ndash 14C content of micro- to milligram quantities of carbon can be determined
bull Invasion of atmospheric CO2 into ocean can be observed
bull DIC of ocean water can be aged ndash giving estimate of deep residence time
bull POC and DOC in seawater have been aged ndash DOC found to be old
bull Bacteria in surface ocean use a mixture of old and new carbon 14C-content of natural materials (mg quantities) can be measured at the
National Ocean Sciences Accelerator Mass Spectrometry (NOSAMS)Facility at Woods Hole - httpwwwwhoiedunosams
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
Any process that adds or removes daughter nuclide will cause deviations from secular equilibrium
The deviations from secular equilibrium can be used to estimate the scavenging rate constant (particle removal rate constant) in the ocean water column (see steady state box model calculations as used in Coale and Bruland 1987 LampO 32 189)
The ldquokrdquo here would be the scavenging rate constant (the fraction of particles exported from the surface ocean to depth per unit time Something very useful to know
d[D]dt = P[P] - D[D] + k[D]
Production of daughter Loss of daughter
Loss by rad decay
Other first order loss (eg scavenging)
y axis
x axis
Which nuclide to use
Must use a nuclide with a half-life close to the rate of the process of interest
Nuclides with short half lifes can only be used to study fast processes
Long-lived nuclides cannot be used to study fast processes (too few decays over short time) and only are useful for slow processes
This matching of decay rate to process rate applies to radio-dating (aging) as well
234Th (t12 = 24 d) is useful for water column particle scavenging rates
coastal oceanic
Expected
Shaded area is deficit of 234Th due to scavening
Coale amp Bruland LampO 1987 ndash Application of Coale amp Bruland LampO 1987 ndash Application of 234234Th scavengingTh scavenging
Mixed layerpycnocline
Euphotic
bull Maximum scavenging near pigment maximum
bull Less scavenging in upper mixed layer (due to efficient recycling of particles amp biomass)
234234Th is particle reactive so most is rapidly adsorbed to Th is particle reactive so most is rapidly adsorbed to particles If particles sink quickly then have deficit of particles If particles sink quickly then have deficit of 234234Th Th
Moran et al 2003 Limnol Oceanogr 48 1018
234Th-derived
Radio-dating of materials with nuclides
Useful for determining the age of a particular piece of matter (organism fossil rock etc)
By obtaining an age for a piece of an accreting deposit (eg sediment coral skeleton clam shell Mn-nodule) at some depth into the deposit the accretion rates of deposit can be determined (assuming steady deposition)
If you can put an age on the sediment in this layer you therefore know how long it took to build up the sediment above it From the depth of the layer and its age (t) you can determine the sediment accretion rate (zt)
Depth z
Sediment core
How to determine ages in deposits
Use unsupported nuclide activities
If deposits are laid down with unsupported daughter activity and no additional inputs (other than supported activity) occur within the deposit then the unsupported (excess) activity will decay with time (=depth) into the deposit Sediment is a good example
20
0
Dep
th (
cm)
AD-excess (unsupported daughter)
Exponential Exponential decay of decay of excess excess activity with activity with depthdepth
The sedimentation or accretion rate is given by
s= zt Thus
t = zs or
t = zs
Substitute zs for t in decay law
Sediment-water interface
ADz = ADo e-λ(zs)
Where ADz is the unsupported activity at depth z and ADo is the unsupported activity at the surface of the deposit This can be rearranged to
ADzADo = e-λ(zs)
And linearized as
ln(ADz) ndash ln(ADo) = -λ(zs) which is the same as
ln(ADz) = ln(ADo) - λ(zs) and the same as
ln(ADz) = ln(ADo) ndash (λs) zX-coordinateslopeY-intercept
210Pb is derived from decay of gaseous 222Rn (t12 = 38 days) which originates in rocks on land but goes into the atmosphere where it is carried over water
210Pb produced in the atmosphere is rapidly rained out and it attaches to particles in the water which sink to the sediments
210Pb (t12 = 223 y) is often used to estimate sediment accretion rates in coastal areas where sedimentation is high
This leads to unsupported 210Pb activity at the surface of the sediment (activity ratio of 210Pb(daughter)226Ra(parent)
gt 1) This is also referred to as excess activity because it is in excess of what is supported by the secular equilibrium of the sedimentary 226Ra parent
Concentrations of unsupported 210Pb in sediments ndash can give estimate of sediment accretion rates
Fig 107 in PilsonFig 107 in Pilson
Linear slope (a) of the semi-log plot gives the sediment accretion rate If slope not linear ndash steady state sedimentation model does not apply
Log
sca
le
(Bioturbated)
Supported 230 Th activity (from 234U decay)
Excess
This figure focuses on the longer lived nuclide 230Th (t12 = 75200 y) Its chemistry (ie particle reactivity) is the same as 234Th but its decay is too slow to be useful for particle scavenging rates in the surface waters It is however useful for sediment accretion rates in the deep ocean where accretion rates are relatively slow
137Cs
Peak emissions of man-made 137Cs (t12 = ~30 y) into the atmosphere occurred in 1963
This particle reactive nuclide is scavenged to sediments where profiles reflect time inputs Depth above 137Cs peak has accreted since 1963
Core taken
in 1986
~10 cm per 23 y
Use of nuclides as event markers
Wetland sedimentsDeLaune et al 1989
137Cs first appeared in atmosphere in ~1953
Picocuries per section
Natural 14C- a cosmogenic nuclide
bull Produced in the upper atmosphere by spallation of 14N
bull Becomes 14CO2 in atmosphere
bull Dissolves in ocean and taken up by plants
bull Diluted by fossil fuel burning of low 14C carbon (Suess effect)
Man-made 14C
Produced from weapons testing ndash peak production in 1960rsquos
Increased atmospheric 14C by over 2x ndash slowly taken up by ocean
(Illustration by Jayne Doucette Woods Hole Oceanographic Institution)httpwwwwhoiedunosamspagedopid=40138
Applications of 14C datingMuch progress with introduction of accelerator mass spectrometer analysis ndash 14C content of micro- to milligram quantities of carbon can be determined
bull Invasion of atmospheric CO2 into ocean can be observed
bull DIC of ocean water can be aged ndash giving estimate of deep residence time
bull POC and DOC in seawater have been aged ndash DOC found to be old
bull Bacteria in surface ocean use a mixture of old and new carbon 14C-content of natural materials (mg quantities) can be measured at the
National Ocean Sciences Accelerator Mass Spectrometry (NOSAMS)Facility at Woods Hole - httpwwwwhoiedunosams
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
y axis
x axis
Which nuclide to use
Must use a nuclide with a half-life close to the rate of the process of interest
Nuclides with short half lifes can only be used to study fast processes
Long-lived nuclides cannot be used to study fast processes (too few decays over short time) and only are useful for slow processes
This matching of decay rate to process rate applies to radio-dating (aging) as well
234Th (t12 = 24 d) is useful for water column particle scavenging rates
coastal oceanic
Expected
Shaded area is deficit of 234Th due to scavening
Coale amp Bruland LampO 1987 ndash Application of Coale amp Bruland LampO 1987 ndash Application of 234234Th scavengingTh scavenging
Mixed layerpycnocline
Euphotic
bull Maximum scavenging near pigment maximum
bull Less scavenging in upper mixed layer (due to efficient recycling of particles amp biomass)
234234Th is particle reactive so most is rapidly adsorbed to Th is particle reactive so most is rapidly adsorbed to particles If particles sink quickly then have deficit of particles If particles sink quickly then have deficit of 234234Th Th
Moran et al 2003 Limnol Oceanogr 48 1018
234Th-derived
Radio-dating of materials with nuclides
Useful for determining the age of a particular piece of matter (organism fossil rock etc)
By obtaining an age for a piece of an accreting deposit (eg sediment coral skeleton clam shell Mn-nodule) at some depth into the deposit the accretion rates of deposit can be determined (assuming steady deposition)
If you can put an age on the sediment in this layer you therefore know how long it took to build up the sediment above it From the depth of the layer and its age (t) you can determine the sediment accretion rate (zt)
Depth z
Sediment core
How to determine ages in deposits
Use unsupported nuclide activities
If deposits are laid down with unsupported daughter activity and no additional inputs (other than supported activity) occur within the deposit then the unsupported (excess) activity will decay with time (=depth) into the deposit Sediment is a good example
20
0
Dep
th (
cm)
AD-excess (unsupported daughter)
Exponential Exponential decay of decay of excess excess activity with activity with depthdepth
The sedimentation or accretion rate is given by
s= zt Thus
t = zs or
t = zs
Substitute zs for t in decay law
Sediment-water interface
ADz = ADo e-λ(zs)
Where ADz is the unsupported activity at depth z and ADo is the unsupported activity at the surface of the deposit This can be rearranged to
ADzADo = e-λ(zs)
And linearized as
ln(ADz) ndash ln(ADo) = -λ(zs) which is the same as
ln(ADz) = ln(ADo) - λ(zs) and the same as
ln(ADz) = ln(ADo) ndash (λs) zX-coordinateslopeY-intercept
210Pb is derived from decay of gaseous 222Rn (t12 = 38 days) which originates in rocks on land but goes into the atmosphere where it is carried over water
210Pb produced in the atmosphere is rapidly rained out and it attaches to particles in the water which sink to the sediments
210Pb (t12 = 223 y) is often used to estimate sediment accretion rates in coastal areas where sedimentation is high
This leads to unsupported 210Pb activity at the surface of the sediment (activity ratio of 210Pb(daughter)226Ra(parent)
gt 1) This is also referred to as excess activity because it is in excess of what is supported by the secular equilibrium of the sedimentary 226Ra parent
Concentrations of unsupported 210Pb in sediments ndash can give estimate of sediment accretion rates
Fig 107 in PilsonFig 107 in Pilson
Linear slope (a) of the semi-log plot gives the sediment accretion rate If slope not linear ndash steady state sedimentation model does not apply
Log
sca
le
(Bioturbated)
Supported 230 Th activity (from 234U decay)
Excess
This figure focuses on the longer lived nuclide 230Th (t12 = 75200 y) Its chemistry (ie particle reactivity) is the same as 234Th but its decay is too slow to be useful for particle scavenging rates in the surface waters It is however useful for sediment accretion rates in the deep ocean where accretion rates are relatively slow
137Cs
Peak emissions of man-made 137Cs (t12 = ~30 y) into the atmosphere occurred in 1963
This particle reactive nuclide is scavenged to sediments where profiles reflect time inputs Depth above 137Cs peak has accreted since 1963
Core taken
in 1986
~10 cm per 23 y
Use of nuclides as event markers
Wetland sedimentsDeLaune et al 1989
137Cs first appeared in atmosphere in ~1953
Picocuries per section
Natural 14C- a cosmogenic nuclide
bull Produced in the upper atmosphere by spallation of 14N
bull Becomes 14CO2 in atmosphere
bull Dissolves in ocean and taken up by plants
bull Diluted by fossil fuel burning of low 14C carbon (Suess effect)
Man-made 14C
Produced from weapons testing ndash peak production in 1960rsquos
Increased atmospheric 14C by over 2x ndash slowly taken up by ocean
(Illustration by Jayne Doucette Woods Hole Oceanographic Institution)httpwwwwhoiedunosamspagedopid=40138
Applications of 14C datingMuch progress with introduction of accelerator mass spectrometer analysis ndash 14C content of micro- to milligram quantities of carbon can be determined
bull Invasion of atmospheric CO2 into ocean can be observed
bull DIC of ocean water can be aged ndash giving estimate of deep residence time
bull POC and DOC in seawater have been aged ndash DOC found to be old
bull Bacteria in surface ocean use a mixture of old and new carbon 14C-content of natural materials (mg quantities) can be measured at the
National Ocean Sciences Accelerator Mass Spectrometry (NOSAMS)Facility at Woods Hole - httpwwwwhoiedunosams
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
Expected
Shaded area is deficit of 234Th due to scavening
Coale amp Bruland LampO 1987 ndash Application of Coale amp Bruland LampO 1987 ndash Application of 234234Th scavengingTh scavenging
Mixed layerpycnocline
Euphotic
bull Maximum scavenging near pigment maximum
bull Less scavenging in upper mixed layer (due to efficient recycling of particles amp biomass)
234234Th is particle reactive so most is rapidly adsorbed to Th is particle reactive so most is rapidly adsorbed to particles If particles sink quickly then have deficit of particles If particles sink quickly then have deficit of 234234Th Th
Moran et al 2003 Limnol Oceanogr 48 1018
234Th-derived
Radio-dating of materials with nuclides
Useful for determining the age of a particular piece of matter (organism fossil rock etc)
By obtaining an age for a piece of an accreting deposit (eg sediment coral skeleton clam shell Mn-nodule) at some depth into the deposit the accretion rates of deposit can be determined (assuming steady deposition)
If you can put an age on the sediment in this layer you therefore know how long it took to build up the sediment above it From the depth of the layer and its age (t) you can determine the sediment accretion rate (zt)
Depth z
Sediment core
How to determine ages in deposits
Use unsupported nuclide activities
If deposits are laid down with unsupported daughter activity and no additional inputs (other than supported activity) occur within the deposit then the unsupported (excess) activity will decay with time (=depth) into the deposit Sediment is a good example
20
0
Dep
th (
cm)
AD-excess (unsupported daughter)
Exponential Exponential decay of decay of excess excess activity with activity with depthdepth
The sedimentation or accretion rate is given by
s= zt Thus
t = zs or
t = zs
Substitute zs for t in decay law
Sediment-water interface
ADz = ADo e-λ(zs)
Where ADz is the unsupported activity at depth z and ADo is the unsupported activity at the surface of the deposit This can be rearranged to
ADzADo = e-λ(zs)
And linearized as
ln(ADz) ndash ln(ADo) = -λ(zs) which is the same as
ln(ADz) = ln(ADo) - λ(zs) and the same as
ln(ADz) = ln(ADo) ndash (λs) zX-coordinateslopeY-intercept
210Pb is derived from decay of gaseous 222Rn (t12 = 38 days) which originates in rocks on land but goes into the atmosphere where it is carried over water
210Pb produced in the atmosphere is rapidly rained out and it attaches to particles in the water which sink to the sediments
210Pb (t12 = 223 y) is often used to estimate sediment accretion rates in coastal areas where sedimentation is high
This leads to unsupported 210Pb activity at the surface of the sediment (activity ratio of 210Pb(daughter)226Ra(parent)
gt 1) This is also referred to as excess activity because it is in excess of what is supported by the secular equilibrium of the sedimentary 226Ra parent
Concentrations of unsupported 210Pb in sediments ndash can give estimate of sediment accretion rates
Fig 107 in PilsonFig 107 in Pilson
Linear slope (a) of the semi-log plot gives the sediment accretion rate If slope not linear ndash steady state sedimentation model does not apply
Log
sca
le
(Bioturbated)
Supported 230 Th activity (from 234U decay)
Excess
This figure focuses on the longer lived nuclide 230Th (t12 = 75200 y) Its chemistry (ie particle reactivity) is the same as 234Th but its decay is too slow to be useful for particle scavenging rates in the surface waters It is however useful for sediment accretion rates in the deep ocean where accretion rates are relatively slow
137Cs
Peak emissions of man-made 137Cs (t12 = ~30 y) into the atmosphere occurred in 1963
This particle reactive nuclide is scavenged to sediments where profiles reflect time inputs Depth above 137Cs peak has accreted since 1963
Core taken
in 1986
~10 cm per 23 y
Use of nuclides as event markers
Wetland sedimentsDeLaune et al 1989
137Cs first appeared in atmosphere in ~1953
Picocuries per section
Natural 14C- a cosmogenic nuclide
bull Produced in the upper atmosphere by spallation of 14N
bull Becomes 14CO2 in atmosphere
bull Dissolves in ocean and taken up by plants
bull Diluted by fossil fuel burning of low 14C carbon (Suess effect)
Man-made 14C
Produced from weapons testing ndash peak production in 1960rsquos
Increased atmospheric 14C by over 2x ndash slowly taken up by ocean
(Illustration by Jayne Doucette Woods Hole Oceanographic Institution)httpwwwwhoiedunosamspagedopid=40138
Applications of 14C datingMuch progress with introduction of accelerator mass spectrometer analysis ndash 14C content of micro- to milligram quantities of carbon can be determined
bull Invasion of atmospheric CO2 into ocean can be observed
bull DIC of ocean water can be aged ndash giving estimate of deep residence time
bull POC and DOC in seawater have been aged ndash DOC found to be old
bull Bacteria in surface ocean use a mixture of old and new carbon 14C-content of natural materials (mg quantities) can be measured at the
National Ocean Sciences Accelerator Mass Spectrometry (NOSAMS)Facility at Woods Hole - httpwwwwhoiedunosams
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
Moran et al 2003 Limnol Oceanogr 48 1018
234Th-derived
Radio-dating of materials with nuclides
Useful for determining the age of a particular piece of matter (organism fossil rock etc)
By obtaining an age for a piece of an accreting deposit (eg sediment coral skeleton clam shell Mn-nodule) at some depth into the deposit the accretion rates of deposit can be determined (assuming steady deposition)
If you can put an age on the sediment in this layer you therefore know how long it took to build up the sediment above it From the depth of the layer and its age (t) you can determine the sediment accretion rate (zt)
Depth z
Sediment core
How to determine ages in deposits
Use unsupported nuclide activities
If deposits are laid down with unsupported daughter activity and no additional inputs (other than supported activity) occur within the deposit then the unsupported (excess) activity will decay with time (=depth) into the deposit Sediment is a good example
20
0
Dep
th (
cm)
AD-excess (unsupported daughter)
Exponential Exponential decay of decay of excess excess activity with activity with depthdepth
The sedimentation or accretion rate is given by
s= zt Thus
t = zs or
t = zs
Substitute zs for t in decay law
Sediment-water interface
ADz = ADo e-λ(zs)
Where ADz is the unsupported activity at depth z and ADo is the unsupported activity at the surface of the deposit This can be rearranged to
ADzADo = e-λ(zs)
And linearized as
ln(ADz) ndash ln(ADo) = -λ(zs) which is the same as
ln(ADz) = ln(ADo) - λ(zs) and the same as
ln(ADz) = ln(ADo) ndash (λs) zX-coordinateslopeY-intercept
210Pb is derived from decay of gaseous 222Rn (t12 = 38 days) which originates in rocks on land but goes into the atmosphere where it is carried over water
210Pb produced in the atmosphere is rapidly rained out and it attaches to particles in the water which sink to the sediments
210Pb (t12 = 223 y) is often used to estimate sediment accretion rates in coastal areas where sedimentation is high
This leads to unsupported 210Pb activity at the surface of the sediment (activity ratio of 210Pb(daughter)226Ra(parent)
gt 1) This is also referred to as excess activity because it is in excess of what is supported by the secular equilibrium of the sedimentary 226Ra parent
Concentrations of unsupported 210Pb in sediments ndash can give estimate of sediment accretion rates
Fig 107 in PilsonFig 107 in Pilson
Linear slope (a) of the semi-log plot gives the sediment accretion rate If slope not linear ndash steady state sedimentation model does not apply
Log
sca
le
(Bioturbated)
Supported 230 Th activity (from 234U decay)
Excess
This figure focuses on the longer lived nuclide 230Th (t12 = 75200 y) Its chemistry (ie particle reactivity) is the same as 234Th but its decay is too slow to be useful for particle scavenging rates in the surface waters It is however useful for sediment accretion rates in the deep ocean where accretion rates are relatively slow
137Cs
Peak emissions of man-made 137Cs (t12 = ~30 y) into the atmosphere occurred in 1963
This particle reactive nuclide is scavenged to sediments where profiles reflect time inputs Depth above 137Cs peak has accreted since 1963
Core taken
in 1986
~10 cm per 23 y
Use of nuclides as event markers
Wetland sedimentsDeLaune et al 1989
137Cs first appeared in atmosphere in ~1953
Picocuries per section
Natural 14C- a cosmogenic nuclide
bull Produced in the upper atmosphere by spallation of 14N
bull Becomes 14CO2 in atmosphere
bull Dissolves in ocean and taken up by plants
bull Diluted by fossil fuel burning of low 14C carbon (Suess effect)
Man-made 14C
Produced from weapons testing ndash peak production in 1960rsquos
Increased atmospheric 14C by over 2x ndash slowly taken up by ocean
(Illustration by Jayne Doucette Woods Hole Oceanographic Institution)httpwwwwhoiedunosamspagedopid=40138
Applications of 14C datingMuch progress with introduction of accelerator mass spectrometer analysis ndash 14C content of micro- to milligram quantities of carbon can be determined
bull Invasion of atmospheric CO2 into ocean can be observed
bull DIC of ocean water can be aged ndash giving estimate of deep residence time
bull POC and DOC in seawater have been aged ndash DOC found to be old
bull Bacteria in surface ocean use a mixture of old and new carbon 14C-content of natural materials (mg quantities) can be measured at the
National Ocean Sciences Accelerator Mass Spectrometry (NOSAMS)Facility at Woods Hole - httpwwwwhoiedunosams
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
Radio-dating of materials with nuclides
Useful for determining the age of a particular piece of matter (organism fossil rock etc)
By obtaining an age for a piece of an accreting deposit (eg sediment coral skeleton clam shell Mn-nodule) at some depth into the deposit the accretion rates of deposit can be determined (assuming steady deposition)
If you can put an age on the sediment in this layer you therefore know how long it took to build up the sediment above it From the depth of the layer and its age (t) you can determine the sediment accretion rate (zt)
Depth z
Sediment core
How to determine ages in deposits
Use unsupported nuclide activities
If deposits are laid down with unsupported daughter activity and no additional inputs (other than supported activity) occur within the deposit then the unsupported (excess) activity will decay with time (=depth) into the deposit Sediment is a good example
20
0
Dep
th (
cm)
AD-excess (unsupported daughter)
Exponential Exponential decay of decay of excess excess activity with activity with depthdepth
The sedimentation or accretion rate is given by
s= zt Thus
t = zs or
t = zs
Substitute zs for t in decay law
Sediment-water interface
ADz = ADo e-λ(zs)
Where ADz is the unsupported activity at depth z and ADo is the unsupported activity at the surface of the deposit This can be rearranged to
ADzADo = e-λ(zs)
And linearized as
ln(ADz) ndash ln(ADo) = -λ(zs) which is the same as
ln(ADz) = ln(ADo) - λ(zs) and the same as
ln(ADz) = ln(ADo) ndash (λs) zX-coordinateslopeY-intercept
210Pb is derived from decay of gaseous 222Rn (t12 = 38 days) which originates in rocks on land but goes into the atmosphere where it is carried over water
210Pb produced in the atmosphere is rapidly rained out and it attaches to particles in the water which sink to the sediments
210Pb (t12 = 223 y) is often used to estimate sediment accretion rates in coastal areas where sedimentation is high
This leads to unsupported 210Pb activity at the surface of the sediment (activity ratio of 210Pb(daughter)226Ra(parent)
gt 1) This is also referred to as excess activity because it is in excess of what is supported by the secular equilibrium of the sedimentary 226Ra parent
Concentrations of unsupported 210Pb in sediments ndash can give estimate of sediment accretion rates
Fig 107 in PilsonFig 107 in Pilson
Linear slope (a) of the semi-log plot gives the sediment accretion rate If slope not linear ndash steady state sedimentation model does not apply
Log
sca
le
(Bioturbated)
Supported 230 Th activity (from 234U decay)
Excess
This figure focuses on the longer lived nuclide 230Th (t12 = 75200 y) Its chemistry (ie particle reactivity) is the same as 234Th but its decay is too slow to be useful for particle scavenging rates in the surface waters It is however useful for sediment accretion rates in the deep ocean where accretion rates are relatively slow
137Cs
Peak emissions of man-made 137Cs (t12 = ~30 y) into the atmosphere occurred in 1963
This particle reactive nuclide is scavenged to sediments where profiles reflect time inputs Depth above 137Cs peak has accreted since 1963
Core taken
in 1986
~10 cm per 23 y
Use of nuclides as event markers
Wetland sedimentsDeLaune et al 1989
137Cs first appeared in atmosphere in ~1953
Picocuries per section
Natural 14C- a cosmogenic nuclide
bull Produced in the upper atmosphere by spallation of 14N
bull Becomes 14CO2 in atmosphere
bull Dissolves in ocean and taken up by plants
bull Diluted by fossil fuel burning of low 14C carbon (Suess effect)
Man-made 14C
Produced from weapons testing ndash peak production in 1960rsquos
Increased atmospheric 14C by over 2x ndash slowly taken up by ocean
(Illustration by Jayne Doucette Woods Hole Oceanographic Institution)httpwwwwhoiedunosamspagedopid=40138
Applications of 14C datingMuch progress with introduction of accelerator mass spectrometer analysis ndash 14C content of micro- to milligram quantities of carbon can be determined
bull Invasion of atmospheric CO2 into ocean can be observed
bull DIC of ocean water can be aged ndash giving estimate of deep residence time
bull POC and DOC in seawater have been aged ndash DOC found to be old
bull Bacteria in surface ocean use a mixture of old and new carbon 14C-content of natural materials (mg quantities) can be measured at the
National Ocean Sciences Accelerator Mass Spectrometry (NOSAMS)Facility at Woods Hole - httpwwwwhoiedunosams
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
How to determine ages in deposits
Use unsupported nuclide activities
If deposits are laid down with unsupported daughter activity and no additional inputs (other than supported activity) occur within the deposit then the unsupported (excess) activity will decay with time (=depth) into the deposit Sediment is a good example
20
0
Dep
th (
cm)
AD-excess (unsupported daughter)
Exponential Exponential decay of decay of excess excess activity with activity with depthdepth
The sedimentation or accretion rate is given by
s= zt Thus
t = zs or
t = zs
Substitute zs for t in decay law
Sediment-water interface
ADz = ADo e-λ(zs)
Where ADz is the unsupported activity at depth z and ADo is the unsupported activity at the surface of the deposit This can be rearranged to
ADzADo = e-λ(zs)
And linearized as
ln(ADz) ndash ln(ADo) = -λ(zs) which is the same as
ln(ADz) = ln(ADo) - λ(zs) and the same as
ln(ADz) = ln(ADo) ndash (λs) zX-coordinateslopeY-intercept
210Pb is derived from decay of gaseous 222Rn (t12 = 38 days) which originates in rocks on land but goes into the atmosphere where it is carried over water
210Pb produced in the atmosphere is rapidly rained out and it attaches to particles in the water which sink to the sediments
210Pb (t12 = 223 y) is often used to estimate sediment accretion rates in coastal areas where sedimentation is high
This leads to unsupported 210Pb activity at the surface of the sediment (activity ratio of 210Pb(daughter)226Ra(parent)
gt 1) This is also referred to as excess activity because it is in excess of what is supported by the secular equilibrium of the sedimentary 226Ra parent
Concentrations of unsupported 210Pb in sediments ndash can give estimate of sediment accretion rates
Fig 107 in PilsonFig 107 in Pilson
Linear slope (a) of the semi-log plot gives the sediment accretion rate If slope not linear ndash steady state sedimentation model does not apply
Log
sca
le
(Bioturbated)
Supported 230 Th activity (from 234U decay)
Excess
This figure focuses on the longer lived nuclide 230Th (t12 = 75200 y) Its chemistry (ie particle reactivity) is the same as 234Th but its decay is too slow to be useful for particle scavenging rates in the surface waters It is however useful for sediment accretion rates in the deep ocean where accretion rates are relatively slow
137Cs
Peak emissions of man-made 137Cs (t12 = ~30 y) into the atmosphere occurred in 1963
This particle reactive nuclide is scavenged to sediments where profiles reflect time inputs Depth above 137Cs peak has accreted since 1963
Core taken
in 1986
~10 cm per 23 y
Use of nuclides as event markers
Wetland sedimentsDeLaune et al 1989
137Cs first appeared in atmosphere in ~1953
Picocuries per section
Natural 14C- a cosmogenic nuclide
bull Produced in the upper atmosphere by spallation of 14N
bull Becomes 14CO2 in atmosphere
bull Dissolves in ocean and taken up by plants
bull Diluted by fossil fuel burning of low 14C carbon (Suess effect)
Man-made 14C
Produced from weapons testing ndash peak production in 1960rsquos
Increased atmospheric 14C by over 2x ndash slowly taken up by ocean
(Illustration by Jayne Doucette Woods Hole Oceanographic Institution)httpwwwwhoiedunosamspagedopid=40138
Applications of 14C datingMuch progress with introduction of accelerator mass spectrometer analysis ndash 14C content of micro- to milligram quantities of carbon can be determined
bull Invasion of atmospheric CO2 into ocean can be observed
bull DIC of ocean water can be aged ndash giving estimate of deep residence time
bull POC and DOC in seawater have been aged ndash DOC found to be old
bull Bacteria in surface ocean use a mixture of old and new carbon 14C-content of natural materials (mg quantities) can be measured at the
National Ocean Sciences Accelerator Mass Spectrometry (NOSAMS)Facility at Woods Hole - httpwwwwhoiedunosams
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
ADz = ADo e-λ(zs)
Where ADz is the unsupported activity at depth z and ADo is the unsupported activity at the surface of the deposit This can be rearranged to
ADzADo = e-λ(zs)
And linearized as
ln(ADz) ndash ln(ADo) = -λ(zs) which is the same as
ln(ADz) = ln(ADo) - λ(zs) and the same as
ln(ADz) = ln(ADo) ndash (λs) zX-coordinateslopeY-intercept
210Pb is derived from decay of gaseous 222Rn (t12 = 38 days) which originates in rocks on land but goes into the atmosphere where it is carried over water
210Pb produced in the atmosphere is rapidly rained out and it attaches to particles in the water which sink to the sediments
210Pb (t12 = 223 y) is often used to estimate sediment accretion rates in coastal areas where sedimentation is high
This leads to unsupported 210Pb activity at the surface of the sediment (activity ratio of 210Pb(daughter)226Ra(parent)
gt 1) This is also referred to as excess activity because it is in excess of what is supported by the secular equilibrium of the sedimentary 226Ra parent
Concentrations of unsupported 210Pb in sediments ndash can give estimate of sediment accretion rates
Fig 107 in PilsonFig 107 in Pilson
Linear slope (a) of the semi-log plot gives the sediment accretion rate If slope not linear ndash steady state sedimentation model does not apply
Log
sca
le
(Bioturbated)
Supported 230 Th activity (from 234U decay)
Excess
This figure focuses on the longer lived nuclide 230Th (t12 = 75200 y) Its chemistry (ie particle reactivity) is the same as 234Th but its decay is too slow to be useful for particle scavenging rates in the surface waters It is however useful for sediment accretion rates in the deep ocean where accretion rates are relatively slow
137Cs
Peak emissions of man-made 137Cs (t12 = ~30 y) into the atmosphere occurred in 1963
This particle reactive nuclide is scavenged to sediments where profiles reflect time inputs Depth above 137Cs peak has accreted since 1963
Core taken
in 1986
~10 cm per 23 y
Use of nuclides as event markers
Wetland sedimentsDeLaune et al 1989
137Cs first appeared in atmosphere in ~1953
Picocuries per section
Natural 14C- a cosmogenic nuclide
bull Produced in the upper atmosphere by spallation of 14N
bull Becomes 14CO2 in atmosphere
bull Dissolves in ocean and taken up by plants
bull Diluted by fossil fuel burning of low 14C carbon (Suess effect)
Man-made 14C
Produced from weapons testing ndash peak production in 1960rsquos
Increased atmospheric 14C by over 2x ndash slowly taken up by ocean
(Illustration by Jayne Doucette Woods Hole Oceanographic Institution)httpwwwwhoiedunosamspagedopid=40138
Applications of 14C datingMuch progress with introduction of accelerator mass spectrometer analysis ndash 14C content of micro- to milligram quantities of carbon can be determined
bull Invasion of atmospheric CO2 into ocean can be observed
bull DIC of ocean water can be aged ndash giving estimate of deep residence time
bull POC and DOC in seawater have been aged ndash DOC found to be old
bull Bacteria in surface ocean use a mixture of old and new carbon 14C-content of natural materials (mg quantities) can be measured at the
National Ocean Sciences Accelerator Mass Spectrometry (NOSAMS)Facility at Woods Hole - httpwwwwhoiedunosams
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
210Pb is derived from decay of gaseous 222Rn (t12 = 38 days) which originates in rocks on land but goes into the atmosphere where it is carried over water
210Pb produced in the atmosphere is rapidly rained out and it attaches to particles in the water which sink to the sediments
210Pb (t12 = 223 y) is often used to estimate sediment accretion rates in coastal areas where sedimentation is high
This leads to unsupported 210Pb activity at the surface of the sediment (activity ratio of 210Pb(daughter)226Ra(parent)
gt 1) This is also referred to as excess activity because it is in excess of what is supported by the secular equilibrium of the sedimentary 226Ra parent
Concentrations of unsupported 210Pb in sediments ndash can give estimate of sediment accretion rates
Fig 107 in PilsonFig 107 in Pilson
Linear slope (a) of the semi-log plot gives the sediment accretion rate If slope not linear ndash steady state sedimentation model does not apply
Log
sca
le
(Bioturbated)
Supported 230 Th activity (from 234U decay)
Excess
This figure focuses on the longer lived nuclide 230Th (t12 = 75200 y) Its chemistry (ie particle reactivity) is the same as 234Th but its decay is too slow to be useful for particle scavenging rates in the surface waters It is however useful for sediment accretion rates in the deep ocean where accretion rates are relatively slow
137Cs
Peak emissions of man-made 137Cs (t12 = ~30 y) into the atmosphere occurred in 1963
This particle reactive nuclide is scavenged to sediments where profiles reflect time inputs Depth above 137Cs peak has accreted since 1963
Core taken
in 1986
~10 cm per 23 y
Use of nuclides as event markers
Wetland sedimentsDeLaune et al 1989
137Cs first appeared in atmosphere in ~1953
Picocuries per section
Natural 14C- a cosmogenic nuclide
bull Produced in the upper atmosphere by spallation of 14N
bull Becomes 14CO2 in atmosphere
bull Dissolves in ocean and taken up by plants
bull Diluted by fossil fuel burning of low 14C carbon (Suess effect)
Man-made 14C
Produced from weapons testing ndash peak production in 1960rsquos
Increased atmospheric 14C by over 2x ndash slowly taken up by ocean
(Illustration by Jayne Doucette Woods Hole Oceanographic Institution)httpwwwwhoiedunosamspagedopid=40138
Applications of 14C datingMuch progress with introduction of accelerator mass spectrometer analysis ndash 14C content of micro- to milligram quantities of carbon can be determined
bull Invasion of atmospheric CO2 into ocean can be observed
bull DIC of ocean water can be aged ndash giving estimate of deep residence time
bull POC and DOC in seawater have been aged ndash DOC found to be old
bull Bacteria in surface ocean use a mixture of old and new carbon 14C-content of natural materials (mg quantities) can be measured at the
National Ocean Sciences Accelerator Mass Spectrometry (NOSAMS)Facility at Woods Hole - httpwwwwhoiedunosams
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
Concentrations of unsupported 210Pb in sediments ndash can give estimate of sediment accretion rates
Fig 107 in PilsonFig 107 in Pilson
Linear slope (a) of the semi-log plot gives the sediment accretion rate If slope not linear ndash steady state sedimentation model does not apply
Log
sca
le
(Bioturbated)
Supported 230 Th activity (from 234U decay)
Excess
This figure focuses on the longer lived nuclide 230Th (t12 = 75200 y) Its chemistry (ie particle reactivity) is the same as 234Th but its decay is too slow to be useful for particle scavenging rates in the surface waters It is however useful for sediment accretion rates in the deep ocean where accretion rates are relatively slow
137Cs
Peak emissions of man-made 137Cs (t12 = ~30 y) into the atmosphere occurred in 1963
This particle reactive nuclide is scavenged to sediments where profiles reflect time inputs Depth above 137Cs peak has accreted since 1963
Core taken
in 1986
~10 cm per 23 y
Use of nuclides as event markers
Wetland sedimentsDeLaune et al 1989
137Cs first appeared in atmosphere in ~1953
Picocuries per section
Natural 14C- a cosmogenic nuclide
bull Produced in the upper atmosphere by spallation of 14N
bull Becomes 14CO2 in atmosphere
bull Dissolves in ocean and taken up by plants
bull Diluted by fossil fuel burning of low 14C carbon (Suess effect)
Man-made 14C
Produced from weapons testing ndash peak production in 1960rsquos
Increased atmospheric 14C by over 2x ndash slowly taken up by ocean
(Illustration by Jayne Doucette Woods Hole Oceanographic Institution)httpwwwwhoiedunosamspagedopid=40138
Applications of 14C datingMuch progress with introduction of accelerator mass spectrometer analysis ndash 14C content of micro- to milligram quantities of carbon can be determined
bull Invasion of atmospheric CO2 into ocean can be observed
bull DIC of ocean water can be aged ndash giving estimate of deep residence time
bull POC and DOC in seawater have been aged ndash DOC found to be old
bull Bacteria in surface ocean use a mixture of old and new carbon 14C-content of natural materials (mg quantities) can be measured at the
National Ocean Sciences Accelerator Mass Spectrometry (NOSAMS)Facility at Woods Hole - httpwwwwhoiedunosams
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
(Bioturbated)
Supported 230 Th activity (from 234U decay)
Excess
This figure focuses on the longer lived nuclide 230Th (t12 = 75200 y) Its chemistry (ie particle reactivity) is the same as 234Th but its decay is too slow to be useful for particle scavenging rates in the surface waters It is however useful for sediment accretion rates in the deep ocean where accretion rates are relatively slow
137Cs
Peak emissions of man-made 137Cs (t12 = ~30 y) into the atmosphere occurred in 1963
This particle reactive nuclide is scavenged to sediments where profiles reflect time inputs Depth above 137Cs peak has accreted since 1963
Core taken
in 1986
~10 cm per 23 y
Use of nuclides as event markers
Wetland sedimentsDeLaune et al 1989
137Cs first appeared in atmosphere in ~1953
Picocuries per section
Natural 14C- a cosmogenic nuclide
bull Produced in the upper atmosphere by spallation of 14N
bull Becomes 14CO2 in atmosphere
bull Dissolves in ocean and taken up by plants
bull Diluted by fossil fuel burning of low 14C carbon (Suess effect)
Man-made 14C
Produced from weapons testing ndash peak production in 1960rsquos
Increased atmospheric 14C by over 2x ndash slowly taken up by ocean
(Illustration by Jayne Doucette Woods Hole Oceanographic Institution)httpwwwwhoiedunosamspagedopid=40138
Applications of 14C datingMuch progress with introduction of accelerator mass spectrometer analysis ndash 14C content of micro- to milligram quantities of carbon can be determined
bull Invasion of atmospheric CO2 into ocean can be observed
bull DIC of ocean water can be aged ndash giving estimate of deep residence time
bull POC and DOC in seawater have been aged ndash DOC found to be old
bull Bacteria in surface ocean use a mixture of old and new carbon 14C-content of natural materials (mg quantities) can be measured at the
National Ocean Sciences Accelerator Mass Spectrometry (NOSAMS)Facility at Woods Hole - httpwwwwhoiedunosams
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
137Cs
Peak emissions of man-made 137Cs (t12 = ~30 y) into the atmosphere occurred in 1963
This particle reactive nuclide is scavenged to sediments where profiles reflect time inputs Depth above 137Cs peak has accreted since 1963
Core taken
in 1986
~10 cm per 23 y
Use of nuclides as event markers
Wetland sedimentsDeLaune et al 1989
137Cs first appeared in atmosphere in ~1953
Picocuries per section
Natural 14C- a cosmogenic nuclide
bull Produced in the upper atmosphere by spallation of 14N
bull Becomes 14CO2 in atmosphere
bull Dissolves in ocean and taken up by plants
bull Diluted by fossil fuel burning of low 14C carbon (Suess effect)
Man-made 14C
Produced from weapons testing ndash peak production in 1960rsquos
Increased atmospheric 14C by over 2x ndash slowly taken up by ocean
(Illustration by Jayne Doucette Woods Hole Oceanographic Institution)httpwwwwhoiedunosamspagedopid=40138
Applications of 14C datingMuch progress with introduction of accelerator mass spectrometer analysis ndash 14C content of micro- to milligram quantities of carbon can be determined
bull Invasion of atmospheric CO2 into ocean can be observed
bull DIC of ocean water can be aged ndash giving estimate of deep residence time
bull POC and DOC in seawater have been aged ndash DOC found to be old
bull Bacteria in surface ocean use a mixture of old and new carbon 14C-content of natural materials (mg quantities) can be measured at the
National Ocean Sciences Accelerator Mass Spectrometry (NOSAMS)Facility at Woods Hole - httpwwwwhoiedunosams
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
Natural 14C- a cosmogenic nuclide
bull Produced in the upper atmosphere by spallation of 14N
bull Becomes 14CO2 in atmosphere
bull Dissolves in ocean and taken up by plants
bull Diluted by fossil fuel burning of low 14C carbon (Suess effect)
Man-made 14C
Produced from weapons testing ndash peak production in 1960rsquos
Increased atmospheric 14C by over 2x ndash slowly taken up by ocean
(Illustration by Jayne Doucette Woods Hole Oceanographic Institution)httpwwwwhoiedunosamspagedopid=40138
Applications of 14C datingMuch progress with introduction of accelerator mass spectrometer analysis ndash 14C content of micro- to milligram quantities of carbon can be determined
bull Invasion of atmospheric CO2 into ocean can be observed
bull DIC of ocean water can be aged ndash giving estimate of deep residence time
bull POC and DOC in seawater have been aged ndash DOC found to be old
bull Bacteria in surface ocean use a mixture of old and new carbon 14C-content of natural materials (mg quantities) can be measured at the
National Ocean Sciences Accelerator Mass Spectrometry (NOSAMS)Facility at Woods Hole - httpwwwwhoiedunosams
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
Applications of 14C datingMuch progress with introduction of accelerator mass spectrometer analysis ndash 14C content of micro- to milligram quantities of carbon can be determined
bull Invasion of atmospheric CO2 into ocean can be observed
bull DIC of ocean water can be aged ndash giving estimate of deep residence time
bull POC and DOC in seawater have been aged ndash DOC found to be old
bull Bacteria in surface ocean use a mixture of old and new carbon 14C-content of natural materials (mg quantities) can be measured at the
National Ocean Sciences Accelerator Mass Spectrometry (NOSAMS)Facility at Woods Hole - httpwwwwhoiedunosams
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
14C-ages for compounds containing carbon
bull At the time of carbon fixation (photosynthesis) some 14C will be incorporated into organic matter based on the amount of 14C in the atmosphere (or seawater) at the time of fixation
bull Once an organism dies no replacement of 14C occurs therefore the 14C radioactivity can only decrease due to decay
bull Since the decay rate of 14C is known (1209 x 10-4 y-1) the deficit of 14C activity can tell us how much time has elapsed since that organic matter was alive
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
14C =(14CC)sample - (14CC)std x 1000 - IF
(14CC)std
Fractionation factor (a small correction)
A zero value for A zero value for ΔΔ1414C represents the C represents the 1414C content of preindustrial atmosphereC content of preindustrial atmosphere
From Bauer amp Bianchi 2011 Dissolved organic carbon cycling and transformation In A treatise on Estuarine and Coastal Science Vol 5 7-67
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
WOCE = World Ocean Circulation ExperimentWOCE = World Ocean Circulation Experiment
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
Deep DOC ~5900 years old Deep DOC ~4100 years old
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
Belize and Belize and Florida corals Florida corals
Galapagos Galapagos corals corals (upwelling (upwelling area)area)
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
Estuarine SiteEstuarine Site
Oceanic SiteOceanic Site
From Cherrier et al 2000From Cherrier et al 2000
Bacterioplankton use mainly recently fixed carbon ndash but in the open ocean some older carbon from DOC is utilized also
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
EndEnd
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
Age = -8033 ln (FmAge = -8033 ln (Fm13C corr13C corr))
S=S=1414CC1212C SampleC SampleB= B= 1414CC1212C BlankC BlankM = M = 1414CC1212C Modern referenceC Modern reference
Where lambda is 1(tru mean-life) of radiocarbon = 18267 = 000012097Yc is year of collection
Fraction Modern Fraction Modern
Fm is corrected to that of -25 ooo Fm is corrected to that of -25 ooo δδ1313C C
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
Res
iden
ce ti
me
=1
kR
esid
ence
tim
e =
1k
Large uncertainty in residence time or k
Large uncertainty in residence time or k
From Coale amp Bruland 1987From Coale amp Bruland 1987
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
238U -gt 234Th -gt-gt234U -gt 230Th -gt 226Ra -gt 222Rn -gthellip210Pb-gt-gt 206Pb
232Th -gt 228Ra -gt-gt 228Th -gt 224Ra -gt 220Rn -gt 216Po -gt hellip208Pb
235U -gt 231Th -gt 231Pa -gt-gt 227Th -gt 223Ra -gt 219Rn -gt hellip-gt 207Pb
Primordial decay series (three major parent nuclides)see Fig 102 in Pilson for decay chain and half lives of 238U series
All primordial series end with stable (non-radioactive) form of lead (Pb)
Parent Daughters
Stable end
product
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
In seawater
238U 9928 of total U based on the of atoms
235U 072
234U 00055
Although the atom ratio of 238U235U is 140 the activity ratio is only 217 because 235U has a much shorter half-life than 238U (so a greater fraction of the 238U atoms are undergoing decay at any time)
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974
This figure shows two shallow north-south sections from approximately the same area of the East Pacific depicting the C-14 concentrations measured 20 years apart Clearly visible is the evolution of the bomb C-14 signal (yellow-red) since the end of the nuclear bomb tests (top) to the present (top plot) especially at intermediate and high latitudes
httpwwwnosamswhoieduwocewocegeoshtml
1992
1974