Nuclear Decay. Nuclear Symbols Element symbol Mass number, A (p + + n o ) Atomic number, Z (number...

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Nuclear Decay

Nuclear Symbols

Element symbol

Mass number, A (p+ + no)

Atomic number, Z(number of p+)

U23592

Balancing Nuclear Equations

nKrBanU 10

9136

14256

10

23592 3

Areactants = Aproducts

Zreactants = Zproducts

235 + 1 = 142 + 91 + 3(1)

92 + 0 = 56 + 36 + 3(0)

Balancing Nuclear Equations #2

4222688Ra

226 = 4 + ____222

222

88 = 2 + ___86

86

Atomic number 86 is radon, Rn

Rn

Balancing Nuclear Equations #3

nInU 10

13953

10

23592 2

235 + 1 = 139 + 2(1) + ____95

3992 + 0 = 53 + 2(0) + ____

3995

Atomic number 39 is yttrium, Y

Y

Alpha Decay

Alpha production (a):

an alpha particle is a

helium nucleus ThHeU 23490

42

23892

Alpha decay is limited to heavy, radioactive

nuclei

ThU 23490

42

23892

242

242 orHe

Alpha Radiation

Limited to VERY large nucleii.

Beta Decay

Beta production (b):A beta particle is an electron ejected from the nucleus

ePaTh 01

23491

23490

Beta emission converts a neutron to a proton

0123491

23490 PaTh

0101 ore

Beta Radiatio

n

Converts a neutron into a proton.

Gamma Ray Production

Gamma ray production (g):

Gamma rays are high energy photons produced in association with other forms of decay.

Gamma rays are massless and do not, by themselves, change the nucleus

0023490

42

23892 2 ThHeU

Gamma Ray Production

Gamma ray production (g):

Gamma rays are high energy photons produced in association with other forms of decay.Gamma rays are massless and do not, by themselves, change the nucleus

0023490

42

23892 2 ThHeU

Positron Production

Positron emission:Positrons are the anti-particle of the electron

Positron emission converts a proton to a neutron

NeeNa 2210

01

2211

e01

Electron Capture

Electron capture: (inner-orbital electron is captured by the nucleus)

Electron capture converts a proton to a neutron

0020179

01

20180 AueHg

Types of Radiation

NuclearStability

Decay will occur in such a way as to return a nucleus to the band (line) of stability.The most stable nuclide is Iron-56

If Z > 83, the nuclide is radioactive

Graphic – Wikimedia user : Napy1kenobi

A Decay Series

A radioactive nucleus reaches a stable state by a series of steps

Graphic – Wikimedia Commons User Tosaka

Half-life

Graphic - http://cafreetextbooks.ck12.org/science/CK12_Earth_Science_rev.pdf

Decay Kinetics

Decay occurs by first order kinetics (the rate of decay is proportional to the number of nuclides present)

ktN

N

0

lnN = number of nuclides remaining at time t

N0 = number of nuclides present initially

k = rate constant

t = elapsed time

Calculating Half-life

kkt

693.0)2ln(2/1

t1/2 = Half-life (units dependent on rate constant, k)

Sample Half-Lives

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