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Spectroscopic Probes of Protein Dynamics: Hemoglobin and Myoglobin NC State University

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Page 1: Spectroscopic Probes of Protein Dynamics: Hemoglobin and ...franzen/public_html/CH736/lecture/Hb_Mb_Lecture.pdf · Structural heterogeneity in myoglobin has been proposed based on

Spectroscopic Probes of Protein Dynamics:

Hemoglobin and Myoglobin

NC State University

Page 2: Spectroscopic Probes of Protein Dynamics: Hemoglobin and ...franzen/public_html/CH736/lecture/Hb_Mb_Lecture.pdf · Structural heterogeneity in myoglobin has been proposed based on

N N

NN

O O-O O-

Fe

The iron in heme is the binding site for oxygen and peroxide

Heme is iron protoporphyrin IX.

Functional aspects in Mb

O|||O

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N N

NN

O O-O O-

Fe

The iron in heme is the binding site for oxygen and peroxide

Heme is iron protoporphyrin IX.

Functional aspects in Mb

1. Discrimination againstCO binding.

O|||C

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N N

NN

O O-O O-

Fe

The iron in heme is the binding site for oxygen and peroxide

Heme is iron protoporphyrin IX.

Functional aspects in Mb

1. Discrimination againstCO binding.

2. O2 is the physiologicallyrelevant ligand, but it canoxidize iron (autooxidation).

3+

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Myoglobin

PDB: 1A6G

SCOPClass: All α proteinsSuperfamily:

Globin-likeFamily: Globins

Vojetchovsky,Berendzen,Schlicting

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The substrate of DHP binding site

Lebioda et al., J.Biol.Chem. (2000) 275, 18712

4-iodophenol

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Catalytic activity in a hemoglobin

Tribromophenol

DibromoQuinone

DHP + TPB + H2O2

DHP + DBQ + H2O

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Conformational SubstatesProteins can assume a huge number of slightly different structures (conformational substates), which can be represented by nearly isoenergetic minima in an energy landscape with a typical barrier height of 10 kJ/mol.

What is the functional role of these substates?

kBT

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Enzymatic catalysis involves lowering of the energy barrier

∆H*

Protein fluctuations are certainly required for catalysis.However, the important question is:How is specificity built into the catalytic mechanism?

∆H*

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Non-equilibrium relaxationProtein-substrate, protein-protein and protein-DNA interactions usually do not occur under equilibrium conditions in living systems.

Non-equilibrium relaxations from one state to another occur in many situations in biology:

Ligand binding and transportSignalingElectron TransferEnzymatic CatalysisProtein Folding

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MbCO

The peptide backboneis shown as a ribbonthat follows the a-helicalstructure of myoglobin.

The structure shown isat equilibrium.

Conformational substatesare called A states.

Teng, Srajer, MoffatNature Struct. Biol. (1994), 1, 701

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Mb:COThe photoproduct.

Iron moves out of the heme planewhen CO is photolyzed.

CO moves to a dockingsite and is parallel to the heme plane.

Conformational substatesare called B states.

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Deoxy Mb

The deoxy structurehas no CO ligand.

The protein backbonehas shifted to permita water to enter thedistal pocket.

This form is often referred to an S state.

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MbCO

Mb:CO

Deoxy Mb

A comparison ofthree structures showsthe changes in bothproximal and distalhistidines.

k12

k23

Protein Data Bank 1A6N 1AJG 1AJH

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Deoxy Mb

Mb:CO

MbCO

These structuresrepresent the three states of a kinetic scheme.

k21

k32

Teng, Srajer, MoffatNature Struct. Biol. (1994), 1, 701

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Page 17: Spectroscopic Probes of Protein Dynamics: Hemoglobin and ...franzen/public_html/CH736/lecture/Hb_Mb_Lecture.pdf · Structural heterogeneity in myoglobin has been proposed based on
Page 18: Spectroscopic Probes of Protein Dynamics: Hemoglobin and ...franzen/public_html/CH736/lecture/Hb_Mb_Lecture.pdf · Structural heterogeneity in myoglobin has been proposed based on
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Page 20: Spectroscopic Probes of Protein Dynamics: Hemoglobin and ...franzen/public_html/CH736/lecture/Hb_Mb_Lecture.pdf · Structural heterogeneity in myoglobin has been proposed based on

Absorption Spectroscopy:Introduction to

Vibronic Coupling

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Porphine orbitals

eg eg

a2u a1u

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The four orbital model is used to represent the highest occupied and

lowest unoccupied MOs of porphyrins

eg π∗

a1u πa2u π

The two highest occupiedorbitals (a1u,a2u) are nearly equal in energy. The egorbitals are equal in energy.Transitions occur from:a1u→ eg and a2u → eg.

M1

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The transitions from ground state π orbitalsa1u and a2u to excited state π* orbitals eg

can mix by configuration interaction

eg π∗

a1u πa2u π

Two electronic transitionsare observed. One is verystrong (B or Soret) and the other is weak (Q).The transition moments are:MB = M1 + M2MQ = M1 - M2 ≈ 0

M1 M2

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The porphine ring is an aromatic ring that has a fourfold symmetry axis

The ring and metal can beconsidered separately.The ring has been succesfullymodeled using the Goutermanfour orbital model.In globins the iron is Fe(II)and can be either high spin or low spin.MbCO ------ low spinDeoxy Mb - high spin

N N

NN

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Four orbital model of metalloporphyrin spectra

|By0⟩ = 1

2 a2uegy + a1uegx

|Qy0⟩ = 1

2 a2uegy – a1uegx

|Bx0⟩ = 1

2 a2uegx + a1uegy

|Qx0⟩ = 1

2 a2uegx – a1uegy

There are four excited state configurations possible inD4h symmetry. These are denoted B (strong) and Q(weak).

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The absorption cross sectionThe absorption cross section for a Franck-Condon active transition is proportional to:

Here i and f represent individual vibrationallevels in each electronic manifold. The polarization can be σ = x, y, or z.

<i|eσ|f>2

Ef – Ei – hω – iΓ f

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The Herzberg-Teller expansionThe Herzberg-Teller expansion of a particularvibronic level is given by:

This expansion describes how electronic statesn and r can mix by virtue of distortions of themolecular geometry.

|nv⟩ = |n⟩ 0|v⟩ +r| ∂H∂QK

|n u|QK|v

En,v – Er,u|r⟩|u⟩Σ

KΣr

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Vibronic matrix elements

By0| ∂H∂Q |Qy

0 = a2u| ∂H∂Q |a2u

– a1u| ∂H∂Q |a1u + egy| ∂H∂Q |egy – egx| ∂H∂Q |egx

Qy0| ∂H∂Q |Qy

0 = a1u| ∂H∂Q |a1u

+ a2u| ∂H∂Q |a2u + egy| ∂H∂Q |egy + egx| ∂H∂Q |egx

Interstate Herzberg-Teller coupling:

Intrastate Jahn-Teller coupling:

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Vibronic theory of absorptionThe extinction coefficient is proportional to the square of the transition moment:

FC part

Vibronicpart

∈ = <i|eσ|f>2<0|v>2

Efv – Ei0 – hω – iΓ fΣv +

<r| ∂H∂QK

|f><u|QK|v><i|eσ|r>Ef ,v – Er,u

2

<0|u>2

Efv – Ei0 – hω – iΓ fΣK

Σr

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Transition moments in the four orbital model with configuration interaction

The mixing of the B and Q states is representedby the angle α:

rσ0 ≡ G|eσ|Qσ0

Rσ0 ≡ G|eσ|Bσ

0

rσ = G|eσ|Qσ = cos α G|eσ|Qσ0 + sin α G|eσ|Bσ

0

= cos α rσ0 +sin α Rσ0

Rσ = G|eσ|Bσ = cos α G|eσ|Bσ0 + sin α G|eσ|Qσ

0

= cos α Rσ0 +sin α rσ0

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The B and Q bands for B1g and B2gsymmetry vibronic matrix elements

Franck-Condonpart

Herzberg-Teller part

∈ = Rσ0 2 sin2 α

EQ0 – hω 2 + ΓQ2

+cos2 α

EB0 – hω 2 + ΓB2

+ Rσ0 2b g

2

sin α sin 2αhωK

+cos α cos 2αEQ

0 – EB0 + hω

EQ1 – hω 2 + ΓQ2

+

cos α sin 2αhωK

+sin α cos 2αEQ

0 – EB0 – hω

EB1 – hω 2 + ΓB2

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Vibronic lineshapes as a function of angle α for B1g vibronic modes

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Vibronic lineshapes for B1g modes as a function of vibronic strength (α =1o)

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Vibronic lineshapes for B1g modes as a function of vibronic strength (α =15o)

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The B and Q bands for A2gsymmetry vibronic matrix elements

Franck-Condonpart

Herzberg-Teller part

∈ = Rσ0 2 sin2 α

EQ0 – hω 2 + ΓQ2

+cos2 α

EB0 – hω 2 + ΓB2

+ Rσ0 2a2g

2

cos2 α

EQ0 – EB

0 + hω2

EQ1 – hω 2 + ΓQ2

+

sin2 α

EQ0 – EB

0 – hω2

EB1 – hω 2 + ΓB2

Page 36: Spectroscopic Probes of Protein Dynamics: Hemoglobin and ...franzen/public_html/CH736/lecture/Hb_Mb_Lecture.pdf · Structural heterogeneity in myoglobin has been proposed based on

Vibronic lineshapes for A2g modes as a function of vibronic strength (α =15o)

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Ligand recombination is a sum of single exponential processes at room temperature

Difference spectrum from nanosecond transient absorption spectroscopy.

kescape

kbimolecular

His - FeP::CO

His-FeP + CO

His-FeP-CO

kgeminatehν

S(t) = Φgee– (k gem + k esc)t + Φbie– k bit

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The heme iron center moves out of the heme plane and the porphyrin macrocycle

domes upon deligation of CO

CO is photolyzed Fe displacement

PlanarHeme

DomedHeme

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The ligation of CO changes the spin state of the heme iron

dz2

dx2-y2

dxz,dyz

dxy

dz2

dx2-y2

dyz

dxz

dxy

Low spin Fe(II) High spin Fe(II)

S = 0 S = 2

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Absorption spectra for Absorption spectra for MbCO MbCO and and deoxy deoxy MbMb

Soret Band Q Band

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Infrared Spectroscopy

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Structural heterogeneity in myoglobin has been proposed based on the observation

of multiple CO stretching bands• The bands are observed at 1966 cm-1,

1945 cm -1, and 1927 cm -1.• The heterogeneity has been attributed to

conformational substates.• Rebinding to each substate is also

observed to be non-exponential.• Are there many relevant tiers of

substates?

Page 43: Spectroscopic Probes of Protein Dynamics: Hemoglobin and ...franzen/public_html/CH736/lecture/Hb_Mb_Lecture.pdf · Structural heterogeneity in myoglobin has been proposed based on

The origin of the A states is the hydrogen bonding conformations to CO

Page 44: Spectroscopic Probes of Protein Dynamics: Hemoglobin and ...franzen/public_html/CH736/lecture/Hb_Mb_Lecture.pdf · Structural heterogeneity in myoglobin has been proposed based on

L29

H64F43

V68

Distal

Proximal

Protein Data Bank 2MGK

Infrared spectra of myoglobin

Page 45: Spectroscopic Probes of Protein Dynamics: Hemoglobin and ...franzen/public_html/CH736/lecture/Hb_Mb_Lecture.pdf · Structural heterogeneity in myoglobin has been proposed based on

L29

H64F43

V68

Distal

ProximalQuillin, Phillips et al.JMB 1993, 234, 140-155

Wild type Mb IR spectra show multiple bands

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Mutants at the V68 position also show multiple bands

L29

H64F43

V68Distal

Proximal

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The H64V mutant shows a single IR band

L29

H64F43

V68Distal

Proximal

Page 48: Spectroscopic Probes of Protein Dynamics: Hemoglobin and ...franzen/public_html/CH736/lecture/Hb_Mb_Lecture.pdf · Structural heterogeneity in myoglobin has been proposed based on

DFT calculation of νCO frequencies

Multiple hydrogen bonding interactions

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Single hydrogen bonding interaction

DFT calculation of νCO frequencies

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No hydrogen bonding interaction

DFT calculation of νCO frequencies

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DFT calculation in an applied electric field+ + + + + + + + + + + +

− − − − − − − − − − − − − − − −

F

Franzen JACS (2002) 124, 13271

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DFT calculation of νCO frequencies

Park and BoxerJPC 1999, 103, 9013

Stark tuning rate is 2.4 cm-1/(MV/cm).This is value predictedfrom correlations shownon right.

Franzen JACS (2002) 124, 13271

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Cryogenic Spectroscopy

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At less than 10K photolyzed Mb*CO recombines by nuclear tunneling

k = Ae– HBA/RT

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Current hypothesisThe iron coordinate controls the barrier to CO rebinding and explains the distribution of energy barriers.

Austin et al. Biochemistry 1975, 14, 5355

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Experimental observation:

Mb*CO at t1

Steinbach et al. Biochemistry1991, 30, 3988

Iron relaxation hypothesis rests on the assignment of charge transfer band III

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Experimental observation:

Mb*CO at t2

Steinbach et al. Biochemistry1991, 30, 3988

Iron relaxation hypothesis rests on the assignment of charge transfer band III

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Experimental observation: Kinetic holeburning

Mb*CO t2 - t1

Steinbach et al. Biochemistry1991, 30, 3988

Iron relaxation hypothesis rests on the assignment of charge transfer band III

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Assignment of band IIIThe interpretation of the data depends critically on the assignment of band III.

Band III has been assigned based on single crystal absorption data.

However, there have been problems with the interpretation from the very earliest experiments.

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Interpretation of kinetic hole burning

Conformational substatesare correlated with theband III maximumand theenthalpy of rebindingandthe rate constant distribution.

Steinbach et al. Biochemistry1991, 30, 3988

ν (cm-1)

H (kJ/mol)

log(t/s)-6 -5 -4 -3 -2

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Ultrafast Spectroscopy

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Ligand dynamics, protein dynamics, and fast recombination can be

monitored by ultrafast spectroscopy

Mode lockedTi:sapphire Laser

ZAP!MbCOSample

Time resolution from100 fs to nanoseconds.

Nd:YLF Laser

Regenerativeamplifier

BBO ContinuumDelay line

Frequency doubled 100 fs pulses 1000 Hz

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Ultrafast near-infrared spectroscopy shows that a protein relaxation

follows photolysis

Jackson, Lim, Anfinrud Chem. Phys. 1994, 180, 131-140

Band III at 10 ps, 10 ns,100 ns, and 10 µs

Non-exponential band IIIdecay in buffer solution η = 1cp

Mb:CO

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Ultrafast mid-infrared shows CO trapping in the distal pocket

C O

O C

Two CO orientationsin infrared bands

B1 and B2

Spectral bands arerotamers of CO in Mb

Nature structural BiologyLim, Jackson, Anfinrud, 1997, 4, 209

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What is the structure origin of the viscosity dependent protein relaxation?

The heme iron out-of-plane motion could change heme spectra

- band III a1u,a2u → dπ charge transfer band and therefore its frequency maximum is thought to depend on the heme iron position.

- rebinding enthalpy H is thought to depend on the heme iron position and there is a connection between H and the position of band III (kinetic hole burning).

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The iron hypothesis“The red shift of the Soret band and band III by the same amount ∆ν = 140 cm-1 , suggests that changes in a single coordinate affect both the Soret band and band III. We expect that the primary coordinate associated with the heme relaxation from Mb* to Mb involves heme doming, characterized by the iron out-of-plane displacement”

Srajer and Champion Biochemistry (1991), 30, 7390

“The similarity of the deoxyheme (Soret) spectral changes to those observed for hemoglobin suggests that they correspond to a displacement of the iron relative to the heme plane that is coupled to a protein conformational change on the proximal side of the heme.”

Ansari, Hofrichter, Eaton et al. Science (1992), 256, 1976

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The iron hypothesis“As the effective coordinate involved in the time-dependent barrier (responsible for non-exponential NO rebinding kinetics), we focus on the Fe-heme distance. It is, in turn, modulated by the protein relaxation. The latter is the major factor that regulates the distribution of geminate rebinding rates over a picosecond time scale at room temperature.”

Petrich, Karplus, and Martin Biochemistry (1991), 30, 3986

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Iron

Dockingsite

What structural feature is responsible for the relaxation?

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An alternative view of relaxationProtein relaxation involves CO dockingnot the iron out-of-plane motion.1. Iron out-of-plane motion occurs in < 2 ps. 2. NO recombination is biexponential. The two components are due to the rotamers of NO.

3. The Soret band and band III shift couple to distal mutations, and are not coupled to proximal mutations.

4. Band III is a vibronically coupled charge transfer band! Band III is coupled exclusively to non-totally symmetric modes.

5. MCD spectra are consistent with vibronic coupling model.6. Temperature dependent νFe-L mode is consistent withanharmonic coupling and not conformational substates indeoxy Mb.

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Ultrafast NO recombination kinetics show an acceleration in rate with

increasing ηMaximum entropy method1. Two populations2. Tends towards a single

population at high η

Picosecond kinetics of photolyzed MbNO

Shreve, Franzen, and Dyer JPC 1999, 103,7969

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FTIR data show that there are two populations of NO

Miller, Chance et al. Biochemistry 1997, 40, 12199

Photoproduct statescan interconverteven at 10 K

The lower wavenumberband corresponds to alower barrier

B1 B2

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Protein relaxation can be monitored by Soret band and Band III

frequency shifts

Franzen and Boxer JBC 1997, 272, 9655

Band III shift Soret band shift

Comparison oftime-dependentfrequency shifts

290 K250 K

250 K

250 K

Observed in 75%glycerol/buffer

η = 30 cP at 290 Kη = 300 cP at 250 K

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Time-resolved absorption spectroscopy shows protein relaxation following photolysis does

not depend on the proximal ligand

CO rebinding progressis monitored by ∆A.

∆A

Protein relaxation monitoredby ∆ν of the absorption band.

MbCO in 75% glycerol/buffer solution.

Franzen and Boxer JBC 1997, 272, 9655

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Near-infrared bands of heme in deoxy myoglobin

MagneticCircularDichroism

Absorption

CircularDichroism

Single crystalpolarizedabsorptionspectra

c axis

a axis

a,c axis

Frequency (cm-1)

Band III

IIII

IVII

Eaton et al. JACS 1978, 100, 4991

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Near-infrared charge transfer bands of the heme in deoxy myoglobin

Eaton et al. JACS 1978, 100, 4991

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Raman Spectroscopy

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A resonance Raman spectrum is obtained by laser light scattering

Laser Spectrograph

Detector

Sample

Inelastic light scattering produces a frequency shift. There is exchange of energy between the vibrations of the molecule and the incident photon.

Lens

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Resonance Raman spectrum for Resonance Raman spectrum for excitation of hemeexcitation of heme SoretSoret bandband

Soret BandB Band Excitation Laser Q Band

Raman spectrum

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Soret (B) band Resonance Raman spectra of MbCO and Deoxy Mb

ν8

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B band Resonance Raman spectra of MbCO and Deoxy Mb

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The cooperative R - T switch relies on iron displacement to communicate

between α and β subunits

Hemoglobin is composed of two α and two βsubunits whose structures resemble myoglobin.

Eaton et al. Nature Struct. Biol. 1999, 6, 351

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Ultrafast resonance Raman spectroscopy shows that heme doming occurs in ≈1 ps

Equilibrium HbCO

Difference spectra obtainedby subtraction of the redspectrum from spectra obtained at the timedelays shown.

Franzen et al. Nature Struct. Biol. (1994) 1, 230

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The frequency of the iron-histidine vibration shows strain in T state

The comparison of photolyzedHbCO in the R state andthe equilibrium T state.Hb*CO at 10 ns Fe-His = 230 cm-1

Deoxy HbFe-His = 216 cm -1The lower frequency indicatesweaker bonding interactionand coupling to bending modes.

λexc = 435 nmFe-His

Deoxy HbT-state

Hb*CO10 nsR-state

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The motion of the F-helix tugs on the proximal histidine and introduces strain

The frequency lowering in the T state arisesfrom weaker Fe-His ligation and from anharmonic coupling introduced by thebent conformation of the proximal histidine.

FeN

NH

FeN

NH

R state T state

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Time-resolved resonance Raman can follow the R - T structure change

Strain is introduced instages as intersubunitcontacts are made.Based on the x-ray datait was proposed that theiron displacement fromthe heme plane is a triggerfor the conformational changes.

Hb*CO

10 ns

100 ns400 ns1 µs

8 µs

15 µs40 µs60 µs

120 µs

Deoxy Hb

Time evolution

200 210 220 230 240Raman Shift (cm-1)

Scott and Friedman JACS 1984, 106, 5877

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Many Peroxidases belong to the Cytochrome c Peroxidase family

PDB: 1A2FCytochrome c Peroxidase (CCP)Class: All α proteinsSuperfamily:

Heme peroxidasesFamily: CCP-like Goodin and McCree

Scripps Institute

PDB: 2ATJHorseradish Peroxidase (HRP)Class: All α proteinsSuperfamily:

Heme peroxidasesFamily: CCP-like Hendrickson et al.

Biochemistry (1998)37, 8054

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Dehaloperoxidase is a peroxidase that belongs to the globin family

PDB: 1A6GMyoglobin (Mb)Class: All α proteinsSuperfamily:

Globin-likeFamily: Globins

Vojetchovsky,Berendzen,Schlichting

PDB: 1EW6Dehaloperoxidase (DHP)Class: All α proteinsSuperfamily:

Globin-likeFamily: Globins

Lebioda et al. J.Biol.Chem. 27518712 (2000)

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MbDHP

Comparison of DHP and Mb Structures比起DHP和Mb 结构

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Resonance Raman spectroscopy of iron-histidine stretching mode of

deoxy dehaloperoxidase

The frequency of the Fe-His mode is intermediate betweenthat of myoglobin (HHMb) and horseradish peroxidase (HRP).

Franzen et al., JACS (1998), 120, 4658-4661

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Model for proximal hydrogen bonding

Peroxidase Catalytic TriadAsp-His-Fe

Franzen JACS 2001,123, 12578

Asp

HisFe

This is the “push”In peroxidase mechanism

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Model for proximal hydrogen bonding

Dehaloperoxidase Catalytic TriadC=O-His-Fe?

Franzen JACS 2001,123, 12578

Backbone C=O

HisFe

Hydrogen bond strengthis intermediate betweenMb and HRP/CcP.

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General expression for Raman scattering transition polarizability

The transition polarizability involves an electricfield interaction for the incident wave σ and thescattered wave ρ:

αρσ if=

i|eσ|n n|eρ| fEn – E f – hω – iΓn

Σn

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Raman scattering transition polarizability for vibronic bands

Substituting in the H-T expansion we have for σ:

αρσ 01

′ =i0|eσ|r0

r0| ∂H /∂Q |n1

Er0 – En11|Q|0 n1|eρ|i1

En1 – Ei0 – hω – iΓnΣv

αρσ 01

′′ =i0|eσ|n0 0|Q|1

r1| ∂H /∂Q |n0

Er1 – En0r1|eρ|i1

En0 – Ei0 – hω – iΓnΣv

and for ρ:

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Vibronic matrix elements for B1g and B2g vibronic modes

αxybg = – bgRσ02

sin2 α sin 2αhωΚ

+sin α cos α cos 2α

EB0 – EQ0 + hωΚ

EQ0 – hω 2 + ΓQ2

cos2 α sin 2αhωΚ

+sin α cos α sin 2α

EB0 – EQ0 – hωΚ

EB0 – hω 2 + ΓB2

– bgRσ0 2

sin α cos α sin 2α

EB0 – EQ0 – hωΚ

–sin2 α sin 2α

hωΚ

EQ1 – hω 2 + ΓQ2

+

cos2 α sin 2αhωΚ

–sin α cos α sin 2α

EB0 – EQ0 + hωΚ

EB1 – hω2

+ ΓB2

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Vibronic Raman excitation profile as a function of angle α for B1g modes

Predicted Jahn-Tellerenhancement

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Vibronic Raman excitation profile for the Q band for B1g modes

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Vibronic Raman excitation profile as a function of vibronic strength of B1g

modes for α = 1o

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Vibronic Raman excitation profile as a function of vibronic strength of B1g

modes for α = 15o

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Vibronic matrix element for A2gvibronic modes

αxya2g = – a2gRσ

0 2cos α sin α

1/ EB0 – EQ0 + hωΚ

EQ0 – hω – iΓQ+

1/ EB0 – EQ0 – hωΚ

EB0 – hω – iΓB–

1/ EB0 – EQ0 – hωΚ

EQ1 – hω – iΓQ–

1/ EB0 – EQ0 + hωΚ

EB1 – hω – iΓB

The A2g modes can be easily assigned from the depolarization ratio. These modes are prediected to have ρ = ∞. Experimentally, large ρ >> 0.75are observed.

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Vibronic Raman excitation profile as a function of vibronic strength of A2g

modes for α = 15o

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Raman spectra for the Soret, Q, and III

Franzen et al. JACS (2002) 124, 7146

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Q band Resonance Raman spectra

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REPs of B1g modes

ν11

ν10

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ν19

ν20 ν21

REPs of A2g modes

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Band III resonance Raman spectra

Franzen et al. JACS (2002) 124, 7146

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REP of high frequency band III modes

ν10

ν13

ν11

ν19ν28

Franzen et al. JACS (2002) 124, 7146

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B1g modes

REP of high frequency band III modes

Franzen et al. JACS (2002) 124, 7146

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Significance of Mb substatesConformational substates must include functional tests forspecific functional states.

The biological role of myoglobin is consistent with relaxationand conformational states of the distal pocket.

There are specific conformational states that are important1. The docking site (transient)2. The distal histidine interaction (closed form)3. The open form

Inhomogeneous broadening is a background that is always present.

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Deoxy Mb MbCO

The 150 cm-1 B1g mode is ν18 in MbCOand a mixed ν18, γ16 mode in deoxy Mb

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The side view reveals significant out-of-plane character for ν18 in deoxy Mb

Deoxy Mb MbCO

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Magnetic Circular Dichroism

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The Perimeter Model

The porphine ring has D4h symmetry.The aromatic ring has 18 electrons.The p system approximates circular electron path.

N N

NN

m = 01

2

3

4

5

-1-2

-3

-4

-5

Φ = 12πeimφ

∆m=1∆m=9

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MCD spectra

Franzen, JPC Accepted

∆ε ν = A1 –∂ f ν∂ν + B0 + C0

k BTf ν

∆εm ν

ε ν= A1µBD0

–∂ f ν∂νf

∆Lz = 2A1

D0

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MbCO MCD spectra follow the PM

The spectra are A-term MCD as shown by the derivatives of the absorption spectrum (red). The (Q MCD) = 9 x (B MCD).

B Q

Franzen, JPC Accepted

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Deoxy MCD spectra are anomalous

C-term 4 time larger than MbCO!

B Q

A-term but with vibronic structure

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MCD spectra: Vibronic couplingin the Perimeter Model

Franzen, JPC Accepted

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MCD spectra: Vibronic couplingin the Perimeter Model

Metal Porphyrin Vibronic Distortions

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Conclusions for band IIIAlthough band III behaves as a ring-to-metalcharge transfer band it is vibronically coupledto the Soret band. It is not the iron-histidinemode that is coupled to the transition, but ratherin-plane non-totally symmetric modes. 1. The polarization arises from vibronic coupling

to in-plane non-totally symmetric modes.

2. The small charge displacement results fromstrong mixing of III with the Soret band.

3. The temperature dependence arises from thermalpopulation of the B1g mode ν18 at 150 cm-1.

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Anharmonic Coupling

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Temperature dependence of the H93G(Im) axial mode

Franzen, Fritsch, Brewer JPC Accepted

80 K

293 K

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Temperature dependence of the H93G(2-Me Im) axial mode

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Temperature dependence of the H93G(H2O) axial mode

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Differences in anharmonicity

for axial ligands

Experimental approachshows that axial ligands differ.

Horse heart is closest toH93G(4-Me Im).

H93G(2-Me Im) is the most anharmonic.

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DFT calculated mode-mode anharmonic

coupling

Comparison with experiment

Frequency shift of axial-ligand mode calculated for displacement of iron doming mode.

Only H93G(1-Me Im) excluded because of Fermi resonance.

Im4-Me Im

2-Me Im

4-Br Im

2,4-diMe Im

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Iron-ligand stretching and doming modes

νFe-L νFe-doming

4-Me Im

1-Me Im

143 cm-1 77 cm-1

161 cm-1 81 cm-1

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Iron-ligand stretching and doming modes

νFe-L νFe-doming

Im

4-Br Im

70 cm-1

87 cm-1

143 cm-1

170 cm-1

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Significance of substatesFunctional test is needed.

In spectroscopy solvation states give rise toinhomogeneous broadening.

Propose the same distinction for kinetics.Non-exponential kinetics in myoglobin is dueto an inhomogeneous distribution.

The inhomogeneous linewidth depends on the environment and hence is not the samefor all proteins.

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Myoglobin function depends on specific distal dynamics

Prevent autooxidation: docking site

Discriminate against CO binding: histidine 64

Trigger for O2 release: low pH form?

These functional criteria are all consistent withthe alternative view. They all involve dynamicson the distal side.

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A picture of the open and closed states of myoglobin

H64pH 7 νCO = 1943 cm-1

pH 5 νCO = 1967 cm-1

Protein Data Bank 1VXC, 2MGKYang and Phillips JMB 1996, 256, 762

1920 1950 1980 1920 1950 1980