SKKU-EMBO conference
JUNE 25, 2016
Minhaeng Cho
IBS Center for Molecular Spectroscopy and Dynamics (CMSD), Department of Chemistry, Korea University
APPLICATIONS OF COHERENT MULTIDIMENSIONAL SPECTROSCOPY
Eadweard Muybridge (1887) U LTIMATE G OAL Spectroscopy for M - - PowerPoint PPT Presentation
A PPLICATIONS OF C OHERENT M ULTIDIMENSIONAL S PECTROSCOPY SKKU-EMBO conference JUNE 25, 2016 Minhaeng Cho IBS Center for Molecular Spectroscopy and Dynamics (CMSD), Department of Chemistry, Korea University S CIENTIFIC R EVOLUTION & P
SKKU-EMBO conference
JUNE 25, 2016
Minhaeng Cho
IBS Center for Molecular Spectroscopy and Dynamics (CMSD), Department of Chemistry, Korea University
APPLICATIONS OF COHERENT MULTIDIMENSIONAL SPECTROSCOPY
Scientific Developments
Theoretical Experimental
Newton’s Mechanics Quantum Mechanics The theory of evolution X-ray diffraction Nuclear magnetic
resonance (NMR)
LASER (MASER) Novel concepts Different and generalized
viewpoints
Novel tools Observations of
the unseen Freeman Dyson (1923 ~) Physicist
Study (IAS,Princeton)
A Novel Experimental Tool! Multi-dimensional optical and chiral spectroscopy
Electromagnetic Wave Amplitude (Intensity), Frequency, and Phase Field-Matter Interaction-Induced Changes in EMW Properties Structure and Dynamics of Complex Molecular Systems
Eadweard Muybridge (1887)
“The movements of participants in molecular dramas can be recorded in vivid detail, using coherent multidimensional spectroscopy”
ULTIMATE GOAL
Spectroscopy for “MOLECULAR MOTION PICTURE”
Femtosecond (10-15 s) multidimensional vibrational/electronic spectroscopy
ULTRASMALL (10-10 m) AND(!) ULTRAFAST (10-15 s)
ULTRAHIGH SPATIAL RESOLUTION AND(!) ULTRAFAST TIME-RESOLUTION
Researchers use a variety of tools to probe protein function and interactions, with drug discovery the major goal One of seven research fields in 21C “Large-scale protein folding and 3-D structure studies” X-ray crystallo- graphy 2D-NMR Advantages Restrictions High spatial (atomic) resolution Solution sample Molecular crystal & Low time- resolution Low time- resolution
Protein Structure Determination: Conventional Tools Advantage and Limitation
Cho and coworkers, Phys Chem Chem Phys (review) 10, 3839 (2008)
2D CP-PE spectrum of FMO light-harvesting protein complex
OLD PARADIGM: STRUCTURE NEW PARADIGM: DYNAMICS
Brief historical accounts
Nonlinear optical spectroscopy: Long history since Bloembergen, Shen,… 4WM: Ippen, Shank, Fleming, Wiersma, Warren, Albrecht, Mukamel, Skinner, Cho, etc.
In 1981, Warren, W. S.; Zewail, A. H., Optical analogs of NMR phase coherent multiple pulse spectroscopy,
Fifth-order electronic spectroscopy: Cho & Fleming, J. Phys. Chem. (1994) Fifth-order Raman (vibrational) spectroscopy: Tanimura & Mukamel, J. Chem. Phys. (1993) Complicated due to undesired contributions and weak signals. Not successful
Spectral interferometry of photon echo: Jonas, Chem. Phys. Lett (1998) 2D elec. spectroscopy of photo-synthetic complex: Cho, Fleming et al, Nature (2005)
2D IR-IR-vis spectroscopy: Cho, J. Chem. Phys. (1998) (theoretical) DOVE-IR: Wright, J. Am. Chem. Soc. (1999) (experimental)
IR photon echo: Fayer & coworkers (1993) etc. (using a free electron laser) 2D IR pump-probe: Hamm, Lim, & Hochstrasser, J. Phys. Chem. (1998) Experiments: Hochstrasser, Hamm, Tokmakoff, Zanni, etc. Theory: Cho, Mukamel, Skinner, Jansen, Knoester, Stock,etc. Cho, Two-dimensional optical spectroscopy, CRC press (2009)
Q1-mode Q2-mode Vibrational energy relaxation (dissipation) Vibrational phase relaxation (dephasing) Vibrational coupling
C O H N Q1 Q2
C O N H CH CH3 C O N H C C H H
Nuclear spin 2 Nuclear spin 1
J
J
COSY-NMR NOESY-NMR Connectivity between different atoms Coherent 2D vib. Spectroscopy Connectivity between different vibrational chromophores (groups)
2D NMR 2D Vib. Spec. 2D NMR & 2D Vibrational Spectroscopy Vibrational coupling versus Spin-spin coupling
and Spectroscopy, vol.12, page 229 (1999) (Review Article)
Why coherent multidimensional (IR, Raman, electronic, IR-vis, etc.) spectroscopy?
1.TIME RESOLUTION
~10-15 (2D optical spect.) vs ~10-6 (2D NMR)
~ N (1D) ~ N2 (2D) ~ Nd (d-dimensional spectroscopy)
2D OPTICAL (VIB./ELEC.) SPECTROSCOPY
transition (electric and/or magnetic) dipoles (Chiral or achiral) Molecular Structure
discrete states induced by chemical exchange processes Chemical Kinetics
by electronic couplings State-to-state quantum transition & connectivity
Definition of density operator Quantum mechanical Liouville equation Hamiltonian consisting of zero-order (mol.+rad.) and perturbation (rad.-mol. interaction) term Time-evolution operator in Liouville space (time-dependent perturbation theory) Third-order polarization induced by nonlinear (3rd-order) radiation-matter interactions
TIME-DOMAIN NONLINEAR SPECTROSCOPY: Theoretical Consideration
( ) | ( ) ( ) | t t t ˆ ( ) [ ( ), ( )] ( ) ( ) i i t H t t L t t t ˆ ˆ ˆ ( ) ( ) ( )
I
H t H t H t
( , ) exp ( )
t t
i V t t d L
+ = |m><n| |m><n| |m><n| = |m><n|
+ = + = + +
+ = + + + + + +
ˆ
(t0) P(3)(t) =
< >
N
Signal field
ELO Esig+ELO
Sample
js
X Y Z
T j1 j2 j3 k2 k3 k1
k2 k3 k1 LO Half-wave Plate Polarizer Beam Splitter Mirror tr MCT Array Detector
fs IR pulse
S
Polarization-Angle-Scanning 2D Spectroscopy
τ
T
t
i t
t e
ω
g e
t e
i t
t e
t
ω
g e
g
e
ρ t
ABSORPTION FREQUENCY EMISSION FREQUENCY
t
SIGNAL Recovered from Experiment
3 ( , , )
S T t
Time
Coherent 2D Optical Spectroscopy
Spectral interferometry for heterodyne-detection
τ
T
t
i t
t e
ω
g e
t e
i t
t e
t
ω
g e
g
e
ρ t
Excitation Frequency Emission Frequency
t
SIGNAL Recovered from Experiment
3 ( , , )
S T t
Time
Coherent 2D Optical Spectroscopy
Spectral interferometry for heterodyne-detection
t g
Shutter Speed Exposure Time
Time-resolved two-dimensional spectroscopy is useful to measure correlation between two observables, e.g., transition frequencies, separated in time, which in turn provide information on spatial connectivity between chromophores, i.e., structure, and coupling. ; t0 tT, t ; t0
2D ELECTRONIC SPECTROSCOPY
Two coupled oscillators (Q1 & Q2)
FT2
2 1 1 1
( ) ( ) ( ) (0) t t t t
2D SPECTROSCOPY
2 1
1 2
( , ; ) I Time
t1 t2 2-D spectrum
Jeon et al, Acc. Chem. Res. (2009)
COUPLING CROSS PEAKS!?
Negatively Correlated Spectral Motion Positively Correlated Spectral Motion
j k
j k
FMO (Fenna-Matthews-Olson) Photosynthetic Complex (CMC2)
1 2 3 4 5 6 7
1 2 3 4 5 6 7 Exciton LevelAllen and coworkers
271, 456±471 A model of the position of the cofactors of the BChl a protein and reaction center in the cell membrane.
Diagonal peaks GB+SE with Gjj(T)
QUANTUM INTERFERENCE
Off-diagonal peaks GB Off-diagonal peaks SE with Gjk(T) Off-diagonal peaks EA with Gjj(T) Off-diagonal peaks EA with Gjk(T) Total spectrum at T=1000 fs
(+) (+) (+) (-) (-)
(d) (e) (f) (a) (b) (c)
(cm-1) (cm-1)
Diagonal peaks GB+SE with Gjj(T)
QUANTUM INTERFERENCE
Off-diagonal peaks GB Off-diagonal peaks SE with Gjk(T) Off-diagonal peaks EA with Gjj(T) Off-diagonal peaks EA with Gjk(T) Total spectrum at T=1000 fs
(+) (+) (+) (-) (-)
(d) (e) (f) (a) (b) (c)
(cm-1) (cm-1)
Numerically simulated 2D spectra
t
(cm-1) (cm-1)
Two-dimensional spectroscopy
photosynthesis
100 fs < Waiting Time (T) < 2000 fs
Time 100 fs 200 fs 300 fs 600 fs 1000 fs
COUPLINGS Ex. TRANSFER
Nature 434, 625 (2005)
WHAT DID WE LEARN FROM 2D ELECTRONIC SPECTROSCOPY OF FMO LIGHT-HARVESTING COMPLEX?
visible directly by measuring 2D femtosecond photon-echo spectra (Amplitudes of cross peaks)
transport (Energy transport through space with tens of nanometer spatial resolution and femtosecond temporal resolution)
STRUCTURE AND DYNAMICS 2D vibrational or electronic spectroscopy
C O N H CH3 H3C H O Me O H Me C O N H CH3 H3C H O Me H O Me O H Me
CH3-CN CHCl3
+ − + −
Ion pairing dynamics ubiquitin FMO complex hairpin
-sheet polypeptides
Hahn et al., J. Chem. Phys. 123, 84905 (2005)
Anti-parallel and prallel -sheets:
spectroscopically distinguishable?
Hahn, et al. J. Chem. Phys. 123, 84905 (2005)
1620 1660 1700 1620 1660 1700 1620 1660 1700
0.02
1/2c(cm
3/2c(cm
C O N H C O N H C O N H C O N H C O N H C O N H C O N H C O N H C O N H C O N H C O N H C O N H Antiparallel -Sheet
C O N H C O N H C O N H C O N H C O N H C O N H C O N H C O N H C O N H C O N H C O N H C O N H
Parallel -Sheet
2 2 2
sin
kj k j jk
S
2D Difference Spectrum ZZZZ-3ZXXZ Cross peak intensity
Amyloid Aggregate Structure?
Middleton et al. Nature Chem. (2012)
Various DNA double helical structures
Spectroscopic probing of BZ or BA transitions in real time?
(a) A-DNA : (GC)3 (b) B-DNA : (GC)3 (c) A-DNA : (GC)4
2.9Å 3.4Å 4.1Å 3.5Å
A-DNA B-DNA Z-DNA
Lee et al. J. Chem. Phys. 126, 145102 (2007)
1D and 2D IR spectra of (GC)n
(numerical simulation results)
(a)
ωt
(b)
ωt
(c)
ωτ ωt
A-DNA B-DNA Z-DNA
IR PROBE + time-RESOLVED IR SPECTROSCOPY
Molecular Chirality in Motion
Building blocks of proteins
Myoglobin NTL-9 Met1Aha NTL-9 Ile4Aha
Chiral molecules: Optical activity
A chiral molecule is a type of molecule that lacks an internal plane of symmetry and thus has a non-superimposable mirror image.
FMO Complex PROTEINS OF INTEREST
Optical Rotation
j
Optical rotatory dispersion (ORD) measurement
Linear Polarizer Chiral Sample Detector
A brief historical account on optical rotation
two different structures (optical isomers!)
neighbors tetrahedral structure three-dimensional nature of molecules
Analyzer
( ) j
frequency-dependent
ORD CD ORD + CD
ORD measures difference in birefringence for LCP and RCP fields passing through chiral medium CD measures difference in absorption of LCP and RCP fields by chiral molecules Optical activity of chiral molecular systems refers to both ORD and CD, which are related to each other via Kramers-Kronig relation. INCIDENT TRANSMITTED
nLCP ≠ nRCP κLCP ≠ κRCP
femtosecond Linear Chiroptical Activity Measurement Chiral spectroscopy
Conventional approach: Differential absorption measurement using left- and right-handed helical (Left- and Right-CP) E-fields In 2005, I had a series of questions that are….
Background noise problem A/A ~ 10-3 – 10-6
Q) Is it always necessary to use chiral (left- or right-handed) fields to characterize molecular chirality? (Traditional Approach based on Intensity Mesurement) A) Not necessarily Q) Then, how is it possible to characterize certain handed molecule with non-chiral field? A) Spectrometer or detection scheme should be chiral! (New Approach based on Phase-Amplitude Measurement) Q) Can a femtosecond linearly polarized pulse (non-chiral field) be used to determine molecular chirality? A) Yes!
Vertical LP (VLP) Horizontal LP (HLP) Transverse EM wave: Two linear polarization states of electric field (E-field)
VLP and HLP of the transverse E-field propagating in a vacuum or an isotropic medium with achiral molecules are UNCOUPLED! (from Maxwell equation) e.g., VLP into a glass of water, VLP out with zero HLP Q) What happens when VLP passes through a sugar solution?
VLPin |HLPout|2/|VLPout|2 = 10-4 k
HLPout is generated by the radiation-matter interaction of chiral molecules with VLPin. VLP and HLP become COUPLED! (from Maxwell equation) (A Cause-and-Effect phenomenon) What are the cause and the effect in this case? Cause: Magnetic field-magnetic dipole interaction Effect: Electric field-electric dipole interaction-induced E-field What is the connection (linear response) function?
Chiral Solution E(t) B(t)
How to separately measure HLP (E) and VLP(EII) electric fields?
After solving the coupled Maxwell equation, which is
2 2 2 2 2 2 2
1 4 ( , ) ( , ) ( , ) z t z t z t c t c t E E P
2 2 2 || 2 2 2 2
1 4 ( , ) ( , ) ( ) ( , ) ( ) ( , ) 2 2
t t xx xx m
iN N E z t E z t d t E z d t E z c t c t V V
( , ) E z t
For , we have a coupled differential equation:
Rhee et al. J. Chem. Phys (2008)
Determination of absolute CD and ORD values
CHIRAL susceptibility is a complex function, and
( ) ( ) ( )
L R
' "
( ) ( ) i
circular birefringence (CB)
'
2 ( ) ( ) ( ) n n
''
4 ( ) ( ) ( )
a
n c
circular birefringence (ORD) differential absorption coefficient (CD) circular dichroism (CD)
PHASE, PHASE, PHASE!
Experimental setup: Single-Shot Electronic CD/ORD Ultimate sensitivity: Single pulse measurement!
For the success of ultrasensitive measurements (1) Quasi-null (perpendicular polarizer) geometry (2) Heterodyne detection (3) Self-referencing technique
Phase and Amplitude Measurements
Mach-Zehnder Interferometry
What are experimentally measured? Spectral interferogram (interference signal between signal E and reference E and
( ) S
|| ( )
S
Rhee et al, Nature (2009), JOSA (2009), ChemPhysChem (2010)
( ) E
|| ( )
E
and Well-known transformation
THOMAS YOUNG’S EXPERIMENT
MODIFICATION OF YOUNG’S DOUBLE-SLIT EXPERIMENT! What if a chiral molecule is placed at one of the two slits?
Molecular Chirality versus Optical Chirality
Molecular Chirality, Optical Activity and Rotatory Strength
Im( ) μ m R
Q) What is the corresponding (chiral) property of electromagnetic field?
Optical Chirality (initially considered by Lipkin (1960’s) as one of Zilches
1 ( ) ( ) 2 2 E E B B C
2 B E E B
*
Im 2 E B
*
4Im( )Im A A A
μ m E B
Q) What is the difference in the rates of absorption with (+) and (-)-handed electromagnetic fields?
Single-shot Electronic Optical Activity Interferometry
DNA-templated helical cyanine dye assembly
1 2 3 4Face-to-Face Dimer Tetramer 1 2 3 4
ips = 3.6 Å shift = 2.4 Å dist = 18.5 Å
Induced Optical Activity of DNA-Templated Cyanine Dye Aggregates: Exciton Coupling Theory and TD-DFT Studies Classical MD simulation
Initial Structure: NUCGEN routine in AMBER Force Field: ff09 + TIP3P (300K) Equilibration: 5 ns NVT Simulation: 20 ns NPT
QM calculation
Induced Optical Activity of DNA-Templated Cyanine Dye Aggregates
TD-DFT
Functional (nm) (nm) (nm) B3LYP 478 (-3214) 506 (4856)
CAM-B3LYP 458 (-4054) 490 (4011) 517 (564) 32 PBE0 469 (-3588) 497 (4820)
LC-ωPBEh 451 (-2702) 484 (4071)
M05-2X 458 (-4325) 481 (4232) 520 (608) 23 M06-2X 467 (-3453) 490 (5153) 532 (510) 24
Experimental 588 607 ~670 19
1
1
2
(tetramer)
1
ˆ ˆ ˆ
N l l
H H V
1 2 1 2 12
ˆ ˆ ( ) ( ) 1 ˆ 2
N N l m l m l
V d d r
r r r r (1 ) (1 , )
lm lm l lm lm
H E V l m N
Electronic coupling constant
1 2 1 2 12
( ) ( )
eg ge l m lm
V d d r
r r r r
HOMO LUMO
V13 = V24: Face-to-Face Coupling
Coupling constants (cm-1): TDC, TrESP and FED methods
Basis sets used: 6-311++G(2df,2pd) (6-31+G(d,p))
Wavelength (nm)
500 550 600 650 700
CD (Measured )
600 300
6000 3000
CD (Calculated )
400 450 500 550
Experimental TDDFT/CAM-B3LYP Frenkel Exciton x3
200
ORD (Measured )
Wavelength (nm)
500 550 600 650 700 400 450 500 550 2000
ORD (Calculated )
Experimental TDDFT/CAM-B3LYP Frenkel Exciton x3
23000 22000 21000 20000 19000 18000 17000 16000 15000 H1 → L1 H1‒H3 → L1‒L3 450 550 600 500 650 H → L H1‒H3 → L1+L3 H1 → L1 H1+H3 → L1‒L3 H3 → L3 H3 → L3 H2+H4 → L2‒L4 H2+H4 → L2+L4 Monomer Dimer Tetramer H2‒H4 → L2‒L4 H1‒H3 → L1+L3 H2‒H4 → L2+L4
2
ˆ Im ( )
V K K
e R K K m E E m
Numerical Simulations: CD and ORD spectra
2 2 2 2( ) ( ) 2 2
( ) ( ) ( ) 2 erfc erfc 3 2 2
K K K KL R K K K K K K K
i R e i e i
Yoo et al., Phys. Rev. B 89, 161505 (2014)
*
Im 2 C E B
2 0 / CPL
C E c
Double Fishnet Negative-Index Metamaterial
/
CPL
C C
Distributions of Elec. And Mag. Fields, and Enhancement Factor
Top view Side view 1st magnetic resonance at 892 nm 2nd magnetic resonance at 682 nm Top view Side view Enhancement Factor
Volume-Averaged Optical Chirality: Size-dependence
Yoo et al., Phys. Rev. B 89, 161505 (2014) Non-chiral negative-index metamaterials can be used to generate the enhanced chiral fields via simultaneous excitation
longitudinal direction. Useful chiroptical spectroscopy The bridging of chiroptical spectroscopy and photonic metamaterials, two distinct disciplines of optics, will offer new possibilities for applications of negative- index metamaterials in the future.
WHA WHAT T IS IS NEXT? NEXT?
Optical Activity (Chiroptical) Spectroscopy
(Sensitive to Molecular Chirality)
+ Multi-Dimensional Optical Spectroscopy
(Enhanced Spectral and Time Resolution)
Multi-Dimensional Chiroptical Spectroscopy
2D Circular Dichroism? 2D Optical Rotatory Dispersion? 2D Raman Optical Activity?
Circularly polarized photon echo Nonlinear optical activity (CD or ORD) spectroscopy
τ
T
t
SIGNAL
Time
Conventional (linearly polarized) photon echo
R L
Z Z Z Z Z Z Z
Z Z Z
12000 12300 12600
CD spectra
Frequency (cm
Experiment
7 6 5 4 3 2 1 7 6 5 4 3 2 1
Absorption
6 K 77 K
1 2 3 4 5 6 7
1 2 3 4 5 6 7 Exciton LevelFenna-Matthews-Olson LH protein complex
12000 12350 12700
1
( ) cm
2D photon echo spectrum of FMO light- harvesting complex
(Experimentally Measured)
Absorption Absorption
t
T
w = 1 ps
12000 12350 12700
1
( ) cm
t
A B
2D Circularly polarized photon echo spectrum
(No experiment yet)
Absorption Circular dichroism
Choi et al. PCCP (2008) Cho et al. J. Phys. Chem. B (2005) and Nature 434, 625(2005)
Cho, Two-dimensional optical spectroscopy, CRC press (2009)
Circularly Polarized Sum-Frequency- Generation
116, 1562 (2002) 2D Circularly Polarized Pump-Probe (2D CP-PP) (Nonlinear CD and ORD)
119, 7003 (2003) 2D Circularly Polarized Photon Echo (JCP 2006 & PCCP 2008) 2D Sum-Frequency- Generation Spectroscopy (Chem Phys 2008) etc…
Theoretical
Nanosecond temperature-jump with an intense IR pulse initiates non- equilibrium relaxation of biomolecules (unfolding/folding), which is monitored by using 2DIR or femtosecond CD (ORD) spectroscopic method Excitation of OD stretch
= 2.0 m (D2O) → fast energy dissipation → local heating
TEMPERATURE-JUMP 2DIR OR fs-CD PROBE
Probing conformational transition of proteins
HOW TO (T-JUMP)?
TEAM MEMBERS, COLLABORATORS, & ACKNOWLEDGMENTS
RESEARCH FELLOWS
Former postdoc. and grad. students:
COLLABORATORS Hogyu Han(Korea U), Hanju Rhee(KBSI), G. R. Fleming(Berkeley),
and so on. FUNDS: INSTITUTE FOR BASIC SCIENCE (IBS), KOREA GRADUATE STUDENTS Joo-Yong Lee Michal Maj Bartosz Blasiak Joon-Hyung Lim So-Hee Lim Hyung-Ran Choi
E-Hyun Lee Jun-Young Park Do-Yeon Kim Min-Seok Kim
Thank you