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Pump-probe spectroscopy: fast versus slow nuclear dynamics ) , ( ) , ( ) , , ( t R R r t R r n “Born Oppenheimer” approximation: R r m m ) , ( 2 2 ) , ( 2 2 R r U m p m p R r H R R r r stretch motion (fast subsystem): .. 2 , 1 , 0 ), , ( ) ( ) , ( ) , ( 2 2 n R r R E R r R r U m p n n n r r Nuclear Hamiltonian of slow subsy ) ( 2 ~ 2 R E m p H n R R n 2D 1D

Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of

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Page 1: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of

Pump-probe spectroscopy: fast versus slow nuclear dynamics

),(),(),,( tRRrtRr n

“Born Oppenheimer” approximation:

Rr mm

),(22

),(22

RrUm

p

m

pRrH

R

R

r

r

H-O stretch motion (fast subsystem):

...2,1,0),,()(),(),(2

2

nRrRERrRrU

m

pnnn

r

r

Nuclear Hamiltonian of slow subsystem:

)(2

~ 2

REm

pH n

R

Rn

2D

1D

Page 2: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of

Ht

i~

110

010

1

0~

~~

,HV

VHH

L

L

Pump-probe spectroscopy in the framework of BO

),(),(),(),()( 1100 tRRrtRRrt

Pump field )cos()(01 ttEdV LLL

Water Dimer

mixes two lowest OH vibrational states

Probe field: ,, prob Dynamics of femtosecond O-O stretch motion

Page 3: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of
Page 4: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of
Page 5: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of
Page 6: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of

linearnonlinear

Property Toolbox

magnetic

electr

icinternal

external

time-dep

Time-indep

Page 7: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of
Page 8: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of
Page 9: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of
Page 10: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of
Page 11: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of
Page 12: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of
Page 13: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of

a = 13 nm

Dependence of collisional dephasing rate on photon detuning

Homogeneousbroadening

Life-timebroadening

Collisionaldephasing

rate

a = 80 nm

Kenji Kamada measurementsKenji Kamada measurements

Page 14: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of

Example: PRL-101

AM1 geometry/6-31G*/DFT Quadratic ResponseAM1 geometry/6-31G*/DFT Quadratic Response

TPA 1280 GM at 1280 GM at eVeV

Ab initio results:Ab initio results:

Page 15: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of

Non-linear pulse propagation

L = 5 mmL = 5 mm

= 0.1 eV= 0.1 eV

T (1 W/cmT (1 W/cm22) = 0.994) = 0.994

= 140 fsec= 140 fsec

Page 16: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of

Non-linear pulse propagation

Page 17: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of

Non-linear pulse propagation

Exponential decay of red wingExponential decay of red wingof linear absorption profileof linear absorption profile

In case of Lorentzian decay TPAIn case of Lorentzian decay TPAcross section is unrealistically highcross section is unrealistically high

Inhomogeneous broadening of Inhomogeneous broadening of TPA spectra is not consideredTPA spectra is not considered

Page 18: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of

Swedish Defence Nanotechnology Program 2004-11-17

Sensor Protection

Sensor ProtectionProtection against lasers

Page 19: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of

Swedish Defence Nanotechnology Program 2004-11-17

Sensor Protection

The Project Group/Co-Workers

• Dr. Bertil Eliasson, UmU, Sweden

– Marcus Carlsson, PhD student

• Dr. Eva Malmström, KTH, Sweden

– Robert Vestberg, PhD student

– Robert Westlund, PhD student

• Dr. Stephane Parola, UCBL, France

– Marcus Örtenblad, PhD student

Preparation of materials• Prof. Hans Ågren, KTH, Sweden

– Oscar Rubio Pons, PhD student

– Peter Cronstrand, PhD student

• Dr. Patrick Norman, LiU, Sweden

– Johan Henriksson, PhD student

Modeling

Characterization• Prof. Mikael Lindgren, NTNU,

Norway

– Dr Jonas Örtegren, Post Doc

– Eirik Glimsdal, Dipl. Stud

• Dr. Anders Eriksson, FOI, Sweden

• Dr. Cesar Lopes, FOI, Sweden

Optical Equipment design• Dr. Henrik Ludwigs, Saab Tech AB

Page 20: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of

Swedish Defence Nanotechnology Program 2004-11-17

Sensor Protection

Project GoalsDesign and preparation of solid-state materials, with ability to clamp the transmitted energy ≤1 J @ 60% photopic transmission, for protection of eyes, E/O sensors and NVG against µs – ps pulses.

ModelingCharacteriz.

Preparation

• Preparation

• Dendrimers

• Nanohybrid materials

• Solid-state glass materials

• Characterization

• Transmission

• OPL - Clamping

• Mechanisms

• Modeling

• The matrix - influence

• Concentration

• New nanomaterials

Page 21: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of

Swedish Defence Nanotechnology Program 2004-11-17

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• Enhanced chemical, physical and mechanical long term stability

• Enhanced performance

• Environmentally friendly composition

• Shape processability

Synthesis: Precursor

Dendrimer ligand

Synthesis: Precursor

Me-organic compound

Synthesis: Precursor

Nanohybrid material

Preparation

Glass material

Solid-state material Hybrid material Organic matrix

Solid-state material Hybrid material Inorganic matrix

Solid-state optical limiting materials -Hybrid nanocomposites-

Page 22: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of

Swedish Defence Nanotechnology Program 2004-11-17

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Preparation of solid materials• Dendrimers

– Coating– Preparation of solids,

organic matrixAlcohol (EtOH, MeOH) / H2O / Acid (HCl)Alcohol (EtOH, MeOH) / H2O / Acid (HCl)

Si(OR)4 [R = Et, Me],Si(CH3)(OEt)3

Si(OR)4 [R = Et, Me],Si(CH3)(OEt)3

PrecursorsPrecursors

Sol

Gel

Drying

Doped monolithDoped monolith

Aging, polymerization

• Glass materials– Nanohybrid precursors– Class I and II materials

Page 23: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of

Swedish Defence Nanotechnology Program 2004-11-17

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SiNLO function

OROROR

Stable upon hydrolysis

Hydrolysablegroups

Class II nanohybrid materialsClass II nanohybrid materials

+ Si(OR)4

+ H2O Class II solid-state material

Page 24: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of

Swedish Defence Nanotechnology Program 2004-11-17

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Optical characterization• OPL characterization

(standard f/5 set-up)

LASER

ReferensDetector

Beam Splitter L1 L2 L3 DetectorBeam

expander

OPL-material

Attenuation

• Spectroscopy– Optical absorption (UV-VIS and

excited state absorption)– Steady state and time-resolved

luminescense spectroscopy

Page 25: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of

Swedish Defence Nanotechnology Program 2004-11-17

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Sample preparation

Precision saw machine (Isomet 1000) and polishing machine (Logitech PM2)

Page 26: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of

Swedish Defence Nanotechnology Program 2004-11-17

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Results year 1

Pt-Thiacalixarenes50 mM och 12.5 mM

Page 27: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of

Swedish Defence Nanotechnology Program 2004-11-17

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Results year 1Synthesis and characterization of new NLO chromophoresDendrimer capped Pt-aryl-ethynyls – preliminary OPL:

0

2

4

6

8

10

0 50 100 150Input energy ( J )

Out

put e

nerg

y (

J)

Pt1 PtG1 PtG2 PtG3 PtG4

Page 28: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of

Swedish Defence Nanotechnology Program 2004-11-17

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Results year 1

Preparation of solid OPL materials : sol-gel

O

O

O O

O

O

O

O

O O

O

O

O O

OH

OH

O

OOH

OH

O

OH

O

O

OH

OH

O

O

O

O

O

O

HOHO

O

O

HO

HO

O

HO

OO

OHHO

O

O

OO

O

O

HO

HO

O

O

HO

HO

O

HO

O

O

HO

HO

O

O

O

O

O

O

OHOH

O

O

OH

OHO

OH

O

OHO

OH

Boltorn H30

PtP(Bu)3

P(Bu)3 OO

OOO

O

O O

OO

O

O

O

O

OO

OO

O

O

PtG2

Page 29: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of

Swedish Defence Nanotechnology Program 2004-11-17

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Scientific output2003 - 2004

• ~ 25 publications• P. Norman and H. Ågren

”First principles quantum modeling of optical power limiting”J. Comp. Theoretical Nanoscience, 2004 (in press)

• R. Vestberg, A. Nyström, M. Lindgren, E. Malmström and A. Hult ”Encapsulation of porphyrin cores by bis-MPA dendrons”

Chemistry of Materials 16, (2004), 2794

• P. Cronstrand, P. Norman, Y. Luo and H. Ågren”Few states models for three-photon absorption”J. Chem. Phys. 121, (2004), 2020

• R. Vestberg, C. Nilsson, C. Lopes, B. Eliasson and E. Malmström ”Thiophene cored bis-MPA dendrimers for OPL applications”

Journal of Polymer Science Part A: Polymer Chemistry (2004)

• R. Vestberg, A. Eriksson, C. Lopes, M. Lindgren and E. Malmström”Novel dendrimer-capped Pt-acetylides for OPL”SPIE 5621, 2004

Page 30: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of

Porphyrin-cored2,2-bis(methyole)propionic acid

dendrimers

2,2-bis(methylol)propionic acid (bis-MPA) dendrimers have been obtained by the direct addition of bis-MPA dendrons to free-base and Zn-porphyrins.

The growth of dendrimers in the case of Zn-TPP = tetrakis(4-hydroxyphenyl)-porphine = is shown here.

Page 31: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of

Free-base TPP in G3 Zn-TPP in Gx dendrimers

Fluorescence ofdendrimers in THF

No difference in emission for different generations of free base.

For Zn-cored porphyrins the shoulder at 650 nm increases with increasing generation.

Page 32: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of

We have compared dendrimer spectra with FBP and ZnP emission spectra in different solvents and solid matrices and also with IR and Raman spectra (nonresonance and normalRaman). Comparative theoretical study of all these spectra, including simple models of dendrimers (Zn-TPP) at different levels (DFT and AM1)permits us the following explanations

Page 33: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of

This vibration is observed in Raman spectra at 1609 cm-1 and is identified with 1614 cm-1 vibronic 0-1 band in fluorescence (10 of ag type).

It is seen as a shoulder at 720 nm for free-base-TPP fluorescence in G3 dendrimer. It is shifted in TPP to lower frequency.

The band is induced by large FC factor. No Herzberg-Teller contribution (ag)

Page 34: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of

Vibronic shoulder at 660 nm in ZnTPP fluorescence; its intensity increases with dendrimer generation. It is induced by Herzberg-Teller effect

In Zn-P molecule this band is changed in comparison with FBP, since it includes now Zn-N vibrations (asymmetric wagging movement).

This is b2g mode which includes also C-Cm vibrations in methyne bridges.

In Zn-TPP molecule this mode is mixed with the phenyl stretchings. Phenyl rings are out-of-porphpyrin-plane. When they bear bulky dendric MPA-substitutients this strongly influences electronic cloud of the Zn-porphpyrin chromophore

The Herzberg-Teller mechanism now contributes more to intensity of vibronic line.

It influence mixing of the S1(Qx) and the Soret states.

Page 35: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of

Among other low-frequency vibronic bands there is the nu27 = 755cm-1, which also includes the vibrations in methyne bridges and Zn movement.

The similar Herzberg-Teller mechanism contributes to intensity of this vibronic line with growing dendric MPA-substitutients.

It gives additional emission band (two-hump shoulder) in G5 fluorescence

Page 36: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of

This is ullustrated by Zn-TPP vibrations calculated at AM1 level

Page 37: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of

Phosphorescence of free-base porphin and Zn-porphyrin.

The efficient inter-system crossing of porphyrins, which maintain a high concentration of triplet-excited molecules is used now in a wide variety of applications from photodynamic therapy to nonlinear optical devices.

We have explained for the first time the low phosphorescence efficiency of porphyrins without heavy ions by DT DFT calculations.

We have obtained a slow radiative rate constant of the lowest triplet state, 3B2u, of free-base porphin phosphorescence (about 10-3 s-1), which is in agreement with experimental estimations.

Phosphorescence of free-base porphin is determined by emission from the most active Tz spin sublevel, where z-axis coinsides with the N-H...H-N bond direction. It is polarised perpendicular to the molecular plane.

Such a slow radiative decay is very unusual for a molecule wich possesses lone pairs of electrons at nitrogen atoms and a number of excited n* states in the near UV region. It is explained by destructive interference of S-S and T-T contribution.

Page 38: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of
Page 39: Pump-probe spectroscopy: fast versus slow nuclear dynamics “Born Oppenheimer” approximation: H-O stretch motion (fast subsystem): Nuclear Hamiltonian of