Predicting the frequency dispersion of electronic hyperpolarizabilities on the basis of absorption data and thomas-kuhn sum rules

Successfully predicting the frequency dispersion of electronic hyperpolarizabilities is an unresolved challenge in materials science and electronic structure theory. We show that the generalized Thomas-Kuhn sum rules, combined with linear absorption data and measured hyperpolarizability at one or two frequencies, may be used to predict the entire frequency-dependent electronic hyperpolarizability spectrum. This treatment includes two- and three-level contributions that arise from the lowest two or three excited electronic state manifolds, enabling us to describe the unusual observed frequency dispersion of the dynamic hyperpolarizability in high oscillator strength M-PZn chromophores, where (porphinato)zinc(II) (PZn) and metal(II)polypyridyl (M) units are connected via an ethyne unit that aligns the high oscillator strength transition dipoles of these components in a head-to-tail arrangement. We show that some of these structures can possess very similar linear absorption spectra yet manifest dramatically different frequency dependent hyperpolarizabilities, because of three-level contributions that result from excited state-to excited state transition dipoles among charge polarized states. Importantly, this approach provides a quantitative scheme to use linear optical absorption spectra and very limited individual hyperpolarizability measurements to predict the entire frequency-dependent nonlinear optical response. Copyright © 2010 American Chemical Society.

A multiconfigurational time-dependent Hartree-Fock method for excited electronic states. I. General formalism and application to open-shell states

The solution of the time-dependent Schrodinger equation for systems of interacting electrons is generally a prohibitive task, for which approximate methods are necessary. Popular approaches, such as the time-dependent Hartree-Fock (TDHF) approximation and time-dependent density functional theory (TDDFT), are essentially single-configurational schemes. TDHF is by construction incapable of fully accounting for the excited character of the electronic states involved in many physical processes of interest; TDDFT, although exact in principle, is limited by the currently available exchange-correlation functionals. On the other hand, multiconfigurational methods, such as the multiconfigurational time-dependent Hartree-Fock (MCTDHF) approach, provide an accurate description of the excited states and can be systematically improved. However, the computational cost becomes prohibitive as the number of degrees of freedom increases, and thus, at present, the MCTDHF method is only practical for few-electron systems. In this work, we propose an alternative approach which effectively establishes a compromise between efficiency and accuracy, by retaining the smallest possible number of configurations that catches the essential features of the electronic wavefunction. Based on a time-dependent variational principle, we derive the MCTDHF working equation for a multiconfigurational expansion with fixed coefficients and specialise to the case of general open-shell states, which are relevant for many physical processes of interest. (C) 2011 American Institute of Physics. [doi: 10.1063/1.3600397]

A multiconfigurational time-dependent Hartree-Fock method for excited electronic states. II. Coulomb interaction effects in single conjugated polymer chains

Conjugated polymers have attracted considerable attention in the last few decades due to their potential for optoelectronic applications. A key step that needs optimisation is charge carrier separation following photoexcitation. To understand better the dynamics of the exciton prior to charge separation, we have performed simulations of the formation and dynamics of localised excitations in single conjugated polymer strands. We use a nonadiabatic molecular dynamics method which allows for the coupled evolution of the nuclear degrees of freedom and of multiconfigurational electronic wavefunctions. We show the relaxation of electron-hole pairs to form excitons and oppositely charged polaron pairs and discuss the modifications to the relaxation process predicted by the inclusion of the Coulomb interaction between the carriers. The issue of charge photogeneration in conjugated polymers in dilute solution is also addressed. (C) 2011 American Institute of Physics. [doi: 10.1063/1.3600404]

Large amplitude motions in the S1 state of formic acid /

A detailed theoretical investigation of the large amplitude motions in the S, excited electronic state of formic acid (HCOOH) was done. This study focussed on the the S, «- So electronic band system of formic acid (HCOOH). The torsion and wagging large amplitude motions of the S, were considered in detail. The potential surfaces were simulated using RHF/UHF ab-initio calculations for the two electronic states. The energy levels were evaluated by the variational method using free rotor basis functions for the torsional coordinates and harmonic oscillator basis functions for the wagging coordinates. The simulated spectrum was compared to the slit-jet-cooled fluorescence excitation spectrum allowing for the assignment of several vibronic bands. A rotational analysis of certain bands predicted that the individual bands are a mixture of rotational a, b and c-type components.The electronically allowed transition results in the c-type or Franck-Condon band and the electronically forbidden, but vibronically allowed transition creates the a/b-type or Herzberg-Teller components. The inversion splitting between these two band types differs for each band. The analysis was able to predict the ratio of the a, b and c-type components of each band.

Photoacoustic observation of excited singlet state absorption in the laser dye rhodamine 6G

S1 to S3 excited singlet state absorption and two-photon absorption in Rhodamine 6G at the pump wavelengths of 532 and 1064 nm respectively are investigated. The advantages of employing the pulsed photoacoustic technique for conveniently observing excited singlet state absorption are discussed. It is shown that, since photoacoustics and fluorescence are complementary phenomena, analysis using both techniques will yield a better understanding of optical processes in molecules like Rhodamine 6G.

Excited vibrational state microwave spectra, structure, and force-field of trifluorosilane

The J = 2−1 microwave spectrum of six isotopic species of HSiF3 has been observed and assigned in excited states of five of the six fundamental vibrations. The assignment is based on relative intensities, double resonance experiments, and trial anharmonic force constant calculations. Analysis of the spectra leads to experimental values for five of the constants, all three l-doubling constants qt, one Fermi resonance constant φ233, and one zeta constant. The harmonic force field has been refined to all the available data on vibration wavenumbers, centrifugal distortion constants, and zeta constants. The cubic anharmonic force field has been refined to the data on and qt constants, using two models: a valence force model with two cubic force constants for SiH and SiF stretching, and a more sophisticated model. With the help of these calculations, the following equilibrium structure has been determined: re(SiH) = 1.4468(±5) Å, re(SiF) = 1.5624(±1) Å, HSiF = 110.64(±3)°,

Measurement of an Excited Charmonium State and the Study of J/psi Polarization in p plus p Collisions at root s=200 GeV in PHENIX Experiment at RHIC

We report the J/psi -> e(+)e(-) and the psi` -> e(+)e(-) production cross sections in the PHENIX experiment at RHIC. The first measurements of the production cross sections of the psi` and the psi` over the J/psi, will contribute to the clarification of the theoretical understanding of the J/psi meson production. The inclusive J/psi polarization through the same decay channel is also presented, showing a trend of slightly longitudinal polarization for p(T) <5 GeV/c.

The electronic delocalization in para-substituted beta-nitrostyrenes probed by resonance Raman spectroscopy and quantum-chemical calculations

The electronic (UV-vis) and resonance Raman (RR) spectra of a series of para-substituted trans-beta-nitrostyrenes were investigated to determine the influence of the electron donating properties of the substituent (X = H, NO2, COOH, Cl, OCH3, OH, N(CH3)(2), and O-) on the extent of the charge transfer to the electron-withdrawing NO2 group directly linked to the ethylenic (C=C) unit. The Raman spectra and quantum chemical calculations show clearly the correlation of the electron donating power of the X group with the wavenumbers of the nu(s)(NO2) and nu (C=C)(sty) normal modes. In conditions of resonance with the lowest excited electronic state, one observes for X = OH and N(CH3)2 that the symmetric stretching of the NO2. nu(s)(NO2), is the most substantially enhanced mode, whereas for X = O-, the chromophore is extended over the whole molecule, with substantial enhancement of several carbon backbone modes. Copyright (c) 2008 John Wiley & Sons, Ltd.

Fluorescence spectra and ab initio theoretical studies of HCOOH /

A fluorescence excitation spectrum of formic acid monomer (HCOOH) , has been recorded in the 278-246 nm region and has been attributed to an n >7r* electron promotion in the anti conformer. The S^< S^ electronic origins of the HCOOH/HCOOD/DCOOH/DCOOD isotopomers were assigned to weak bands observed at 37431.5/37461.5/37445.5/37479.3 cm'''. From a band contour analysis of the 0°^ band of HCOOH, the rotational constants for the excited state were estimated: A'=1.8619, B'=0.4073, and C'=0.3730 cm'\ Four vibrational modes, 1/3(0=0), j/^(0-C=0) , J/g(C-H^^^) and i/,(0-H^yJ were observed in the spectrum. The activity of the antisymmetric aldehyde wagging and hydroxyl torsional modes in forming progressions is central to the analysis, leading to the conclusion that the two hydrogens are distorted from the molecular plane, 0-C=0, in the upper S. state. Ab initio calculations were performed at the 6-3 IG* SCF level using the Gaussian 86 system of programs to aid in the vibrational assignments. The computations show that the potential surface which describes the low frequency OH torsion (twisting motion) and the CH wagging (molecular inversion) motions is complex in the S^ excited electronic state. The OH and CH bonds were calculated to be twisted with respect to the 0-C=0 molecular frame by 63.66 and 4 5.76 degrees, respectively. The calculations predicted the existence of the second (syn) rotamer which is 338 cm'^ above the equilibrium configuration with OH and CH angles displaced from the plane by 47.91 and 41.32 degrees.

Rotational analysis of the 5 1 0 6 1 0 band of formyl chloride

Please consult the paper edition of this thesis to read. It is available on the 5th Floor of the Library at Call Number: Z 9999 C54 L434 1989

Études spectroscopiques expérimentales et théoriques de complexes de métaux de transition

Cette thèse présente une série d'études qui visent la compréhension de la structure électronique de complexes de métaux de transition en employant diverses méthodes de spectroscopie. L'information sur la structure électronique aide à comprendre et développer des nouveaux matériaux, des nouvelles voies de synthèses, ainsi que des nouveaux modèles théoriques. Habituellement, afin d'explorer la structure électronique d'un système qui comporte en son centre un métal de transition, l'information fournie par les spectres d'un seul composé n'est pas suffisante. On étudie une série de composés similaires, qui ont le même métal de transition à un degré d'oxydation donné, ainsi que des ligands qui forment des liaisons de différentes forces et caractéristiques avec le métal. Cependant, ces changements, bien qu'on les désire de faible impact, créent une grande perturbation de la structure électronique visée par les études. Afin d'étudier en profondeur une seule structure électronique, nous employons une stratégie d'analyse moins perturbante. Nous appliquons une pression hydrostatique sur les complexes de métaux de transition. Cette pression perturbe le système suffisamment pour nous livrer davantage d'informations sur la structure électronique, sans la « dénaturer ». Afin d'étudier précisément ces systèmes perturbés, la technique d'application de pression est conjuguée, dans la littérature, aux diverses techniques de spectroscopie d'absorption UV-visible, de luminescence, ainsi que de diffusion Raman. Pour extraire un maximum d'informations de ces expériences, on emploie des techniques de calculs de structure électronique ainsi que de dynamique des noyaux. Dans cette thèse, on tente de mettre en lumière la structure électronique de composés de molybdène(IV), de platine(II) et palladium(II) à l'aide de la technique de pression couplée aux spectroscopies de luminescence et de diffusion Raman. Dans le chapitre 3, on observe un déplacement de la bande de luminescence de +12 cm-1/kbar entre la pression ambiante et 25 kbar pour le complexe trans-[MoOCl(CN-t-Bu)4]BPh4, dont le centre métallique molybdène(IV)est de configuration électronique 4d2. Il s'agit de la première variation positive observée pour un complexe de type métal-oxo. À des pressions plus élevées, la tendance s'inverse. Le maximum d'énergie de la bande de luminescence se déplace de -8 cm-1/kbar. Ce changement de variation présage d'une compétition interne entre les ligands situés sur les différents axes de l'octaèdre. À l'aide de calculs basés sur la théorie de la fonctionnelle de la densité, on propose un mécanisme pour expliquer ce phénomène. Au cours du chapitre 4, on étudie des complexes de palladium(II) et de platine(II) qui ont les mêmes ligands. Un de ces ligands est le 1,4,7-trithiacyclononane (ttcn). On constate qu'à basse pression le ligand est bidentate. Par contre, lorsque la pression augmente, on constate, par exemple à l'aide du complexe [Pt(ttcn)Cl2], qu'une interaction anti-liante supplémentaire se produit entre le ligand ttcn et le métal, ce qui change la nature de l'orbitale HOMO. On observe un déplacement de la bande de luminescence de -19 cm-1/kbar. Tel que pour le complexe de molybdène(IV), le déplacement de la bande de luminescence dépend de la compétition entre les ligands situés sur les différents axes de l'octaèdre. L'interaction liante entre l'ion platine(II) et l'atome de soufre axial est l'effet le plus plausible qui peut induire un déplacement de la bande de luminescence vers les basses énergies. Ceci nous indique que cette interaction domine. Par contre, pour ce qui est du complexe palladium(II), la compétition est remportée par d'autres effets, car le déplacement de la bande de luminescence est de +6 cm-1/kbar. Encore une fois, des calculs, basés sur la théorie de la fonctionnelle de la densité, aident à explorer les causes de ces observations en suggérant des explications corroborées simultanément par les diverses expériences de spectroscopie. Lors du chapitre 5, une étude plus exacte de la structure électronique ainsi que de la dynamique des noyaux de complexes de métaux de transition est présentée. En effet, les complexes de palladium(II) et de platine(II), de type [M(X)4]2-, ont une structure simple, très symétrique. Le premier état excité de ces molécules subit la distorsion Jahn-Teller. On veut établir un protocole de travail pour les expérimentateurs afin d'analyser des spectres de molécules pour lesquelles l'approximation de Born-Oppenheimer n'est pas valide. On utilise la théorie de la fonctionnelle de la densité dépendante du temps ainsi que le modèle de Heidelberg afin de décrire des effets non adiabatique. On tente d'établir l'influence des effets non adiabatiques sur les spectres de ce type de complexe.

Femtosecond time-resolved wave packet motion in molecular multiphoton ionization and fragmentation

The dynamics of molecular multiphoton ionization and fragmentation of a diatomic molecule (Na_2) have been studied in molecular beam experiments. Femtosecond laser pulses from an amplified colliding-pulse mode-locked (CPM) ring dye laser are employed to induce and probe the molecular transitions. The final continuum states are analyzed by photoelectron spectroscopy, by ion mass spectrometry and by measuring the kinetic energy of the formed ionic fragments. Pump-probe spectra employing 70-fs laser pulses have been measured to study the time dependence of molecular multiphoton ionization and fragmentation. The oscillatory structure of the transient spectra showing the dynamics on the femtosecond time scale can best be understood in terms of the motion of wave packets in bound molecular potentials. The transient Na_2^+ ionization and the transient Na^+ fragmentation spectra show that contributions from direct photoionization of a singly excited electronic state and from excitation and autoionization of a bound doubly excited molecular state determine the time evolution of molecular multiphoton ionization.