Doctor of Philosophy / Department of Physics / Vinod Kumarappan / In this thesis, our work on developing new techniques to measure and enhance field-free molecular alignment and orientation is described. Non-resonant femtosecond laser pulses are used to align and orient rotationally-cold gas-phase molecules. The time-dependent Schrodinger equation is solved to simulate the experimental results. A single-shot kHz velocity map imaging (VMI) spectrometer is developed for characterizing 1D and 3D alignment. Stimulated by a novel metric for 3D alignment proposed by Makhija et al. [Phys. Rev. A 85,033425 (2012)], a multi-pulse scheme to improve 3D alignment is demonstrated experimentally on difluoro-iodobenzene molecules and the best field-free 3D alignment is achieved. A degenerate four wave mixing probe is developed to overcome limitations in VMI measurement; experiments on different types of molecules show good agreement with computational results. Highly aligned linear molecules are used for high harmonic generation experiments. Due to the high degree of alignment, fractional revivals, variation of revival structure with harmonic order and the shape resonance and Cooper minimum in the photoionization cross section of molecular nitrogen are all observed directly in experiment for the first time. Enhanced orientation from rotationally cold heteronuclear molecules is also demonstrated. We follow the theory developed by Zhang et al. [Phys. Rev. A 83, 043410 (2011)] and demonstrate experimentally for the first time that for rotationally cold carbon monoxide an aligning laser pulse followed by a two-color laser pulse can increase field-free orientation level by almost a factor of three compared to using just the two-color pulse.

Doctor of Philosophy / Department of Physics / Vinod Kumarappan / In general, molecules in the gas phase are free to rotate, and measurements made on such samples are averaged over a randomly oriented distribution of molecules. Any orientation dependent information is lost in such measurements. The goal of the work presented here is to a) mitigate or completely do away with orientational averaging, and b) make fully resolved orientation dependent measurements. In pursuance of similar goals, over the past 50 years chemists and physicists have developed techniques to align molecules, or to measure their orientation and tag other quantities of interest with the orientation. We focus on laser induced alignment of asymmetric top molecules. The first major contribution of our work is the development of an effective method to align all molecular axes under field-free conditions. The method employs a sequence of nonresonant, impulsive laser pulses with varied ellipticities. The efficacy of the method is first demonstrated by solution of the time dependent Schr\"{o}dinger equation for iodobenzene, and then experimentally implemented to three dimensionally align 3,5 difluoroiodobenzene. Measurement from molecules aligned in this manner greatly reduces orientational averaging. The technique was developed via a thorough understanding and extensive computations of the dynamics of rotationally excited asymmetric top molecules. The second, and perhaps more important, contribution of our work is the development of a new measurement technique to extract the complete orientation dependence of a variety of molecular processes initiated by ultrashort laser pulses. The technique involves pump-probe measurements of the process of interest from a rotational wavepacket generated by impulsive excitation of asymmetric top molecules. We apply it to make the first measurement of the single ionization probability of an asymmetric top molecule in a strong field as a function of all relevant alignment angles. The measurement and associated calculations help identify the orbital from which the electron is ionized. We expect that this technique will be widely applicable to ultrafast-laser driven processes in molecules and provide unique insight into molecular physics and chemistry.

Methods of controlling molecular rotations using linearly polarized femtosecond and picosecond pulses are considered and analyzed theoretically. These laser pulses, typically in the infrared, are highly non-resonant with respect to the electronic degrees of freedom of the molecules and have intensities of &sim; 10^13 to 10^14 W/cm&sup2;. It is shown how these laser pulses can force small linear molecules to align with the direction of the electric field vector of the laser both in the presence of the laser field as well as after the application of a short laser pulse. Recent experiments on laser-induced molecular alignment are modeled and excellent agreement between experiment and theory is found. Additional methods of controlling molecular rotational dynamics are outlined. The first method considers the forced rotational acceleration of diatomic molecules, called the <i>optical centrifuge</i>. Here, the direction of polarization of a linearly polarized laser field is made to smoothly rotate faster and faster. The molecules, which tend to align with the polarization vector of the laser field, follow the rotation of the laser polarization and are accelerated to high angular momentum. The second method considers the control of field-free rotational dynamics by applying phase shifts to the molecular wave function at select times called <i>fractional revivals</i>. At these select moments, an initially localized wave function splits into several copies of the initial state. Adding phase shifts to the copies then induces interference effects which can be used to control the subsequent evolution of the rotational wave function. This same control scheme has a close link to quantum information and this connection is outlined. Finally, a recently proposed method of controlling the quantum dynamics of the classically chaotic kicked rotor system [J. Gong and P. Brumer, Phys. Rev. Lett. 86, 1741 (2001)] is analyzed from a phase space perspective. It is shown that the proposed quantum control can be linked to small islands of stability in the classical phase space. An experimentally feasible variant of this control scenario using wave packets of molecular alignment is proposed. Two applications of molecular alignment are discussed. The first application uses field-free aligned molecules as a non-linear medium for compression of a laser pulse to the 1 fs regime at optical wavelengths. At such durations, these laser pulses contain nearly a single oscillation of the electric field and represent the shortest laser pulses physically achievable for such frequencies. The second application uses molecular alignment to create a sort of gas phase "molecular crystal" which forms a basis for laser-induced electron diffraction and imaging of the aligned molecules. Here, a first laser pulse aligns the molecules in space. A second laser pulse is then used to ionize outer-shell electrons, accelerate them in the laser field, and steer them back to collide with the parent ion creating a diffraction image with sub-femtosecond and sub-Angstrom resolution.

Methods of controlling molecular rotations using linearly polarized femtosecond and picosecond pulses are considered and analyzed theoretically. These laser pulses, typically in the infrared, are highly non-resonant with respect to the electronic degrees of freedom of the molecules and have intensities of &sim; 10^13 to 10^14 W/cm&sup2;. It is shown how these laser pulses can force small linear molecules to align with the direction of the electric field vector of the laser both in the presence of the laser field as well as after the application of a short laser pulse. Recent experiments on laser-induced molecular alignment are modeled and excellent agreement between experiment and theory is found. Additional methods of controlling molecular rotational dynamics are outlined. The first method considers the forced rotational acceleration of diatomic molecules, called the <i>optical centrifuge</i>. Here, the direction of polarization of a linearly polarized laser field is made to smoothly rotate faster and faster. The molecules, which tend to align with the polarization vector of the laser field, follow the rotation of the laser polarization and are accelerated to high angular momentum. The second method considers the control of field-free rotational dynamics by applying phase shifts to the molecular wave function at select times called <i>fractional revivals</i>. At these select moments, an initially localized wave function splits into several copies of the initial state. Adding phase shifts to the copies then induces interference effects which can be used to control the subsequent evolution of the rotational wave function. This same control scheme has a close link to quantum information and this connection is outlined. Finally, a recently proposed method of controlling the quantum dynamics of the classically chaotic kicked rotor system [J. Gong and P. Brumer, Phys. Rev. Lett. 86, 1741 (2001)] is analyzed from a phase space perspective. It is shown that the proposed quantum control can be linked to small islands of stability in the classical phase space. An experimentally feasible variant of this control scenario using wave packets of molecular alignment is proposed. Two applications of molecular alignment are discussed. The first application uses field-free aligned molecules as a non-linear medium for compression of a laser pulse to the 1 fs regime at optical wavelengths. At such durations, these laser pulses contain nearly a single oscillation of the electric field and represent the shortest laser pulses physically achievable for such frequencies. The second application uses molecular alignment to create a sort of gas phase "molecular crystal" which forms a basis for laser-induced electron diffraction and imaging of the aligned molecules. Here, a first laser pulse aligns the molecules in space. A second laser pulse is then used to ionize outer-shell electrons, accelerate them in the laser field, and steer them back to collide with the parent ion creating a diffraction image with sub-femtosecond and sub-Angstrom resolution.

In this thesis, an experimental and theoretical study of two and three vector correlations in the inelastic scattering of NO(X) with various rare gas atoms is presented. Vector correlations for a selection of rare gas systems were determined experimentally, and the observations were interpreted using a variety of classical and quantum mechanical models. The experiment is able to provide state-to-state resolution of the dynamics by means of an electrostatic hexapole and 1+1' resonantly enhanced multi-photon ionisation (REMPI). The simplest vector correlation of interest is the differential cross section (DCS), given by the <b>k</b>-<b>k</b>' correlation. The DCSs were determined experimentally for the NO(X)--Kr and NO(X)--Xe collision systems, both characterised by the relatively deep (&asymp;140cm^-1) attractive well and large extent of the attractive potential. The agreement between the experimental angular distributions and quantum mechanical DCS is very good for both systems. Classical calculations fail to correctly reproduce the form and magnitude of the DCS for either system, reflecting the inherently quantum mechanical nature of the collision. The classical calculations do however provide mechanistic insight into regions where the attractive part of the potential plays an important role in determining the dynamics. In order to investigate narrow angular features in the forward scattered direction, several experimental improvements to molecular beams and the detection ion-optic stack were made. Investigation into these structures revealed a strong contribution from molecular diffraction into the classical shadow of the NO(X), and the simple Fraunhofer model revealed a preference for scattering from an individual m&rarr;m' sub-state. Such measurements are in a region of the DCS where scattering is forbidden classically, and reveal the purely quantum nature of the collision interaction in the forward scattered direction. The low order <b>k</b>-<b>k</b>' correlation was then extended by using linearly or circularly polarised laser excitation. The interaction of the light with the molecular dipole allows the measurement of the <b>k</b>-<b>k</b>'-<b>j</b>' correlation. When linearly polarised light was used for the excitation laser, two of the rank two p^{2}_q(&theta;) renormalised polarisation dependent differential cross sections (PDDCSs), which describe rotational alignment, were obtained. With circularly polarised light, the rank one p^{1}_1-(&theta;) renormalised PDDCSs describing rotational orientation were determined. The collision induced alignment in NO(X)--Xe scattering was found to be well reproduced by classical and impulsive theories, highlighting the fact that the alignment is dominated by the propensity for the projection of <b>j</b> onto the kinematic apse to be conserved. The attractive part of the potential does augment the alignment renormalised PDDCSs, and this is most evident in states with strong features of the attractive part of the potential such as ℓ-type rainbows. The orientation is more strongly influenced by the attractive part of the potential and is also influenced by parity. In addition to the parity effect, there exist two limiting classical mechanisms which govern the orientation, one caused by attraction and the other repulsion. Finally, the bond axis of the NO(X) can be oriented by means of hexapole state selection combined with adiabatic orientation using a set of guiding rods. The integral steric effect, an <b>r</b>-<b>k</b> correlation, was measured for the NO(X)--Kr and NO(X)--Ar spin-orbit changing systems. There are large oscillations in the sign of the steric asymmetry which occur for scattering with the various rare gases. There are also large differences between the rare gases as the potentials become more attractive, and more isotropic. The steric asymmetry is well reproduced by quantum mechanics, however, a classical mechanism becomes dominant at high &Delta;j.

Among the myraid energy storage technologies, polymer electrolytes have been widely employed in diverse applications such as fuel cell membranes, battery separators, mechanical actuators, reverse-osmosis membranes and solar cells. The polymer electrolytes used for these applications usually require a combination of properties, including anisotropic orientation, tunable modulus, high ionic conductivity, light weight, high thermal stability and low cost. These critical properties have motivated researchers to find next-generation polymer electrolytes, for example ion gels. This dissertation aims to develop and characterize a new class of ion gel electrolytes based on ionic liquids and a rigid-rod polyelectrolyte. The rigid-rod polyelectrolyte poly (2,2'-disulfonyl-4,4'-benzidine terephthalamide) (PBDT) is a water-miscible system and forms a liquid crystal phase above a critical concentration. The diverse properties and broad applications of this rigid-rod polyelectrolyte may originate from the double helical conformation of PBDT molecular chains. We primarily develop an ionic liquid-based polymer gel electrolyte that possesses the following exceptional combination of properties: transport anisotropy up to 3.5×, high ionic conductivity (up to 8 mS cm⁻¹), widely tunable modulus (0.03 – 3 GPa) and high thermal stability (up to 300°C). This unique platform that combines ionic liquid and polyelectrolyte is essential to develop more advanced materials for broader applications. After we obtain the ion gels, we then mainly focus on modifying and then applying them in Li-metal batteries. As a next generation of Li batteries, the Li-metal battery offers higher energy capacity compared to the current Li-ion battery, thus satisfying our requirements in developing longer-lasting batteries for portable devices and even electric vehicles. However, Li dendrite growth on the Li metal anode has limited the pratical application of Li-metal batteries. This unexpected Li dendrite growth can be suppressed by developing polymer separators with high modulus (~ Gpa), while maintaining enough ionic conductivity (~ 1 mS/cm). Here, we describe an advanced solid-state electrolyte based on a sulfonated aramid rigid-rod polymer, an ionic liquid (IL), and a lithium salt, showing promise to make a breakthrough. This unique fabrication platform can be a milestone in discovering next-generation electrolyte materials. / Ph. D.

Una de les àrees més prometedores en recerca biomèdica i farmacèutica és el disseny molecular computacional, que intenta establir relacions entre propietats físico-químiques i activitat biològica. L'èxit d'aquestes tècniques depen críticament de la qualitat de la descripció molecular. En aquest sentit, metodologies basades en potencials d'interacció molecular (MIP) són eines útils per la comparació de compostos que presenten comportaments biològics semblants. Aquest projecte desenvolupa eines per comparar molècules basades en la caracterització de llurs MIPs. El programa de similaritat molecular MIPsim ha estat desenvolupat i aplicat a diferents problemes biològics. Aquesta tesi consisteix en quatre estudis científics que mostren l'ús del MIPSim en aliniament molecular, catalisi enzimàtica, en acoratge de molècules dins el lligand i en estudis 3D-QSAR. / One of the most promising areas in biomedical and pharmaceutical research is computer assisted molecular design, which tries to stablish relationships between physicochemical properties and biological activity. The success of these techniques depends critically on the quality of the molecular description. In this sense, methodologies based on molecular interaction potentials (MIP) are useful tools for the comparison of compounds displaying related biological behaviours. This project aims to develop tools to compare 'molecules based on the characterization 'of their MIPs. To this end, the molecular similarity program MIPSim has been further developed and applied to different biological problems. This thesis consists on four scientific studies showing the use of MIPSim for molecular alignment, enzymatic catalysis, ligand-protein docking and 3D-QSAR analyses.

Le sujet de cette thèse concerne l’étude de dynamiques induites par des impulsions lasers femtosecondes intenses. La première dynamique étudiée porte sur l’alignement de la molécule de CO2, pure ou en mélange avec l’argon ou l’hélium, en phase gazeuse dense (jusqu’à 20 bar), ce régime n’ayant jamais été étudié expérimentalement auparavant. L’alignement moléculaire, quand il est induit par une impulsion laser femtoseconde et intense, présente deux contributions qui apparaissent après passage de l’impulsion : un alignement permanent et un alignement transitoire. L’influence des collisions se manifeste alors par des transferts de population entre états rotationnels qui ont pour conséquence de faire décroître ces deux contributions. Le temps de décroissance de l’alignement permanent est seulement lié aux collisions inélastiques tandis que le temps de décroissance de l’alignement transitoire est lié à la fois aux collisions inélastiques et élastiques. Nous montrons alors que la détermination expérimentale de la contribution des collisions élastiques, expérimentalement difficile d’accès, est possible à partir de l’analyse des traces d’alignement moléculaire. Cette analyse se base sur la modélisation des taux de transfert entre états liés aux collisions inélastiques par des lois semi-empiriques du type ECS-(E)P. La contribution élastique des collisions déterminée est en bon accord avec des valeurs calculées selon un modèle classique. La deuxième dynamique étudiée est la dépendance en éclairement de l’effet Kerr électronique. Nous poursuivons alors les travaux menés par Loriot et al. en 2009 qui ont montré que l’indice Kerr électronique saturait avant de s’annuler puis de présenter une contribution négative lorsqu’on augmente l’éclairement (inversion du signe pour quelques dizaines de térawatts par centimètre carré). Nous avons alors étendu cette étude en observant à une longueur d’onde de 400 nm (800 nm dans l’étude originale) cette inversion du signe de l’indice Kerr dans l’air. / This thesis is devoted to the study of dynamics induced by intense femtoseconds lasers pulses. The first studied dynamics deals with molecular alignment of CO2-X mixtures (X=CO2, Ar, N2), in dense gases (up to 20 bar). Up to now, this regime has never been studied experimentally. In the field-free regime (after laser/matter interaction), molecular alignment exhibits two components : a permanent alignment and a transient one. The influence of collisions appears through population transfers between rotational states, which leads to a decrease of these two contributions. Permanent alignment relaxation time is only tied to inelastics collisions whereas transient alignment relaxation time is tied to both inelastics and elastics ones. We show that the determination of the elastic collisions contribution (for which the experimental determination is uneasy), is then possible thanks to the analysis of molecular alignment measurements. This analysis is based on the modelling of inelastics rotational state-to-state transfer rates by ECS-(E)P semi-empirical laws. The elastic contribution of collisions is experimentally determined and happened to be in a good agreement with classically calculated ones. The second studied dynamics is the intensity dependence of the electronic Kerr effect. We pursue the works led by Loriot and al. in 2009 which showed that electronic Kerr index saturated, before nullifying and then presenting a negative contribution when the intensity increases (inversion of the sign for some tens of terawatts by square centimeter). We complete the previous study by performing similar measurements in air at 400 nm (800 nm in the original study).

La thématique de cette thèse est l'alignement moléculaire. Celui-ci est un sujet très important qui ouvre la voie sur un contrôle beaucoup plus fin de nombreux phénomènes. Ainsi, nous avons développé une nouvelle technique de mesure de l’alignement moléculaire suivant un axe et permettant d’en conserver le signe. Celle-ci est, à l’instar des techniques de mesure de l’alignement moléculaire développées dans l’équipe, basée sur la mesure de variation d’indice de réfraction induite par l’alignement moléculaire. La technique développée ensuite permet également la mesure de l’alignement moléculaire, tout en étant aussi une application de celui-ci puisqu’il permet ici la génération de troisième harmonique. L’alignement moléculaire est également mis en oeuvre dans la dernière étude puisque nous montrons qu’il apporte la résolution nécessaire à l’étude de la thermalisation d’un échantillon moléculaire excité / The thematic of this thesis is molecular alignment. The latter is a very important topic that opens the way toward a much more thin control of many phenomenons. So, we have developed a new measurement technique of the molecular alignment along one axis that permits to preserve the sign of alignment. This one is, like other measurement techniques developed by the team,based on the measurement of the refractive index variation induced by the molecular alignment.The technique developed then also permits the molecular alignment measurement, being also an application of it because it allows the third harmonic generation. In the last study, molecular alignment is implemented to show that it brings the necessary resolution for the study of an excited molecular sample thermalization

Depuis sa première observation, la génération d'harmoniques d'ordre élevé (GHOE) dans les gaz a demontré son importance, ouvrant la voie à la science attoseconde. Cette technique produit un rayonnement impulsionnel XUV qui s'étend dans le domaine spectral intermédiaire entre l'ultraviolet et les rayons X. Ces impulsions attosecondes donnent accès à des résolutions temporelles extrêmes, permettant ainsi d'observer des dynamiques électroniques dans des atomes ou des molécules. En effet le processus de généneration d'harmonique repose sur l'oscillation de paquets d'électrons attosecondes issus des molécules, accélérés par le champ de laser intense et se recombinant radiativement avec leurs ions moléculaires parents. Ainsi, le rayonnement harmonique émis lors de la recombinaison permet d'encoder l'information structurale sur le ou les orbitales impliquées avec une résolution spatiale de l'ordre l'Angström et temporelle femtoseconde ou attoseconde. La génération d'harmonique peut être utilisée comme signal de sonde dans des expériences de spectroscopie pompe-sonde résolue en temps. Ces expériences de spectroscopie harmoniques permettent d'étudier la structure des orbitales et les dynamiques moléculaires ultra-rapides. L'objectif de cette thèse est d'utiliser le processus de la GHOE, pour sonder les processus fondamentaux qui interviennent dans les atomes, les molécules et la matière condensée. Tout d'abord, pour comprendre comment extraire des informations dynamiques ou structurelles sur les orbitales à partir du signal harmonique nous avons étudié un système simple et connu: l'argon. Une nouvelle approche théorique développée par Fabre et Pons a permis de reproduire fidèlement l'expérience. Nous avons continué à étudier la structure et la dynamique moléculaire dans N2 et CO2. Les molécules issues d'un jet supersonique Even-Lavie qui permettait d'obtenir des températures rotationelles de moins de 10K ont été alignées par laser avec un fort degré d'alignement. Ce type de jet permet d'améliorer la sensibilité à la structure des orbitales impliquées et d'identifier la contribution de plusieurs orbitales. Ensuite nous avons utilisé la sensibilité de la génération des harmoniques d'ordre élevé à la structure des orbitales moléculaires pour sonder la dynamique complexe du NO2 excité autour d'une intersection conique. Nous avons appliqué la méthode du réseau d'excitation transitoire qui permet d'améliorer la sensibilité aux molécules excitées. Nous avons donc mené une étude dans les agrégats. A l'aide d'une étude différentielle en température et d'une méthode de cartographie spectrale et spatiale, nous avons pu isoler la contibution des grands agrégats. Notre analyse suggère un nouveau mécanisme de génération par des agrégats et permet même une estimation de la longeur de corrélation des électrons dans les agrégats. Ce manuscrit se termine avec la présentation d'une ligne de lumière XUV. Cette technique consiste à utiliser le rayonnement XUV fs produit par la GHOE comme impulsion sonde pour ioniser des fragments de dissociation moléculaire à l'aide d'une transition à un photon. / Since the first observation of high-order harmonic spectra in gases, high harmonic generation (HHG) has demonstrated its importance, opening a door to the field of attosecond sience. The bandwidth of the emitted spectrum reaches up to the XUV. The attosecond pules reach a very high time resolution, allowing the study of electron dynamics in atoms or molecules. The generation mechanism of HHG is based on the oscillation of the attosecond electron wavepacket emitted by the atoms/molecules, accelerated by the laser field. The electron wavepacket finally recombines radiatively with its parent ion. Thus the structural information of the probed orbital is encoded in the high harmonic spectrum with a spatial resolution of one Angtröm and a temporal resolution of few femtoseconds. HHG can be used as a probe signal resolved for pump-probe spectroscopy. High harmonic spectroscopy allows the study of the orbital structure and ultra-fast molecular dynamics.In this thesis the fundamental mechanisms playing a role in atoms, molecules and condensed matter are probed using HHG. In order to understand how to extract dynamical and structural information of orbitals from a harmonic signal, we have studied an easy and well known systems: the argon atom. A new theoretical approach developped by Fabre and Pons allowed us to reproduce the experimental results in good agreement. We continued with a study of the molecular structure and dynamics of N2 and CO2. A supersonic Even-Lavie jet permitted to reach rotational temperatures lower than 10K with an excellent alignment distribution. Owing to the good alignment in such gas jet, we were able to resolve the orbital structure with a higher sensitivity and to identify the contribution of several orbitals. In the next step we used the sensitivity of HHG towards the structure of molecular orbitals in order to probe the complex dynamics of NO2 in the vicinity of a conical intersection. We applied HHG combined with transient grating spectroscopy which leads to a higher sensitivity of the excited molecules. We then continued with studying cluster. We were able to disentangle the contribution of large clusters to the harmonic signal due to a 2D spatio-spectral representation of a temperature dependent differential measurement. Our analysis suggests a new generation mechanism in clusters and allows an estimation of the electron correlation length in clusters. This thesis ends with the presentation of a XUV beamline. This technique uses the emitted fs-XUV radiation, provided by HHG, as a probe pulse for ionizing the photofragments by a one photon transition.