La spectroscopie RMN alliée à l’utilisation de solvants cristal-liquide fortement et faiblement orientants est une stratégie efficace pour élucider les structures et distributions conformationnelles de petites molécules organiques rigides et flexibles en solution, et déterminer les ordres orientationnel et positionnel des solutés comme des solvants orientés. Dans une première partie, afin d’explorer les différentes contributions aux couplages dipolaires d’un soluté donné, la très faible amplitude de l’ordre orientationnel d’une molécule quasi-sphérique, le tetramethylallène, dissoute dans un nématique thermotrope est exploitée. Dans cette situation limite, le caractère prédominant des mécanismes de réorientation et de vibration moléculaire est mis en évidence, et estimé. Dans une seconde partie, les données RMN obtenues à partir de solutés de petites tailles dissous dans des solvants smectiques sont combinées aux résultats de calculs reposant sur des concepts de thermodynamique statistique et de la théorie de la fonctionnelle de densité. L’efficacité de cette méthode dans la détermination des paramètres d’ordres positionnel du solvant et orientationnel des molécules-sondes est démontrée aussi bien dans le cas de phases conventionnelles smectiques A que celui plus délicat de smectiques interdigitées Ad. La stratégie d’analyse proposée est ensuite étendue à l’investigation des structures tridimensionnelles et équilibres conformationnels de molécules flexibles bioactives ou biomimétiques. Dans une perspective méthodologique, à l’aide d’études expérimentale et théorique portant sur le biphényle, molécule symétrique constituée d’un unique rotor, il est tout d’abord démontré l’intérêt des méthodes de simulations par dynamique moléculaire pour évaluer l’ensemble des couplages dipolaires d’un soluté donné dans une phase thermotrope, ultérieurement utilisés comme paramètres initiaux dans une analyse spectrale itérative, et in fine déterminées précisément. L’analyse spectrale chronophage et dont l’aboutissement est incertain si les paramètres initiaux sont difficiles à estimer, en est ainsi facilitée. Puis, les distributions conformationnelles d’anti-inflammatoires non stéroïdiens de dérivés salicylés et profènes, fluorés ou non, constitués d’un ou deux rotors indépendants sont présentées. Via l’utilisation inédite du modèle AP-DPD dans les solvants nématiques (chiraux) lyotropes faiblement orientants, et à partir des couplages dipolaires homo- et hétéronucléaires notamment obtenus grâce à l’expérience RMN GET-SERF, créée à propos pour permettre l’extraction simple et rapide des couplages 1H-19F, les surfaces d’énergie potentielle de ces biomolécules sont décrites de façon satisfaisante. Enfin, les équilibres conformationnels de deux stilbénoïdes constitués de deux rotors coopératifs sont déterminés dans deux solvants cristal-liquide, l’un fortement, l’autre faiblement orientant. Ces études comparatives permettent de discuter la fiabilité, la précision et l’accessibilité des observables RMN extraites dans les phases, et d’établir la complémentarité des analyses RMN réalisées dans ces solvants. / NMR spectroscopy in weakly and highly orienting media is used as a route for dealing with orientational, positional, structural and conformational problems of a variety of small rigid and flexible organic molecules in solution. First, the very weak orientational order of a quasi-spherical molecule dissolved in a nematic phase is exploited for exploring the role of the different contributions to the observed dipolar coupling. In such a limit condition, a predominant effect of the non-rigid reorientation-vibration coupling term emerges. Then, NMR data obtained from small rigid probes dissolved in smectic solvents are combined with a statistical thermodynamic density functional theory, in order to measure the positional order parameters of both solutes and solvent. The methodology gives good results when applied to a conventional smectic A liquid crystal and to the more delicate case of an interdigitated smectic Ad phase. The strategy is subsequently extended to the investigation of structure, order and conformational equilibrium of flexible bioactive or biomimetic molecules dissolved in various partially ordered NMR solvents. A first experimental and theoretical study is presented on the symmetric single-rotor molecule of biphenyl dissolved in a thermotropic liquid crystal. This test-case indicates molecular dynamics simulations are a promising tool for estimating a set of dipolar couplings of a solute in a thermotropic solvent, to be used as starting set of parameters in a standard operator-mediated NMR spectral analysis. Then, we report the conformational study of some single- and two-rotor nonsteroidal anti-inflammatory drugs, belonging to the families of salicylates and profens, dissolved in weakly orienting chiral nematic PBLG phases. A new pulse sequence, the Gradient Encoded heTeronuclear 1H-19F SElective ReFocusing NMR experiment (GET-SERF), is proposed here for the trivial edition of all 1H-19F couplings in one single NMR experiment, for a given fluorine atom. Starting from homo- and heteronuclear dipolar couplings, difficult to extract in thermotropic solvents because of a too complex spectral analysis, the torsional distributions of such molecules can be satisfactory described by the Additive Potential model combined with the Direct Probability Description of the torsional distribution in terms of Gaussian functions (AP-DPD approach). Finally, the conformational and orientational study of two stilbenoids displaying cooperative torsions is discussed in both a highly and weakly ordering liquid crystal phase. This comparative study allows to draw some conclusions on reliability, accuracy and accessibility of desired data in the two phases. Overall, this work proves NMR in liquid crystals is a flexible and meaningful tool for studying order, structure and conformation and it can greatly benefit from the availability of several aligning media inducing a different degree of order.

Neste trabalho estudamos, no contexto de campo médio, modelos microscópicos que possam descrever o comportamento termodinâmico das fases nemáticas em sistemas líquido-cristalinos. Considerando apenas interações atrativas, investigamos modelos de interações quadrupolares para objetos intrinsecamente biaxiais. Esses modelos apresentam mesofases nemáticas uniaxiais e biaxiais, pontos triplos e multicríticos (tricríticos, pontos de Landau, etc.). Ainda no contexto de forças atrativas, introduzimos um modelo de mistura binária de objetos intrinsecamente uniaxiais e objetos intrinsecamente biaxiais, numa formulação annealed. Essa mistura apresenta diagramas de fases bastante ricos, com topologias diversas, onde identificamos estruturas uniaxiais e biaxiais, fases reentrantes e uma grande variedade de pontos multicríticos (tricríticos, pontos críticos terminais, etc.). No caso de interações estéricas, estudamos uma teoria do funcional densidade para sistemas anisotrópicos densos, construída a partir de uma aproximação de van der Waals. Para esferoides prolatos, o modelo prevê um espaço de orientações com regiões não-acessíveis para as partículas. Além disso, o sistema apresenta uma região de coexistência entre as fases nemática e isotrópica. / We study, in a mean-field approximation, microscopic models which can lead to nematic liquid-crystalline phases. Considering attractive forces, we investigate models with quadrupolar interactions for intrinsically biaxial objects. These models present uniaxial and biaxial nematic mesophases, triple and multicritical points (tricritical point, Landau point, etc.). We also introduce a model for a binary mixture of intrinsically uniaxiail and biaxial objects, in an annealed treatment. The mixture exhibits phase diagrams with very rich topologies, where we find uniaxial and biaxial structures, reentrant phases and many different multicritical behaviors (tricritical point, critical endpoint, etc.). Moreover, assuming steric interactions, we investigate a density functional theory for hard anisotropic bodies at high densities, based on a van der Waals approximation. For hard spheroids, the model leads to an orientation space with forbidden regions for the particles. Also, the system phase separates in a nematic and an isotropic phases.

No presente trabalho foram estudadas, inicialmente, distorções periódicas \"bend\" provocadas por campo magnético em amostra nemática calamítica da mistura: decilsulfato de sódio, decanol e água. Com base na teoria elástica continua, medidas do comprimento de onda das distorções periódicas permitiram obter a razão K IND. 9 / X IND. em função da temperatura, onde K IND. 9 é a constante elástica de \"bend\" e X IND. a anisotropia de susceptibilidade diamagnética. Em seguida, amostras nemáticas foram dopadas com ferrofluído em diferentes concentrações, o que possibilitou, através da comparação entre os resultados (com e sem o \"doping\"), determinar K IND. 9 e X IND. , respectivamente. Num segundo momento, a mesofase nemática calamítica obtida da mistura liotrópica de laurato de potássio, decanol e água, é submetida a gradiente térmico vertical em configuração planar. Uma nova instabilidade térmica foi observada envidenciando uma estrutura de rolos com os seus eixos perpendiculares à configuração inicial do diretor. O comprimento de onda da instabilidade tem valores em torno de 10 vezes menores que a espessura da amostra. A instabilidade, cujo processo de formação e relaxação é estudado, aparece com a diminuição do gradiente térmico próximo à transição de fase nemático-isotrópica. Considerando-se estes fatos, sugere-se um mecanismo em função da variação das dimensões dos objetos micelares com a temperatura. / In this work were primarily studied the periodic distortions \"bend\" provoked by magnetic field on calamitic nematic sample of the mixture: sodium decylsulfate, decanol and water. Based on the continuum elastic theory, measures of the wave lenght of periodic distortions permitted to obtain the ratio K9 /X in function of the temperature, where k9 is the elastic constant of \"bend\" and x the anisotropic of diamagnetic susceptibility. Afterwards, nematic samples were doped with ferrofluid in different concentrations, which made possible, through a comparison between the results (with and without the \"doping\"), to determine x and K9 respectively. In a second moment, the calamitic nematic mesophase obtained from the liotropic mixture of potassium laurate, decanol and water is submitted to a vertical thermic gradient in plane configuration. A new thermic instability was observed showing evidences of a roll structure with its perpendicular axis to the initial configuration of the director. The lenght of the instability wave has values around ten times smaller than the thickness of the sample. The instability, whose process of formation with the decrease of the thermic gradient next to the transition of isotropic-nematic phase. Considering these facts, we would suggest a mechanism related to the variation of the micelar objects dimensions in function of the temperature.

Les dispersions de virus filamenteux présentent une succession d'états cristallins liquides comprenant les phases nématique, smectique (ou lamellaire) et colonnaire. L’auto-organisation de ces particules colloïdales en forme de bâtonnet s’est révélée être essentiellement pilotée par l’entropie dont résulte un potentiel d’interaction entre particules purement répulsif. Dans cette thèse, les propriétés structurales et dynamiques de bâtonnets présentant une interaction attractive directionnelle fortement localisée (interaction dite à « patch ») à l'une des extrémités des particules ont été étudiées. L’interaction attractive locale a été obtenue en fonctionnalisant les extrémités des virus filamenteux par greffage régiosélectif de colorants fluorescents hydrophobes qui jouent le rôle de « patch » enthalpique. La force d'attraction peut être modulée en faisant varier le nombre de molécules de colorant liées. Nous avons montré que cette interaction à « patch » stabilise la phase smectique au détriment de la phase nématique, laissant les autres phases cristallines liquides essentiellement inchangées. En outre, la présence de molécules de colorant fluorescent sur les extrémités des virus permet l'observation de structures lamellaires cristal-liquides avec un contraste et une résolution exacerbés. La visualisation in situ de défauts topologiques en phase smectique, telle des dislocations de type coin et vis, a été réalisée à l'échelle de la périodicité du réseau. Le champ de déplacement autour d’une dislocation coin a été établi expérimentalement et comparé au profil prédit par les théories élastiques. Des dislocations de type vis ont également été mises en évidence, pour lesquelles la taille du cœur et l'helicite ont été déterminées.La dynamique des virus « patchy » et de ceux non fonctionnalisés a été étudiée par suivi temporel du déplacement des particules individuelles en microscopie de fluorescence. Dans toutes les phases cristallines liquides, la diffusion de particules « patchy » s'est avérée être entravée. En particulier dans la phase smectique, les bâtonnets « patchy » ont tendance à résider dans les couches diffusant principalement dans la direction perpendiculaire à l'axe principal du virus, tandis que les bâtonnets non fonctionnalisés présentent une diffusion entre couches beaucoup plus prononcée. Ce comportement peut s’explique par la plus grande valeur du potentiel smectique associé et mesuré expérimentalement dans les deux types de dispersion.Nous avons combiné des effets de « patch » entropique et enthalpique en ajoutant des polymères non-absorbants à la dispersion virale fonctionnalisée. Dans ce cas, les bâtonnets s’auto-assemblent latéralement par déplétion en des clusters. La diffusion de rayons X et la microscopie optique ont été utilisées pour comparer les propriétés structurales et dynamiques des dispersions virales fonctionnalisées - ou pas - mélangées à des polymères non absorbants, et pour établir les diagrammes de phases correspondants.En résumé, nous avons démontré un nouveau moyen efficace de contrôler la structure de fluides complexes par la modifications régio-sélective des particules constituantes. / Dispersions of filamentous viruses exhibit a plethora of liquid crystalline states including nematic, smectic (or lamellar), and columnar phases. Self-organization of these rod-shaped colloidal particles has been shown to map the hard-core behavior for which the interaction potential is purely repulsive. In this thesis, the structural and dynamical properties of rods with highly localized directional attractive interaction (or “patchiness”) between one of the ends of the particles have been studied. Local attraction has been achieved by functionalizing the filamentous virus tips via regioselective grafting hydrophobic fluorescent dyes which act as enthalpic patch. The single tip attraction strength can be tuned by varying the number of bound dye molecules. We have shown that increasing attraction interaction stabilizes the smectic phase at the cost of nematic phase leaving all other liquid crystalline transitions unchanged. Furthermore, the fluorescent dye molecules on the viral tips enable the observation of liquid crystalline lamellar structures with improved contrast and resolution. In situ visualization of topological defects in the smectic phase such as edge and screw dislocations has been thus performed at the lattice periodicity level. The displacement field around an edge dislocation has been experimentally established and compared to the profile predicted by elastic theory. Screw dislocations have been also evidenced, for which the core size and handedness have been determined.Dynamics of patchy and pristine viruses has been investigated by tracking individual rod displacements. In all liquid crystalline phases, the self-diffusion of patchy rods has been found to be hindered compared to the self-diffusion of pristine rods. Particularly in the smectic phase, patchy rods tend to reside within the layers mainly diffusing in the direction perpendicular to the main virus axis, contrary to pristine rods whose self-diffusion between layers is far more pronounced. This behavior is explained by the higher unidimensional smectic ordering potential experimentally measured in the dispersions of patchy rods compared to that obtained for pristine rods.We have combined both entropic and enthalpic patchinesses by adding non-adsorbing polymers into tip-functionalized viral dispersions. In this case, rod sides act as entropic patchy sites due to attractive depletion interaction between them. Small angle X-ray scattering and optical microscopy techniques have been used to compare the structural and dynamical properties of pristine and tip-functionalized viral dispersions mixed with hydrophilic polymers acting as depletants agent. We have determined and compared the phase diagrams obtained for the two types of virus-polymer systems.In summary, we have demonstrated a new and efficient way to control the structure of complex fluids by implementing site-specific modifications of building blocks.

Exploiter le degré de liberté angulaire de la lumière pour contrôler les forces optiques ouvre une nouvelle voie pour la manipulation optique de systèmes matériels. Dans ce contexte, notre travail porte sur l’interaction lumière-matière en présence de chiralité, qu’elle soit matérielle ou ondulatoire. Expérimentalement, nous avons utilisé des gouttes de cristaux liquides cholestériques interagissant avec un ou plusieurs champs lumineux polarisés circulairement et nous avons apporté une description quantitative de nos observations. Notre principal résultat correspond à la démonstration que la pression de radiation optique peut être contrôlée par l’hélicité du photon. Ce phénomène est ensuite utilisé, d’une part pour faire une démonstration de principe du tri de la chiralité matérielle via une approche optofluidique et d’autre part pour réaliser un piège optique tridimensionnel sensible à la chiralité de l’objet piégé. / Exploiting the angular momentum degree of freedom of light to control the mechanical effects that result from light-matter exchanges of linear momentum is an intriguing challenge that may open new routes towards enhanced optical manipulation of material systems. In this context, our work addresses the interplay between the chirality of matter and the chirality of optical fields. Experimentally, this is done by using cholesteric liquid crystal droplets interacting with circularly polarized light and we provide with theoretical developments to quantitatively support our observations. Our main result is the demonstration of optical radiation force controlled by the photon helicity. This phenomenon is then used to demonstrate the optofluidic sorting of material chirality and the helicity-dependent three-dimensional optical trapping of chiral liquid crystal microspheres.

Cette thèse est une contribution à l’étude des relations structure propriétés dans le domaine de la glycoamphiphilie. Trois nouvelles familles de neoglycolipides ont été synthétisées, deux familles principalement destinées à apporter des éléments sur l’état liquide cristallin des glycolipides, et une troisième famille permettant d’aborder l’étude de nouvelles glycosondes fluorescentes. Plus de 50 produits finaux ont été préparés (et donc leurs très nombreux précurseurs) et caractérisés structuralement par spectroscopie RMN, de masse, et par analyse élémentaire. Les propriétés liquides cristallines de ces nouveaux produits ont été ensuite étudiées par microscopie optique et DSC. L’étude des propriétés liquides cristallines de la famille d’éthers montrent que la localisation de la chaine sur le squelette sucre modifie la répartition entre liaisons hydrogène inter- ou intra moléculaires entre têtes polaires sucres. L’analyse du comportement thermotrope des glucostéroïdes, notamment ceux qui sont disubstitués, montre que les interactions lipide-lipide sont également très importantes. Il a été observé que ces systèmes complexes pouvaient adopter deux types d’architectures au niveau supramoléculaire en fonction de la flexibilité du système, laissant plus ou moins aux trois motifs présents dans la molécule la liberté de choisir leur préférence d’autoassociation. Les glycostéroïdes étant largement rencontrés dans la Nature, on peut considérer que ces observations nouvelles qui ont été apportées signalent que le comportement supramoléculaire de telles molécules est potentiellement multiple. Enfin, une brève exploration d’une nouvelle famille de glycosondes fluorescentes a été abordée. / In this study, we have synthesized two families of new carbohydrate-based amphiphilic derivatives: a series of alkyl glucoside ethers varying in terms of chain length and position on the sugar, and a series of glucosteroids varying in terms of alkyl spacer and, for the disutibstuted systems, in terms of alkyl side chain length. By the means of analytical methods, such as NMR spectroscopy, mass spectroscopy and elementary analysis, the structure of all the compounds was carefully established, as well as their purity. Their liquid crystalline behaviors were studied by the means of transmission light microscopy and differential scanning calorimetry. The two families of compounds which have been studied illustrate how much the behavior can be essentially related to polar interactions (H-bonding), therefore to the sugar moiety, for the ether series, or to hydrophobic interactions (lipid-lipid) in the glucosteroid series. In this latter series, preference for either steroid-stroid or steroid alkyl packing appears as an insight in understanding the behavior of complex lipids, showing potentially more than one conformational structure with important consequences on the supramolecular level, therefore to their potential biological role. This could be regarded as “lipid denaturation” by analogy to the protein denaturation. Also, when we see that compounds like the glycosteroids having an long chain ester -CAG, BbGL-I, are found to exist in Nature, and how much glycolipid-cholesterol interactions were recently shown to be critical in some biological processes, it is hoped that our observations can provide a new vision angle for the study of complex lipids and glycolipids. As a start to develop new probes targeting the “lipid raft” microdomain in membranes, we also explored a sequence towards carbohydrate laurdan hybrids. Further development of this strategy and evaluation of the biological properties is programmed within new collaborative projects.

La microscopie à l'angle de Brewster est une nouvelle et tres puissante technique d'étude des films monomoléculaires à la surface de l'eau. Son principe est basé sur les propriétés de réflectivité des interfaces. Elle est sensible à l'épaisseur, la densité et l'anisotropie optique des films. Cette technique a été appliquée à l'étude de couches adsorbées à la surface de solutions aqueuses d'acides gras (acides palmitiques et myristiques). Ces couches traversent pendant leur formation des transitions de phases. Le nombre, la nature et la morphologie de ces phases dépendent de nombreux paramètres dont le pH. Nous avons entre autres observé des phases optiquement anisotropes, contituées de molécules inclinées par rapport à la normale à la solution.Ces phases sont sans doute des mésophases "verrouillées", c'est à dire que la direction des molécules est fixée par rapport aux directions intermoléculaires. Elles présentent différents types de défauts d'orientation, dont des structures en étoile. L'existence de telles structures est expliquée par application d'un modèle d'élasticité continue développé pour l'étude des films minces de cristaux liquides smectiques. Des structures en zig-zag, en spirales et en bandes de largeur déterminée ont également été observées. Nous avons également étudié les couches d'un polymère (le PDMS) à la surface de l'eau. Nous y avons observé la séparation latérale en domaines de densités de surface différentes, à la fois dans le régime monocouche et le régime multicouches.

Cyclopropanes are strained molecules and undergo reactions, for example, through ring opening and rearrangements. Preparative methods and reactivities of cyclopropanes are known widely in organic synthesis. The high reactivities inherent in cyclopropanes allow them to be valuable building blocks in organic synthesis. The combination of cyclopropanes and carbohydrates has been explored in recent years. Carbohydrates, the naturally-occurring members of chiral pool, are attractive platforms for asymmetric synthesis. Cyclopropanation of, for example, unsaturated sugars affords [4.1.0] bicyclic systems, thereby combining the high reactivities of cyclopropanes together with optical purities of sugars. Chapter 1 of the Thesis describes (i) various types of cyclopropane ring opening reactions in general and (ii) known reactions of cyclopropanes in carbohydrates relevant to the work presented in the Thesis. Seven-membered cyclic sugars, namely, septanoses and septanosides, are less commonly known sugar homologues. Synthesis of septanoses arise interest, due to their configurational and conformational features and the attendant possibilities to explore their chemical, physical and biological properties. In a programme, it was desired to identify a new methodology for synthesis of septanosides. It was envisaged that 2-hydroxy glycals, namely, oxyglycals, would form as suitable substrates for ring expansion, leading to the formation of septanoside derivatives that are retained with hydroxyl groups in each carbon of the septanoside. In the event, a new methodology was identified. A carbene insertion of an oxyglycal substrate, nucleophilic ring opening of the cyclopropyl moiety, oxidation and reduction reactions were identified to expand the six membered pyranoses to seven membered septanosides (Scheme 1). The methodology was established through preparation of two configurationally different septanosides, namely, the methyl α-D-glycero-D-talo-septanoside and methyl α-D-glycero-L-altro-septanoside from D-glucose and D-galactose, respectively. Chapter 2 presents details of the methodology and the preparation of septanosides from precursors oxyglucal and oxygalactal. Scheme 1 Continuing the efforts to extend the methodology, preparation of a variety of septanosides, using phenoxides, sugars and azide were undertaken. It was found that ring opening with sugars were highly stereoselective, leading to an exclusive formation of the -anomer of sugar oxepines, whereas, the phenoxides and azide led to a mixture of anomers of the corresponding oxepines, in a ~1:1 ratio (Scheme 2). Scheme 2 An important observation was -anomer of the oxepine derived intermediates, having diketo-functionalities, underwent NaBH4 mediated conversion to diols with higher diastereoselectivities at the newly generated stereo-centers, whereas the -anomers lacked to retain the diastereoselectivities, in the case of aryl septanosides. This part of work consolidated further the generality of the oxyglycal ring-expansion method to prepare septanosides, possessing different substituents at their reducing ends. Chapter 3 describes the details of syntheses and characterization of various aryl septanosides, septanoside disaccharides and azido-septanoside derivatives. It was planned further to synthesize septanoside containing di-and trisaccharides from naturally-occurring disaccharides, through the oxyglycal route. Oxyglycals, derived from lactose and maltose, were expanded to septanoside-containing trisaccharides through a ring expansion method. Thus septanosides incorporated disaccharides and trisaccharides, with 6-7, 6-7-5 and 6-7-6 ring sizes, were prepared through the ring expansion method. The reaction not only led to a ring expansion, but also, to a concomitant glycoside formation, in a stereoselective manner (Scheme 3). Scheme 3 A conformational analysis of the galacto-septano-glucopyrano-configured 6-7-6 trisaccharide was undertaken with aid of NMR spectroscopy and computational methods. Spatial distances from NMR experiments were utilized while performing molecular dynamics with AMBER* force field and further optimizations using B3LYP/6-31+G* level. The study showed that septanoside ring in the trisaccharide adopted twist-chair conformation O,1TC5,6, as shown in Figure 1. Chapter 4 describes synthesis of septanoside containing di-and trisaccharides and conformational analysis of a 6-7-6 trisaccharide, through solution phase and computational methods. An effort was pursued to prepare septanoside-based amphiphiles with varying alkyl chain lengths, using our newly established methodology and to study their amphiphilicities. A series of septanoside amphiphiles, having C10 to C18 alkyl groups, were prepared as their -anomers as shown in Figure 2. The amphiphilic behavior of the alkyl septanosides was assessed through studies of their liquid crystalline (LC) properties. The LC properties were evaluated using polarizing optical microscopy, differential scanning calorimetry and powder X-ray diffraction methods. All the septanoside amphiphiles exhibited a smectic A phase in general. DSC thermograms showed crystal-crystal and crystal-mesophase phase transitions. Powder X-ray diffraction studies allowed to identify the lamellar structuring of the smectic A phase. Further, two distinct two layer spacings were observed. Such an observation is un-usual in carbohydrate liquid crystals. Chapter 5 details of synthesis and studies of the mesomorphic behavior of septanoside amphiphiles. In summary, the Thesis establishes a new route to synthesize septanoside derivatives, from oxyglycal sugar derivatives. Ring expansion of a pyranoside to a septanoside was achieved through key reactions of a cyclopropanation, ring opening, oxidation and reduction. Methyl α-D-glycero-septanoside derivatives were synthesized, from the corresponding oxyglycals. Cyclopropane ring opening ability of various nucleophiles were studied, it was found that ring-opening reactions with phenols, sugars, and azides are effective, which facilitated the synthesis of various aryl, glycosyl and azido-substituted septanosides. Synthesis of septanosides incorporated with di-and trisaccharides were accomplished. The detailed conformational analysis studies showed that the septanoside adopted twist-chair conformation in a trisaccharide molecule. Preparation and studies of septanoside based amphiphiles and their mesophase behavior were also accomplished. Overall, the studies presented in the Thesis provide a new insight to ring expanded sugars. The salient features of the present method are that the intermediates such as the seven membered vinyl halides, vinyl ethers, the diketones and the diols are potential sites for many other functionalizations. These features can be explored further in functionalizing the newly formed septanosides. (For structural formula pl see the pdf file)

The present thesis reports computer simulation studies of several phase transition related phenomena in a range of soft-condensed matter systems. A coherent unifying theme of the thesis is the understanding of dynamics of phase transitions through free energy calculations using recently developed efficient non-Boltzmann sampling methods. Based on the system/phenomena of interest, the thesis has been classified into four major parts: I. Isotropic-nematic (IN) phase transition in liquid crystals. II. Nucleation phenomena in gas-liquid transition with particular emphasis on the systems close to the spinodal curve. III. Collapse transition in linear hydrocarbon (n-alkane) chains for a varying range of length, solvent and temperature. IV. Crystallization of unbranched polymer chains in dilute solution, with particular emphasis on the temperature dependent crossover between the rod-like crystalline state and spherical molten globule state. The thesis has been further divided into ten chapters running through the four parts mentioned before. In the following we provide a brief chapter-wise outline of the thesis. Part I deals with the power law relaxation and glassy dynamics in thermotropic liquid crystals close to the IN transition and consists of two chapters. To start with, Chapter I.1 provides an introduction to thermotropic liquid crystals. Here we briefly introduce various liquid crystalline phases, the order parameter used to characterize the IN transition, a few well established theoretical models, and we conclude with describing the recent experimental and computer simulation studies that have motivated the work described in the next chapter. In Chapter I.2, we present our molecular dynamics simulation studies on single particle and collective orientational dynamics across the IN transition for Lebwohl Lasher model, which is a well-known lattice model for thermotropic liquid crystals. Even this simplified model without any translational degrees of freedom successfully captures the short-tointermediate time power law decay recently observed in optical heterodyne detected optical Kerr effect (OHDOKE) measurements near the IN transition. The angular velocity time correlation function also exhibits a rather pronounced power law decay near the IN boundary. In the mean squared angular displacement at comparable time scales, we observe the emergence of a sub-diffusive regime which is followed by a super-diffusive regime before the onset of the longtime diffusive behavior. We observe signature of dynamical heterogeneity through pronounced non-Gaussian behavior in the orientational motion particularly at lower temperatures. Interestingly, this behavior closely resembles what is usually observed in supercooled liquids. We obtain the free energy as a function of orientational order parameter by the use of recently developed transition matrix Monte Carlo (TMMC) method. The free energy surface is flat for the system considered here and the barrier between isotropic and nematic phases is vanishingly small for this weakly first-order transition, hence allowing for large scale, collective, and correlated orientational density fluctuations. We attribute this large scale fluctuations as the reason for the observed power law decay of the orientational time correlation functions. Part II consists of three chapters, where we focus on the age old problem of nucleation and growth, both from the perspective of thermodynamics and kinetics. We account for the rich history of the problem in the introductory Chapter II.1. In this chapter we describe various types and examples of the nucleation phenomena, and a brief account of the major theoretical approaches used so far. We begin with the most successful Classical Nucleation Theory (CNT), and then move on to more recent applications of Density Functional Theory (DFT) and other mean-field types of models. We conclude with a comparison between the experiments, theories and computational studies. In the next chapter (Chapter II.2) we attempt to elucidate the mechanism of nucleation near the gas-liquid spinodal from a microscopic point of view. Here we construct a multidimensional free energy surface of nucleation of the liquid phase from the parent supercooled and supersaturated vapor phase near the gas-liquid spinodal. In particular, we remove the Becker-Doring constraint of having only one growing cluster in the system. The free energy, as a function of the size of the largest cluster, develops a pronounced minimum at a subcritical cluster size close to the spinodal. This signifies a two step nature of the process of nucleation, where the rapid formation of subcritical nuclei is followed by further growth by slower density fluctuations on an uphill free energy surface. An alternative free energy pathway involving the participation of many subcritical clusters is envisaged near the spinodal where the growth of the nucleus is found to be promoted by a coalescence mechanism in contrast to the single particle addition assumption within CNT. The growth of the stable phase becomes progressively collective and spatially diffuse, and the significance of a “critical nucleus” is lost for deeper quenches. In this chapter we present our studies both in 3dimensional Lennard-Jones (LJ) system and Ising model (both 2and 3dimensions). Our general findings seem to be independent of the model chosen. While the previous chapter focuses on relatively well-studied 3-dimensional (3D) LJ system, in Chapter II.3 we present our studies on the characteristics of the nucleation phenomena in 2dimensional (2D) Lennard-Jones fluid. To the best of our knowledge this is the first extensive computer simulation study to check the accuracy of CNT in 2D. Using various Monte Carlo methods, we calculate the free energy barrier for nucleation, line tension, and bulk densities of equilibrium liquid and vapor phases, and also investigate the size and shape of the critical nucleus. The study is carried out at an intermediate level of supersaturation (away from the spinoidal limit). In 2D, a surprisingly large cutoff (rc ≥ 7.0σ where σ is the diameter of LJ particles) in the truncation of the LJ potential is required to obtain converged results. A lower cutoff leads to a substantial error in the values of the line tension, nucleation barrier, and characteristics of the critical cluster. Note that typically 2.5σ is sufficient for 3D LJ fluids. We observe that in 2D system CNT fails to provide a reliable estimate of the free energy barrier. While it is known to slightly overestimate the nucleation barrier in 3D, it underestimates the barrier by as much as 50% at the saturation ratio S = 1.1(defined as S = P/Pc, where Pc is the coexistence pressure) and at the reduced temperature T* = 0.427(defined as T* = KBT/ ε, where ε is the depth of the potential well). The reason for the marked inadequacy of the CNT in 2D can be attributed to the non-circular nature of the critical clusters. Although the shape becomes increasingly circular and the clusters become more compact with increase in cutoff radius, an appreciable non-circular nature remains even without any cutoff to make the simple CNT inaccurate. Part III again consists of three chapters and focuses on the conformational equilibria. Collapse transition and self-organized structures of n-alkanes in solution. In Chapter III.1 we carry out a brief survey of the existing theories of polymer in solution, with particular emphasis on the collapse process in poor solvents. We also introduce the concept of “hydrophobicity” and “hydrophobic collapse”, which is now a subject enormous interest, partly because it my help in understanding the initial processes involved in protein folding. We briefly discuss the subject of formation of beautiful self-organized structures by block copolymers, and also simple homopolymers which is essentially the focus of the work embodied in the next two chapters. In Chapter III.2 we demonstrated a chain length dependent crossover in the structural properties of linear hydrocarbon (n-alkane) chains using detailed atomistic simulations in explicit water. We identify a number of exotic structures o the polymer chain through energy minimization of representative snapshots collected from molecular dynamics trajectory. While the collapsed state is ring-like(circular) for small chains(CnH2n+2; n ≤ 20) and spherical for very long ones( n = 100), we find the emergence of ordered helical structures at intermediate lengths (n ~ 40). We find different types of disordered helices and toroid-like structures at n = 60. We also report a sharp transition in the stability of the collapsed state as a function of the chain length through relevant free energy calculations. While the collapsed state is only marginally metastable for C20H42, a clear bistable free energy surface emerges only when the chain is about 30 monomers long. For n = 30, the polymer exhibits an intermittent oscillation(characterized by well-developed 1/f noise, where f is the frequency ) between the collapsed and the coil structures, characteristic of two stable states separated by a small barrier. This appears to support a weakly first order phase transition between the extended and the collapsed states. Chapter III.3 extends the study of previous chapter to much longer chains (n ≥ 100), which irreversibly collapse in water into globular forms. Even though the collapsed form has a nearly spherical shape, close inspection shows a propensity towards local ordering in the alignment of the polymer segments. This tendency to maintain alignment in order to maximize the number of contacts leads to a core-shell like structure, where the shell is often characterized by a bent rod-like shape consisting of two adjacent segments running in parallel. A key event associated with the initial stage of collapse seems to be the formation of a skewed ring (or loop) that serves as a “nucleation center” for rest of the chain to collapse into. Time evolution of the radial distribution function of water surrounding the polymer, shows that the density of neighboring water decreases by only about 15-20% from that of bulk water. Even though interior of the ting-like structures is fully devoid of water, solvent accessible surface representation shows that these regions are geometrically/spatially inaccessible to water molecules. We suggest that the role of water is to stabilize such ring-like structures once formed by natural conformational fluctuations of the polymer chain. This view is confirmed by observation of spontaneous formation and melting away of such ring-like entities in a polar aprotic solvent(DMSO). We also comment on the role of the flexibility of polymer chains in determining the collapse kinetics. The last part(Part IV) of the thesis consists of two chapters that deal with the crystallization of linear polymer chains from dilute solution. The way long chain polymers crystallize is drastically different from their small molecule counterparts due to their topological connectivity. Linear polymers often crystallize from dilute solution in the form of thin lamellae with well-defined crystallographic features. In Chapter IV.1 we briefly survey the current theoretical understanding and confusions associated with the highly debated field of polymer crystallization. While the last few decades have seen the development of many successful phenomenological theories, the molecular mechanism of formation of such self-organized lamellae is extremely complex and very poorly understood. There are clearly two distinct steps in polymer crystallization. Firstly, the individual linear polymers must self-organize into bundles of somewhat regular structures. These structures then further aggregate to lamellar form and crystallize into a lattice. In this respect , it has marked similarity to the problem of protein crystallization. In chapter IV.2 we present Brownian dynamics simulation studies of a single polythelene chain of length 500. Such systems can reasonably mimic the process of crystallization from dilute solutions. Our simulations could successfully reproduce some of the interesting phenomena observed in experiments and very recent computer simulation studies, including multi-center nucleation of rod-like structures within a single polymer chain, an inverse relation between lamellar thickness and temperature etc. But our primary focus has been to understand the nature of the phase transition as one traverses along the melting temperature and the underlying free energy surface. Near the melting temperature we observe a very intriguing fluctuation between the disordered molten globule state and the ordered rod-like crystalline, where these two forms have highly different shape and structure. These fluctuations have strong signature of 1/f noise or intermittency. This clearly indicates the existence of a weakly first order transition, where two widely different states with large difference in values of order parameter are separated by a rather small free energy barrier. This can be related to the experimentally observed density fluctuations that resemble spinodal decomposition. It is important to note that very similar fluctuations have been observed in our previous studies on liquid crystals (Chapter 1.2) and intermediate sized alkalines in water(Chapter III.2) that signifies a universal underlying energy landscape for these systems. We have discussed the scope of future work at the end of each chapter whenever appropriate.

This thesis is about using nuclear magnetic resonance (NMR) spectroscopy for studying soft materials. Soft materials may be encountered everyday by most readers of this thesis, for example when taking a shower or watching TV. The usefulness of these materials originates from them being soft yet, at the same time, having some kind of a structure. The characteristic length scale of those structures is often on the order of nanometers (10-9 m) and the structure can respond to various external stimuli such as temperature, electric and magnetic fields, or the presence of interfaces. NMR spectroscopy excels when studying soft materials because it is a non-invasive technique with a large spectral resolution. Moreover, different NMR methods allow us to study local molecular dynamics or longer-range translational diffusion. Understanding those latter aspects is very important for the development of dynamic and responsive materials. Papers I-III present our work on assessing molecular adsorption on interfaces in colloidal dispersions. Here, carbon nanotubes (CNTs) or silica particles were the colloidal substrates to which proteins, polymers or surfactants adsorbed. Papers IV-VI concern ionic mobility in liquid crystals (LCs). The influence of material structure on, for example, the anisotropy of diffusion or on the association/dissociation of ions was studied in several LC phases. / QC 20110225