Recently, Iwamoto[1] has proposed a passive-matrix LCD called VA-STN-LCD (Verically Aligned Super Twist Nemetic LCD), in which excellent electro-optic (EO) performance under high-multiplexing conditions has been demonstrated. It was pointed out that such a high EO performance was realized by achieving a pretilt angle of about 80 degree. In this study, we want to learn the different EO characteristic of separate pretilt angle and separate chiral-doped concentration of Negative Dielectric Anisotropy nemetic liquid crystal in vertically aligned cell.

A novel holographic model of chiral symmetry breaking has been proposed by Kuperstein and Sonnenschein by embedding non-supersymmetric probe D7 and anti-D7 branes in the Klebanov-Witten background. We study the dynamics of the probe flavours in this model in the presence of finite temperature and a constant electromagnetic field. In keeping with the weakly coupled field theory intuition, we find the magnetic field promotes spontaneous breaking of chiral symmetry whereas the electric field restores it. The former effect is universally known as the ``magnetic catalysis" in chiral symmetry breaking. In the presence of an electric field such a condensation is inhibited and a current flows. Thus we are faced with a steady-state situation rather than a system in equilibrium. We conjecture a definition of thermodynamic free energy for this steady-state phase and using this proposal we study the detailed phase structure when both electric and magnetic fields are present in two representative configurations: mutually perpendicular and parallel. / text

In this dissertation, two exactly solvable models from the Kitaev class [Ann. Phys. 321, 2 (2006)] of exactly solvable models are analysed. In the second chapter, Kitaev models and their generic properties are reviewed. Majorana fermions are introduced and discussed. Then their relationship with the solution of Kitaev models are discussed which involves the emergence of a Z₂ gauge symmetry and anyonic particles of both Abelian and non-Abelian varieties. The third chapter, which is based on the research article [Phys. Rev. B (Rapid Comm.) 83, (2011)], examines the Kitaev model on the kagome lattice. A rich phase diagram of this model is found to include a topological (gapped) chiral spin liquid with gapless chiral edge states, and a gapless chiral spin liquid phase with a spin Fermi surface. The ground state of the current model contains an odd number of electrons per unit cell which qualitatively distinguishes it from previously studied exactly solvable models with a spin Fermi surface. Moreover, it is shown that the spin Fermi surface is stable against weak perturbations. The fourth chapter is based on the article [Phys. Rev. B 84,(2011)] and analyses a disordered generalisation of the Yao-Kivelson [Phys. Rev. Lett. 99,247203 (2007)] chiral spin-liquid on the decorated honeycomb lattice. The model is generalised by the inclusion of random exchange couplings. The phase diagram was determined and it is found that disorder enlarges the region of the topological non-Abelian phase with finite Chern number. A study of the energy level statistics as a function of disorder and other parameters in the Hamiltonian show that the phase transition between the non-Abelian and Abelian phases of the model at large disorder can be associated with pair annihilation of extended states at zero energy. Analogies to integer quantum Hall systems, topological Anderson insulators, and disordered topological Chern insulators are discussed. / text

Described in this thesis is the isolation of two microorganisms containing a nitrile hydratase and amidase to effect the enantioselective hydrolysis of a-substituted nitriles to their corresponding amides and acids. Isolate NP3854 was identified as an atypical Rhodococcus sp. The nitrile hydratase proved to be non-selective for all the substrates tested. However, carboxylic acids with excellent enantiomeric excess were obtained from a large number of amides. X R~CN H nitr-il-e--h-y-d-r.a~tase ~X amidas.e RH CONH2 X R~"""CO H H 2 Optically active acids with an enantiomeric excess of, generally, >98 %, were obtained when X = NH2, Me and Cl, but proved to be racemic for OH and Br. R could be a variety of aromatic, cyclic and acyclic alkyl residues without adversely affecting the enantioselectivity. The pH-activity profile was determined for the amidase of NP3854 using propionamide as the substrate. From this data, coupled with inhibition studies, it may ,.tentatively be suggested that the amidase has a histidine residue in the active site, which may act as a general base for a serine amino acid. The pH-activity profile was determined for 2-amino-2-phenylacetamide 2b, and this suggested that the unprotonated form of the amine acted as the substrate. Within a pH range of 3 - 9 the enantiomeric excess remains high (>98 %) and experimentally invariant. The amidase was found to have a temperature optimum of 60°C and could tolerate 20 % THF with a loss of only 15 % activity. Attempts made to hydrolyse 4,5,6-amino nitriles and amides to the corresponding amino acids and isolate any reaction intermediates failed. This was presumed to be due to the large fraction of the unprotonated amine due to the higher pKa (- 9 - 10).

Synthetic efforts toward fumonisin analog were described. These are accomplished via amino acid Schiff base methodology. These efforts can be divided three major phases. First, tandem reductive alkylation with DIBAL/TRIBAL and different types of organo-lithium or Grignard nucleophiles provided threo-amino alcohol with excellent stereoselecitivites (2-27:1). The reductive alkylation utilized most hydrocarbon nucleophiles, e.g. alkyl-, vinyl-, alkenyl-, phenyl-, and dienyl-, and afforded high selectivites unless donor solvents (e.g. THF and Et2O) were used. Second, syntheses of the protected threo-γ-amino-β-hydroxy aldehydes and their stereoselectivities were introduced. The reductive alkylated threo-amino allyl alcohol was transformed via Brown’s hydroboration/oxidation protocol with 9-BBN, followed by TEMPO oxidation to give the resultant aldehydes in reasonable yields. Then, TBDPS and Schiff base protected aldehyde was coupled with phenyl- and decyl Grignard reagents to obtain predominant 3,5-anti-diols (ca. 80:20 anti:syn), characterized by ¹³C NMR analysis of Rychnovsky’s 1,3-acetonide groups. Products can be useful analogues for fumonisin and 5-hydroxy-sphingosine due to their structural similarity. Third stage involved the synthesis of C₁₁-C₂₀ fragment analog of fumonisin. Chiral auxiliaries (e.g. Evans and Myers) were administrated for stereoselective methylation, Sharpless asymmetric dihydroxylation in the presence of (DHQ)2PHAL catalyst was performed to form 1,2- syn-diols, and the manipulation of protection/deprotection and Finklestein reaction furnished C₁₁-C₂₀ fragment analog of fumonisin.

The racemic (±)-2,4-di-tert-butyl-6-(((2-(dimethylamino)cyclohexyl)(methyl) amino)methyl)phenol ((±)-(NNMeOtBu)H), (±)-2,4-di-tert-butyl-6-((2-(dimethylamino) cyclohexylamino)methyl)phenol ((±)-(NNHOtBu)H), and (±)-2-(((2-(dimethylamino) cyclohexyl)(methyl)amino) methyl)phenol ((±)-(NNMeOH)H) are chiral ancillary NNO proligands, which synthesis was adapted from a published procedure. Reaction of (±)-(NNMeOtBu)H ((±)-2), (±)-(NNMeOH)H ((±)-3) and (±)-(NNHOtBu)H ((±)-1) with ZnEt2 successfully yielded the corresponding zinc ethyl complexes (±)-5, (±)-6 and (±)-7 respectively; the enantiomerically pure (R,R)-5 was synthesized from (R,R)-2. NMR spectroscopy experiments and X-ray crystallography allowed identification of two stereoisomers for (±)-5, which were observed in solution and in the solid state. The two stereoisomers, 5-α and 5-β, are in equilibrium in solution, with 5-β being thermodynamically favored. The zinc ethyl complexes were found to be unreactive towards weakly acidic alcohols (methanol, ethanol, isopropanol). However, the zinc chloride complex (±)-(NNMeOtBu)ZnCl ((±)-8) and the zinc phenoxide (NNMeOtBu)ZnOPh ((±)-9 and (R,R)-9) could be isolated and characterized. Comparison of the reactivity of both (±)-5 and the reported L₁ZnEt (L₁ = 2,4-di-tert-butyl-6- {[(2'-dimethylaminoethyl) methylamino]methyl}phenolate) in presence of pyridine led to the proposal of a dissociative mechanism explaining the fundamental difference between the two zinc ethyl species. Polymerization of rac-lactide catalyzed by 9 showed that the complex, in its racemic or enantiomerically pure version, has a slow activity and is not stereoselective.

No description available.

No description available.

A series of kinetically stable chiral lanthanide complexes has been developed, with a view to developing responsive probes for use in analysis and in seeking chiral complexes exhibiting selectivity in their interaction with nucleic acids. Firstly a pH sensitive complex has been modified with the aim of tuning the pH range to which it responds to the physiologically useful regime. The synthesis was undertaken of relatively lipophilic 6-butylphenanthridinyl complexes. Their photophysical behaviour was investigated by absorbance and luminescence spectroscopy and the modulation of their emission examined in the pH range 4.5 to 7.5.In addition to their luminescent properties, enantiomerically pure chiral lanthanide complexes permit chiroptical techniques to be used, allowing their interactions with other chiral species to be addressed (e.g. nucleic acids, oligonucleotides).The first series of enantiopure lanthanide complexes has been devised that show several interesting features in binding to oligonucleotides and nucleic acids. These macrocyclic tris-and tetra-amide lanthanide (Eu, Tb or Yb) complexes contain an N-alkyl phenanthridinium unit that allows intercalation between the base pairs of the DNA. Their binding to [(AT)(_6)](_2), [(CG)(_6)](_2) and CT-DNA was monitored by changes in the ligand and metal based luminescence, and in the characteristic CD bands of the oligonucleotides. Binding affinities were assessed using intrinsic methods and the McGhee-von Hippel analysis. Marked differences have been observed in the binding of Eu and Yb complexes as a function of the A and Δ helicity of the complexes, which is itself determined by the configuration of the remote amide substituents. Binding of the A-Eu complex was over 50 times stronger to [(CG)(_6)](_2) compared to [(AT)(_6)](_2), while the left handed Δ-Yb complex showed a different pattern of selectivity. In the europium complex of a related heptadentate tris-amide ligand, the coordination of a DNA phosphate group to the lanthanide centre was suggested by emission and lifetime changes. Another series of chiral tetraamide complexes linked to the 6 position of the phenanthridine moiety was synthesised and studied. An additional stereogenic centre at carbon, alpha to the phenanthridine group was introduced with the aim of tuning the selectivity of binding. A set of four diastereoisomeric ligands was separated and their lanthanide complexes characterised. The binding of their Eu and Yb complexes was evaluated and differences between Eu and Yb complexes persisted. The additional chiral centre did not appear to modify the binding affinity of this series of complexes. Finally, a series of 6-phenanthridinyl complexes was investigated in which the phenanthridine N atom was directly bound to the lanthanide centre. Their affinity for DNA was found to be relatively low, which may be related to their rigid structure.

No description available.