We consider the Ising model on a cylindrical lattice of L columns, with fixed-spin boundary conditions on the top and bottom rows. The spontaneous magnetization can be written in terms of partition functions on this lattice. We show how we can use the Clifford algebra of Kaufman to write these partition functions in terms of L by L determinants, and then further reduce them to m by m determinan...

Chiroptical activities of Au 13 superatom modified with chiral ligands were enhanced by doping an Ir atom at the center core. The IrAu 12 exhibited brighter circularly polarized luminescence than superatom.

The concise, enantioselective total syntheses of (-)-citrinadin A and (+)-citrinadin B in a total of only 20 and 21 steps, respectively, from commercially available starting materials are described. Our strategy, which minimizes refunctionalization and protection/deprotection operations, features the highly diastereoselective, vinylogous Mannich addition of a dienolate to a chiral pyridinium sa...

One-pot, four-component procedure for the synthesis of a small library of new chiral spiro- oxindolopyrrolidines with high regio-, diastereo- (>99:1 dr), and enantioselectivity (up to 80% ee) is described. In this process, the regio- and stereochemical 1,3-dipolar cycloaddition of azomethine ylides, which were generated insitu by the reaction of isatin derivatives and sarcosin,with optically ac...

A sterically demanding unsymmetrical pentafluorophenyl-triisopropylphenyl-λ(3)-iodane was developed as an effective reagent for the electrophilic pentafluorophenylation of various β-keto esters and a β-keto amide. 17 examples of α-pentafluorophenylated 1,3-dicarbonyl compounds 3 having a quaternary carbon center are provided. The resulting compounds were nicely transformed into chiral α-pentafl...

We study the relation between center vortices and instantons in lattice QCD. One approach to understanding the physical origin of confinement and chiral symmetry breaking is to attempt to capture the essential physics in a much smaller number of degrees of freedom by projecting from a maximal abelian or maximal center gauge. For simplicity, we consider SU (2) and denote a link variable transfor...

The ester functionality does not introduce a center of asymmetry and thus optical and geometric isomerism does not result from the presence of this functional group. The ester functionality (the carbonyl and ether oxygen) is composed of an sp hybridized carbon so it cannot be chiral, and since there is free rotation about the ether bond geometric isomerism also is not possible at the sp center....

   In chiral and non-chiral electrophoretic resolution of basic drugs, adsorption of analytes to negatively charged capillary wall could lead to poor repeatability of migration time and peak area. In addition, chiral resolutions of basic drugs are commonly performed in low pH buffers. Therefore, longer analysis time due to suppression of electroosmotic flow (EOF) is another dilemma. In this wor...