An investigation of finite-size scaling for systems with long-range interaction: The spherical model

A method is suggested for the derivation of finite-size corrections in the thermodynamic functions of systems with pair interaction potential decaying at large distancesr asr ^{–d –} , whered is the space dimensionality and>0. It allows for a unified treatment of short-range (=2) and long-range (<2) interaction. The asymptotic analysis is illustrated by the mean spherical model of general geometryL ^d–d× ^d subject to periodic boundary conditions. The Fisher-Privman equation of state is generalized to arbitrary real values ofd, 0d. It is shown that the-expansion may be used to study the breakdown of standard finite-size scaling at the borderline dimensionalities.     

On Super-KMS functionals and entire cyclic cohomology

We formulate the super-KMS condition suggested by Connes and Kastler, in the context of entire cyclic cohomology of quantum algebras. We show that the Chern character of Jaffe, Lesniewski, and Osterwalder — associated by Kastler to a super-KMS functional — satisfies the entire growth condition. Hence, a super-KMS functional defines a cocycle for the entire cyclic cohomology of quantum algebras.Supported in part by the National Science Foundation.     

The many limits of mixed means

The sequences introduced by Carlson (1971) are variants of the Gauss arithmetic geometric sequences (which have been elegantly discussed by D. A. Cox (1984, 1985)). Given (complex)a ₀,b ₀ we define

染料中间体间氨基-N-取代-苯磺酰胺的合成研究

以间氨基苯磺酸为原料，经乙酰化保护氨基，用氯磺酸／氯化亚砜将磺箕转变为磺酰氯，再分别与氨基G酸、吐氏酸、γ－酸、6－氨基－1，3－萘二磺酸、5，6－二氨基－1，3－萘二磺酸胺化缩合，水解去乙酰基，较高收率地合成了间氨基－N－取代－苯磺酰胺类染料中间体。产物结构经元素分析、红外、核磁和质谱确证。     

Asymmetric Baeyer—Villiger oxidation: control of stereoelectronic demand

The recent development of asymmetric Baeyer—Villiger oxidation of prochiral and racemic ketones is briefly summarized, focusing on the regio- and stereocontrol of the oxidation attained by regulating the stereoelectronic demand in the step of rearrangement of the Criegee intermediate.Based on the report presented at the International Conference Modern Trends in Organoelement and Polymer Chemistry dedicated to the 50th anniversary of the A. N. Nesmeyanov Institute of Organoelement Compounds of the Russian Academy of Sciences (Moscow, May 30–June 4, 2004).Published in Russian in Izvestiya Akademii Nauk. Seriya Khimicheskaya, No. 9, pp. 1784–1794, September, 2004.     

模板剂与ＭＣＭ-22分子筛匹配作用的分子模拟计算

本文用Ｍｏｎｔｅ Ｃａｒｌｏ方法和分子力学方法研究了模板剂分子六次甲基亚胺(ＨＭＩ)在ＭＣＭ-22分子筛孔道中的排布与取向。模拟结果表明模板剂分子能够稳定地嵌入在ＭＣＭ-22分子筛的超笼、窗口和正弦孔道中。对这三种位置上模板剂与分子筛骨架之间的主客体非键相互作用能(包括范德华能和库仑能)进行了计算,结果表明模板剂分子与分子筛的骨架之间作用力主要以范德华吸引力为主。本文还进一步讨论了模板剂分子的结构导向作用和对骨架Ａｌ的靶向作用。     

[2+2]-Photocycloaddition von Cyclohexen an 2-Acetyl-5,5-dimethyl-1,3-cyclohexandion und 3-Acetyl-1,5,5-trimethyl-2,4-pyrrolidindion

Summary Irradiation of solutions of excess cyclohexene and 2-acetyl-5,5-dimethyl-1,3-cyclohexanedione (1), and 3-acetyl-1,5,5-trimethyl-2,4-pyrrolidinedione (4) results mainly in the formation of 1,5-diones2 and5. These originate from intermediate cycloadducts of cyclohexene and theexo-enols of the cyclic 1,3-diketones. The yields decrease with increasing polarity of the solvent. In solution2 and5 are in equilibrium with the cyclic hemiacetales3 and6.

     

1-苯基-3-甲基-4-苯甲酰基-5-吡唑酮与甲基膦酸二(1-甲基庚基)酯对Pb(Ⅱ)、Cd(Ⅱ)和Cu(Ⅱ)的萃取机理研究

本文用两相滴定法研究了1-苯基-3-甲基-4-苯甲酰基-5-吡唑酮(PMBP,简写为HA)与甲基膦酸二(1-甲基庚基)脂(P_(350),简写为B)对Pb~(2+)、Cd_(2+)和Cu~(2+)离子在不同的有机溶剂中的萃取机理.(?)定了萃合物的组成分别为:MA_2(M=Pb~(2+)、Ca~(2+)、Cu~(2+));MA_2·HA(M=Cd~(2+));MA_2·B(M=Pb~(2+)、Cd~(2+))和MA_2·2B(M=Cd~(2+)),同时求得了相应的萃合常数β值.     

A novel method for synthesizing diorganylphosphinous acids from red phosphorus and arylalkenes

The reaction of styrene and -methylstyrene with P in aprotic polar solvents in the presence of KOH affords diorganylphosphinous acids.Translated fromIzvestiya Akademii Nauk. Seriya Khimicheskaya, No. 9, pp. 1680–1681, September, 1994.     

The search for a new model structure of β-Factor XIIa

We present the search for a new model of -factor XIIa, a blood coagulation enzyme, with an unknown experimental 3D-structure. We decided to build not one but three different models using different homologous proteins as well as different techniques and different modellers. Additional studies, including extensive molecular dynamics simulations on the solvated state, allowed us to draw several conclusions concerning homology modelling, in general, and -factor XIIa, in particular.