氮杂冠醚研究Ⅶ、双仲胺型氮杂冠醚对过渡金属离子的选择性萃取作用

合成了五种新型双仲胺型氦杂冠醚，研究了它们对过渡金属离子进行液—液萃取，并用原子吸收法测定其浓度。实验结果表明：这类冠醚对Ａｇ￣＋、Ｐｄ￣（２＋）、和Ｐｔ￣（４＋）等贵金属离子有较强的选择配位性能，对选择性分离这些金属离子有重要的意义。     

Formula for Analyzing Hopf Bifurcation

CesariandHaleshowedthat[1],usingLiapunov-Schmidtreduction,theHopfbifurcationcanbetreatedasbifurcationofzerosofacertainreducedmapping.Consideranautonomoussystemofordinarydifferentialequation(ODE)definedneartheoriginoftheformdudt A(λ)u F(u,λ)=0,　u∈Rn,λ∈Rm(1)whereλisthebifurcationparameter,A(λ)isann×nmatrix,A(0)satisfiestheHopfhypothesis:ithassimpleeigenvalues±iandhasnoothereigenvalueslyingontheimaginaryaxis,F(u,λ)arethehigher-ordertermsofuandbothofAandFareC∞functionsofλ.Fixed…     

Synthesis of an N-glycan decasaccharide of the hybrid type

A hybrid-type N-glycan decasaccharide GlcNAcMan₇GlcNAc₂ was synthesized from the pentasaccharide GlcNAcMan₂GlcNAc₂ as an advanced intermediate and an acyl-protected pentamannosyl donor. Benzyl mannoside was regioselectively benzoylated and glycosylated at OH-3 and OH-6 with a dimannoside to give the 3,6-branched pentamannoside. Coupling of the two pentasaccharides furnished the target decasaccharide in 60% yield. Deprotection of the base labile functions furnished a hybrid-type N-glycan decasaccharide functionalized for the conjugation with peptides or proteins.     

Variational approximations for renormalization group transformations

Approximate recursion relations which give upper and lower bounds on the free energy are described. Optimal calculations of the free energy can then be obtained by treating parameters within the renormalization equations variationally. As an example, a particularly simple lower bound approximation which preserves the symmetry of the Hamiltonian (the one-hypercube approximation) is described. The approximation is applied to both the Ising model and the Wilson-Fisher model. At the fixed point a parameter is set variationally and critical indices are calculated. For the Ising model the agreement with the exact results atd = 2 is surprisingly good, 0.1%, and is good atd=3 and evend=4. For the Wilson-Fisher model the recursion relation is reduced to a one-dimensional integral equation which can be solved numerically givingv=0.652 atd=3, or by expansion in agreement with the results of Wilson and Fisher to leading order in . The method is also used to calculate thermodynamic functions for thed = 2 Ising model; excellent agreement with the Onsager solution is found.Supported in part by the National Science Foundation under Grants Nos. MPS73-04886A01 and GH-41512 and by the Brown University Materials Research Laboratory supported by the National Science Foundation. M.C.Y. was supported by a grant from the Scientific and Technical Research Council of Turkey.     

珠江上游传统民歌评述

珠江上游传统民歌以其厚重的人文性,深刻的哲理性,多样的民俗性,独特的地域性,丰富的审美性,成为珠江上游各族人民的精神依托。作为非物质文化遗产重要组成部分的传统民歌,是珠江上游各族人民智慧与文明的结晶,是民族文化的命脉,它顽强的生命力折射出各民族的价值观审美观。长期以来,对促进民族团结,维护区域稳定起到了积极而重要的作用。在建成小康社会和建设美丽云南的新进程中,将会释放其文化支撑和心理基础的重要潜能。     

Generalized Bethe ansatz solution of a one-dimensional asymmetric exclusion process on a ring with blockage

We present a model for a one-dimensional anisotropic exclusion process describing particles moving deterministically on a ring of lengthL with a single defect, across which they move with probability 0 p 1. This model is equivalent to a two-dimensional, six-vertex model in an extreme anisotropic limit with a defect line interpolating between open and periodic boundary conditions. We solve this model with a Bethe ansatz generalized to this kind of boundary condition. We discuss in detail the steady state and derive exact expressions for the currentj, the density profilen(x), and the two-point density correlation function. In the thermodynamic limitL the phase diagram shows three phases, a low-density phase, a coexistence phase, and a high-density phase related to the low-density phase by a particle-hole symmetry. In the low-density phase the density profile decays exponentially with the distance from the boundary to its bulk value on a length scale . On the phase transition line diverges and the currentj approaches its critical valuej _c = p as a power law,j _c – j ^–1/2. In the coexistence phase the width of the interface between the high-density region and the low-density region is proportional toL ^1/2 if the density f 1/2 and=0 independent ofL if = 1/2. The (connected) two-point correlation function turns out to be of a scaling form with a space-dependent amplitude n(x₁, x₂) =A(x₂)A ^Ke^–r/ withr = x ₂ –x ₁ and a critical exponent = 0.     

Momentum space distribution of electrons in an atom using hydrogenic wave functions

A formulation is developed to derive exact analytic expressions for electron-electron correlation and density of electrons in momentum space using hydrogenic wave functions. It is shown that for large atoms the expression for density of electrons has a simple form.     

The incompatibility between local hidden variable theories and the fundamental conservation laws

I discuss in detail the result that the Bell’s inequalities derived in the context of local hidden variable theories for discrete quantized observables can be satisfied only if a fundamental conservation law is violated on the average. This result shows that such theories are physically nonviable, and makes the demarcating criteria of the Bell’s inequalities redundant. I show that a unique correlation function can be derived from the validity of the conservation law alone and this coincides with the quantum mechanical correlation function. Thus, any theory with a different correlation function, like any local hidden variable theory, is incompatible with the fundamental conservation laws and space-time symmetries. The results are discussed in the context of two-particle singlet and triplet states, GHZ states, and two-particle double slit interferometry. Some observations on quantum entropy, entanglement, and nonlocality are also discussed.     

Simulations of Co‐GISAXS during kinetic roughening of growth surfaces

The recent development of surface growth studies using X‐ray photon correlation spectroscopy in a grazing‐incidence small‐angle X‐ray scattering (Co‐GISAXS) geometry enables the investigation of dynamical processes during kinetic roughening in greater detail than was previously possible. In order to investigate the Co‐GISAXS behavior expected from existing growth models, calculations and (2+1)‐dimension simulations of linear Kuramoto–Sivashinsky and non‐linear Kardar–Parisi–Zhang surface growth equations are presented which analyze the temporal correlation functions of the height–height structure factor. Calculations of the GISAXS intensity auto‐correlation functions are also performed within the Born/distorted‐wave Born approximation for comparison with the scaling behavior of the height–height structure factor and its correlation functions.     

φ型风力机空气动力学特性研究

本文采用均匀多流管模型和多流管模型,建立了基于Troposkien曲线的Φ型垂直轴风力机气动性能的计算方法和程序。在多流管模型中加入了附加阻力系数修正和动态失速修正,提高了计算精度。分析了流管数目对流管模型计算结果,以及实度和高径比对Φ型风力机空气动力学特性的影响。