四维模型空间中硼离子B^＋关联能的多体微扰计算

在（２ｓ＋２ｐ＋３ｓ）２四维模型空间中，利用由Ｂ—Ｓｐｌｉｎｅ构造的有限基集［３］，进行了硼离子Ｂ＋基态关联能的计算。在二阶微扰近似下，所得关联能为实验值［５］的９７．２％。     

等效电子组态的杨图描述与洪特定则的杨图解释

本文将描述等效电子组态中单电子轨道波函数的轨道磁量子数集合（ｍｌ，ｍ２，…，ｍＮ）填布电子组态对应的杨图，从而得到原子的可能状态，并对洪特定则作了解释．     

三热源循环的Bucher图

应用卡诺循环的Bucher图形象地表示出三热源循环，并由图中的相似三角形直接导出三热源循环的能量守恒方程、熵守恒方程和性能系数．     

Buckminsterfullerene, C60: Improved synthesis, electron microscopy, electron states, anions and related aspects

Buckminsterfullerene, obtained in good yields at high rates by a suitably designed generator, has been characterized by electron microscopy and in terms of an approximate energy level diagram; C₆₀ undergoes four reversible one-electron reductions giving rise to anionic species and interacts with tetrathiafulvalene to form a charge-transfer complex in the ground state.     

On Residue Symbols and the Mullineux Conjecture

This paper is concerned with properties of the Mullineux map, which plays a rôle in p-modular representation theory of symmetric groups. We introduce the residue symbol for a p-regular partitions, a variation of the Mullineux symbol, which makes the detection and removal of good nodes (as introduced by Kleshchev) in the partition easy to describe. Applications of this idea include a short proof of the combinatorial conjecture to which the Mullineux conjecture had been reduced by Kleshchev.     

Relation between structure and magnetism of TixFe100−x alloys within the C14 Laves-phase stability range

We report about X-ray and magnetic investigations on polycrystalline alloys with hexagonal C14 (MgZn₂) structure of the system Ti_xFe_100−x in the concentration range 30.5x36.5 around the Laves-phase composition TiFe₂ (Ti_33.3Fe_66.6). Neighboring compositions Fe₅₀Ti₅₀ (with B2 structure) and Ti₁₅Fe₈₅ and Ti₂₀Fe₈₀ (with BCC structure) have also been investigated. From the data we establish a magnetic phase diagram for the C14 range of the system, showing a rather sharp transition from mainly ferromagnetic ordering in the range x<32 to a mainly antiferromagnetic ordering in the range x>32. The results can be made plausible microscopically by taking the site dependence of the moments into account. A revised structural equilibrium phase diagram is also given.     

On Flat Flag-Transitive c.c *-Geometries

We study flat flag-transitive c.c ^*-geometries. We prove that, apart from one exception related to Sym(6), all these geometries are gluings in the meaning of [6]. They are obtained by gluing two copies of an affine space over GF(2). There are several ways of gluing two copies of the n-dimensional affine space over GF(2). In one way, which deserves to be called the canonical one, we get a geometry with automorphism group G = 2²ⁿ · L _n(2) and covered by the truncated Coxeter complex of type D ₂ ⁿ . The non-canonical ways give us geometries with smaller automorphism group (G ≤ 2²ⁿ · (2 ^n?1)n) and which seldom (never ?) can be obtained as quotients of truncated Coxeter complexes.     

Physicochemical study on selenites of the three-component system Yb2O3-SeO2-H2O

The solubility isotherm of the three-component system Yb₂O₃-SeO₂-H₂O at 100°C was studied. There are two fields of crystallization in the solubility diagram at this temperature - a small one of Yb₂(SeO₃)₃·4H₂O and a large one of YbH(SeO₃)₂·2H₂O. These compounds were identified by the Schreinemakers' method, and by chemical and X-ray analyses as well. Simultaneous TG and DTA curves of the two compounds obtained were made and the mechanism of the thermal decomposition was described. This revised version was published online in July 2006 with corrections to the Cover Date.     

Conservative semi‐Lagrangian advection on adaptive unstructured meshes

A conservative semi‐Lagrangian method is designed in order to solve linear advection equations in two space variables. The advection scheme works with finite volumes on an unstructured mesh, which is given by a Voronoi diagram. Moreover, the mesh is subject to adaptive modifications during the simulation, which serves to effectively combine good approximation quality with small computational costs. The required adaption rules for the refinement and the coarsening of the mesh rely on a customized error indicator. The implementation of boundary conditions is addressed. Numerical results finally confirm the good performance of the proposed conservative and adaptive advection scheme. © 2004 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 20: 388–411, 2004     

A Unified Approach to Combinatorial Formulas for Schubert Polynomials

Schubert polynomials were introduced in the context of the geometry of flag varieties. This paper investigates some of the connections not yet understood between several combinatorial structures for the construction of Schubert polynomials; we also present simplifications in some of the existing approaches to this area. We designate certain line diagrams for permutations known as rc-graphs as the main structure. The other structures in the literature we study include: semistandard Young tableaux, Kohnert diagrams, and balanced labelings of the diagram of a permutation. The main tools in our investigation are certain operations on rc-graphs, which correspond to the coplactic operations on tableaux, and thus define a crystal graph structure on rc-graphs; a new definition of these operations is presented. One application of these operations is a straightforward, purely combinatorial proof of a recent formula (due to Buch, Kresch, Tamvakis, and Yong), which expresses Schubert polynomials in terms of products of Schur polynomials. In spite of the fact that it refers to many objects and results related to them, the paper is mostly self-contained.