完全分配格上的点式拟一致结构

本文在完全分配格上建立了一种点式拟一致结构理论，许多一般拓扑中的相应定理都被得到了。特别地，我们证明了每个拓扑分子格都可以拟一致化。此外，还讨论了乘积拟一致分子格的拓扑结构。     

Investigation of Raman spectrum for nano-SnO2

The dependence of the microstructural change and lattice space symmetry of nano-SnO₂ on the annealing temperature has been studied systematically using Raman spectroscopy and X-ray diffraction. Comparing the results of nano-SnO₂ with the results of amorphous film and single crystal of SnO₂, it is found that the new Raman peaks N₁ and N₂ are in accordance with Matossi’s force constant model completely. When the annealing temperature is near 673K, the local lattice disorders and the density of vacant lattice decrease rapidly in the nano-SnO₂ grains. The lattice distortion and the new Raman peaks disappear almost at the same time. The possible mechanisms of the microstructural change and the new Raman peaks N₁ and N₂ are discussed. Project supported by the Foundation of State Science and Technology Commission and the Natural Science Foundation of Anhui Province.     

模右逆半群

半群的格方法－通过研究半群的子半群格来研究半群的特征和结构，与幂等元方法是研究半群的两种有效方法，本文利用这两种方法，完全确定了具有模的全右逆子半群的右逆半群的结构。     

MgO:LiNb0.3与LiNb0.3质子交换光波导光学及结构特征的比较

利用退火的质子交换法在MgO:LiNbO.3和LiNbO.3两种材料上制作了光波导，得到了质子交换的扩散特性以及光波导折射率分布的退火规律．通过x射线衍射和OH-红外吸收谱方法研究了 MgO:LiNbO.3和LiNbO.3质子交换光波导的结构特征及其与退火参数的关系，对MgO :LiNbO.3和LiNbO.3光波导光学和结构特征的结果进行了分析和比较． 关键词： 退火质子交换光波导 晶格结构 x射线衍射 红外吸收     

格上TL理想的性质及生成

本文利用完备Ｂｒｏｕｗｅｒ格Ｌ及Ｌ上的无穷Ｖ－分配ｔ－模定义分配格Ｍ上的ＴＬ理想，讨论一些基本性质，并给出由Ｌ子集生成的ＴＬ理想的计算公式．     

LF拓扑空间之间投影映射是开映射的一个充要条件

王国俊先生曾提出这样一个问题：设｛（Ｌ＾Ｘ，δｔ）｝ｔ∈Ｔ是一族ＬＦ拓扑空间，（Ｌ＾Ｘ，δ）是其乘积空间，Ｐｔ：Ｌ＾Ｘ→Ｌ＾Ｘｔ（ｔ∈Ｔ）是投影映射，问Ｐｔ是开映射的充要条件是什么？本文在较广范围－形如（Ｌ＾Ｘ，η）的拓扑分子格－内讨论类似问题，给出了上述问题的一个解答。     

Temperature variation of the Debye-Waller factors of metal and halide ions in CsCl and CsBr powders by X-ray diffraction. II. Debye-Waller factors of Cs+ and Br− ions in CsBr from room temperature to 78.2°K

The temperature variation of the Debye-Waller factors of Cs⁺ and Br⁻ ions in CsBr powder has been studied using powder X-ray diffraction. The integrated intensities of the Bragg peaks at different temperatures have been obtained. These results have been verified by structure factor least squares refinement program. Theoretical shell model lattice dynamical calculations have been done using a 7-parameter model in the harmonic approximation and the values compared with the present X-ray measurements. The observed intensities have been corrected for first order thermal diffuse scattering.     

Evolution systems on a lattice

In the framework of the algebraic geometric approach to differential-difference equations, we study symmetries and conservation laws of evolutionary systems on multidimensional lattices. We describe conservation laws in terms of their characteristics. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 157, No. 3, pp. 391–405, December, 2008.     

模糊幂格

本文研究了格向其模糊幂集上提升的问题.利用模糊集理论,引入了模糊幂格的概念,获得了模糊幂格及其模糊理想的若干基本性质,推广了格的结果.     

Two-sided bounds on the free energy from local states in Monte Carlo simulations

We show that a precise assessment of free energy estimates in Monte Carlo simulations of lattice models is possible by using cluster variation approximations in conjunction with the local states approximations proposed by Meirovitch. The local states method (LSM) utilizes entropy expressions which recently have been shown to correspond to a converging sequence of upper bounds on the thermodynamic limit entropy density (i.e., entropy per lattice site), whereas the cluster variation method (CVM) supplies formulas that in some cases have been proven to be, and in other cases are believed to be, lower bounds. We have investigated CVM-LSM combinations numerically in Monte Carlo simulations of the two-dimensional Ising model and the two-dimensional five-states ferromagnetic Potts model. Even in the critical region the combination of upper and lower bounds enables an accurate and reliable estimation of the free energy from data of a single run. CVM entropy approximations are therefore useful in Monte Carlo simulation studies and in establishing the reliability of results from local states methods.