配分函数

The probability distribution function G of particle number N^＋ is deduced on the basis of the Canonical partition function Z of an ideal Fermi gas（ The orbital motion of the fermi- ons is not considered） in weak magnetic field.

根据弱磁场中理想费米气体的正则配分函数Z，导出粒子数N＋的几率分布函数G。

The relationship among three ensemble s (microcanonical ensemble ,canonical ensemble ,and grand canonical ensemble ) was discussed by means of derivation of distribution function,calculation of partition function,clarification of the basic thermodynamics as well as the fluctuations of particles in order to get profound cognition of these three ensemble s.

从三则系综(微正则系综、正则系综和巨正则系综)分布函数的推导，配分函数的计算，基本热力学量的表达及能量、粒子数的涨落等方面来讨论三则系综之间的关系，以便更深刻地认识三则系综之间的关系、灵活运用三则系综来解决实际问题。

Using relativistic multi-configuration Dirac-Fock theory,we calculate the transition data of 3dj-nfj'(n=5,6,7) for the M-shell from an Ni-like Au ion to an As-like Au ion using the GRASP programme with the corepolarization,quantum electrodynamical effect and Breit correction.

根据扩展的相对论多组态Dirac-Fock理论计算得到的Au^47＋～Au^53＋离子的平均离子寿命、能级能量和能级简并度，计算了各离子的电离速率常数、复合速率常数和配分函数，并由此得到了离子间的电离-复合平衡常数。

Show that the result agrees with the partition function of an ideal Fermi gas.

证明结果与理想费米气体的配分函数一致。

To find the partition function at finite temperature, go to imaginary time, t →-it, and

为了找出有限温度下的配分函数，在虚时间下t→-it，对反对易变数和，积分

In the thermodynamic limit, the zeros accumulate nearly the transition point z_0 in the real axis and the density of zeros near z_0 determines the order of the phase transition.

在热力学极限下，配分函数零点在正实轴上集聚的那些点z_0给出了相变的位置，同时在z_0附近的配分函数零点密度决定了相变的类型。

In this article, we use three multifractal analysis methods, which are partition function method, singular spectrum method and multifractal detrended fluctuation method, to analyse the closing price series during the past seven years in Shanghai Stock Market with different time scales.

作者将多重分形分析的三种方法（配分函数分析法、奇异谱分析法和多重分形趋势消除波动分析法）应用于我国上海证券市场在过去七年中的收盘指数序列，分析了不同时间标度对多重分形特性的影响。

Statistical thermodynamics connect the macroscopical nature of the system and micro nature, reflecting laws of the objective world

本课程主要内容有Maxwell—Boltzmann统计、量子统计的基本概念和应用、分子配分函数的概念及计算、分子配分函数和热力学函数的关系、热力学性质的计算、系综原理、统计热力学在物理化学中的应用。

Then the structure unit of hexangular lattice is found according to the principle of invariable symmetry. Renormalization transformation is processed when we regard the structure unit and the growth model as graphs before and after transformation respectively. After choosing the11thermodynamic function fugacity as parameter, we can write out the partition functions before and after transformation and the formula of renormalization transformation. At the same time, we also work out the fixed points of transformation.

然后根据对称性不变的原则，从整体晶格中选取结构单元，把结构单元和生长模型分别作为重整化变换前、后的图形来进行重整化变换，选取热力学函数易逸度为参量，写出了重整化变换前后的配分函数和重整化变换关系式，求出了这一变换的不动点。

The equilibrium geometry,force constants and vibronic frequencies of the SiO2 molecule with linear structure have been optimized by using the Gaussian03 with B3P86/cc-PVTZ; The total internal partition sums were calculated for silicon dioxide with the product approximation. For rotational partition sums Qrot, the centrifugal distortion corrections are under consideration.

应用Gaussian03程序，在B3P86/cc-PVTZ水平上，对二氧化硅分子线性结构进行优化计算，得出其平衡几何构型、力常数和谐振频率等性质参数；采用乘积近似法构建模型计算了二氧化硅分子从20-6000K的总配分函数，其中转动配分函数考虑了离心扭曲修正，振动配分函数采用谐振子近似。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。