Though we know the forms of partition function before and after transformation , we will not study directly the property of partition function itself but the transformation which makes it unchanged with the idea of renormalization group 我们虽然利用p - v路方法写出了重整化变换前后配分函数的形式，但并没有直接研究配分函数本身的性质，而采用了重整化群的思想，研究使配分函数保持不变的变换。
Two ree distributed pattern , lree - depleted and flat , which display a specific character of typical mid - ocean ridge tholeiite , indicate that primary magma may be derived from near primary or a typical large ion lithophile element ( lile ) - depleted mantle 岩石稀土元素配分模式可分为lree平坦型和lree亏损型两类，指示了其原始岩浆起源于近原始或典型的大离子元素亏损型的地幔，为典型的大洋中脊拉斑玄武岩的特征。
After studying the relation of distributive function and density matrix , the electron energy is calculated in magnetic field according to the distributive function in the thermodynamic statistical physics and the density matrix average value principle in the quantum mechanics , respectively 摘要研究正则系综中的配分函数与密度矩阵的关系，分别采用热力学统计物理中的配分函数和量子力学中的密度矩阵与平均值原理，计算电子在磁场中的能量。
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 the 11 thermodynamic function fugacity as parameter , we can write out the partition functions before and after transformation and the formula of renormalization 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。
Based on the data of the rare - earth element in coals from coal seams of the late permian liupanshui , leping , huangshi and chongqing coal mining districts in south china , this paper focuses on the discussion of the characters of content distribution , occurrence , distribution pattern and geologic factors of the rare - earth element in coals in the studied districts 摘要在华南地区贵州六盘水、江西乐平和湖北黄石矿区以及重庆钟梁山和磨心坡煤矿晚二叠世煤的稀土元素电感耦合等离子质谱分析数据的基础上，系统研究了华南地区煤的稀土元素的质量分数分布特征、赋存特征、配分模式及其地质控制因素。
The mafic rocks have high ( 87sr / 86sr ) j ( 0 . 7046 - 0 . 7077 ) and 207pb / 204pb ( 15 . 47 - 15 . 67 ) , but relatively low in ( 143nd / 144nd ) i ( 0 . 5125 - 0 . 5127 ) and 206pb / 204pb ( 18 . 26 - 18 . 52 ) . the negative correlation between 143nd / 144nd and 206pb / 204pb and the positive relationship between 87sr / 86sr - 206pb / 204pb suggest a mixing of a depleted mantle source and an em2 component in the study area . calculation reveals that the maopin - shaianjiao mafic rocks are formed by 5 - 15 % degree of partial melting of an lree - riched spinel iherzolite 模拟计算表明，该基性岩墙群是尖晶石二辉橄榄岩地幔5 - 15部分熔融的产物；微量元素配分模式及理论模拟表明茅坪?晒鞍角基性岩体的地幔源区在熔融前曾受到1俯冲沉积物熔体的源区混染和5流体交代作用。
The pges abundance patterns of residual mantle rock with a peleo - subduction background is characterized by pd , pt depletion and ir , ru relatively enrichment , while the basalt and basic dyke by the processing of partial melt in the same background take an opposite feature of pd , pt enrichment and ir , ru depletion . the existence of fluid in the subduction zone increases the degree of partial melt on the one hand , and on the other , activates the activity of pd , pt compare to ir , ru , and thus reduces the pd ir and pt ru in residual mantle rock . the pges patterns for basalt and basic dyke from two carboniferous volcano zones to south qoltag and north turpan - hami basin , xinjing uigur autonomous region , take a shape of gentle positive inclined curve with lower pt and pd differentiation and lower pges . all these features are obviously different from that of basic dyke and basalt from typical ophiolite and therefore the author believe that their fluid - rich paleo - subduction zone environment can be ruled out 古俯冲带背景下的残余地幔岩的pges配分以pd , pt明显亏损和ir , ru相对富集为特征，而部分熔融产物的玄武岩和基性岩脉则呈现相反的ir , ru明显亏损和pd , pt相对富集特征。俯冲带中流体的参与一方面增加了部分熔融程度，有利于pd , pt从原始地幔进入熔融相另一方面，流体的作用使得pd , pt相对于ir , ru迁移活动性效率提高，造成地幔岩中
A ree partition simulation suggests that the tianzhushan intermediate rocks can be generated by partial melting , in coupling with fractional crystallization , of dioritic gneiss which is similar in chemical compositions to the mafic rocks in the lower crust in north dabie ; partial melting of intermediate grey gneiss which is similar in chemical compositions to the middle crust in north dabie can generate the tianzhushan felsic rocks Ree配分的定量模拟计算结果表明，与基性下地壳相似的北大别基性闪长质片麻岩部分熔融并经过结晶分异能够形成与天柱山中性岩类似的稀土元素组成，而与中性地壳相似的北大别中性灰色片麻岩部分熔融能够形成与天柱山花岗岩类似的稀土元素组成。
Cl , s , f , tongchang porphyry copper deposit and the dajishan tungsten deposit are selected as the studying objectives , detailed investigations have been conducted into the geological and geochemical characteristics of the granitic rock , biotite , trace element and ree geochemistry , fluid inclusion geochemistry and the partitioning coefficients of the f , cl , cu , w . based on these data , the following conclusions are drawn : ( 1 ) fluorine can reduce the viscosity and density of magma , temperature of solide - liquidus line and change the melt frame , but cl has little effect on the melt 主要的认识如下： ( 1 ) f在花岗质岩浆中，可以降低岩浆的粘度、密度、固液相线温度、改变熔体结构，而cl对熔体结构没有多大的影响。 f在流体?花岗质熔体相间，绝大多数配分系数小于1 . 0 ，趋向于熔体相中配分， d _ f随体系中f浓度的升高而增加。
Strong negative 8 eu shows the granites are high evolved granite . ( 6 ) the tetrad effect of ree and the obvious fractionation between k - rb , y - ho , zr - hf , nb - ta , and sr - eu in the dajishan granites indicate that , the aqueous fluid pays an important role in the evolution of the granites , as well as indicate that there exist enough interaction between peraluminous melt and aqueous magmatic fluid . furthermore the fluorine played a very important role in this process ( 6 )大吉山花岗岩类稀士元素具有“四重效应”配分的特点以及微量元素对kjrb 、 y / ho 、 zr舰f以及nb / ta发生明显分异，暗示在花岗岩岩浆的演化过程中，经历了充分的流体一熔体作用，同时分异出大量富含f 、 w等矿化剂元素和成矿元素的热液流体，致使钨矿的形成。
