点阵函数

By using the group-chain, the wavefunctions of the 4f〓 configuration for RE ions are also expressed as linear combinations of group-chain basis functions in Butler's irreducible representation notation. The matrix elements of the CF Hamiltonian then are calculated by means of the Wigner-Eckart theorem and factorization lemma of the jm factors. Before the CF level fitting, a point-charge calculation of the conventional CF parameters B〓 has been performed by means of the lattice-sum technique from the known crystal structure data. The corresponding parameters in the group-chain are calculated by the conversion relationship between two schemes that proved identical in essence, which are usually used as initial values in the fit to the experimental levels. The ratios of the same k-value CF parameters are suggested as the constraint conditions in the fit, in order to utilize fully the symmetry distortion degree of the studied system.

利用群链理论，属稀土离子4f〓组态的波函数表示为以不可约表示标记的群链基波函数的线性组合；借助Wigner-Eckart定理和2jm和3jm因子的分解定律计算了晶场哈密顿的矩阵元；根据点电荷模型和已知晶体结构数据，利用点阵求和技术计算得到传统晶场参数B〓初值，相应的非传统形式的群链参数初值则由两种方案下的转换关系求得；这些初值通常作为非线性拟合晶场能级计算的初值，系统的对称性畸变信息则反映在以同阶晶场参数的比值作为能级拟合的约束条件。

In fact, the total energies for the possible metastable alloy phases of A〓B and AB〓 types of six possible structures were calculated as a function of their lattice constant to find out if the respective metastable phases of A〓B or AB〓 types could be relatively stable in the selected systems. The calculation not only predicted the possible metastable states but also the lattice constant of the corresponding metastable alloy phases of either FCC or HCP structures.

对可能存在的A〓B或AB〓型亚稳合金相的六种结构，将总能量作为点阵常数的函数进行了计算，用以找到选定系统中相对稳定的A〓B或AB〓型亚稳合金相。

The universal expression of Laue equation and two theorems on reciprocal space and reciprocal vector are obtained and proved.

讨论和研究了干涉函数对衍射的影响，提出并证明了Laue方程的一般表达式和有关倒易空间与倒易向量的2个定理，研究了作为三维晶体特例的二维晶体的衍射，讨论了二维晶体倒易点阵的物理内容和点阵点的权重。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。