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Based on the crystal field theory, perturbation formulas of the spin Hamiltonian parameters g-factors (fourth-order) and the hyperfine structure constants (third-order) of 3d9 ions under tetragonal symmetry are established for the cases of small spin-orbit coupling coefficients and large spin-orbit coupling coefficients of the ligands.

本文基于晶体场理论，在较统一的理论模型和计算方法基础上运用微扰法分别对配体旋轨耦合系数较小和配体旋轨耦合系数较大的情况建立了3d9离子的自旋哈密顿参量g因子的四阶微扰公式和A因子的三阶微扰公式。

Since the contribution of the spin-orbital coupling interaction of the ligand to optical and electron paramagnetic resonance spectra can not be neglected, the optical and EPR spectra g factors g‖、g⊥ and hyperfine structure constant A‖、A⊥ of LiHSO4:VO2+ crystal are calculated from the high-order perturbation formulas on the basis of double-spin-orbital coupling model and crystal-field theory for 3d1 ion in tetragonal symmetry.

考虑到配体离子的自旋－轨道耦合作用对光谱和电子顺磁共振谱的贡献不可忽略，采用3d1离子在四角对称下基于双自旋－轨道耦合模型的高阶微扰公式和晶场理论公式，理论计算了LiHSO4：VO2+晶体的光谱和电子顺磁共振参量g因子g‖、g⊥和超精细结构常数A‖、A⊥。

The second-order perturbation formulas of the g factors and hyperfine structure constants for the lowest Kramers doublet Γ〓 of a 3d〓 ion under various octahedral symmetries (cubic, tetragonal, trigonal and rhombic) are established.

在较统一的理论模型和计算方法上建立了在各种对称性（立方、四角、三角和斜方）的八面体晶场中3d〓离子最低Kramers双重态Γ〓的g和A因子的二阶微扰公式，其中包含了前人通常忽略的组态相互作用、共价效应以及低对称畸变对自旋哈密顿参量的贡献。

Through the transition from water thin-layer scattering to thick-layer scattering, scattering field and depolarizability of laser in water are tested, and simplified field strength formulas for forward and backward scatterings are derived.

然后从薄层散射过渡到厚层散射，检测了激光在水中的散射场和退偏振度，并对前向散射和后向散射导出了简化的场强计算公式。

This paper analyzes the process of calculation and gives some simplified formulas for calculation through simplifications and approximations of the process.

本文分析了这一计算过程，并结合空气调节工程的实际情况，作了一些简化，且用诺模图来代替简化后的公式。

Their formulas are presented as following:( 1 ) [Co2C6H2(COO44]n ( 2 ){[Co2(C2O4)C6H2(COO4(H2O)4] -4H2O-(NH2CH2COOH)}n ( 3 ){[Co(H2O)6][Co(H2O)4C6H2(COO4] . 4H2O}n These coordination polymers have been characterized by IR,UV-VIS-NIR spectroscopes. The variable temperature magnetic susceptibilities(1.5-300K)of complex (1) and (2) have been measured and studied. Complex (1) and (2) exhibit the anti-ferromagnetic property. The spin-transition phenomenon of complex (2) takes place at 17K.

经X-光衍射测定，确定了它们的结构，分子式如下：(1)[Co_2C_6H_2(COO_4_4]_n (2){[Co_2(C_2O_4)C_6H_2(COO_4(H_2O)_4]·4H_2O·(NH_2CH_2COOH)}_n (3){[Co(H_2O)_6][Co(H_2O)_4C_6H_2(COO_4]·4H_2O}_n 研究了上述三种配位聚合物的红外，紫外—可见—近红外光谱，测定了化合物(1)和(2)在1.5—300K温度范围内的变温磁矩，对它们的磁性研究表明，化合物(1)和(2)均呈反铁磁性，并且化合物(2)在17K发生了自旋转换现象。

In this article, the basic properties of the normal set structures, especially those of substructures and the restricted formulas in the Boolean-valued structure, together with the isomorphism between the structure and the ground model M are investigated.

本文研究的正规弗晰集合结构的一些基本性质，主要是：子结构的性质；受囿公式在U~中的性质和U~(2)与基础模型M的同构性质。

The principle of railroad trackbed inspection with GPR mounted on track vehicle is introduced. In line with requirements of exploring depth, accuracy and speed in the process of field survey, the layout of GPR survey line is put forward, the center frequency of antenna, the maximum time window, the temporal sampling interval and the space between traces are calculated according to the theoretical formulas.

介绍了使用路检车装载探地雷达对铁路路基检测的原理，结合野外探测过程中对测量深度、精度和行车速度的要求，给出了GPR现场工作测线布置的原则，理论上给出天线中心频率、时窗、采样率、测量点距的计算公式。

The formulas are also fit for other 2K-H differential gear trains.

所归纳的公式也适用于其他类型的2K-H型差动轮系。

B See chapter study notes, Cost Formulas Quick Reference Sheet.

b 见学习手册，成本公式快速参考单部分。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。