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晶体空间群C-G系数的应用
Applications of Crystal Clebsch-Gordan Coefficients
【摘要】 说明空间群C-G系数的广泛应用,尤其是晶体中拉曼散射张量与晶体空间群C-G系数的关系,给出了散射张量与C-G系数关系的推导过程。一级散射张量是C-G系数的线性组合,二级散射张量是C-G系数的双线性组合[1]。C-G系数提供了计算有效哈密顿和散射张量的直接方法,可大大简化计算。鉴于C-G系数的重要性,计算了D16h结构空间群的C-G系数,并给出部分结果。
【Abstract】 Many uses of crystal Clebsch-Gordan coefficients is illustrated. In particular, the relationship between the scattering tensors for the Raman (inelastic) scattering of light by phonons in a crystal and the crystal-space-group Clebsch-Gordan coefficients is concerned. It is proved that the elements of the first-order scattering tensors are prescribed linear combination of Clebsch-Gordan coefficients; the elements of the second-order scattering tensors are prescribed bilinear combination of Clebsch-Gordan coefficients. these coefficients provide a straight-forward method for calculating the effective Hamitonian and the Raman scattering tensors, which can simplify the calculation. Since the important applications of the C-G coefficients, the C-G coeffcients for the space group D 1 6h are calculated and the results are provided.
- 【文献出处】 抚顺石油学院学报 ,JOURNAL OF FUSHUN PETROLEUM INSTITUTE , 编辑部邮箱 ,1997年03期
- 【分类号】O411.1
- 【下载频次】46