晶体空间群C-G系数的应用

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。

Applications of Crystal Clebsch-Gordan Coefficients

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.