稀土化合物配位场理论的研究——SO(3)-Dn群的变换

本文应用唐敖庆等人的配位场理论方法,分析SO(3)-D_n群的变换,引进了D_n群不可约表示特征M的概念,统一给出了[-1]^Γ、[-1]^γ因子,SC(3)-D_n群S_mГγⁱ系数,D_n群V系数,D_n群不可约表示[Г²]和(Г²),交换因子(-1)^Г、θ(Г_MГ_MГ_M')等.并得到求SO(3)-D_n群V系数的公式,直接沟通SO(3)-D_n群链.并应用SLJГγ稀土偶合方案对EuP₅O₁₄基态谱项⁷F能谱作了分析.

A Study of the Theory of Ligand Field for the Rare Earth Compounds --The Transformation of SO(3)-Dn

A few rare earth compounds have the structure of point group Dn symmetry. The link-up of the group chain from SO(3)to D_n is a matter of importance. In this paper, theoretical method of the Ligand Field theory proposed by Tang and his coworkers is used as a startling point. The transformation propety of SO(3)-D_n, is discussed. The concept of the characteristic Mof the irreducible representation of Dn is introduced. The phase factors [-1]^Γ, [-1]^γ the V-coefficients, the symmetrized [Γ²] and anisymmetrized (Γ²) squares of irreducible representation, factors(-1)^Γ, θ(Γ_MΓ_MΓ_M) for D_n and S_mFrⁱ parameter of SO(3)-D_n are given.