稀土化合物配位场理论的研究——SO(3)-Dn群的变换

高等学校化学学报 ›› 1985, Vol. 6 ›› Issue (6): 527.

稀土化合物配位场理论的研究——SO(3)-D_n群的变换

王泽新, 唐敖庆

吉林大学理化所

收稿日期:1984-01-03 出版日期:1985-06-24 发布日期:1985-06-24

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

Wang Zhexin, Tang Auchin

The Lnesitle of Theoretical Chemistry, Jilin University, Changchun

Received:1984-01-03 Online:1985-06-24 Published:1985-06-24

摘要/Abstract

摘要： 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.

Abstract: 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.

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王泽新, 唐敖庆. 稀土化合物配位场理论的研究——SO(3)-D_n群的变换. 高等学校化学学报, 1985, 6(6): 527.

Wang Zhexin, Tang Auchin . A Study of the Theory of Ligand Field for the Rare Earth Compounds --The Transformation of SO(3)-D_n. Chem. J. Chinese Universities, 1985, 6(6): 527.