| Bond—Valence Sum and Distortion of Coordination Polyhedra |
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| 引用本文： | 章礼明. Bond—Valence Sum and Distortion of Coordination Polyhedra[J]. 中国地球化学学报, 1993, 12(1): 92-96. DOI: 10.1007/BF02869049 |
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| 作者姓名： | 章礼明 |
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| 作者单位： | InstituteofGeochemistry,AcademiaSinica,Guiyang550002 |
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| 摘 要： | By using the Lagrange‘s intermediate value theorem,it is derived mathematically that the structur-al distortion of a coordination polyhedron may lead to an increase in bond-valence sum of the cen-tral atom of ion .The applicabilities of the bond-valence model are discussed in the following two cases:the modeling of crystal structure ,and the indication of distortion degree of a coordination polyhedron.Also it is shown that a distorted polyhedron should be in favor of a longer average bond length or a smaller coordination number.
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| 关 键 词： | 化合价 无机晶体结构 拉格朗日中值定理 多面体 |
Bond-valence sum and distortion of coordination polyhedra |
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| Liming Zhang. Bond-valence sum and distortion of coordination polyhedra[J]. Chinese Journal of Geochemistry, 1993, 12(1): 92-96. DOI: 10.1007/BF02869049 |
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| Authors: | Liming Zhang |
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| Affiliation: | (1) Institute of Geochemistry, Academic Sinica, 550002 Guiyang |
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| Abstract: | By using the Lagrange’s intermediate value theorem, it is derived mathematically that the structural distortion of a coordination polyhedron may lead to an increase in bond-valence sum of the central atom or ion. The applicabilities of the bond- valence model are discussed in the following two cases: the modeling of crystal structure, and the indication of distortion degree of a coordination polyhedron. Also it is shown that a distorted polyhedron should be in favor of a longer average bond length or a smaller coordination number. |
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| Keywords: | bond- valence sum distortion coordination polyhedron bond- valence model bond length coordination number |
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