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《中国地球化学学报(英文版)》 1993-01
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Bond-Valence Sum and Distortion of Coordination Polyhedra

ZHANG LIMING Institute of Geochemistry,Academia Sinica,Guiyang,550002)  
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 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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