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作者从文献资料中收集了27个橄榄石族和硅镁石族矿物及类似物的成分和晶胞参数数据。通过多元回归分析,发现该多体系列的晶格存在着系统的畸变。如晶格的畸变用根据晶胞参数推导而来的四个参数R_a、R_b、R_c和γ_h来描述,则这些参数随二价阳离子平均半径〈r〉和四面体空隙被Si占位的比例T_(Si)的变化而变化,并可用下列方程表示它们之间的数学关系:R_a=0.3566〈r〉+0.2251T_(Si)+1.1706;R_b=0.6200〈r〉-0.9251T_(Si)+1.0651;R_c=0.6753〈r〉+0.5137T_(Si)+0.9430;γ_h=2.2051〈r〉+20.5117T_(Si)+116.2924。作者还对上述四个方程的晶体化学意义作了解释,并用该多体系列之外的以六方紧密堆积为基础的淡硅锰石和羟硅锰石的晶胞参数,对这四个方程作了成功的检验。
The authors collected from the literature 27 composition and unit cell parameters of the olivine and stevensite minerals and their analogues. Through multiple regression analysis, it is found that the lattice of the multi-body series has systematic distortion. If the distortion of the lattice is described by the four parameters R_a, R_b, R_c and γ_h derived from the unit cell parameters, then these parameters vary with the average radius of the divalent cation and the proportion of tetrahedral voids occupied by Si T_ (Si), and the mathematical relationship between them can be represented by the following equation: R_a = 0.3566 + 0.2251T_ (Si) +1.1706; R_b = 0.6200 -0.9251T_ (Si) +1.0651; R_c = 0.6753 + 0.5137T_ (Si) +0.9430; γ_h = 2.2051 + 20.5117T_ (Si) +116.2924. The authors also explain the crystallographic significance of the above four equations and use the unit cell parameters of fathosite and phyllosilicate based on the hexagonal close-stacking outside the multi-body series Successful test.