碱性闪石类质同象的向量空间

VECTOR SPACE OF ISOMORPHISM FOR ALKALI-AMPHIBOLE

用结构分析法确定闪石中阳离子的占位已为人们所熟知，本文采用44个碱性闪石的化学分析数据，通过逐步回归分析，从统计学的角度来分析碱性闪石各晶位中阳离子占位率之间的相关性，从而进一步探讨其类质同象的规律，分析表明：碱性问石中作为独立变量的阳离子并非如通常认为的多而杂，如果把碱性闪石类质同象看成一个随机线性向量，则其空间的维数很可能小于10，上述理论计算同时还表明：1．有可能直接用化学分析结果按概率方法对闪石进行定名；2.有可能选择X射线粉末图大于10条特征峰的强度作统计分析来估算闪石中阳离子的占位率。

Occupancy of cations in amphibole is usually determined by structure analysis, but inthe paper it is estimated by regression method to analyse the relation between the cationaloccupancy rate in crystal sites with chemical ana1ytic data of 44 alkali-amphibole samplesin the aspect of statistics' The studying results show as independent variab1e cation inalkali-amphibole is not considered to be abundant and complex, if isomorphism in alkali-amphibole is regarded as an random linear vector, the dimension of vector space is possib1yless than lO. The theoretical calculation suggests ro Amphibolc can be named byprobability method; ② Occupancy of cations in alkali-amphibole can be estimated by theintensity of more than 10 characteristic peaks in x - ray diffraction pattern withcalc ulation.