Abstract

This paper generalizes the data on the symmetry of minerals in different Earth shells as a function of temperature, pressure, and the combined effects of both parameters. It is shown that the distribution of mineral species in the symmetry hierarchy, in particular, the existence of a monoclinic maximum and a triclinic minimum in the symmetry statistics of the world for minerals and inorganic compounds, is determined, first of all, by two diverse factors: the dynamic properties of the crystal lattice (the number of unit-cell parameters that are not fixed according to symmetry) and the efficiency of the crystal structure (the maximum number of admitted atomic positions according to the given point-to-point group). As the temperature increases, the symmetry of a substance usually becomes higher, with constantly increasing pressure making it lower, but increasing again with its reconstruction. The mutual increase of temperature and pressure with depth inside the Earth provides a stable increase of the average symmetry of rock, from a few units to the maximum value of 48 of the Dolivo-Dobrovolsky index. Due to the multiparametric nature of the mineral-symmetry statistics we will leave some fluctuations of this function without comment until their verification over time.

中文翻译：

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不同热力学环境下矿物物种的对称性统计

摘要

本文概括了不同地球壳中矿物对称性的数据，这些数据是温度，压力以及这两个参数的综合作用的函数。结果表明，矿物质种类在对称等级中的分布，尤其是在世界上，对于矿物和无机化合物的对称统计中存在单斜最大值和三斜最小值，首先是由两种影响因素：晶格的动态特性（根据对称性不固定的晶胞参数数量）和晶体结构的效率（根据给定的点对点组允许的最大原子位置数量） ）。随着温度升高，物质的对称性通常会变高，而压力不断增加会使物质的对称性降低，但随着重建工作的进行再次增加。温度和压力随地球内部深度的相互增加使岩石的平均对称性稳定增加，从几个单位到Dolivo-Dobrovolsky指数的最大值48。由于矿物对称性统计数据的多参数性质，我们将对该函数的一些波动进行评论，直到对其进行验证。