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The Symmetry Statistics of Mineral Species in Various Thermodynamic Environments. / Filatov, S. K.

In: Geology of Ore Deposits, Vol. 62, No. 7, 12.2020, p. 547-553.

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Filatov, S. K. / The Symmetry Statistics of Mineral Species in Various Thermodynamic Environments. In: Geology of Ore Deposits. 2020 ; Vol. 62, No. 7. pp. 547-553.

BibTeX

@article{6292359d8004421da3e203d0f02eecc2,
title = "The Symmetry Statistics of Mineral Species in Various Thermodynamic Environments",
abstract = "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.",
keywords = "Earth{\textquoteright}s envelops, inorganic compounds, minerals, monoclinic maximum, point groups of symmetry, pressure, space groups of symmetry, symmetry, symmetry groups, temperature, triclinic minimum",
author = "Filatov, {S. K.}",
note = "Funding Information: This study has been supported by the Russian Foundation for Basic Research (project no. 18-29-12106 MK). Publisher Copyright: {\textcopyright} 2020, Pleiades Publishing, Ltd. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2020",
month = dec,
doi = "10.1134/S1075701520070041",
language = "English",
volume = "62",
pages = "547--553",
journal = "Geology of Ore Deposits",
issn = "1075-7015",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "7",

}

RIS

TY - JOUR

T1 - The Symmetry Statistics of Mineral Species in Various Thermodynamic Environments

AU - Filatov, S. K.

N1 - Funding Information: This study has been supported by the Russian Foundation for Basic Research (project no. 18-29-12106 MK). Publisher Copyright: © 2020, Pleiades Publishing, Ltd. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2020/12

Y1 - 2020/12

N2 - 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.

AB - 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.

KW - Earth’s envelops

KW - inorganic compounds

KW - minerals

KW - monoclinic maximum

KW - point groups of symmetry

KW - pressure

KW - space groups of symmetry

KW - symmetry

KW - symmetry groups

KW - temperature

KW - triclinic minimum

UR - http://www.scopus.com/inward/record.url?scp=85100789309&partnerID=8YFLogxK

U2 - 10.1134/S1075701520070041

DO - 10.1134/S1075701520070041

M3 - Article

AN - SCOPUS:85100789309

VL - 62

SP - 547

EP - 553

JO - Geology of Ore Deposits

JF - Geology of Ore Deposits

SN - 1075-7015

IS - 7

ER -

ID: 74714387