The Average Symmetry Index of Minerals Co-Varies with Their Hydrogen Content, Rarity, and Paragenetic Mode

Author:

Bermanec Marko1ORCID,Vidović Noa2,Ma Xiaogang3ORCID,Hazen Robert M.4ORCID

Affiliation:

1. Institute of Geological Sciences, Universität Bern, Baltzerstrasse 1+3, CH-3012 Bern, Switzerland

2. Department of Physics, Faculty of Science, University of Zagreb, 10040 Zagreb, Croatia

3. Department of Computer Science, University of Idaho, Moscow, ID 83844, USA

4. Earth and Planets Laboratory, Carnegie Institution for Science, 5251 Broad Branch Road NW, Washington, DC 20015, USA

Abstract

Variations in the Dolivo-Dobrovol’sky symmetry index for minerals through time reveal several factors that influence the emergence of crystalline symmetry in natural processes. Of special interest in this regard are the numerous paragenetic modes—different processes of mineral genesis that reflect changes in physical, chemical, and ultimately biological environments that foster the emergence of new mineral species. Here, we consider the roles of hydrogen content, rarity, formation temperature and pressure, and age on the average symmetry of minerals from 57 different modes of formation (i.e., paragenetic modes). We find four significant trends in the average mineral symmetry index for all minerals in each paragenetic mode: specifically, this average index is (1) lower for minerals with greater hydrogen content; (2) greater for minerals formed at higher pressure; (3) lower for minerals of greater rarity; and (4) greater for older paragenetic modes. These findings elucidate some of the intricate relationships among paragenetic modes, average mineral attributes, and the Dolivo-Dobrovol’sky symmetry index, providing insights into the geological processes governing mineral formation.

Funder

Deep-time Digital Earth (DDE) program

John Templeton Foundation

NASA Astrobiology Institute ENIGMA team

Carnegie Institution for Science

U. S. National Science Foundation

Publisher

MDPI AG

Reference54 articles.

1. Ashcroft, N.W., and Mermin, N.D. (1976). Solid State Physics, Saunders College.

2. Bradley, C.J., and Cracknell, A.P. (2010). The Mathematical Theory of Symmetry in Solids: Representation Theory for Point Groups and Space Groups, Clarendon Press.

3. Naumann, C.F. (1855). Elemente Der Mineralogie, St. Petersburg University Press.

4. Lebedev, G.G. (1891). Course of Mineralogy. Descriptive Part, St. Petersburg University Press.

5. Vernadsky, V.I. (1903). The Fundamentals of Crystallography, Moskva Gosuniversitet.

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