SYMMETRY-DISSYMMETRY OF CRYSTALS: NEW ASPECTS

UDC 548.12 + 591.492

https://doi.org/10.15407./mineraljournal.39.04.067

V.I. Pavlyshyn

M.P. Semenenko Institute of Geochemistry, Mineralogy and Ore Formation of the NAS of Ukraine

34, Acad. Palladin Ave., Kyiv, Ukraine, 03142

E-mail: V.I.Pavlyshyn@gmail.com

SYMMETRY-DISSYMMETRY OF CRYSTALS: NEW ASPECTS

Language: Ukrainian

Mineralogical journal 2017, 39 (4): 67-76

Abstract: The fundamental contribution of E.S. Fedorov, L. Paster and P. Curie to the theory of symmetry is briefly discussed. The terms — symmetry, dissymmetry (symmetry with partially lost symmetry elements), asymmetry (without symmetry elements, except 1) are explained. The concept of "anomalous single crystal" — a heterogeneous crystal with a symmetry that is lowered relative to the idealized structure — is substantiated. On the example of quartz, topaz, feldspar and some phosphate crystals we have shown a varying degree of dissymmetrization — from local disorders associated with micro-isomorphism to significant ones associated with uneven distribution of chemical elements in the mineral growth pyramid which acquire the status of mineral individual. The electrical properties of topaz are incompatible with its ideal nonpolar crystal structure (3L23PC, mmm). They appear as "anomalous" in dissymmetrized crystals with growth pyramids of mm2, m 1.

Keywords: symmetry, dissymmetry, anomalous single crystal, anomalous properties, quartz, topaz, potassium feldspar.

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