Symmetry and structural complexity of minerals of the earth deep geospheres (pyrolite model)

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Abstract

Using the Dolivo-Dobrovol’sky index and information-based parameters on the basis of new experimental data, the problem of symmetry and structural complexity of the mineral matter of the deep geospheres is considered in the framework of the pyrolite model of the Earth’s mantle. It is shown that, in contrast to the previously made conclusions about the increase of the symmetry of minerals with depth, the behavior of the quantitative parameters of symmetry and structural complexity is nonlinear. The symmetry increases (and the structural complexity decreases) to the boundary of the decomposition of ringwoodite into bridgmanite and magnesiowustite (660 km), after which there is a decrease of the Dolivo-Dobrovol’sky index to 18.40 and an increase of the atomic parameter of structural complexity to 2.786 bit/atom. This behavior is due to the uneven and opposite effect of temperature and pressure on the symmetry and complexity of the crystalline substance, which is caused by the nonlinear nature of the averaged geotherm of the Earth's crust and mantle. Information parameters of structural complexity are a more sensitive indicator of symmetry than the Dolivo-Dobrovol’sky index, which is due to the former taking into account the features of the crystal structure of specific minerals.

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About the authors

S. V. Krivovichev

Federal Research Center “Kola Science Center of the Russian Academy of Sciences”; St. Petersburg State University

Author for correspondence.
Email: s.krivovichev@ksc.ru

Academician of the RAS

Russian Federation, Apatity; St. Petersburg

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Supplementary files

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2. Fig. 1. Diagram of the structure of the Earth's deep geospheres up to the mantle-core boundary (according to [11, 12]). The decoding of the symbols of the mineral phases is given in the table

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3. Fig. 2. Dependence of the Dolivo-Dobrovolsky index σ (a) and the information parameter (b) on the depth

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4. Fig. 3. Averaged geotherms of the Earth for the models of full (a) and layered (b) mantle convection (according to data from [19] with modifications)

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