Abstract
For the first time, a quantitative assessment of the evolution of the indicator of the formation processes structural complexity of the beryl and petalite structural type compounds in the BeO – MgO – Al2O3 – SiO2 system during spontaneous crystallization of the melt, growth of beryllium indialite on the isostructural seed of natural cordierite and in the subsolidus region is carried out. Calculating criteria for the crystallized phases information content are proposed, taking into account the fractional participation of the phase in the total sample mass, the crystal lattice topological complexity contribution to the system structural information, considering the topological identity of the formed phases to known structural analogs… It is proposed to compare the stages of development of the system according to the values of the molar topological informational complexities sums of successively arising phase associations. In the structural inheritance and phase portraits terminology, the structural relationship elements of beryllian indialite and chemically similar phases genetically related to it with the petalite and β-quartz structure are characterized.
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Acknowledgments
The authors are deeply grateful to Ph.D. M.A. Mikhailov, with whom the presented results were obtained, as well as prof. S.V. Krivovichev for fundamental critical remarks regarding the calculation method.
The study was carried out within the framework of the state assignment for project IX.25.3.2. «Crystalline and amorphous functional materials with predictable properties» (0350-2019-0002).
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Mamontova, S.G., Zelentsov, S.Z., Dergin, A.A. (2023). Experience of Calculation Factor of the Structural Complexity Coefficient for Structural Challenges Describe the Regularities of Genetic Inheritance Structure Under Crystallization of Berillian Indialite. In: Marin, Y. (eds) XIII General Meeting of the Russian Mineralogical Society and the Fedorov Session. GMRMS 2021. Springer Proceedings in Earth and Environmental Sciences. Springer, Cham. https://doi.org/10.1007/978-3-031-23390-6_83
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