Polarity of reticular faces and the thermodynamic state of the face system of a crystal

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Abstract

A new concept is introduced into crystallography – the polarity of the reticular faces of a crystal. Reticular faces are divided into basic and additional. The basal faces, systematic in a facet system, only increase as the crystal grows. The shape of the crystal is invariant, stable within the limits of its stability and does not affect the state of its equilibrium. Additional faces, on the contrary, shrink and disappear, and therefore are variable extensive parameters of the facet system. They do not form their own system and associate with the basic ones, determining the variation of the facet system. The polar system is nonequilibrium, spontaneously and irreversibly transforms into the final basic facet system and is in quasi-static equilibrium. The habit of a basic crystal of an invariant shape changes during its growth according to the mechanism of translational symmetry.

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L. A. Admakin

OOO International Association of Postgraduate Education (MAPO)

Author for correspondence.
Email: admakin.leonid@yandex.ru
Russian Federation, St. Petersburg

A. L. Admakin

OOO International Association of Postgraduate Education (MAPO)

Email: admakin.leonid@yandex.ru
Russian Federation, St. Petersburg

References

  1. Браве О. Избранные научные труды. Л.: Наука, 1974. 420 с.
  2. Гаюи Р.Ж. Структура кристаллов. М.: Изд-во АН СССР. 1962, 176 с.
  3. Гиббс Дж. В. Термодинамика и статистическая механика. М.: Наука, 1982. 584 с.
  4. Мильбурн Г. Рентгеновская кристаллография. М.: Мир, 1975. 256 с.
  5. Адмакин Л.А., Трубачёв А.И. // Кулагинские чтения: техника и технология процессов. Матер. ХХI Междунар. науч.-практ. конф. Чита: ЗабГУ, 2021. С. 87.
  6. Адмакин Л.А., Адмакин А.Л. // Кристаллография. 2023. Т. 68. № 2. С. 323. https://doi.org/10.31857/S0023476123020029
  7. Шефталь Н.Н. // Процессы реального кристаллообразования / Ред. Белов Н.В. М.: Наука, 1977. С. 36.
  8. Винчелл А.Н., Винчелл Г. Оптическая минералогия. М.: ИЛ, 1953. 561 с.
  9. Заварицкий А.Н. Изверженные горные породы. М.: Изд-во АН СССР, 1956. 480 с.
  10. Адмакин Л.А. // Докл. АН СССР. 1972. Т. 222. № 4. С. 82.
  11. Шамбадаль П. // Развитие и приложения понятия энтропии. М.: Наука, 1967. С. 137.
  12. Эткинс П. Порядок и беспорядок в природе. М.: Мир, 1987. 224 с.
  13. Пригожин И. Введение в термодинамику необратимых процессов. М.: ИЛ, 1960. 128 с.
  14. Леонтович М.А. Введение в термодинамику. Статистическая физика. М.: Наука, 1983. 416 с.

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2. Fig. 1. A number of transformations of a β-quartz crystal: a – polar, prismatic-rhombohedral, low–temperature; b - basic, prismatic–bipyramidal, relatively high-temperature; c - basic, finite bipyramidal, high-temperature.

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3. Fig. 2. A bipyramidal β-quartz crystal in a porphyritic granite geode (sketch): 1 – porphyritic granite, including geode; 2 – cristobalite substrate; 3 – siliceous-fluid chamber during the growth of a bipyramidal β-quartz crystal. The scale is 1 :1.

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