Abstract
A method for constructing a two-parameter crystal chemical alphabet for coding crystal chemical formulas (CCFs) for the purpose of their systematization is described. The general principles for coding the crystal chemical formulas are formulated. The two-parameter alphabet is an ordered collection of pairs of symbols in which data on a position and element (PE) that are peculiar to this structural type of mineral are fixed. Stoichiometric coefficients of elements in positions of particular CCFs allow one to construct rank crystal chemical formulas, i.e., sequences of PE pairs in the order of their coefficient decrease. The collection of these rank formulas is sorted on the dictionary principle in accordance with the PE in the proposed alpha-bet, allowing one to obtain a hierarchical classification of the CCF codes. The construction of rank CCF formulas enables one to calculate the entropy characteristics of the obtained codes in studies of transient processes of the structural-chemical states of substances. The method is described using the example of the mineral tourmaline.
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Petrov, T.G., Ground of Variant of General Classification of Geochemical Systems, Vestn. Leningr. Gos. Univ., 1971, no. 18, pp. 30–38.
Petrov, T.G., Information Language for Description of Multicomponent Object Compositions, Nauchn. Tekhn. Inform., Ser. 2, 2001, no. 3, pp. 8–18.
Petrov, T.G., Range-Entropy Approach to the Description of the Geological Object Compositions and Their Changes (on the Geological Coenology), Obshch. Prikladn. Tsoenolog., 2007, no. 5, pp. 27–33.
Krasnova, N.I., Petrov, T.G., and Retyunina, A.V., Practical Aspects of RHA Method Use for Classification of Mica Group Minerals, Vestn. St. Petersb. Gos. Univ., Ser. 7, 2008, no. 2, pp. 3–19.
Petrov, T.G. and Farafonova, O.I., Informatsionnokomponentnyi analiz. Metod RHA (Information-Component Analysis. RHA Method), St. Petersburg: St. Petersb. Gos. Univ., 2005.
Petrov, T.G., Hierarchical Periodic System of Chemical Compositions and Its Connection wuth Periodical System of Elements, Vestn. St. Peterb. Gos. Univ., Ser. 7, 2009, no. 2, pp. 21–28.
Petrov, T.G. and Krasnova, N.I., R-slovar’-katalog khimicheskikh sostavov mineralov. — (R-Dictionary-Catalog of Chemical Compositions of Minerals), St. Petersburg: Nauka, 2010.
Zolotarev, A.A., Petrov, T.G., and Moshkin, S.V., Peculiarities of Chemical Composition of Scapolite Group Minerals, Zapiski Vseross. Mineral. Obshch., 2003, no. 6, pp. 63–84.
Bulakh, A.G. and Petrov, T.G., Chemical Variety of Eudialyte Group Minerals, Range Formula for Their Compositions, Chemical and Chemical-Structural Varieties, Zapiski Vseross. Mineral. Obshch., 2003, no. 4, pp. 1–17.
Bulakh, A.G. and Petrov, T.G., Chemical Variability of Eudialyte-Group Minerals and Their Sorting, Neues Jahrb. Min., 2004, no. 3, pp. 127–144.
Andriyanets-Buyko, A.A., Krasnova, N.I., and Petrov, T.G., Variety of Tourmaline Composition and Their Chemical RHA Method-Based Classification, Zapiski Vseross. Mineral. Obshch., 2007, no. 1, pp. 25–41.
Petrov, T.G., Farafonova, O.I., and Sokolov, P.B., Information Entropy Characteristics of Mineral and Rock as Reflection of Crystallization Process Tension, Zapiski Vseross. Mineral. Obshch., 2003, no. 2, pp. 33–40.
Mukhamedzhanov, A.F. and Petrov, T.G., Consideration of Differential Intrusions with the Help of Chemical Information RHA Method, in Struktura, veshchestvo, istoriya litosfery Timano-Severo-Ural’skogo segmenta (Structure, Substance, Lithosphere History of Timan-North Ural Segment), Syktyvkar, 2006.
Petrov, T.G., RHA Method as Solution of Problem of Systematization of Analytical Data about Substantial Composition of Geological Objects, Otech. Geologiya, 2008, no. 4, pp. 98–105.
Krivovichev, V.G. and Zolotarev, A.A., Khimicheskii sostav mineralov i graficheskie sposoby ego izobrazheniya (Chemical Composition of Minerals and Graphical Method of Its Representation), St. Petersburg, 2002.
Pershikov, V.I. and Savinkov, V.M., Tolkovyi slovar’ po informatike (Explanatory Dictionary on Informatics), Moscow: Finan. Statistics, 1991.
Unikal’naya illyustrirovannaya entsiklopediya v tablitsakh i skhemakh (Unique Illustrated Encyclopedia in Tables and Schemes), Moscow: AST, 2006.
Krivovichev, V.G., Mineralogicheskii slovar (Mineralogical Dictionary), St. Petersburg: St. Petersb. Gos. Univ., 2008.
Mineralogicheskaya entsiklopediya (Mineralogical Encyclopedia), Frey, K., Ed., Leningrad: Nedra, 1985.
Hawthorne, F.C. and Henry, D.J., Classification of the Minerals of the Tourmaline Group, Eur. J. Mineral., 1999, vol. 11, pp. 201–215.
Rozhdestvenskaya, I.V., Frank-Kamenetskaya, O.V., Zolotarev, A.A., et al., Refinement of the Crystal Structures of Three Fluorine-Bearing Elbaites, Crystall. Rep., 2005, vol. 50, no. 6, pp. 907–913.
Salyamon, L.S., About Some Factors Determining of New Word Perception in Science, in Nauchnoe otkrytie i ego vospriyatie, (Scientific Discovery and Its Perception), Mikulinskii, S.R. and Yaroshevskii, M.G., Eds., Moscow: Nauka, 1971, pp. 95–114.
Ivanov, S.A., 1000 let ozarenii (1000 Years of Strikenings), Moscow: Slovo, 2002.
Shurubor, Yu.V., About One Property of Measure of Complication of Geochemical Systems, Dokl. Akad. Nauk SSSR, 1972, vol. 205, no. 2, pp. 453–456.
Petrov, T.G., Problems of Separation and Mixing in Inorganic Systems, Geologiya, 1995, vol. 2, pp. 181–186.
Barsukov, V.L., Volosov, A.G., Kozerenko, S.V., et al., Nauchnye osnovy geokhimicheskikh metodov poiskov glubokozalegayushchikh rudnykh mestorozhdenii (Scientific Fundamentals of Geochemical Methods of Searching of Deeply Imbedded Ore Deposits), Irkutsk, 1970.
Moshkin, S.V., Shelemotov, A.S., Bogachev, et al., RETROS — New Program Complex for Treatment and Analysis of Petrogeochemical Information, in Petrografiya na rubezhe XXI veka. Itogi i perspektivy (Petrography on the Boundary of XXI Century. Results and Perspectives), Syktyvkar, 2000.
Petrov, T.G. and Moshkin, S.V., RHA Method and Its Realization in Retros-3 Program Complex, Vychisl. Geolog., 2011, no. 1, pp. 50–53.
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Original Russian Text © T.G. Petrov, A.A. Andriyanets-Buyko, S.V. Moshkin, 2012, published in Nauchno-Tekhnicheskaya Informatsiya, Seriya 2, 2012, No. 2, pp. 15–23.
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Petrov, T.G., Andriyanets-Buyko, A.A. & Moshkin, S.V. A two-parameter alphabet for coding structural-chemical information and its systematization (using the example of tourmaline). Autom. Doc. Math. Linguist. 46, 40–49 (2012). https://doi.org/10.3103/S0005105512010086
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DOI: https://doi.org/10.3103/S0005105512010086