Geometry is powerful, meaningful, and deep.
References
Duncan, M. and Rouvray, D., Microclusters, Sci. Am., 1989, December, pp. 110–115.
Sugano, S. and Koizumi, H., Microcluster Physics, in Springer Series in Materials Science, Berlin: Springer-Verlag, 1998, p. 548.
Mackay, A.L., Dense Noncrystallographic Packing of Equal Spheres, Acta Crystallogr., 1962, vol. 15, p. 916.
Kuo, K.H., Mackay, Anti-Mackay, Double-Mackay, Pseudo-Mackay, and Related Icosahedral Shell Clusters, Struct. Chem., 2002, vol. 13, pp. 221–230.
Kadomtsev, B.B., Dinamika i informatsiya (Dynamics and Information), Moscow: Uspekhi Fizicheskikh Nauk, 1997 [in Russian].
Shevchenko, V.Ya. and Balmakov, M.D., Centaur Nanoparticles as Objects of the Nanoworld, Fiz. Khim. Stekla, 2002, vol. 28, no. 6, pp. 631–636 [Glass Phys. Chem. (Engl. transl.), 2002, vol. 28, no. 6, pp. 441–444].
Shevchenko, V.Ya. and Madison, A.E., Structure of Nanoparticles: I. Generalized Crystallography of Nanoparticles and Magic Numbers, Fiz. Khim. Stekla, 2002, vol. 28, no. 1, pp. 60–65 [Glass Phys. Chem. (Engl. transl.), 2002, vol. 28, no. 1, pp. 40–43].
Shevchenko, V.Ya., Samoilovich, M.I., and Madison, A.E., On the True and Apparent Densities of Nanoparticles, Fiz. Khim. Stekla, 2005, vol. 31, no. 2, pp. 356–359 [Glass Phys. Chem. (Engl. transl.), 2005, vol. 31, no. 2, pp. 264–266].
Shevchenko, V.Ya. and Mackay, A.L., Geometrical Principles of the Self-Assembly of Nanoparticles, Fiz. Khim. Stekla, 2008, vol. 34, no. 1, pp. 3–10 [Glass Phys. Chem. (Engl. transl.), 2008, vol. 34, no. 1, pp. 1–8].
Shevchenko, V.Ya. and Krivovichev, S.V., Where Are Genes in Paulingite? Mathematical Principles of Formation of Inorganic Materials on the Atomic Level, Struct. Chem., 2008, vol. 19, no. 4, pp. 571–577.
Daams, J. and Villars, P., Atomic Environments in Relation to Compound Prediction, Eng. Appl. Artif. Intell., 2000, vol. 13, pp. 507–511.
Cohn, H. and Kumar, A., Universally Optimal Distribution of Points on Spheres, J. Am. Math. Soc., 2007, vol. 20, no. 1, pp. 99–148.
Cambridge Cluster Database, http://www-wales.ch.cam.ac.uk/CCD.html.
Ilyushin, G.D., Modelirovanie protsessov samoorganizatsii v kristalloobrazuyushchikh sistemakh (Modeling of Self-Organization Processes in Crystal-Forming Systems), Moscow: Editorial URSS, 2003 [in Russian].
Blatov, V.A., Voronoi-Dirichlet Polyhedra in Crystal Chemistry: Theory and Applications, Crystallogr. Rev., 2004, vol. 10, no. 4, pp. 249–318.
Blatov, V.A., Multipurpose Crystallochemical Analysis with the Program Package TOPOS, IUCr CompComm Newslett., 2006, no. 7, pp. 4–38.
Ferrando, R., Jellinek, J., and Johnston, R.L., Nanoalloys: From Theory to Applications of Alloy Clusters and Nanoparticles, Chem. Rev., 2008, vol. 108, no. 3, pp. 845–910.
CRYSTMET: Structure and Powder Database for Metals, Ottawa, Canada: Toth Information Systems, 2004.
Inorganic Crystal Structure Database, The National Institute of Standards and Technology (NIST) and Fachinformationszentrum Karlsruhe (FIZ), 2007.
Shoemaker, D.P., Marsh, R.E., Ewing, F.J., and Pauling, L., Interatomic Distances and Atomic Valences in NaZn13, Acta Crystallogr., 1952, vol. 5, pp. 637–644.
Samson, S., The Crystal Structure of Phase β-Mg2Al3, Acta Crystallogr., 1965, vol. 19, pp. 401–413.
Frank, F.C. and Kasper, J.S., Complex Alloy Structures Regarded as Sphere Packings: I. Definitions and Basic Principles, Acta Crystallogr., 1958, vol. 11, pp. 184–190.
Frank, F.C. and Kasper, J.S., Complex Alloy Structures Regarded as Sphere Packings: II. Analysis and Classification of Representative Structures, Acta Crystallogr., 1959, vol. 12, pp. 483–499.
Berger, R.F., Lee, S., and Hoffmann, R., A Quantum Mechanically Guided View of Mg44Rh7, Chem.—Eur. J., 2007, vol. 13, no. 28, pp. 7852–7863.
Fredrickson, D.C., Lee S., and Hoffmann, R., Interpenetrating Polar and Nonpolar Sublattices in Intermetallics: The NaCd2 Structure, Angew. Chem., 2007, vol. 46, pp. 1958–1976.
Laves, F., Factors Defining Crystal Structures, in Advances in X-Ray Analysis, New York: Plenum, 1963, vol. 6.
Doye, J.P.K. and Wales, D.J., Global Minima for Transition Metal Clusters Described by Sutton-Chen Potentials, New J. Chem., 1998, vol. 22, no. 7, pp. 733–744.
Gamow, G., Possible Relation between Desoxyribonucleic Acid and Protein Structure, Nature (London), 1954, vol. 173, no. 4398, pp. 318–324.
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Original Russian Text © V.Ya. Shevchenko, V.A. Blatov, G.D. Ilyushin, 2009, published in Fizika i Khimiya Stekla.
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Shevchenko, V.Y., Blatov, V.A. & Ilyushin, G.D. Structural chemistry of metal microclusters: Questions and answers. Glass Phys Chem 35, 1–12 (2009). https://doi.org/10.1134/S1087659609010015
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DOI: https://doi.org/10.1134/S1087659609010015