Abstract
The specific features of the energy spectrum of stationary quantum states responsible for the melting and softening of a polyatomic system are investigated. It follows from the first principles of the quantum mechanics and statistical physics that the melting temperature of small nanoparticles can exceed the melting temperature of a macroscopic sample of the same chemical composition. The dependence of the temperature range of the transition of the polyatomic system to a microscopically labile state on the number of atoms is determined.
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Andrievskii, R.A., Nanomaterials: Concept and Modern Problems, Ross. Khim. Zh., 2002, vol. 46, no. 5, pp. 50–56.
Uvarov, N.F. and Boldyrev, V.V., Size Effects in Chemistry of Heterogeneous Systems, Usp. Khim., 2001, vol. 70, no. 4, pp. 307–329 [Russ. Chem. Rev. (Engl. transl.), 2001, vol. 70, no. 4, pp. 265–284].
Eroshenko, Yu.N., Melting of Nanoclusters, Usp. Fiz. Nauk, 2003, vol. 173, no. 12, p. 1387 [Phys.-Usp. (Engl. transl.), 2003, vol. 46, no. 12, pp. 1319–1326].
Shvartsburg, A.A. and Jarrold, M.F., Solid Clusters Above the Bulk Melting Point, Phys. Rev. Lett., 2000, vol. 85, no. 12, pp. 2530–2532.
Bal’makov, M.D., On the Melting Temperature of Nanoparticles, Fiz. Khim. Stekla, 2008, vol. 34, no. 1, pp. 140–143 [Glass Phys. Chem. (Engl. transl.), 2008, vol. 34, no. 1, pp. 110–112].
Landau, L.D. and Lifshitz, E.M., Statisticheskaya fizika Moscow: Nauka, 1964. Translated under the title Course of Theoretical Physics, vol. 5: Statistical Physics, Oxford: Butterworth-Heinemann, 1968.
Kitel, Ch., Elementary Statistical Physics, New York: Wiley, 1958. Translated under the title Statisticheskaya termodinamika, Moscow: Nauka, 1977.
Huang, K., Statistical Mechanics, New York: Wiley, 1963. Translated under the title Statisticheskaya mekhanika, Moscow: Mir, 1966.
Blokhintsev, D.I., Osnovy kvantovoi mekhaniki Moscow: Vysshaya Shkola, 1961. Translated under the title Quantum Mechanics, Dordrecht: Reidel, 1964.
Bal’makov, M.D., Microwave Aspect of Melting of Nanoparticles, Vestn. St. Peterb. Univ., Ser. 4: Fiz., Khim., 2007, no. 2, pp. 58–65.
Ziman, J., Models of Disorder: The Theoretical Physics of Homogeneously Disordered Systems, Cambridge: Cambridge Univ. Press, 1979. Translated under the title Modeli besporyadka. Teoreticheskaya fizika odnorodno neuporyadochennykh sistem, Moscow: Mir, 1982.
Bal’makov, M.D., Stekloobraznoe sostoyanie veshchetsva (The Vitreous State of Matter), St. Petersburg: St. Petersburg State University, 1996 [in Russian].
Kuni, F.M., Statisticheskaya fizika i termodinamika (Statistical Physics and Thermodynamics), Moscow: Nauka, 1981 [in Russian].
Bal’makov, M.D., Information Capacity of Condensed Systems, Semicond. Semimetals, 2004, vol. 79, pp. 1–14.
Wright, A.F. and Leadbetter, A.J., The Structure of the β-Cristobalite Phases of SiO2 and AlPO4, Philos. Mag., 1975, vol. 31, no. 6, pp. 1391–1401.
Ditkin, V.A. and Prudnikov, A.P., Operatsionnoe ischislenie (Operational Calculus), Moscow: Vysshaya Shkola, 1975 [in Russian].
Berdonosov, S.S., Microwave Chemistry, Soros. Obraz. Zh., 2001, vol. 7, no. 1, pp. 32–38.
Berry, R.S. and Smirnov, B.M., Phase Transitions and Adjacent Phenomena in Simple Atomic Systems, Usp. Fiz. Nauk, 2005, vol. 175, no. 4, pp. 367–411 [Phys. Usp. (Engl. transl.), 2005, vol. 48, no. 4, pp. 345–388].
Tver’yanovich, A.S., Kim, D., Borisov, E.N., et al., Lazernye i mikrovolnovye metody polucheniya i modifikatsii khal’kogenidnykh poluprovodnikovykh materialov (Laser and Microwave Methods for Preparing Chalcogenide Semiconductor Materials), St. Petersburg: BKhV, 2006.
Bal’makov, M.D., Algorithmic Approach to the Problem of Control of the Structure of the Nanostate of Matter, Vestn. St. Peterb. Univ., Ser. 4: Fiz., Khim., 2005, no. 2, pp. 51–59.
Kadomtsev, B.B., Dinamika i informatsiya (Dynamics and Information), Moscow: Usp. Fiz. Nauk Publishing, 1997 [in Russian].
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Original Russian Text © M.D. Bal’makov, 2008, published in Fizika i Khimiya Stekla.
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Bal’makov, M.D. The thermodynamic aspect of melting and softening of nanoparticles. Glass Phys Chem 34, 559–568 (2008). https://doi.org/10.1134/S1087659608050064
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DOI: https://doi.org/10.1134/S1087659608050064