Abstract
The previously obtained parameters of interatomic potential of the type of Mie-Lennard-Jones potential are used to analyze the correlation of these parameters with the position of atom in the periodic table for the purpose of estimating the parameters of interatomic potential of substances for which no experimental data are available that would enable one to calculate these parameters. The parameters of interatomic potential for promethium (Pm-61) are estimated for two versions of structure, and the parameters for lanthanides are corrected. The similarity in double periodicity for lanthanides and actinides is used for estimating the values of coordinate of the minimum of potential r o for elements ranging from curium (Cm-96) to dubnium (Db-105). The value of r o is estimated for roentgenium (Rg-111) proceeding from the fact that, in the case of atomic number Z a > 60, the value of r o decreases with increasing Z a in elements from the same subgroup. Correct values of the parameters of potential are predicted for elements ranging from francium (Fr-87) to dubnium (Db-105). The obtained parameters of interatomic potential are used to calculate the Debye temperature and Grueneisen parameter for neptunium (Np-93) and americium (Am-95).
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Grigorovich, V.K., Periodicheskii zakon Mendeleeva i elektronnoe stroyenie metallov (Mendeleev’s Periodic Law and the Electron Structure of Metals), Moscow: Nauka, 1966.
Regel’, A.R. and Glazov, V.M., Periodicheskii zakon i fizicheskie svoistva elektronnykh rasplavov (The Periodic Law and Physical Properties of Electron Melts), Moscow: Nauka, 1978.
Magomedov, M.N., Teplofiz. Vys. Temp., 2006, vol. 44, no. 4, p. 518 (High Temp. (Engl. transl.), vol. 44, no. 4).
Magomedov, M.N., Teplofiz. Vys. Temp., 2005, vol. 43, no. 2, p. 202 (High Temp. (Engl. transl.), vol. 43, no. 2, p. 192).
Zinov’ev, V.E., Teplofizicheskie svoistva metallov pri vysokikh temperaturakh. Spravochnik (The Thermal Properties of Metals at High Temperatures: A Reference Book), Moscow: Metallurgiya, 1989.
Termicheskie konstanty veshchestv. Spravochnik v 10-ti vypuskakh (Thermal Constants of Substances: A Reference Book in 10 issues), Glushko, V.P., Ed., Moscow: VINITI, 1965–1982.
Tsagareishvili, D.Sh., Metody raschota termicheskikh i uprugikh svoistv kristallicheskikh neorganicheskikh veshchestv (Methods for the Calculation of the Thermal and Elastic Properties of Crystal Inorganic Substances), Tbilisi: Metsniereba, 1977.
Ogorodnikov, V.V. and Rogovoi, Yu.I., Fiz. Tekh. Vys. Davlenii, 1992, vol. 2, no. 4, p. 54.
Kittel, C., Introduction to Solid State Physics, New York: Wiley, 1976. Translated under the title Vvedenie v fiziku tverdogo tela, Moscow: Nauka, 1978.
Zhen Shu. and Davies, G.J., Physica Status Solidi (a), 1983, vol. 78, no. 2, p. 595.
Anderson, M.S., Swenson, C.A., and Peterson, D.T., Phys. Rev. B, 1990, vol. 41, no. 6, p. 3329.
Parshukov, A.V., Fiz. Tverd. Tela, 1985, vol. 27, no. 4, p. 1228.
Rodionov, K.N., Fiz. Met. Metalloved., 1967, vol. 23, no. 6, p. 1008.
Novikova, S.I., Teplovoe rashirenie tverdykh tel (Thermal Expansion of Solids), Moscow: Nauka, 1974.
CRC Handbook of Chemistry and Physics, Lide, D.R., Ed., London: CRC, 1993–1994.
Grigorovich, V.K., Metallicheskaya svyaz’ i struktura metallov (Metallic Bond and the Structure of Metals), Moscow: Nauka, 1988.
Lounasmaa, O.V., Phys. Rev., 1964, vol. 133, no. 1A, p. 219.
Elektronnoe izdanie: “Baza dannykh: Termicheskie konstanty veshchestv” (Electronic Data Base on Thermal Constants of Substances) httr://www.chem.msu.su/cgibin/tkv2.
Ashcroft, N. and Mermin, N., Solid State Physics, New York: Holt, Rinehart, and Winston, 1976. Translated under the title Fizika tverdogo tela, Moscow: Mir, 1979.
Neal, T., J. Phys. Chem. Solids, 1977, vol. 38, no. 3, p. 225.
Wallace, D.C., Phys. Rev. B, 1998, vol. 58, no. 23, p. 15 433.
Magomedov, M.N., Teplofiz. Vys. Temp., 2002, vol. 40, no. 4, p. 586 (High Temp. (Engl. transl.), vol. 40, no. 4, p. 542).
Author information
Authors and Affiliations
Additional information
Original Russian Text © M.N. Magomedov, 2008, published in Teplofizika Vysokikh Temperatur, Vol. 46, No. 4, 2008, pp. 533–544.
Rights and permissions
About this article
Cite this article
Magomedov, M.N. The correlation of the parameters of interatomic interaction in crystals with the position of atom in the periodic table. High Temp 46, 484–494 (2008). https://doi.org/10.1134/S0018151X0804007X
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0018151X0804007X