Abstract
Ab initio quantum-chemical calculations of cage molecules M3(XO4)2 (M = Mg, Cu; X = P, V) have been carried out. Interatomic interactions in them are quantitatively characterized based on analysis of the electronic properties at the critical points in electron density. The Mg-O interaction is close to pure closed-shell interactions, whereas the other interactions can be treated as intermediate with different degrees of covalence. The specific features of the electronic structure of the molecules are revealed with the use of the electron pair localization function. The arrangement of electron pairs in the outer shells of the cores of the transition metals Cu and V corresponds to the Gillespie model of the regions of local concentration of electrons located opposite the ligands, which illustrates the mechanism of bonding of atoms of the third and subsequent periods of the periodic table.
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A. G. Nord, G. Aberg, T. Stefanidis, P. Kierkegaard, and V. Grigoriadis, Chem. Scr. 25, 212 (1985).
A. G. Nord and P. Kierkegaard, Acta Chem. Scand. 22, 1466 (1968).
S. Jaulmes, A. Elfakir, M. Quarton, F. Brunet, and C. Chopin, J. Solid State Chem. 129, 341 (1997).
G. L. Shoemaker, J. B. Anderson, and E. Kostiner, Acta Crystallogr., Sect. B: Struct. Sci. 33, 2969 (1977).
J. B. Forsyth, C. Wilkinson, S. Paster, and H. Effenberger, J. Phys.: Condens. Matter 2, 1609 (1990)
N. Krishnamachari and C. Calvo, J. Coden ASTM CJCHAG 49, 1629 (1971).
R. F. W. Bader, Atoms in Molecules: A Quantum Theory (Oxford Univ. Press, New York, 1994; Mir, Moscow, 2001).
R. F. W. Bader, P. J. MacDougall, and C. D. H. Lau, J. Am. Chem. Soc. 106, 1594 (1984).
D. Marabello, R. Bianchi, G. Gervasio, and F. Cargnoni, Acta Crystallogr., Sect. A: Found. Crystallogr. 60, 494 (2004).
R. F. W. Bader and H. Essén, J. Chem. Phys. 80, 1943 (1984).
A. Espinosa, L. Alkorta, J. Elguero, and E. Molins, J. Chem. Phys. 117, 5529 (2002).
V. G. Tsirelson, Acta Crystallogr., Sect. A: Found. Crystallogr. 55Suppl., Abstract M13-OF003 (1999).
A. D. Becke and K. E. Edgecombe, J. Chem. Phys. 92, 5397 (1990).
B. Silvi and A. Savin, Nature 371, 683 (1994).
A. Savin, B. Silvi, and F. Colonna, Can. J. Chem. 74, 1088 (1996).
R. F. W. Bader, S. Johnson, T. H. Tang, and P. L. A. Popelier, J. Phys. Chem. 100(38), 15398 (1996).
M. W. Schmidt, K. K. Baldridge, and J. A. Boatz, J. Comput. Chem. 14, 1347 (1993); A. A. Granovsky, http://www.classic.chem.msu.su/gran/games/.
F. W. Biegler-Konig, R. F. W. Bader, and T.-H. Tang, J. Comput. Chem. 3, 317 (1982).
M. F. Bobrov and M. V. Yakovlev, in Proceedings of the Conference on Advances in Chemistry and Chemical Engineering (RKhTU im. D.I. Mendeleeva, Moscow, 2000), Issue XIV, Part 3, p. 61 [in Russian].
V. G. Tsirel’son and M. F. Bobrov, Quantum Chemistry of Molecules (RKhTU im. D.I. Mendeleeva, Moscow, 2001) [in Russian].
Y. Aray and R. F. W. Bader, Surf. Sci. 351, 233 (1996).
V. G. Tsirelson, A. S. Avilov, Yu. A. Abramov, E. L. Belokoneva, R. Kitaneh, R., and D. Feil, Acta Crystallogr., Sect. B: Struct. Sci. 54, 8 (1998).
R. D. Shannon, Acta Crystallogr., Sect. A: Found. Crystallogr. 32, 751 (1976).
S. A. Semiletov, Kristallografiya 21(4), 752 (1976).
R. J. Gillespie, I. Bytheway, T.-H. Tang, and R. F. W. Bader, Inorg. Chem. 35, 3954 (1996).
I. Bytheway, P. Popelier, and R. J. Gillespie, Can. J. Chem. 74(6), 1059 (1996).
R. F. W. Bader, R. J. Gillespie, and F. Martin, Chem. Phys. Lett. 290, 488 (1998).
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Original Russian Text © A.N. Egorova, V.G. Tsirel’son, 2006, published in Zhurnal Neorganicheskoi Khimii, 2006, Vol. 51, No. 6, pp. 1012–1019.
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Egorova, A.N., Tsirel’son, V.G. Electron distribution and chemical bonding in M3(XO4)2 molecules (M = Mg, Cu; X = P, V) as determined by Ab initio calculations. Russ. J. Inorg. Chem. 51, 941–948 (2006). https://doi.org/10.1134/S0036023606060143
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DOI: https://doi.org/10.1134/S0036023606060143