Abstract
A symmetry analysis has been made of monoclinic and trigonal superstructures of the M6C5 type, which are formed in nonstoichiometric cubic carbides MC y with a B1 structure. Channels of disorder-order transitions MC y → M6C5 have been revealed, and the distribution functions of carbon atoms in the M6C5 superstructures have been calculated. The atomic-vacancy ordering in nonstoichiometric cubic carbides of vanadium VC y and niobium NbC y has been investigated using neutron diffraction and X-ray diffraction analyses. It has been shown that, as the temperature decreases, the Group V transition metal carbides MC y can undergo two physically admissible sequences of transformations associated with the formation of M6C5 phases.
Similar content being viewed by others
References
A. I. Gusev, A. A. Rempel, and A. J. Magerl, Disorder and Order in Strongly Nonstoichiometric Compounds: Transition Metal Carbides, Nitrides, and Oxides (Springer, Berlin, 2001).
J. D. Venables, D. Kahn, and R. G. Lye, Philos. Mag. 18, 177 (1968).
J. D. Venables and R. G. Lye, Philos. Mag. 19, 565 (1969).
D. Kahn and R. G. Lye, Bull. Am. Phys. Soc. 14, 332 (1969).
I. Karimov, F. Faĭzullaev, M. Kalanov, A. Émiraliev, A. S. Rakhimov, L. Slepoĭ, and V. S. Polishchuk, Dokl. Akad. Nauk Uzb. SSR, No. 2, 32 (1976).
I. Karimov, F. Faĭzullaev, M. Kalanov, A. Émiraliev, and V. S. Polishchuk, Izv. Akad. Nauk Uzb. SSR. Ser. Fiz.—Mat. Nauk, No. 4, 87 (1978).
V. N. Lipatnikov, W. Lengauer, P. Ettmayer, E. Keil, G. Groboth, and E. Kny, J. Alloys Compd. 261, 192 (1997).
B. V. Khaenko and V. V. Kukol’, Dokl. Akad. Nauk Ukr. SSR, Ser. A: Fiz.-Mat. Tekh. Nauki, No. 1, 78 (1987).
B. V. Khaenko, V. V. Kukol’, and L. S. Ershova, Izv. Akad. Nauk SSSR, Neorg. Mater. 25, 263 (1989).
J. Billingham, P. S. Bell, and M. H. Lewis, Philos. Mag. 25, 661 (1972).
J. Billingham, P. S. Bell, and M. H. Lewis, Acta Crystallogr., Sect A: Cryst. Phys., Diffr., Theor. Gen. Crystallogr. 28, 602 (1972).
M. H. Lewis, J. Billingham, and P. S. Bell, in Solid State Chemistry: Proceedings of the Fifth International Materials Research Symposium, Berkley, CA, United States, 1972 (Berkley, 1972), p. 1084 (NBS Special Publ. (US), No. 364 (1972)).
K. Hiraga, Philos. Mag. 27, 1301 (1973).
I. Karimov, F. Faĭzullaev, M. Kalanov, A. Émiraliev, and V. S. Polishchuk, Izv. Akad. Nauk Uzb. SSR, Ser. Fiz.-Mat. Nauk, No. 4, 74 (1976).
R. Kesri and S. Hamar-Thibault, Acta Metall. 36, 149 (1988).
A. A. Rempel’, A. I. Gusev, V. G. Zubkov, and G. P. Shveĭkin, Dokl. Akad. Nauk SSSR 275(4), 883 (1984) [Sov. Phys. Dokl. 29 (4), 257 (1984)].
A. I. Gusev and A. A. Rempel’, Fiz. Tverd. Tela (Leningrad) 26(12), 3622 (1984) [Sov. Phys. Solid State 26 (12), 2178 (1984)].
A. A. Rempel’ and A. I. Gusev, Kristallografiya 30(6), 1112 (1985) [Sov. Phys. Crystallogr. 30 (6), 648 (1985)].
A. I. Gusev and A. A. Rempel, Phys. Status Solidi A 93, 71 (1986).
V. N. Lipatnikov, A. I. Gusev, P. Ettmayer, and W. Lengauer, J. Phys.: Condens. Matter 11, 163 (1999).
V. N. Lipatnikov, A. I. Gusev, P. Ettmeier, and W. Lengauer, Fiz. Tverd. Tela (St. Petersburg) 41(3), 529 (1999) [Phys. Solid State 41 (3), 474 (1999)].
A. I. Gusev and A. A. Rempel, Phys. Status Solidi A 135, 15 (1993).
A. A. Rempel’ and A. I. Gusev, Ordering in Nonstoichiometric Niobium Monocarbide (Ural Scientific Center of the Academy of Sciences of the Soviet Union, Sverdlovsk, 1983) [in Russian].
J. D. Venables and M. H. Meyerhoff, in Solid State Chemistry: Proceedings of the Fifth International Materials Research Symposium, Berkley, CA, United States, 1972 (Berkley, 1972), p. 583 (NBS Special Publ. (US), No. 364 (1972)).
J. P. Landesman, A. N. Christensen, C. H. de Novion, C. H. Lorenzelli, and P. Convert, J. Phys. C: Solid State Phys. 18, 809 (1985).
A. N. Christensen, Acta Chem. Scand., Ser. A 39, 803 (1985).
M. P. Arbuzov, B. V. Khaenko, and O. P. Sivak, Dokl. Akad. Nauk USSR, Ser. A: Fiz.-Mat. Tekh. Nauki, No. 10, 86 (1984).
B. V. Khaenko, O. P. Sivak, and V. S. Sinel’nikova, Izv. Akad. Nauk SSSR, Neorg. Mater. 20, 1825 (1984).
B. V. Khaenko and O. P. Sivak, Kristallografiya 35(5), 1110 (1990) [Sov. Phys. Crystallogr. 35 (5), 653 (1990)].
A. I. Gusev, A. A. Rempel, and V. N. Lipatnikov, J. Phys.: Condens. Matter 43, 8277 (1996).
A. A. Rempel’, V. N. Lipatnikov, and A. I. Gusev, Dokl. Akad. Nauk SSSR 310, 878 (1990) [Sov. Phys. Dokl. 35, 103 (1990)].
A. I. Gusev, A. A. Rempel’, and V. N. Lipatnikov, Fiz. Tverd. Tela (Leningrad) 33(8), 2298 (1991) [Sov. Phys. Solid State 33 (8), 1295 (1991)].
V. N. Lipatnikov and A. A. Rempel’, Pis’ma Zh. Éksp. Teor. Fiz. 81(7), 410 (2005) [JETP Lett. 81 (7), 326 (2005)].
A. I. Gusev and A. A. Rempel, Phys. Status Solidi A 163, 273 (1997).
A. I. Gusev and A. A. Rempel, in Materials Science of Carbides, Nitrides, and Borides, Ed. by Y. G. Gogotsi and R. A. Andrievski (Kluwer, Dordrecht, The Netherlands, 1999), p. 47.
A. I. Gusev, Usp. Fiz. Nauk 170(1), 3 (2000) [Phys.—Usp. 43 (1), 1 (2000)].
A. I. Gusev, Nonstoichiometry, Disorder, Short-Range and Long-Range Orders in Solids (Fizmatlit, Moscow, 2007) [in Russian].
A. A. Rempel and A. I. Gusev, Phys. Status Solidi B 130, 413 (1985).
A. A. Rempel’ and A. I. Gusev, Fiz. Met. Metalloved. 60, 847 (1985).
A. I. Gusev and A. A. Rempel, J. Phys. C: Solid State Phys. 20, 5011 (1987).
X’Pert Plus Version 1.0: Program for Crystallography and Rietveld Analysis (Philips Analytical B. V., Koninklijke Philips Electronics N. V., Almelo, The Netherlands, 1999).
A. I. Gusev and A. A. Rempel’, Nonstoichiometry, Disorder, and Order in Solids (Ural Branch of the Russian Academy of Sciences, Yekaterinburg, 2001) [in Russian].
O. V. Kovalev, Irreducible Representations of the Space Groups (Naukova Dumka, Kiev, 1961; Gordon and Breach, New York, 1965).
O. V. Kovalev, Representation of Crystallographic Space Groups: Irreducible Representations, Induced Representation, and Corepresentations (Nauka, Moscow, 1986; Gordon and Breach, Amsterdam, 1993).
A. G. Khachaturyan, Theory of Phase Transformations and the Structure of Solid Solutions (Nauka, Moscow, 1974) [in Russian].
D. Rafaja, W. Lengauer, P. Ettmayer, and V. N. Lipatnikov, J. Alloys Compd. 269, 60 (1998).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.I. Gusev, 2009, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2009, Vol. 136, No. 3, pp. 486–504.
Rights and permissions
About this article
Cite this article
Gusev, A.I. Sequence of phase transformations in the formation of superstructures of the M6C5 type in nonstoichiometric carbides. J. Exp. Theor. Phys. 109, 417–433 (2009). https://doi.org/10.1134/S1063776109090064
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776109090064