@article{VYURM_2015_7_2_a6,
author = {Ya. M. Ridnyi and A. A. Mirzoev and D. A. Mirzaev},
title = {Carbon impurities in paramagnetic {FCC} iron: ab initio simulation of energy parameters},
journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
pages = {56--63},
year = {2015},
volume = {7},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VYURM_2015_7_2_a6/}
}
TY - JOUR AU - Ya. M. Ridnyi AU - A. A. Mirzoev AU - D. A. Mirzaev TI - Carbon impurities in paramagnetic FCC iron: ab initio simulation of energy parameters JO - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika PY - 2015 SP - 56 EP - 63 VL - 7 IS - 2 UR - http://geodesic.mathdoc.fr/item/VYURM_2015_7_2_a6/ LA - ru ID - VYURM_2015_7_2_a6 ER -
%0 Journal Article %A Ya. M. Ridnyi %A A. A. Mirzoev %A D. A. Mirzaev %T Carbon impurities in paramagnetic FCC iron: ab initio simulation of energy parameters %J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika %D 2015 %P 56-63 %V 7 %N 2 %U http://geodesic.mathdoc.fr/item/VYURM_2015_7_2_a6/ %G ru %F VYURM_2015_7_2_a6
Ya. M. Ridnyi; A. A. Mirzoev; D. A. Mirzaev. Carbon impurities in paramagnetic FCC iron: ab initio simulation of energy parameters. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 7 (2015) no. 2, pp. 56-63. http://geodesic.mathdoc.fr/item/VYURM_2015_7_2_a6/
[1] D. E. Jiang, E. A. Carter, “Carbon dissolution and diffusion in ferrite and austenite from first principles”, Physical Review B, 67 (2003), 214103 | DOI
[2] M. Acet, E. F. Wassermann, K. Andersen et al., “The Role of the Nature of Magnetic Coupling on the Martensitic Transformation in $\mathrm{Fe}$-$\mathrm{Ni}$”, Journal de Physique IV France, 7:C5 (1997), 401–404
[3] R. J. Weiss, K. J. Tauer, “Components of the Thermodinamic Functions of Iron”, Physical Review, 102:6 (1956), 1491–1495 | DOI
[4] S. V. Okatov, V. N. Urtsev, M. I. Katsnelson et al., “Effect of magnetic state on the $\gamma$-$\alpha$ transition in iron: First-principles calculations of the bain transformation path”, Physical Review B, 79 (2009), 094111 | DOI
[5] B. L. Gyorffy, A. J. Pindor, J. Staunton et al., “A first-principles theory of ferromagnetic phase transitions in metals”, Journal of Physics F: Metal Physics, 15:6 (1985), 1337–1386 | DOI
[6] M. Marsman, J. Hafner, “Broken symmetries in the crystalline and magnetic structures of g-iron”, Physical Review B, 66 (2002), 224409 | DOI
[7] G. J. Shiflet, J. R. Bradley, H. I. Aaronson, “Further considerations on the thermodynamics of the proeutectoid ferrite reaction in $\mathrm{Fe}$-$\mathrm{C}$ alloys”, Metallurgical Transactions A, 15 (1984), 1287–1288 | DOI
[8] P. Gustafson, “Thermodynamic evaluation of the $\mathrm{Fe}$-$\mathrm{C}$ system”, Scandinavian Journal of Metallurgy, 14:5 (1985), 259–267
[9] Mogutnov B. M., Tomilin I. A., Shvartsman L. A., Thermodynamics of ferroalloys, Metallurgiya Publ., M., 1984, 206 pp. (in Russ.)
[10] J. A. Lobo, G. H. Geiger, “Thermodynamics of carbon in austenite and $\mathrm{Fe}$-$\mathrm{Mo}$ austenite”, Metallurgical Transactions A, 7:8 (1976), 1359–1364 | DOI
[11] D. J. Hepburn, D. Ferguson, S. Gardner, G. J. Ackland, “First-principles study of helium, carbon, and nitrogen in austenite, dilute austenitic iron alloys, and nickel”, Physical Review B, 88 (2013), 024115 | DOI
[12] D. W. Boukhvalov, Y. N. Gornostyrev, M. I. Katsnelson, A. I. Lichtenstein, “Magnetism and Local Distortions near Carbon Impurity in g-Iron”, Physical Review Letters, 99 (2007), 247205 | DOI
[13] J. A. Slane, C. Wolverton, R. Gibala, “Experimental and Theoretical Evidence for Carbon-Vacancy Binding in Austenite”, Metallurgical and Materials Transactions A, 35:8 (2004), 2239–2245 | DOI
[14] A. V. Ponomareva, Yu. N. Gornostyrev, I. A. Abrikosov, “Ab initio calculation of the solution enthalpies of substitutional and interstitial impurities in paramagnetic FCC $\mathrm{Fe}$”, Physical Review B, 90 (2014), 014439 | DOI
[15] Nadutov V. M., Interatomic interaction and distribution of interstitial atoms in iron-nitrogenuous and iron-carbon alloys, Dr. phys. and math. sci. synopsis of diss., IMF NAN Ukrainy im. G. V. Kurdyumova, Kiev, 1997, 55 pp. (in Russ.)
[16] Gavrilyuk V. G., Carbon distribution in steel, Naukova Dumka, Kiev, 1987, 208 pp. (in Russ.)
[17] K. Oda, H. Fujimura, H. Ino, “Local interactions in carbon-carbon and carbon-$\mathrm{M}$ ($\mathrm{M}$: $\mathrm{Al}$, $\mathrm{Mn}$, $\mathrm{Ni}$) atomic pairs in FCC $\gamma$-iron”, Journal of Physics: Condensed Matter, 6:3 (1994), 679 | DOI
[18] M. S. Blanter, “Interaction of interstitial carbon atoms in austenite”, Acta Metallurgica, 41 (1999), 7–8
[19] Mogutnov B. M., Tomilin N. A., Shvartsman L. A., Thermodynamics of iron-carbon alloys, Metallurgiya Publ., M., 1972, 328 pp. (in Russ.)
[20] Y. Mou, H. I. Aaronson, “The carbon-carbon interaction energy in alpha $\mathrm{Fe}$-$\mathrm{C}$ alloys”, Acta Metallurgica, 37:3 (1989), 757–765 | DOI
[21] Kozheurov V. A., Izvestiya VUZov. Chernaya metallurgiya, 1965, no. 2, 10–16 (in Russ.)
[22] W. W. Dunn, R. B. McLellan, “The Application of Quassi-chemical Solid Solution Model to Carbon Austenite”, Metall Trans., 1:5 (1970), 1263–1265
[23] R. B. Mclellan, “The $\mathrm{C}$-$\mathrm{C}$ interaction energy in iron-carbon solid solutions”, Acta Metallurgica, 35:8 (1987), 2151–2156 | DOI
[24] A. N. Timoshevskii, S. O. Yablonovskii, “Ab-initio modeling of the short range order in $\mathrm{Fe}$-$\mathrm{N}$ and $\mathrm{Fe}$-$\mathrm{C}$ austenitic alloys”, Functional Materials, 18:4 (2011), 517–522
[25] N. I. Medvedeva, M. S. Park, D. C. V. Aken, J. E. Medvedeva, “First-principles study of $\mathrm{Mn}$, $\mathrm{Al}$ and $\mathrm{C}$ distribution and their effect on stacking fault energies in FCC $\mathrm{Fe}$”, Journal of Alloys and Compounds, 582 (2014), 475–482 | DOI
[26] Ridnyi Ya. M., Mirzoev A. A., Mirzaev D. A., “Ab-initio calculation of interaction energies between carbon atoms in a antiferromagnetic double-layer FCC-iron”, Bulletin of South Ural State University. Series of “Mathematics. Mechanics. Physics”, 6:4 (2014), 53–58 (in Russ.)
[27] K. Schwarz, P. Blaha, G. K. H. Madsen, “Electronic structure calculations of solids using the WIEN2k package for material science”, Computer Physics Communications, 147 (2002), 71–76 | DOI
[28] S. Cottenier, Density Functional Theory and the family of (L)APW-methods: a step-by-step introduction, , 2004 http://www.wien2k.at/reg_user/textbooks/DFT_and_LAPW-2_cottenier.pdf
[29] H. J. Monkhorst, J. D. Pack, “Special points for Brillouin-zone integrations”, Physical Review B, 13:12 (1976), 5188–5192 | DOI
[30] Ridnyi Ya. M., Mirzoev A. A., Mirzaev D. A., “Ab-initio simulation of influence of short-range ordering carbon impurities on the energy of their dissolution in the FCC-iron”, Bulletin of South Ural State University. Series of “Mathematics. Mechanics. Physics”, 5:2 (2013), 108–116 (in Russ.)
[31] M. Onink, C. M. Brakman, F. D. Tichelaar et al., “The lattice parameters of austenite and ferrite in $\mathrm{Fe}$-$\mathrm{C}$ as functions of carbon concentration and temperature”, Scripta Metallurgica Et Materialia, 29:8 (1993), 1011–1016 | DOI
[32] Deyanov R. Z., Eremin N. N., Urusov V. S., ODSS (Ordered-Disordered-Solid-Solution) Ver.1.- binary. Calculation of unordered supercells for simulation of substitution solid solution, M., 2006–2007
[33] Ridnyi Ya. M., Mirzoev A. A., Mirzaev D. A., “Ab-initio simulation of dissoilution energy of carbon atom in the paramagnetic state of FCC-iron”, Bulletin of South Ural State University. Series of “Mathematics. Mechanics. Physics”, 6:3 (2014), 86–91 (in Russ.)