Abstract
The formation of silicon–carbon and silicon–oxygen complexes during cooling after the growth of dislocation-free silicon single crystals has been calculated using the Vlasov model of crystal formation. It has been confirmed that the complex formation begins in the vicinity of the crystallization front. It has been shown that the Vlasov model of a solid state can be used not only for the investigation of hypothetical ideal crystals, but also for the description of the formation of a defect structure of real crystals.
Similar content being viewed by others
References
V. V. Voronkov, J. Cryst. Growth 59, 625 (1982).
J. W. Cristian, The Theory of Transformations in Metals and Alloys (Pergamon, London, 1965).
V. V. Voronkov, B. Dai, and M. S. Kulkarni, Compr. Semicond. Sci. Technol. 3, 81 (2011).
M. S. Kulkarni, V. V. Voronkov, and R. Falster, J. Electrochem. Soc. 151, G663 (2004).
M. S. Kulkarni, Ind. Eng. Chem. Res. 44, 6246 (2005).
V. I. Talanin and I. E. Talanin, in New Research on Semiconductors, Ed. by T. B. Elliot (Nova Science, New York, 2006), p. 31.
V. I. Talanin and I. E. Talanin, Phys. Solid State 58 (3), 427 (2016).
V. I. Talanin and I. E. Talanin, Phys. Solid State 52 (10), 2063 (2010).
V. I. Talanin and I. E. Talanin, Phys. Solid State 56 (10), 2043 (2014).
A. A. Vlasov, Izv. Akad. Nauk SSSR 8, 248 (1944).
A. A. Vlasov and V. A. Yakovlev, Zh. Eksp. Teor. Fiz. 20, 1109 (1950).
A. A. Vlasov, Many-Body Theory (Gostekhizdat, Moscow, 1950) [in Russian].
A. A. Vlasov, Nonlocal Statistical Mechanics (Nauka, Moscow, 1978) [in Russian].
V. V. Kozlov, Nelineinaya Din. 6, 489 (2010).
V. L. Ginzburg, Vopr. Istor. Estestvoz. Tekh. 4, 5 (2000).
V. V. Vedenyapin, Kinetic Boltzmann, Vlasov, and Related Equations (Fizmatlit, Moscow, 2001; Elsevier, Amsterdam, 2011).
Yu. V. Agrafonov and G. A. Martynov, Theor. Math. Phys. 90 (1), 75 (1992).
V. I. Talanin and I. E. Talanin, Phys. Solid State 52 (9), 1880 (2010).
V. I. Mazhukin, A. V. Shapranov, and A. V. Rudenko, Mathematica Montisnigri XXX, 56 (2014).
A. Mattoni, M. Ippolito, and L. Colombo, Phys. Rev. B: Condens. Matter 76, 224103 (2007).
G. G. Savenkov, A. A. Gruzdkov, B. K. Barakhtin, and N. V. Lebedeva, Tech. Phys. 58 (2), 207 (2013).
R. A. Eremin, Kh. T. Kholmurodov, V. I. Petrenko, L. Rosta, and M. V. Avdeev, Phys. Solid State 56 (1), 81 (2014).
V. A. Gritsenko, Phys.–Usp. 51 (7), 699 (2008).
S. Yu. Davydov, A. A. Lebedev, and N. Yu. Smirnova, Phys. Solid State 51 (3), 481 (2009).
M. N. Magomedov, Tech. Phys. 58 (12), 1789 (2013).
M. N. Magomedov, Semiconductors 42 (10), 1133 (2008).
M. N. Magomedov, High Temp. 44 (4), 513 (2006).
M. N. Magomedov, Investigation of Interatomic Interaction, Vacancy Formation, and Self-Diffusion in Crystals (Fizmatlit, Moscow, 2010) [in Russian].
D. Boda and D. Henderson, Mol. Phys. 106, 2367 (2008).
V. I. Talanin and I. E. Talanin, Phys. Solid State 53 (1), 119 (2011).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.I. Talanin, I.E. Talanin, 2016, published in Fizika Tverdogo Tela, 2016, Vol. 58, No. 10, pp. 1977–1981.
Rights and permissions
About this article
Cite this article
Talanin, V.I., Talanin, I.E. Complex formation in semiconductor silicon within the framework of the Vlasov model of a solid state. Phys. Solid State 58, 2050–2054 (2016). https://doi.org/10.1134/S1063783416100371
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063783416100371