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DOI: 10.15330/pcss.16.1.28-33
D.M. Freik1, B.P. Volochanska1, T.O. Parashchuk2
Thermodynamic Parameters of PbTe Crystals:
DFT-Calculations
1 Department of Physics and Chemistry of Solid State, Physical Chemical Institute
Vasyl Stefanyk Precarpathian National University
57, Shevchenko Str., 76018, Ivano-Frankivsk, Ukraine, E-mail:bvolochanska@i.ua
2Ivano-Frankivsk National Medical University, 2. Halytska Str., Ivano-Frankivsk, 76018, Ukraine, E-mail:taras-parashchuk@i.ua
Based on the analysis of the crystal NaCl type and electronic structure of cubic phase CdS crystals the cluster models have been built for calculation of the geometric and thermodynamic parameters. According to density functional theory (DFT) and using the hybrid valence base set B3LYP the temperature dependence of the energy ΔE and the enthalpy ΔH of formation, Gibbs free energy ΔG, entropy ΔS, specific heat at constant volume CV and pressure CP of the crystals have been found. The analytical expressions of the temperature dependences of presented thermodynamic parameters which was approximated from the quantum- chemical calculations data and with using mathematical package Maple 14 have been received.
Keywords: DFT, cluster models, the thermodynamic parameters, lead telluride.
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Reference
[1] S. Ahmad, S. D. Mahanti, K. Hoang, M. G. Kanatzidis,Phys.Rev.B, 74, 155205 (2006).
[2] X.Gao, M. S. Daw,Phys.Rev.B, 77, 033103 (2008).
[3] K.Hummer, A.Grüneis, G.Kresse,Phys. Rev. B, 75,195211(2007).
[4] O.І. Vlasenko, C.M. Levic'kij, C.A. Kris'kov, M.P. Kiseljuk, Fіzika і hіmіja tverdogo tіla 7 (4), 660(2006).
[5] V. Munoz, A. Lasbley, S. Klotz, R. Triboulet,Journal of Crystal Growth 196,. 71(1999).
[6] J.-X. Ma, Y. Jia, Y.-L. Song, E.-J Liang, L.-K. Wu, F. Wang,X.-C. Wang, X. Hu, Surface Science 551, 91 (2004).
[7] T.Mokari, M.Zhang, P.Yang, J. Am. Chem. Soc., 129 (32)9864 (2007).
[8] N. Boukhris, H. Merahdji, S. AmaraKorba, S. Drablia, S. Ghemid, F. elHajHassan, Bull. Mater. Sci 37 (5), 1159 (2014).
[9] R.Dalven,SolidStatePhysics 28, 179 (1973).
[10] V. P.Schastlivyj, D. M.Chizhikov,Tellur i telluridy(Nauka,Moskva, 1966).
[11] Ju. I. Ravich, B. A. Efimova, I. A. Smirnov, Metodi issledovanijapoluprovodnikov v primenenii k hal'kogenidamsvincaPbTe, PbSe, PbS(Nauka, Moskva, 1968).
[12] B. A. Volkov, O. A. Pankratovb Zhurnal Eksperimental'noj i teoreticheskojfiziki 45 (4(10)),1362 (1978).
[13] N. H. Abrikosov, L. E. Shelimova. Poluprovodnikovyematerialy na osnovesoedinenij AIVVVI. (Nauka, Moskva, 1975).
[14] V. M. Shperun, D. M. Freїk, R. І. Zapuhljak. Termoelektrika teluridu svincju ta jogo analogіv(Plaj, Іvano-Frankіvs'k, 2000).
[15] A. S. Pashinkin, M. S. Michailova, A. S. Malkova, V. A. Fedorov,InorganicMaterials, , 45 (11), 1226 (2009).
[16] L. D. William, JournalofAppliedPhysics, 22 (12), 1444–7 (1951).
[17] Y.-L.Pei, Y.Liu, JournalofAlloysandCompounds514,40 (2012).
[18] D. M. Freїk, V. V. Prokopіv, M. O. Galushhak, M. V. Pic, G. D. Mateїk, Kristalohіmіja і termodinamіka defektіv u spolukah AIVVVI(Plaj, Іvano-Frankіvs'k, 1999).
[19] Y.Zhang, X.Ke, C. Chen, J. Yang, P. R. C. Kent, Physicalreview B 80, 024304 (2009).
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