Main Article Content
Abstract: The analytic expressions of the free energy, the mean nearest neighbor distance between two atoms, the elastic moduli such as the Young modulus E, the bulk modulus K, the rigidity modulus G and the elastic constants C11, C12, C44 for interstitial alloy AB with BCC structure under pressure are derived from the statistical moment method. The elastic deformations of main metal A is special case of elastic deformation for interstitial alloy AB. The theoretical results are applied to alloy FeC under pressure. The numerical results for this alloy are compared with the numerical results for main metal Fe and experiments.
Keywords: interstitial alloy, elastic deformation, Young modulus, bulk modulus, rigidity modulus, elastic constant, Poisson ratio.
 K. E. Mironov (1967), Interstitial alloy. Plenum Press, New York
 A. A. Smirnov (1979), Theory of Interstitial Alloys, Nauka, Moscow (in Russian)
 T. T. Lau, C. J. Först, X. Lin, J. D. Gale, S. Yip, K. J. Van Vliet (2007), Phys. Rev. Lett.98, 215501.
 L. S. I. Liyanage, S-G. Kim, J. Houze, S. Kim, M. A. Tschopp, M. I. Baskes, M. F. Horstemeyer(2014), Phys. Rev. B89, 094102.
 N. Tang , V. V. Hung (1988, 1990, 1990, 1990), Phys. Stat. Sol. (b)149, 511; 161, 165; 162, 371; 162, 379
 V. V. Hung (2009), Statistical moment method in studying thwermodynamic and elastic property of crystal, HNUE Publishing House, 2009
 N. Q. Hoc, D. Q. Vinh, B. D.Tinh, T. T. C.Loan, N. L. Phuong, T.T.Hue, D.T.T.Thuy (2015), Journal of Science of HNUE, Math. and Phys. Sci. 60, 7, 146
 M. N. Magomedov (1987),J. Fiz. Khimic61, 1003 (in Russian).
 T. L. Timothy, J. F. Clemens, Xi Lin, D. G. Julian, Y. Sidney, J. V. V. Krystyn (2007), Phys. Rev. Lett.98, 215501
 http://www.engineeringtoolbox.com/young-modulus-d_773.htm. Young’s modulus of elasticity for metals and alloys.
L.V.Tikhonov, V.A.Kononenko, G.I.Prokopenko et al, (1986), Mechanical Properties of Metals and Alloys, Naukova Dumka, Kiev (in Russian)
 V.V.Hung, N.T.Hai (1999), Computational Materials Science14, pp.261-266
 S. Klotz, M. Braden (2000). Phonon dispersion of bcc iron to 10 GPa. Phys.Rev.Let. 85, 15, 3209.
 X. Sha &R. E. Cohen (2006). First-principles thermoelasticity of bcc iron under pressure. Phys. Rev.B, 74, 21, 214111.
 H.Cyunn and C.-S.Yoo, Equation of state of tantalum to 174 GPa(1999), Phys. Rev.B, 59, 8526
 M.J. Mehl and D.A.Papaconstantopoulos (1996), Applications of a tight-binding total-energy method for transition and noble metals: Elastic constants, vacancies and surfaces of monatomic metals, Phys. Rev.B, 54, 4519.