The collective dynamics (longitudinal and transverse phonon modes) are studied for aluminum-copper (Al-Cu) binary alloy in terms of the eigen-frequencies of the localized collective excitations. The model pseudopotential formalism is employed using a self-consistent phonon scheme by involving multiple scattering and phonon eigen-frequencies. These frequencies are expressed in terms of many-body correlation functions of atoms as well as of interatomic potential. The important ingredients in the present study are the pair-potential and pair-correlation functions. The most recent and sparingly used local field correlation functions are employed to investigate the influence of the screening effects on the vibrational dynamics of non-crystalline Al83Cu17 binary alloy. The results for the elastic constants like bulk modulus BT, rigidity modulus G, Poisson's ratio ξ, Young's modulus Y, Debye temperature θD, propagation velocity of elastic waves and dispersion curves are reported based on the collective modes of this binary alloys. The present results are consistent and confirm the applicability of model potential and self-consistent phonon theory for such studies.
The collective dynamics (longitudinal and transverse phonon modes) are studied for aluminum-copper (Al-Cu) binary alloy in terms of the eigen-frequencies of the localized collective excitations. The model pseudopotential formalism is employed using a self-consistent phonon scheme by involving multiple scattering and phonon eigen-frequencies. These frequencies are expressed in terms of many-body correlation functions of atoms as well as of interatomic potential. The important ingredients in the present study are the pair-potential and pair-correlation functions. The most recent and sparingly used local field correlation functions are employed to investigate the influence of the screening effects on the vibrational dynamics of non-crystalline Al83Cu17 binary alloy. The results for the elastic constants like bulk modulus BT, rigidity modulus G, Poisson's ratio ξ, Young's modulus Y, Debye temperature θD, propagation velocity of elastic waves and dispersion curves are reported based on the collective modes of this binary alloys. The present results are consistent and confirm the applicability of model potential and self-consistent phonon theory for such studies.
B. Y. Thakore;S. G. Khambholja;P. H. Suthar;N. K. Bhatt;A. R. Jani. Collective Modes and Elastic Constants of Liquid Al83Cu17 Binary Alloy[J]. 中国物理快报, 2010, 27(9): 96203-096203.
B. Y. Thakore, S. G. Khambholja, P. H. Suthar, N. K. Bhatt, A. R. Jani. Collective Modes and Elastic Constants of Liquid Al83Cu17 Binary Alloy. Chin. Phys. Lett., 2010, 27(9): 96203-096203.
[1] Magnin P and Trivedi R 1991 Acta Metall. 39 453 [2] Cadirli E, Ülgen A and Gündüz M 1999 Materials Transaction JIM 40 989 [3] Cusack N E 1987 The Physics of Structurally Disordered Matter (Bristol: IOP Publishing) [4] Hubbard J and Beeby J L 1969 J. Phys. C: Solid State Phys. 2 556 [5] Takeno S and Goda M 1971 Prog. Theor. Phys. 45 331 Takeno S 1972 Prog. Theror. Phys. 47 790 [6] Bhatia A B and Singh R N 1985 Phys. Rev. B 31 4751 [7] Thakore B Y, Gajjar P N and Jani A R 2000 Bull. Mat. Sci. 23 5 [8] Thakore B Y, Dabhi H, Joshi M and Jani A R 2009 Phys. Scr. 79 0250007 [9] Pratap A, Lad K N and Raval K G 2004 Pramana J. Phys. 63 431 [10] Brillo J et al 2006 J. Non-Cryst. Solids 352 4008 [11] Ashcroft N W 1966 Phys. Lett. 23 48 [12] Gupta A et al 1997 J. Phys. Chem. Solids 58 33 [13] Harrison W A 1969 Phys. Status Solidi B 181 1036 [14] Taylor R 1978 J. Phys. F 8 1699 [15] Ichimaru S and Utsumi K 1981 Phys. Rev. B 24 3220 [16] Farid B et al 1993 Phys. Rev. B 48 11602 [17] Sarkar A et al 1999 Mod. Phys. Lett. B 12 639 [18] Varshneya A K, Sreeram A N and Swiller D R 1993 Phys. Chem. Glasses 34 179 [19] The experimental results of elastics constants for pure crystalline Al and Cu are taken from http://webelements.com