Lattice Dynamics of Metallic Glass Ca₇₀Mg₃₀on the Model of Bhatia and Singh

Abstract

The lattice dynamical studies of the metallic glass Ca 70 Μg30 by Bhatia and Singh on their model contained two shortcomings, firstly the electron-ion interaction matrix was wrong and secondly, the numerical value of the bulk modulus of the electron gas was accepted arbitrarily. By modifying the electron-ion dynamical matrix and determining all the model parameters from the experimental data, we made a fresh study of the lattice dynamics of Ca70 Mg30 and compared it to the earlier studies of Bhatia and Singh and also with experimental phonons.

Vibrational dynamics of Fe-based glassy alloys

“…Sarkar et al [25] have recently proposed LFF local field correction function using the quantum Monte Carlo data of Ceperley-Alder for the correlation energy of electron gas in both the "para" and "ferro" states in the given density range. The phenomenological theories of Hubbard-Beeby [12], Takeno-Goda (TG) [26,27] and Bhatia-Singh [13,28] are employed to generate the PDC. The most important ingredient of the PDC is pair potential computed theoretically in Wills-Harrison (WH) [29] form from well recognized model potentials [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19].…”

“…The theories of Hubbard-Beeby [12], Takeno-Goda [26,27] and Bhatia-Singh [13,28] have been employed in the present computation. The expressions for longitudinal phonon frequency ω L and transverse phonon frequency ω T as per HB, TG and BS approaches are given below [12,13,[26][27][28].…”

“…The expressions for longitudinal phonon frequency ω L and transverse phonon frequency ω T as per HB, TG and BS approaches are given below [12,13,[26][27][28].…”

“…Recently Bhatia-Singh [13] was modified by Shukla and Campnaha [28], and they have introduced screening effects. Then, with the above assumptions and modification, the dispersion equations for an amorphous material can be written as [13,28] …”

“…Then, with the above assumptions and modification, the dispersion equations for an amorphous material can be written as [13,28] …”