Abstract—Changes in elastic constants on amorphasization are obtained from the corresponding cubic crystal values following a theoretical scheme based on equations of motion of deformation and dispersion relations. The long wavelength limit of the dispersion relations for an amorphous system enables to connect the bulk moduli to force constants. Bulk, shear and Young moduli and Poisson ratio are obtained for amorphous Ag, Al, Au, Cr, Cu, Fe, Ge, Ir, K, Li, Mo, Na, Nb, Ni, Pb, Pd, Pt, Si, Ta, Th, V and W. We also make a connection of elastic properties to thermal properties through Debye theory. Finally, we present phonon dispersion curves computed for selected amorphous metals (Si, Pb, Ni, Al, Au, Th and Fe) and amorphous alloys (ZrCo and Zr67Ni33).

Index Terms—Amorphous metals, amorphous alloys, elastic constants, phonon dispersion.

The authors are with the Department of Physics, College of Science, PO Box 36, Sultan Qaboos University, Al Khod 123, Sultanate of Oman (e-mail: ram, issam@ squ.edu.om).

Cite:Ram N. Singh and Issam Ali, "Elastic Moduli and Phonon Dispersion Curves for Amorphous Metals and Alloys," International Journal of Applied Physics and Mathematics vol. 3, no. 4, pp. 275-279, 2013.