Lattice dynamics and debye temperature of AlCu, AlSi and AlGe alloy systems

Abstract

The lattice dynamics and specific heat at constant volume for AlCu alloy system is studied using our previous treatment based on the microscopic electronic theory. Considering the volume and electron density effect on the dynamical matrix of the pure constituent, we obtain the band and local mode frequencies at the temperature-dependent specific heat in the Al 1− x Cu x solid solution. Then, using the data about the mean elastic wave and the specific heat extrapolated to the absolute zero temperature, the Debye temperature is presented for the Al 1− x Cu x , Al 1− x Si x and Al 1− x Ge x alloy systems. The Debye temperature decreases as a function of the Cu atomic fraction x for Al 1− x Cu x alloy, and remarkably for Al 1− x Si x and Al 1− x Ge x solid solutions.