Elastic properties of aluminum and lead

The binding energy, temperature dependence of the second-order elastic constants, their derivatives with respect to pressure, and the third-order elastic moduli of aluminum and lead are investigated by using the Animalu–Heine-type local pseudopotential model which was employed successfully earlier to describe a wide range of properties of alkali metals. The results obtained in this study are compared with those of other authors and with experiment. It is shown that, despite the fact that covalent effects are neglected, this model describes the static properties of these polyvalent metals better than other models do, although it does provide a somewhat less accurate description than it does for alkali metals. Conditions for optimization of the model are discussed in the paper.