K. Wang et Rr. Reeber, The perfect crystal, thermal vacancies and the thermal expansion coefficient of aluminium, PHIL MAG A, 80(7), 2000, pp. 1629-1643
The thermal expansion coefficient of an Al perfect crystal is predicted by
our alpha(V)K(T)V model. Thermal defect contributions and their formation p
arameters are determined by subtracting model results from various macrosco
pic expansion coefficient measurements. The results are compared with exten
sive theoretical and experimental determinations of the vacancy formation p
arameters for Al. The formation parameters obtained here are 0.67 eV for th
e enthalpy and 2.66k for the entropy. The vacancy concentration estimated a
t the melting point is 3.4 x 10(-3) Our approach provides a basis for the c
alculation of the high-temperature-pressure properties of Al and serves as
a guide for other defect-free theoretical calculations. The method can be e
xtended to other fee crystals.