Calculated Vibrational Spectra and Specific Heats of Lithium and Vanadium

Vibrational spectra and specific heats have been calculated for lithium and vanadium, from measured elastic constants, on the basis of three different models. Two of the models are of the Born-von K\'arm\'an type. One of these considers only central forces between nearest and next-nearest neighbors; the other includes noncentral forces between nearest neighbors and central forces between next-nearest neighbors. The third model is due to de Launay. The calculated quantities from all models are compared with the available empirical values and values calculated by others. It is concluded that none of the models is a satisfactory representation of either metal.