Crystal equilibrium and lattice dynamics of vanadium

A lattice-dynamical model which assumes short-range pairwise forces effective up to second nearest neighbours and the electronion interaction on the lines of Bhatia is considered to study the crystal dynamics of b.c.c. metals by using an appropriate value of the screening parameter. The volume force is averaged over the whole Wigner-Seitz sphere. The ionic lattice is in equilibrium in a medium of electrons. The present theory has been satisfactorily applied to compute the dispersion curves, the frequency spectrum, the lattice specific heat, the Debye characteristic temperature, the temperature dependence of the Debye-Waller factor, the X-ray Debye temperature and the mean-square displacement of the atoms of vanadium. (author)