Mean square amplitudes of vibration and associated Debye temperatures of dysprosium, gadolinium, lutetium and yttrium

Abstract

The directional mean square amplitudes of vibration and associated Debye temperatures of hexagonal Dy, Gd, Lu and Y have been obtained from X-ray intensities. The integrated intensities have been measured with a Philips PW 1051 powder diffractometer fitted with a proportional counter using CuK sub z radiation at room temperature and have been corrected for thermal diffuse scattering. The experimental values of directional Debye temperature have been compared with corresponding values obtained from theoretical calculations. Values of energy of vacancy formation for the metals studied have been estimated using a relation connecting it with the Debye temperature given by H.R. Glyde (J. Phys. Chem. Solids , 1967, 28, 2061).