Root mean square amplitudes of vibration and associated Debye temperatures of beryllium, scandium and ruthenium

Abstract

From X-ray diffraction data, the Debye-Waller factor, rms amplitudes of vibration, and associated Debye temperatures of Beryllium (Be), Scandium (Sc), and Ruthenium (Ru) are obtained/measured. A powder X-ray diffractometer is used to calculate the integrated intensities. Very small anisotropy observed in these parameters is limited by investigational errors. The directional experimental values, theoretical measurements are used to equate experimental values of Debye temperature to the theoretical values. Be, Sc, and Ru vacancy formation energies are also measured using a relationship involving the X-ray Debye temperature. The M values obtained in this study for Be, Sc, and Ru are consistent with those obtained from real data and elastic constants. It should be noted, however, that exact agreement between the values of θM and θD, θE.is unlikely, the values of vacancy formation energies are useful in understanding the diffraction of most pure metals.