Lindemann Law and Lattice Dynamics
- 15 May 1970
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 1 (10) , 3982-3989
- https://doi.org/10.1103/physrevb.1.3982
Abstract
Using lattice dynamics, the Lindemann law of melting has been tested for five body-centered and six face-centered metallic elements. The law is obeyed by all five of the bcc alkali metals; the average Lindemann parameter is 0.113. Four of the six fcc metals, Al, Cu, Ag, and Au, also obey the law with an average value for the Lindemann parameter of 0.071. Explanations are proposed why the agreement of Ni and Pb with the fcc value is not as good. The improvements are obtained by the use of spectral moments and data, where available, on physical properties at high temperature. The slopes of the melting curves have been calculated and are found to be consistently lower than the values experimentally determined, probably because of the unavailability of data on properties at high temperature.Keywords
This publication has 24 references indexed in Scilit:
- Temperature Dependence of the Elastic Constants of Cu, Ag, and Au above Room TemperatureJournal of Applied Physics, 1966
- Effect of pressure on the melting of ironJournal of Geophysical Research, 1965
- Variation of the Amplitude of Thermal Vibration on the Fusion CurvePhysical Review B, 1956
- Amplitudes of Thermal Vibration at FusionPhysical Review B, 1956
- The Lindemann and Grüneisen LawsPhysical Review B, 1956
- Frequency Spectrum of Crystalline Solids. III. Body-Centered Cubic LatticesThe Journal of Chemical Physics, 1944
- Frequency Spectrum of Crystalline Solids. II. General Theory and Applications to Simple Cubic LatticesThe Journal of Chemical Physics, 1943
- Frequency Spectrum of Crystalline SolidsThe Journal of Chemical Physics, 1942
- The effect of temperature on the reflexion of X-raysMathematical Proceedings of the Cambridge Philosophical Society, 1937
- The elastic constants and specific heats of the alkali metalsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1936