2000/05/05 by Leonid Burakovsky, Dean L. Preston, Richard R. Silbar · 1 citation
Earth and Planetary Sciences · Materials Science · Physics and Astronomy · #High-pressure geophysics and materials #Nuclear Materials and Properties #Rare-earth and actinide compounds #cond-mat
paper · pdf · doi:10.1063/1.1323535
published as J. Appl. Phys. 88 (2000) 6294 · 19 pages, LaTeX, 9 eps figures
arxiv created 2000/05/05 · openalex publication_date 2000/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In the framework of melting as a dislocation-mediated phase transition we derive an equation for the pressure dependence of the melting temperatures of the elements valid up to pressures of order their ambient bulk moduli. Melting curves are calculated for Al, Mg, Ni, Pb, the iron group (Fe, Ru, Os), the chromium group (Cr, Mo, W), the copper group (Cu, Ag, Au), noble gases (Ne, Ar, Kr, Xe, Rn), and six actinides (Am, Cm, Np, Pa, Th, U). These calculated melting curves are in good agreement with existing data. We also discuss the apparent equivalence of our melting relation and the Lindemann criterion, and the lack of the rigorous proof of their equivalence. We show that the would-be mathematical equivalence of both formulas must manifest itself in a new relation between the Grüneisen constant, bulk and shear moduli, and the pressure derivative of the shear modulus.