Abstract: Patterns in new dimensionless quantities containing melting temperature, and their dependence on pressure​

U. Walzer. Patterns in new dimensionless quantities containing melting temperature, and their dependence on pressure. Annali di Geofisica, 33:5-36, Rome, 1980.

Patterns in new dimensionless quantities containing melting temperature, and their dependence on pressure

U. Walzer

Zentralinstitut für Physik der Erde, Institutsteil Jena
Burgweg 11, DDR-6900 Jena, GDR.

Abstract

The relationships existing between melting temperature and other macroscopic physical quantities are investigated. A new dimensionless quantity Q₀ not containing the Grüneisen parameter proves to be suited for serving in future studies as a tool for the determination of the melting temperature in the outer core of the Earth. The pressure dependence of more general dimensionless quantities Q_j is determined analytically and, for the chemical elements, numerically, too. The patterns of various interesting dimensionless quantities are shown in the Periodic Table and compared.

Key words: melting temperature, equation of state, high pressure, Grüneisen parameter, outer core, Earth, Periodic Table, Leibfried number, Bragg number

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