Temperature effects on the universal equation of state of solids

Journal Article · Sun Feb 01 00:00:00 EST 1987 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.35.1945· OSTI ID:5958007

Vinet, P; Smith, J R; Ferrante, J; Rose, J H

Recently it has been argued, based on theoretical calculations and experimental data, that there is a universal form for the equation of state of solids. This observation was restricted to the range of temperatures and pressures such that there are no phase transitions. The use of this universal relation to estimate pressure-volume relations (i.e., isotherms) required three input parameters at each fixed temperature. In this paper we show that for many solids the input data needed to predict high-temperature thermodynamical properties can be dramatically reduced. In particular, only four numbers are needed: (1) the zero pressure (P = 0) isothermal bulk modulus, (2) its P = 0 pressure derivative, (3) the P = 0 volume, and (4) the P = 0 thermal expansion; all evaluated at a single (reference) temperature. Explicit predictions are made for the high-temperature isotherms, the thermal expansion as a function of temperature, and the temperature variation of the isothermal bulk modulus and its pressure derivative. These predictions are tested using experimental data for three representative solids: gold, sodium chloride, and xenon. Good agreement between theory and experiment is found.

• Research Organization: National Aeronautics and Space Administration, Lewis Research Center, Cleveland, Ohio 44135
• OSTI ID: 5958007
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Vol. 35:4
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
SOLIDS
EQUATIONS OF STATE
ELASTICITY
GOLD
SODIUM CHLORIDES
TEMPERATURE DEPENDENCE
THERMAL EXPANSION
XENON
ALKALI METAL COMPOUNDS
CHLORIDES
CHLORINE COMPOUNDS
ELEMENTS
EQUATIONS
EXPANSION
FLUIDS
GASES
HALIDES
HALOGEN COMPOUNDS
MECHANICAL PROPERTIES
METALS
NONMETALS
RARE GASES
SODIUM COMPOUNDS
TENSILE PROPERTIES
TRANSITION ELEMENTS
656000* - Condensed Matter Physics