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Temperature effects on the universal equation of state of solidsRecently 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. It is shown 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.
Document ID
19870053886
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Vinet, Pascal
(NASA Ames Research Center Moffett Field, CA, United States)
Ferrante, John
(NASA Lewis Research Center Cleveland, OH, United States)
Smith, John R.
(GM Research Laboratories Warren, MI, United States)
Rose, James H.
(Iowa State University of Science and Technology, Ames, United States)
Date Acquired
August 13, 2013
Publication Date
February 1, 1987
Publication Information
Volume: 35
ISSN: 0163-1829
Subject Category
Thermodynamics And Statistical Physics
Accession Number
87A41160
Funding Number(s)
CONTRACT_GRANT: W-7405-ENG-82
Distribution Limits
Public
Copyright
Other

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