Empirical equations of state for solids |
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Authors: | Laird C Towle |
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Institution: | (1) Naval Research Laboratory, 20375 Washington, D.C., USA |
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Abstract: | A comparison of three one-parameter empirical equations of state due to Lennard-Jones, Bardeen, and Birch using Bridgman's
experimental compression data shows that they do not generally fit the data within experimental error. Heuristic arguments
are used to derive a well known three-parameter equation of state which includes these equations as special cases. Several
simple two-parameter equations of state, including the Murnaghan equation, can be obtained as special cases of the general
form. All of these two-parameter equations are shown to fit Bridgman's data within experimental error with about equal success.
It is also shown that the general three-parameter equation, and hence its special cases, is consistent with the observation
of Grover, Getting, and Kennedy that the log of the bulk modulus of solids is a linear function of compression. Several of
the two-parameter special cases are shown to give satisfactory extrapolations. |
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Keywords: | Empirical equations of state Compression of solids |
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