Abstract
Various higher order equations of state (EOS) are compared with theoretical predictions for strong compression as well as with different linearization schemes. One specially convenient EOS together with a conjugated linearization scheme is presented as a series expansions with the appropriate asymptotic behaviour at very strong compression. Tests for the uncertainties in EOS extrapolations are discussed. A comparison with literature data for highly compressible solids illustrates the advantages of the present EOS with respect to many other commonly used forms.

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