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Notes
- 1.
When m is a real number, the term (1 + x)n can be expressed, according to binomial series, as \((1 + {\rm{x}})^{\rm{n}} = 1 + {\rm{nx}} + \dfrac{{{\rm n}({\rm n}-1)}}{2!}{\rm{x}}^2 + \dfrac{{{\rm n}({\rm n}-1)({\rm n}-2)}}{3!}{\rm{x}}^3 + \cdot \cdot\cdot \cdot\)
- 2.
Ghiorso (2004) has shown that there is a region in the P-T space that is sometimes accessed by silicate melts owing to their high values of α at which the Vinet EoS suffers from the problem of mathematical singularity. He has, thus, proposed a new EoS that does not suffer from the limitation of singular behavior of the Vinet EoS, and applied that to treat the thermodynamic properties of silicate melt.
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© 2008 Springer-Verlag Berlin Heidelberg
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Ganguly, J. (2008). Critical Phenomenon and Equations of States. In: Thermodynamics in Earth and Planetary Sciences. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77306-1_5
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DOI: https://doi.org/10.1007/978-3-540-77306-1_5
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