Baonza equation of state

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Baonza, et al formulated an equation based on a linear bulk modulus called the Baonza equation of state[1]. It has a simple analytical form but also gives similar accuracy to the Rose-Vinet (Universal) equation of state. The equation of state is:

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle p={\frac {\gamma B_{0}}{B_{0}'}}\left[\left(1+B_{0}'\left({\frac {1}{\gamma }}-1\right)ln\left({\frac {V_{0}}{V}}\right)\right)^{1/(1-\gamma )}-1\right]}

where is the isothermal bulk modulus, Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle B_{0}'} is the pressure derivative of the bulk modulus and relates the bulk modulus and its pressure derivative via:

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle B=B_0\left(1+\frac{B_0'}{B_0}P\right)^{\gamma}}

References

  1. V.G. Baonza, M. Taravillo, M. Caceres, and J. Nunez, Universal features of the equation of state of solids from a pseudospinodal hypothesis, Phys. Rev. B 53:5252, 1996.