Rose-Vinet (Universal) equation of state
Vinet
In order to rectify the excessive stiffness of the Murnaghan equation of state as well as represent the exponential dependence of the repulsion as solid undergoes infinite compression, Vinet proposed an equation of state that has widely as either the Vinet equation of state or Universal equation of state[1]. The latter due to the fact that the equation of state was formulated so that one form could represent all solids, depending only on the calibration point. Using the shorthand for the cube root specific volume:
- 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 \eta=\left(\frac{V}{V_0}\right)^{\frac{1}{3}}}
the equation of state is:
- 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 p=3B_0\left(\frac{1-\eta}{\eta^2}\right)e^{\frac{3}{2}(B_0'-1)(1-\eta)}}
Rose-Vinet
References
- ↑ P.Vinet, J.R. Smith, J. Ferrante, and J.H. Rose. Temperature effects on the universal equation of state of solids. Phys. Rev. B, 35:1945,1987