Kumari-Dass equation of state

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Another model based on a linear bulk modulus equation, in the spirit of the Murnaghan equation of state was presented by Kumari and Dass[1]. The equation of state does not correctly model the bulk modulus as the pressure tends towards infinity, as it remains bounded. This is apparent in the equation relating the bulk modulus to pressure:

where is the isothermal bulk modulus, is the pressure derivative of the bulk modulus and 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 \lambda} is a softening parameter for the bulk modulus. This leads to a equation for pressure dependent on these parameters of the form:

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=\frac{1}{\lambda}\left[\frac{\lambda B_0 \left(V/V_0\right)^{-\lambda B_0 + B_0'}+B_0'}{\lambda B_0 + B_0'}\right]}


References

  1. Kumari, M. and Dass, N. An equation of state applied to 50 solids. Condensed Matter, 2:3219, 1990.