Editing 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<ref>Kumari, M. and Dass, N. An equation of state applied to 50 solids. ''Condensed Matter'', 2:3219, 1990.</ref>. 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: | |||
:<math>B=B_0+\frac{B_0'}{\lambda}\left(1-e^{-\lambda | :<math>B=B_0+\frac{B_0'}{\lambda}\left(1-e^{-\lambda P}\right)</math> | ||
where <math>B_0</math> is the isothermal bulk modulus, <math>B_0'</math> is the pressure derivative of the bulk modulus and <math>\lambda</math> is a softening parameter for the bulk modulus. This leads to a equation for pressure dependent on these parameters of the form: | where <math>B_0</math> is the isothermal bulk modulus, <math>B_0'</math> is the pressure derivative of the bulk modulus and <math>\lambda</math> is a softening parameter for the bulk modulus. This leads to a equation for pressure dependent on these parameters of the form: | ||
:<math> | :<math>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]</math> | ||