Baonza equation of state: Difference between revisions
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Baonza, ''et al'' formulated an equation based on a linear bulk modulus called the '''Baonza equation of state'''<ref> | Baonza, ''et al'' formulated an equation based on a linear [[Compressibility | bulk modulus]] called the '''Baonza equation of state'''<ref>[http://dx.doi.org/10.1103/PhysRevB.53.5252 Valentín García Baonza, Mercedes Taravillo, Mercedes Cáceres, and Javier Núñez "Universal features of the equation of state of solids from a pseudospinodal hypothesis", Physical Review B '''53''' pp. 5252-5258 (1996)]</ref>. It has a simple analytical form but also gives similar accuracy to the [[Rose-Vinet (Universal) equation of state]]. The equation of state is: | ||
:<math>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]</math> | :<math>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]</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>\gamma</math> relates the bulk modulus and its pressure derivative via: | where <math>B_0</math> is the isothermal bulk modulus, <math>B_0'</math> is the [[pressure]] derivative of the bulk modulus and <math>\gamma</math> relates the bulk modulus and its pressure derivative via: | ||
:<math>B=B_0\left(1+\frac{B_0'}{B_0}P\right)^{\gamma}</math> | :<math>B=B_0\left(1+\frac{B_0'}{B_0}P\right)^{\gamma}</math> | ||
Latest revision as of 13:30, 7 November 2011
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 (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{\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 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_0} is the isothermal bulk modulus, 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_0'} 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 \gamma} 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}}