Baonza equation of state: Difference between revisions

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(Created page with "Baonza, ''et al'' formulated an equation based on a linear bulk modulus called the '''Baonza equation of state'''<ref>V.G. Baonza, M. Taravillo, M. Caceres, and J. Nunez, Univers...")
 
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Baonza, ''et al'' formulated an equation based on a linear bulk modulus called the '''Baonza equation of state'''<ref>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.</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:
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:

where is the isothermal bulk modulus, is the pressure derivative of the bulk modulus and relates the bulk modulus and its pressure derivative via:

References[edit]