Now this can be expressed in terms of the isothermal compressibility and the heat capacity ratio, as derived in the article relations between heat capacities:
2.
High-pressure simulation runs, in the range 0.5-75 kbar, were performed in order to estimate the isothermal compressibility coefficient of those compounds.
3.
For a single component system, the " standard " three parameters are the isothermal compressibility \ beta _ T, the specific heat at constant pressure c _ P, and the coefficient of thermal expansion \ alpha.
4.
But you can compute things precisely by doing a numerical integration using tabulated values for the thermal expansion coeffcient, the isothermal compressibility and the density, if you also consider the equation for the temperature change derived above.
5.
Where \ rho is the number density, g ( r ) is the radial distribution function and kT \ left ( \ frac { \ partial \ rho } { \ partial p } \ right ) is the isothermal compressibility.
6.
The cpompressibility is the isothermal compressibility, but the correction term you need to subtract to compute the isentropic compressibility would change it by a few percent and the value for the compressibility isn't that accurate to start with . talk ) 16 : 24, 14 July 2010 ( UTC)
7.
Where " n " is the refraction index, " p " is the photoelastic coefficient of the glass, " k " is the Boltzmann constant, and " ? " is the isothermal compressibility . " T " f is a " fictive temperature ", representing the temperature at which the density fluctuations are " frozen " in the material.
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