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Thermodynamic equations
Laws of thermodynamics
Conjugate variables
Thermodynamic potentials
Material properties specific heat compressibility thermal expansion
Maxwell relations
Bridgman's equations
Exact differential
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The thermodynamic properties of materials are intensive thermodynamic parameters which are specific to a given material. Examples for a simple 1-component system are:

• Compressibility (or its inverse, the bulk modulus)

• Isothermal compressibility

<math>\beta_T=-\frac{1}{V}\left(\frac{\partial V}{\partial P}\right)_T</math>

• Adiabatic compressibility

<math>\beta_S=-\frac{1}{V}\left(\frac{\partial V}{\partial P}\right)_S</math>

• Specific heat (Note - the extensive analog is the heat capacity)

• Specific heat at constant pressure

<math>c_P=\frac{T}{N}\left(\frac{\partial S}{\partial T}\right)_P</math>

• Specific heat at constant volume

<math>c_V=\frac{T}{N}\left(\frac{\partial S}{\partial T}\right)_V</math>

• Coefficient of thermal expansion

<math>\alpha=\frac{1}{V}\left(\frac{\partial V}{\partial T}\right)_P</math>

where P  is pressure, V  is volume, T  is temperature, S  is entropy, and N  is the number of particles.

Only three material parameters are needed to determine the others. For example, the following equations are true:

<math>c_P=c_V+\frac{TV\alpha^2}{N\beta_T}</math>

<math>\beta_T=\beta_S+\frac{TV\alpha^2}{Nc_P}</math>

[edit] References

Callen, Herbert B. (1985). Thermodynamics and an Introduction to Thermostatistics, 2nd Ed., New York: John Wiley & Sons. ISBN 0-471-86256-8.