The thermodynamic properties of materials are intensive thermodynamic parameters which are specific to a given material. Each is directly related to a second order differential of a thermodynamic potential. Examples for a simple 1component system are:


Isothermal compressibility

\beta_T=\frac{1}{V}\left(\frac{\partial V}{\partial P}\right)_T \quad = \frac{1}{V}\,\frac{\partial^2 G}{\partial P^2}

Adiabatic compressibility

\beta_S=\frac{1}{V}\left(\frac{\partial V}{\partial P}\right)_S \quad = \frac{1}{V}\,\frac{\partial^2 H}{\partial P^2}


Specific heat at constant pressure

c_P=\frac{T}{N}\left(\frac{\partial S}{\partial T}\right)_P \quad = \frac{T}{N}\,\frac{\partial^2 G}{\partial T^2}

Specific heat at constant volume

c_V=\frac{T}{N}\left(\frac{\partial S}{\partial T}\right)_V \quad = \frac{T}{N}\,\frac{\partial^2 A}{\partial T^2}


\alpha=\frac{1}{V}\left(\frac{\partial V}{\partial T}\right)_P \quad = \frac{1}{V}\,\frac{\partial^2 G}{\partial P\partial T}
where P is pressure, V is volume, T is temperature, S is entropy, and N is the number of particles.
For a single component system, only three second derivatives are needed in order to derive all others, and so only three material properties are needed to derive all others. 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.
For example, the following equations are true:

c_P=c_V+\frac{TV\alpha^2}{N\beta_T}

\beta_T=\beta_S+\frac{TV\alpha^2}{Nc_P}
The three "standard" properties are in fact the three possible second derivatives of the Gibbs free energy with respect to temperature and pressure.
Sources
The Dortmund Data Bank is a factual data bank for thermodynamic and thermophysical data.
See thermodynamic databases for pure substances.
References
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