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Linear dielectric thermodynamics are formally developed to explore theisothermal and adiabatic temperature - pressure dependence of dielectricconstants. The refractive index of optical materials is widely measured in theliterature: it is both temperature and pressure dependent. The argument toestablish the dielectric constant's isentropic temperature dependence is athermodynamic one and is thus applicable to all physical models that describeelectron clouds and electronic resonances within materials. The isentropicslope of the displacement field versus the electric field at all temperaturesis described by an adiabatic dielectric constant in an energy-per-unit masssystem. This slope is shown through the electronic part of the entropy to beunstable at high temperatures due to the change in the curvature of thetemperature dependence of the dielectric constant. The electronic entropycontribution for optical, thermo-electro materials has negative heat capacitieswhich are unacceptable. The dielectric constant's temperature and pressuredependence is predicted to be only dependent on the specific volume soisentropes are always positive. A new universal form for the dielectricconstant follows from this hypothesis: the dielectric constant is proportionalto the square root of the specific volume.

Linear Dielectric Thermodynamics: A New Universal Law for Optical, Dielectric Constants