HEAT CAPACITY AND ENTROPY: SYSTEMATIC RELATIONS TO LATTICE VIBRATIONS.

The goal of this volume is to interpret macroscopic thermodynamic properties of minerals in terms of their atomic structures and the motions of particles in these structures. To reach this goal, we must examine the structure and volume relations of crystals, the configurational and structural energies and entropies, the enthalpies, the electronic contributions to energies, and the atomic vibrations. This paper develops the theoretical concepts that connect atomic vibrations to thermodynamics; abstracts simplifying relations from the vibrational spectra of silicates; and shows how some obvious systematic properties of the spectra ease the rather formidable problem of enumerating and quantifying the modes of vibration of crystals. Refs.