Vibrational contribution to heat capacity of solid is explained. The Debye model is introduced through semi-classical consideration. It is emphasized that the Debye model does not assume the isotropy of solid. Lattice dynamical calculation of phonon density of states is described within a harmonic approximation for a 1-dimensional crystal in detail. Application to molecular solids is outlined while assuming the use of the atom-atom potential method. Some examples are described of utilization of lattice dynamical calculation and of analysis of lattice heat capacity. Briefly commented are advanced topics of lattice heat capacity, including localization of vibration and low-energy excitation in disordered system, anharmonic cases, and phason contribution in incommensurately modulated system.

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Measurements of quantum oscillation is recognized as a powerful experiment to investigate the electronic states in metals because the microscopic information of the Fermi surfaces is directly obtained. We have developed miniature heat capacity cells for the high sensitive detection at low temperatures under high magnetic fields, and successfully observed the quantum oscillation in the heat capacity for a small crystal of an organic superconductor.

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The physical adsorption of vapor and supercritical gases on carbon nanotubulites is described. The molecular interaction potential between carbon nanotubulite assembly and a molecule is shown. The carbon nanotubulite has potential profiles different from activated carbons, indicating its characteristic adsorption property. A favorable adsorption characteristic of the carbon nanotubulites for supercritical methane is discussed.

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