Heat capacity of an ordered bundle of single-walled carbon nanotubes

A quantum-statistical model of the thermodynamic properties of an ordered bundle of the single-walled carbon nanotubes is proposed. Generalization of the Debye heat capacity theory for the $d$ dimensional phonon continuum is used to calculate the heat capacity. A formula for isochoric heat capacity is obtained; it contains two characteristic temperatures related to the macro- and the microstructural vibrational contributions. The calculations are in good agreement with the experimental data.