RELATIONS BETWEEN INTERMEDIATE STATISTICS AND QUANTUM STATISTICS

We provide the relations among intermediate, Bose and Fermi statistics through a simplified quantum dot model. We show that the high-temperature (near-classical) behavior of the intermediate statistics is like the Bose statistics: We develop the virial expansion of the intermediate statistics, and find that the first n (maximum occupation number on a single state) expansion coefficients are the same as the corresponding Bose virial coefficients. We also show that under low-temperature (near-quantum) conditions, the n-intermediate statistics on a single state behaves more like the Fermi statistics on an n-degenerate state.

High-Resolution Infrared Spectroscopy of the v1+ v4Band of14NF3:Reductions of the Rovibrational Hamiltonian

The high-resolution Fourier transform infrared spectrum of nitrogen trifluoride NF3has been studied in the v1+ v4perpendicular band region around 1523 cm−1. All experimental data have been refined applying various reduction forms of the effective rovibrational Hamiltonian developed for an isolated degenerate state of a symmetric top molecule. The v1= v4= 1 excited state of the14NF3oblate molecule was treated with models taking into account ℓ- andk-type intravibrational resonances. Parameters up to sixth order have been accurately determined and the unitary equivalence of the derived parameter sets in different reductions was demonstrated.