A room temperature gas of non interacting HF molecules are confined to a bottle with dimensions of approximately 10 cm by 1 cm by 1cm. Compute the N2/N1 Boltzmann weights for the vibrational, rotational, and translational motions of the gas. Assume a particle in a 1D box for translational (L=1 cm). Assume a particle-in-a-ring for rotations (also assume the fluorine atom is at the center of mass and that the bond length is 1 Angstrom). Assume a harmonic oscillator model for vibrations (the vibrational frequency of HF is approximately 3900 cm-1).

A room temperature gas of non interacting HF molecules are confined to a bottle with dimensions of approximately 10 cm by 1 cm by 1cm. Compute the N2/N1 Boltzmann weights for the vibrational, rotational, and translational motions of the gas. Assume a particle in a 1D box for translational (L=1 cm). Assume a particle-in-a-ring for rotations (also assume the fluorine atom is at the center of mass and that the bond length is 1 Angstrom). Assume a harmonic oscillator model for vibrations (the vibrational frequency of HF is approximately 3900 cm-1).