The Rotation-Vibration Energies of Tetrahedrally Symmetric Pentatomic Molecules. I

Abstract
A complete theory for the rotation-vibration energies of tetrahedrally pentatomic molecules has been derived to second degree of approximation for certain vibration states. In this discussion the elements of the matrix H are given for the states V1ν1, ν2, V1ν1+ν3, V1ν1+ν4, ν2+ν3 and ν2+ν4. The selection rules governing what transitions may take place have been determined with relations for the intensities.