| OCR Text |
Show 35 - We wish to - begin by considering the energy of such gases in the range where their rotational levels can be regarded fully as excited. The energy levels of of two dissimilar simple a diatomic molecule without particles, which spin, are by an attractive f9rce obeying Hooke's held together consisting regarded law as given are by the approximate expression (J+1) h2 J E = J,v (v + + 8,?r ) h..p (IV- 37) where the rotational and vibrational quantum numbers J and ssume the values J The terms I vibration we = 0, 1, 2, 3, • v • = 0, 1, 2, 3, . . (rv- 38) . frequency of the molecule when in its equilibrium multiplicity or quantum weight of the vrious For the have gJv Hence, f and are the moment of inertia and the classical configuration. $tates can v it is possible to = (rv-39) (2J + 1) represent the internal tomic molecule with sufficient approximation E Jve The first term corresponding represents the on J = (J + 1) h2 + energy of a dia- by (rv-40) E ve ai r the right-hand side gives the rotational energy to the quantum number J, and the energy associated with the and electronic excitation. last term E state of ve vibrational Botb of these terms will go to zero for |
