This Letter demonstrates that the parity degeneracy of isolated vibration-rotation states of a rigid molecule can be removed by hyperfine interactions. Hyperfine structures of infrared transitions in PH3 are obtained by saturation spectroscopy around 10 fim. One of these is used to demonstrate unequivocally that degenerate states of opposite parity are separated by the proton hyperfine interactions. We show that alternative explanations involving the physical inversion of the molecule are completely inconsistent with the details of the spectra obtained. In addition to the splitting conclusion, which has very wide generality, new confidence limits are placed on the possible inversion splitting.PACS numbers: 33.20.Ea, 35.20.Jv, 35.20.Sd The degrees of freedom of most molecules in their ground electronic levels can be divided among translations, vibrations, rotations, large amplitude motions, and nuclear spin. Among large amplitude motions inversion plays a peculiar role since parity, the associated quantum number, is always good because of the invariance property of space under inversion in the absence of weak interactions. When a molecule inverts freely it is not surprising to find that the degeneracy of levels of opposite parity is lifted. The first important result of this paper is to show experimentally, via the example of phosphine, that the degeneracy will be lifted even for a rigid molecule in which there is no inversion. We show, further, that this result is intimately connected to the Pauli principle and that there can be no essential degeneracy with parity.Following earlier work on hyperfine effects in ammonia, we will classify the vibration-rotation and hyperfine states of a rigid molecule such as phosphine (PH3) under the geometrical point group C-$ v [1,2] and use the Landau [3] and Berger [4] notations. The rovibrational states are characterized by quantum numbers / and k for total orbital angular momentum and its component along the symmetry axis, respectively, while A^l&l. v is the quantum number for vibrational excitation, and / is the quantum number for the corresponding component of angular momentum along the symmetry axis. Thus, for example, the degenerate V4 state excited to the level 1*4-1 has / = ± 1. Finally, the parity, r =( ± ), completes the description of the rovibrational states. For symmetric top molecules, it is convenient to introduce the symmetric (s) and antisymmetric (a) character of a state upon reflection in a plane perpendicular to the symmetry axis. The correspondence between r and v is r =(+) if v ~(s) and K even or if v=(a) and K odd; otherwise, r^C -). States having k~l -± 3n form a representation A\+Ai except when k ~/=0, the states then being either A\ or A2 depending upon J and r. States having k -I = ± (3n + 1) or ± On 4-2) are of symmetry E. /p, the nuclear spin of 3l P, is j and the corresponding symmetry must necessarily be A\ as the atom is certainly on the symmetry axis. Then, the total proton spin, l\\, must be included. Proton spin states with I\\ = j and /H -...