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Equivalent rotations associated with the permutation inversion group revisited: symmetry projection of the rovibrational functions of methane
In this work the analysis of the equivalent rotations from the permutation inversion group formalism is revisited. We emphasize that explicit knowledge of changes in the Euler angles are not required in order to determine the transformation that a given symmetry operation causes to the rotational functions when dealing with the permutation inversion group formalism. Indeed, matrix elements of the equivalent rotations are provided by a single Wigner's D (j) (R) function. Taking advantage ofdoi:10.1080/00268976.2011.554328 fatcat:zifumpbotjh2raio3s53fnrgqe