[A remark concerning the symmetry groups of a molecule]
(1971) Societe Scientifique de Bruxelles. Annales. Sciences Mathematiques, Astronomiques et Physiques — Vol. 85, n° 3, p. 281-283 (1971)
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- Abstract
- The symmetry of a nonrelativistic system is indistinguishable, whether geometric, or a symmetry of permutations of subsystems (electrons, atoms etc.). In the treatment of the vibrations of a molecule, it is convenient to define the `overlap group', consisting of all the rotations leaving invariant the equilibrium positions of all the atoms, to the nearest permutation. The author aims to clarify the connection between the rotations and the permutations, in answering the question: when can the overlap group be identified with a subgroup of the group of permutations?.
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Pietenpol, T. L. (1971). [A remark concerning the symmetry groups of a molecule]. Societe Scientifique de Bruxelles. Annales. Sciences Mathematiques, Astronomiques et Physiques, 85(3), 281-283. https://hdl.handle.net/2078.5/149355 (Original work published 1971)