Matches in DBpedia 2016-04 for { ?s ?p "In the context of molecular symmetry, a symmetry operation is a permutation of atoms such that the molecule or crystal is transformed into a state indistinguishable from the starting state.Two basic facts follow from this definition, which emphasize its usefulness. Physical properties must be invariant with respect to symmetry operations. Symmetry operations can be collected together in groups which are isomorphous to permutation groups.Wavefunctions need not be invariant, because the operation can multiply them by a phase or mix states within a degenerate representation, without affecting any physical property."@en }
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- Symmetry_operation abstract "In the context of molecular symmetry, a symmetry operation is a permutation of atoms such that the molecule or crystal is transformed into a state indistinguishable from the starting state.Two basic facts follow from this definition, which emphasize its usefulness. Physical properties must be invariant with respect to symmetry operations. Symmetry operations can be collected together in groups which are isomorphous to permutation groups.Wavefunctions need not be invariant, because the operation can multiply them by a phase or mix states within a degenerate representation, without affecting any physical property.".
- Q7661343 abstract "In the context of molecular symmetry, a symmetry operation is a permutation of atoms such that the molecule or crystal is transformed into a state indistinguishable from the starting state.Two basic facts follow from this definition, which emphasize its usefulness. Physical properties must be invariant with respect to symmetry operations. Symmetry operations can be collected together in groups which are isomorphous to permutation groups.Wavefunctions need not be invariant, because the operation can multiply them by a phase or mix states within a degenerate representation, without affecting any physical property.".