Triphenylphosphine symmetry group

Example 8-4. Make a list of all the symmetry operations present in the triphenylphosphine ligand shown below, construct a multiplication table for the P(C H6)3 symmetry group, and determine the inverse of each operation. 

Solution. The structure of triphenylphosphine is shown above. The complete set of symmetry operations is , C3, and C3 There are no mirror planes of symmetry because of the propeller nature of the phenyl groups. The multiplication table is shown below. 

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