Pseudo-scalar representation

Theorem 16 The alternating sum of induced representations of the vertex nodes, edge arrows, and face rotations, is equal to the sum of the totally-symmetric representation, To, and the pseudo-scalar representation. Pc. The latter representation is symmetric under proper symmetry elements and antisymmetric under improper symmetry elements. 

In terms of irreducible representations, the symmetry of an L" set is converted to that of the L" set by multiplication by the odd-parity pseudo-scalar representation TJ [37]. 

The symmetry group of a linear molecule of different atoms is CKV. It is well-known that its irreducible representations are all two-dimensional except the two unidimensional ones that contain scalars and pseudo-scalars. The basis functions for each two-dimensional representations Ek are 4> k = e lk[Pg.51]

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