Representation pseudoscalar

It is evident that methods analogous to the ones developed here could be applied to molecular properties which, instead of being pseudoscalar, belong to some other representation of the skeleton point group (vector, tensor, etc. properties). To treat such properties, one needs only to induce from a different representation of than the chiral one. 

Table 4 lists, for skeletons i—v, the -chirality functions obtained by the first procedure (%i) and the alternative version of the second procedure (xz) of Section IV, together with the representation of SA and of Young diagrams remain. The parameters A are scalar parameters, the x are pseudoscalar. Different parameters may be used for different representations. 

Note that we have chosen to use primed symbols to emphasize the shell-theoretical nature of these labels, as opposed to true spatial symmetry assignments. The corresponding tetragonal symmetries can easily be found from the standard D h j D4k subduction relations, keeping in mind that the results must be multiplied by the pseudoscalar Blg representation of D4h, One thus obtains ... 

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