Complexes Containing a -Donor Ligands

The irreducible representations for the p- and d-orbitals for a central metal atom in some common transition metal complex geometries were discussed in Section 5.8. We are now 

For the central metal atom we can read the irreducible representations for the s-, p- and d-orbitals directly from the functional forms quoted in the right-hand columns of the 0 character table  

Rotational subgroup symbols are always linked to the longer list of irreducible representations in the parent group. So, in this case, reading from the Oh character table we find 

The g and u labels can be understood from the effect of the inversion operation i on the AOs d-orbitals are gerade and p-orbitals ungerade. 

For the ligand orbitals, we can deduce the phase pattern of the SALCs for each of the irreducible representations identified in Equation (7.68) through thinking about the bond- 

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