Applications of the Angular Overlap Method

2 The notation we have chosen to use here is that of Kettle (17f). 

Overlap Integrals op Central Atom d Orbitals as a Function of the Ligand Position in Polar Coordinates (fl, j ) with a Ligand c Orbital -1  

We are thus in a position to be able to write the interaction energy of a pair of orbitals as a simple expression e = kf(6, 4 ), where k is a constant, and f(fl, (j ) a simple geometric function readily obtained from 

3 An interesting forerunner of the angular overlap model is given by McClure (19). 

4 The integrals involving s, p, and f orbitals are available in Smith and Clack (20). 

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The application of the angular overlap method to MXg chromophores of trigonal bipyramidal and square p3u-amidal stereochemistry leads to the patterns of Fig. 2 for the energies of the antibonding "d molecular orbitals (dc). The crystal field model leads to a similar pattern. 

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