The -electron Zero Differential Overlap Models

The next step came in the 1950s, with more serious attempts to include formally the effect of electron repulsion between the valence electrons. First came the jT-electron models associated with the name of Pople, and with Pariser and Parr. You might like to read the synopses of their first papers. 

A Semi-Empirieal Theory of the Electronic Spectra and Electronic Structure of Complex Unsaturated Molecules R. Pariser and R. G. Parr 

A semi-empirical theory is outlined which is designed for the correlation and prediction of the wavelengths and intensities of the first main visible 

We often speak of the PPP (Pariser-Parr-Pople) model in honour of these three authors. Thinking of the pyridine example above, we still divide the 42 electrons into two groups, the 6 7r-electrons and the 36 o--electrons. The spirit of the PPP model is that the cr-electrons and the atomic nuclei provide a potential for the TT-electrons. Attention focuses on the 7r-electrons. 

You probably noted that the original papers were couched in terms of HF-LCAO theory. From Chapter 6, the defining equation for a Hamiltonian matrix element (in the usual doubly occupied molecular orbital, closed-shell case) is 

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