A Worked Example Naphthalene

there are two Au MOs, two B2g MOs, three Blu MOs, and three B2g MOs. By constructing SALCs corresponding to these representations, the well-nigh hopeless problem of solving a 10 x 10 determinantal equation is reduced to the tractable task of solving two quadratic and two cubic equations. This has already been illustrated in Section 7.2. 

Projection operators may be used to obtain the SALCs. The procedure is straightforward, since only one-dimensional representations are involved. For example, 

The complete set of SALCs (which constitute the solution to Exercise 6.1) is as follows  

These determinants can be expanded into polynomial equations (with ener- 

The SALCs y/x through, 0 may then be combined into MOs. For the Au MOs, the simultaneous equations from which the secular equation originates are as follows  

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