The Butadiene Determinant

The wave function iji = CxXi + C2X2 t C3X3 t C4X4 for butadiene has been shown to give the determinant 

If we were to take advantage c the symmetry of butadiene and write 

This approach gives two much simpler determinants than the 

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The LCAO calculations with heteroatoms proceed by the usual method. For acrolein, CH2=CH-CH=0, we would have the butadiene determinant with appropriate values for oiq and... 

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