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Unformatted text preview: re orthogonal. equations n = a n n and m = a m m by m and integrate over all space. Then, take the co d multiply it by n , and integrate over all space. Subt r and label this equation as (4 1). u u g G U itian operator, discuss the two possibilities n=m and u prove that the eigenvalues are real numbers and t onal. of conjugated pi e wavefunctions tions. butadiene in terms st) the energy level erators are real complex conjugate tract the two d nm. In your that the two 3. The following are the three normalized sp 2 hybrid orbitals. Show that 1 is normalized and that 1 is orthogonal to 2 . Which orbital is missing from these equations and why is it missing? g G 1 u3 2 + 2 3 2 g 1 u3 2 1 u6 2 + 1 u2 2 g 1 u3 2 1 u6 2 1 u2 2...
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 Fall '09

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