I was attempting the problems in Chapter 1 of Orbital Interactions in Chemistry, and found a slight problem.
For Q1 (d), I obtained the same secular determinant as the question. However, my answer was slightly different as solving the determinant yielded completely different answers for me.
For the question, H12 (resonance integral) was given as -14.18 eV, S12 (overlap) was given as 0.596, and the energy of the 1s hydrogen atomic orbital was given as -13.60eV. However, plugging these numbers into the secular determinant yielded me orbital energies of -18.26eV, -13.6eV and 41.07eV (the answer given was -33.657eV, -13.6eV, 6.457eV).
Here's the question, for reference. Is my answer incorrect, and if so, how is it incorrect? Thanks!
Here's the question.
Any help would be appreciated.