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Hückel butadiene energies
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00:08 Sketch of structure • 00:52 Hückel determinant • 01:33 Divide by β; let x = (α - E) / β • 02:26 Expand 4 × 4 determinant by minors to 3 × 3 • 03:58 Expand 3 × 3 determinants by minors to 2 × 2 • 06:17 Expand 2 × 2 determinants by definition • 08:09 Simplify polynomial • 08:50 Use substitution y = x² • 09:24 Solve polynomial in y by quadratic formula • 10:45 Back substitute to find x's • 11:18 Back substitute for x to find energies (E) • Derivation of the energies for a pi conjugated system in 1,3-butadiene, using the simple Hückel method. You can see the derivation for cyclobutadiene here: • Hückel cyclobutadiene energies • Don't forget to like, comment, share, and subscribe!
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