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## 2n-e system: n²h² HOMO → * En = 8ma² -(n+1) LUMO → * En+1 = 8ma² (2n+1) h² = 2x 8ma² = 8ma² = 8 ma² (2²+1+2x-h²) 4 ELUMO-HOMO = (2n+2)h² 8 ma² * H₂C=CH-CH=CH₂, a = 578 pm ΔELUMO HOMO = 9.02 x 10⁻¹⁹J U = ΔE = 4.54 x 10⁴⁰ Frequency or wave number ≈ 461x10⁴ ## CH₂=CH₂ H₂ + H₂...

## 2n-e system: n²h² HOMO → * En = 8ma² -(n+1) LUMO → * En+1 = 8ma² (2n+1) h² = 2x 8ma² = 8ma² = 8 ma² (2²+1+2x-h²) 4 ELUMO-HOMO = (2n+2)h² 8 ma² * H₂C=CH-CH=CH₂, a = 578 pm ΔELUMO HOMO = 9.02 x 10⁻¹⁹J U = ΔE = 4.54 x 10⁴⁰ Frequency or wave number ≈ 461x10⁴ ## CH₂=CH₂ H₂ + H₂ = ↓ 4h² 8ma² ## Shortest version H wh Multiply by 2 * CH₂=CH-CH-CH₂ 42 (2) → 2x 8mL² ↓ 42 (2) → 2x 8mL² Date-09/09/24