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# Energy Levels If n=2, E2 = $\frac{9 π^2 h^2}{8π^2 a^2m}$ , ψ2 = $\sqrt{\frac{2}{a}} \frac{3π}{a} x$ x → HOMO. If n=3, E3 = $\frac{16 π^2 h^2}{8π^2 a^2m}$ , ψ3 = $\sqrt{\frac{2}{a}} \frac{4π}{a} x$ If n=4, E4 = $\frac{25 π^2 h^2}{8π^2 a^2m}$ , ψ4 = $\sqrt{\frac{2}{a}} \frac{5π}{a} x$ → LUMO If...

# Energy Levels If n=2, E2 = $\frac{9 π^2 h^2}{8π^2 a^2m}$ , ψ2 = $\sqrt{\frac{2}{a}} \frac{3π}{a} x$ x → HOMO. If n=3, E3 = $\frac{16 π^2 h^2}{8π^2 a^2m}$ , ψ3 = $\sqrt{\frac{2}{a}} \frac{4π}{a} x$ If n=4, E4 = $\frac{25 π^2 h^2}{8π^2 a^2m}$ , ψ4 = $\sqrt{\frac{2}{a}} \frac{5π}{a} x$ → LUMO If n=5, E5 = $\frac{36 π^2 h^2}{8π^2 a^2m}$ , ψ5 = $\sqrt{\frac{2}{a}} \frac{6π}{a} x$ For n+1 = e, HOMO n = $\frac{n+1}{2}$ = 3 For LUMO, n = $\frac{n+1}{2}$ + 1 = $\frac{n+1+2}{2}$ = $\frac{n+3}{2}$ = $\frac{8}{2}$ = 4 4 a2 + 42 geographical presentation