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exam2 - Griffin and Van Voorhis 2 nd Hour Exam USEFUL...

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Unformatted text preview: Griffin and Van Voorhis 2 nd Hour Exam USEFUL CONSTANTS and FORMULAS 1mW = 10-3 W = 10-3 J s-1 1nm = 10-9 m 1eV = 1.602 x 10-19 J h = 6.63 x 10-34 J s = = 1.05 x 10-34 J s c = 3.0 x 10 8 m s-1 − 12 2 − 1 − 3 hc = 2.0 x 10-25 J m ε 0 = 8854 . × 10 Cs kg m 1 AMU=1.66 x 10-27 kg m e = 9.11 x 10-31 kg e = 1.602 x 10-19 C λν = c E = h ν λ = h / p l n = mrv = n = r n = n 2 a 0 a = 5.29 x 10-11 m Particle in a box: E n = n 2 h 2 2 = n 2 h 2 π 2 2 E = n 2 h 2 2 = n 2 h 2 π 2 2 ψ n ( 0 ≤ x ≤ a ) = ⎜ ⎛ 2 ⎟ ⎞ sin ⎛ n π x ⎟ ⎞ 8 ma 2 ma n 8 ma 2 ma ⎝ a ⎠ ⎝ ⎜ a ⎠ Harmonic Oscillator: E n = ⎛ ⎝ ⎜ n + 1 2 ⎞ ⎠ ⎟ h ν = ⎛ ⎝ ⎜ n + 1 2 ⎞ ⎠ ⎟ h ω α = h = m h ω , ν ¡ = 2 π 1 c ⎛ ⎝ ⎜ μ k ⎞ ⎠ ⎟ 1/2 , V = 1 2 m ω 2 x 2 ∞ − α x 2 π ∞ 2 − α x 2 π 1 ∞ 2 n − α x 2 1 ⋅ 3 ⋅ 5 ⋅⋅⋅⋅ (2 n − 1) π ∫ −∞ e dx = α ∫ x e dx = α 2 α ∫ −∞ x e dx = 2 2 n + 1 a n α −∞ ψ 0 x = ⎛ α ⎟ ⎞...
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exam2 - Griffin and Van Voorhis 2 nd Hour Exam USEFUL...

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