Early Quantum Theory - Physical Chemistry - Lecture Notes, Study notes of Physical Chemistry

Download Early Quantum Theory - Physical Chemistry - Lecture Notes and more Study notes Physical Chemistry in PDF only on Docsity! Early Quantum Theory • Photoelectric effect • Blackbody radiation • Hydrogen atom line spectrum • Bohr atomic theory Equations and constants: λν=c ΔΕ=hν KE=hν−φ λ=h/mv =.5mv2 Model Problems • Particle in a Box 2 2 2 1 1 1 2 2 2 2 2 2 2 1/ 2 222 2 2 2 2 2 2 2 ( , , ) 2 8 sin sin sin 8 8 sin sin sin y xz yx z z y x y xz z y x U x y z E m z y x n y n xn z abc c b a nnh nE m a b c n y n xn zP abc c b a φ φ π ππφ π ππ ⎡ ⎤⎛ ⎞− ∂ ∂ ∂ + + + =⎢ ⎥⎜ ⎟∂ ∂ ∂⎝ ⎠⎣ ⎦ ⎛ ⎞ ⎛ ⎞⎛ ⎞ ⎛ ⎞= ⎜ ⎟⎜ ⎟ ⎜ ⎟ ⎜ ⎟ ⎝ ⎠ ⎝ ⎠ ⎝ ⎠⎝ ⎠ ⎛ ⎞ = + +⎜ ⎟⎜ ⎟ ⎝ ⎠ ⎛ ⎞ ⎛ ⎞⎛ ⎞= ⎜ ⎟⎜ ⎟ ⎜ ⎝ ⎠ ⎝ ⎠⎝ ⎠ ∫ ∫ ∫ h dxdydz⎟ • Harmonic Oscillator 4/12 2 2 22 2 1 2 ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ =Ψ=Ψ⎟ ⎠ ⎞ ⎜ ⎝ ⎛+ Ψ − μ α μ k Ekx dx d hh 22 2/ 4/11 !2 1)( α απα x nnn exH n x −⋅⎟ ⎠ ⎞ ⎜ ⎝ ⎛⋅⎟ ⎠ ⎞ ⎜ ⎝ ⎛=Ψ π ω μπ νν 22 1 2 1 ==⎟ ⎠ ⎞ ⎜ ⎝ ⎛ += khnEn yyyyHyyH yyyHyyH yyyHyH 12016032)(24)( 124816)(2)( 128)(1)( 35 5 2 2 24 41 3 30 +−=−= +−== −== Docsity.com