Lecture 5 - Chem 4A Lecture 05: Matter Waves Chem QM...

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Unformatted text preview: Chem 4A Lecture 05: Matter Waves Chem QM Particle in Box 9/2/2008 Light Wave/Particle Duality Wave (length, frequency) Particle (Momentum) λ c E = hν = hc/λ hc/ E = mc2 = pc p p = h/ λ Wave h λ= p © 2008 A. Pines M. Kubinec Particle h=6.62 x 10-34 Js Duality p= h λ L5-1 Matter Particle/Wave Duality (de Broglie) Momentum Ψ: Ψ2 ~ Probability λ v Wave h=6.62 x 10-34 Js e- p=mv p=mv Particle p= h λ Duality h λ= p L5-2 © 2008 A. Pines M. Kubinec Diffraction and Interference Intensity A+B ~ Probability Distribution © 2008 A. Pines M. Kubinec L5-3 © 2008 M. Kubinec, A. Pines 1 Chem 4A Lecture 05: Matter Waves Chem QM Particle in Box 9/2/2008 De Broglie Wavelengths Particle Photon (yellow) (yellow) e- (v ~ 105 m sec-1) Na (80K, v~300 m sec-1) Baseball (170g, v~40 m sec-1) © 2008 A. Pines M. Kubinec de Broglie λ (nm) (nm) ~ 600 ~6 ~ 0.06 ~ 6x10-26 L5-4 ChemQuiz© 5.1 © 2008 A. Pines M. Kubinec L5-5 ChemQuiz© 5.2 © 2008 A. Pines M. Kubinec L5-6 © 2008 M. Kubinec, A. Pines 2 Chem 4A Lecture 05: Matter Waves Chem QM Particle in Box 9/2/2008 Particle in a Box -h2 d2 Ψ +V Ψ = E Ψ 2m dx2 nπx Ψn(x) = _ sin( L ) (x) 2 L L 22 En = n h 2 8mL Ψ(x) + + + + E n Nodes Excited States Ground State © 2008 A. Pines M. Kubinec 3 2 1 2 1 0 L5-7 - Absorption and Emission Spectra Atomic and Molecular Transtions v ∆E = hν © 2008 A. Pines M. Kubinec L5-8 ChemQuiz© 5.3 © 2008 A. Pines M. Kubinec L5-9 © 2008 M. Kubinec, A. Pines 3 Chem 4A Lecture 05: Matter Waves Chem QM Particle in Box 9/2/2008 ChemQuiz© 5.4 © 2008 A. Pines M. Kubinec L5-10 © 2008 M. Kubinec, A. Pines 4 ...
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This note was uploaded on 10/19/2009 for the course CHEM 4a taught by Professor Gordon during the Spring '06 term at University of California, Berkeley.

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