L05S10_MatterWaves+Nitsche+01-29-10

L05S10_MatterWaves+Nitsche+01-29-10 - Chem Chem 1A...

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Unformatted text preview: Chem Chem 1A L5:"Matter Waves" Electromagnetic Spectrum 400 Summary 500 600 Visible x-rays UV IR MW Light Intensity The Particle Nature of Light The 700 nm γ-rays Radio, NMR, MRI 10-16 10-12 10-8 © A.Pines,M.Kubinec,UCB 10-4 100 104 108 m L7-4 ©2002 A.Pines,M.Kubinec, UC Ephoton = h L8-6 Photoelectric Effect The Particle Nature of Light The Light-Wave / Particle LightDuality Wave (length) I II eΦ Ekin Particle (Momentum) c Wave h = p Duality p=mc Particle p= h Ephoton = h Ekin= h - Φ = h - ho L7-2 A.Pines,M.Kubinec,UCB ©©2010 A.Pines,M.Kubinec, UCB © A.Pines,M.Kubinec,UCB L5-1 L7-6 Diffraction and Interference Intensity A+B Probability Distribution ~ ~ L5-2 © 2010 A.Pines,M.Kubinec, UCB Matter Particles and Waves Momentum Ψ: Ψ2 e- p=mv Particle p= h h=6.62 x ~ Probability v Wave Duality 10-34 Js h = p L5-3 © 2010 A.Pines,M.Kubinec, UCB © A.Pines,M.Kubinec,UCB 1 Chem Chem 1A L5:"Matter Waves" Summary Particles and Waves Momentum Matter Particle Photon (yellow) (yellow) e(v ~ 105 m sec-1) DeBroglie (nm) ~ 600 ~6 ~ 0.06 ~ 6x10-26 L8-3 Ψ: Ψ 2 ~ Probability v 2 e- p=mv p=mv Particle h p= h=6.62 x 10-34 Js Wave Duality h = p L6-4 Na (80K, v~300 m sec-1) Baseball (170g, v~40 m sec-1) © A.Pines,M.Kubinec,UCB © 2002 A.Pines,M.Kubinec, UC Discrete, Quantized States Standing Waves Ψ(x) E n 3 2 1 Nodes 2 1 0 L6-11 Absorption and Emission Spectra ΔE=h Excited States + + + - Ground State + © 2010 A.Pines,M.Kubinec, UCB ©2002 A.Pines,M.Kubinec, UC © A.Pines,M.Kubinec,UCB L5-4 L8-7 De Broglie Wavelengths Particle Photon (yellow) (yellow) e- (v ~ 105 m sec-1) 10 Na (80K, v~300 m sec-1) Baseball (170g, v~40 m sec-1) © 2010 A.Pines,M.Kubinec, UCB de Broglie (nm) ~ 600 ~6 ~ 0.06 ~ 6x10-26 L5-5 Electron Microscopy © 2010 A.Pines,M.Kubinec, UCB L5-6 © A.Pines,M.Kubinec,UCB 2 Chem Chem 1A L5:"Matter Waves" ChemQuiz© 5.1 About how many photons are needed needed to ~stop ~stop the Na atom? A) ~1 ~1 © 2010 A.Pines,M.Kubinec, UCB 23Na h ~ 600 nm 80 K B) ~102 ~10 C) ~104 ~10 L5-7 ChemQuiz© 5.2 Electrons with ~ 4 nm are heated to x 4 their kinetic kinetic energy. What is the the new (nm)? eEkin=½mv2 Ekin=p2/2m A) ~ 1 © 2010 A.Pines,M.Kubinec, UCB B) ~ 2 C) ~ 8 L5-9 Discrete, Quantized States Standing Waves Ψ(x) E n 3 2 1 Nodes 2 1 0 L5-11 Excited States States + + + - Ground State © 2010 A.Pines,M.Kubinec, UCB + © A.Pines,M.Kubinec,UCB 3 Chem Chem 1A L5:"Matter Waves" An electron as a standing wave around the nucleus © 2010 A.Pines,M.Kubinec, UCB L5-12 Absorption and Emission Spectra Electronic Transtions v ΔE = hν © 2010 A.Pines,M.Kubinec, UCB L5-13 ChemQuiz© 5.3 Shown is an energy– energy– level scheme and the emission spectrum. Which line arises from 3 1? 3 2 1 A B C E C) C L5-14 A) A © 2010 A.Pines,M.Kubinec, UCB B) B © A.Pines,M.Kubinec,UCB 4 Chem Chem 1A L5:"Matter Waves" ChemQuiz© 5.4 To which energy-level energyscheme does the emission spectrum correspond? A) © 2010 A.Pines,M.Kubinec, UCB B) C) L5-16 Lecture Complete © 2010 A.Pines,M.Kubinec, UCB L5-18 © A.Pines,M.Kubinec,UCB 5 ...
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