L07S08 QuantumHAtom - CHEM 1A L7: "Quantum...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: CHEM 1A L7: "Quantum H-Atom" Weekly Review Sessions Thursday 5-7 p.m. 5105 Stanley Hall Amber Wise Drop-in Office Hours Mondays to Fridays 10-5 10See schedule posted at the door Location: 12B Latimer Hall 2004 M.Kubinec L6-1 Summary Particles and Waves Momentum Matter Particle Photon (yellow) (yellow) e- (v ~ 105 m sec-1) Na (80K, v~300 m sec-1) Baseball (170g, v~40 m sec-1) L6-4 A.Pines,M.Kubinec,UCB DeBroglie (nm) ~ 600 ~6 ~ 0.06 ~ 6x10-26 L8-3 : 2 ~ Probability v 2 e- p=mv p=mv Particle h p= h=6.62 x 10-34 Js Wave Duality h = p 2002 A.Pines,M.Kubinec, UC Discrete, Quantized States Standing Waves (x) E n 3 2 1 Nodes 2 1 0 L6-11 Absorption and Emission Spectra E=h E=h Excited States + + + - Ground State 2002 A.Pines,M.Kubinec, UC + 2004 M.Kubinec A.Pines,M.Kubinec,UCB L6-3 L8-7 Discrete, Quantized States Standing Waves (x) E n 3 2 1 Nodes 2 1 0 L6-4 Excited States + + + - Ground State 2004 M.Kubinec + 2004 M. Kubinec 1 CHEM 1A L7: "Quantum H-Atom" An electron as a standing wave around the nucleus 2004 M.Kubinec L6-5 Absorption and Emission Spectra Electronic Transtions v E = h 2004 M.Kubinec L6-6 ChemQuiz 6.3 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 L6-7 A) A 2004 M.Kubinec B) B 2004 M. Kubinec 2 CHEM 1A L7: "Quantum H-Atom" ChemQuiz 6.4 To which energy-level scheme does the emission spectrum correspond? A) 2004 M.Kubinec B) C) L6-9 Absorption and Emission Spectra Review E=h E=h A.Pines,M.Kubinec,UCB L8-7 Wave Functions Energy: - h2 d2 (x) = ET (x) 82m dx2 n h2 n x A sin L 82m L = ET (x) 2 (x) 2(x) En 16 n=4 n=3 9 En = 2004 M.Kubinec h2n2 8mL2 n=2 n=1 4 2004 M.Kubinec L08-11 1 L19-9 (x) = A sin 2 x known momentum () ( h de Broglie relation: mv = p = Uncertainty Principle 2(x) = intensity or probability x uncertainty in position (x) = Ai sin 2 x i i uncertainty in momentum 2004 M.Kubinec x p h/4 h/4 L08-12 known position x 2004 M. Kubinec 3 CHEM 1A L7: "Quantum H-Atom" Quantum Mechanics Schrdinger equation: Schr - h2 d2 (x) + V(x) (x) = ET (x) (x) V(x) 82m dx2 Kinetic Potential Total H (x) = ET (x) 2004 M.Kubinec L08-13 Wave Functions Energy: - h2 d2 (x) = ET (x) 82m dx2 n n 2 A sin L x 2m L 8 h2 = ET (x) n=4 (x) 2(x) En 16 n=3 9 En = h2n2 8mL2 n=2 n=1 4 1 2004 M.Kubinec L08-14 Orbital Energies n : Principal Q. N. -Z 2 n2 n 3 n: 1, 2, 3 . . . Ionized E 0 -R -R 4 9 En = R R 2 = 2.18 x 10-18 J = 3.29 x1015 Hz N0R = 1312 kJmol-1 2004 M.Kubinec 1 Ground -R L08-15 2004 M. Kubinec 4 CHEM 1A L7: "Quantum H-Atom" ChemQuiz 7.1 H To which ion does the E-Level diagram `X' correspond ? 2 1 4 3 2 X -R 4 -R A) H + B) He + C) Li 2+ 1 2004 M.Kubinec L08-16 ChemQuiz 7.2 Which transition in + He has the same wavelength as n = 2 1 in H? 3 2 Ionized -R -R 4 9 A) 2 1 2004 M.Kubinec B) 4 1 C) 4 2 1 Ground -R L08-18 Energy of Transitions - Z2 En= n2 R R = 2.18 x 10-18J NAR = 1312 kJmol-1 E= -Z2R 1 nf2 1 ni2 ni E = h nf L08-20 2004 M.Kubinec 2004 M. Kubinec 5 CHEM 1A L7: "Quantum H-Atom" Lecture Complete 2004 M.Kubinec L08-21 2004 M. Kubinec 6 ...
View Full Document

Ask a homework question - tutors are online