L11S07_ManyEAtomsIonizSpin 02-09-07-1

L11S07_ManyEAtomsIonizSpin 02-09-07-1 - CHEM 1A...

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Unformatted text preview: CHEM 1A L11: "ManyEAtomsIonizSpin" Astrochemistry 121 Reported Interstellar and Circumstellar Molecules How sweet it is 2004 M.Kubinec, A. Pines L11-3 Anti-Hydrogen Anti- Wave Functions Orbitals, Quantum Numbers, Energies Orbitals, z er (r,, ) ||2 : Prob( e-) (r, Prob( (r, 2 y n: 1, 2, 3 . . . l: 0,1, 2, n-1 nml: -l, -(l-1),..,0,..,(l-1), l 1),..,0,..,(l x -Z2 R? En = n2 R? = Rydberg's Constant = 2.18 x 10-18 J A.Pines,M.Kubinec UCB L9-3 Energy Levels ? 3 2 Ionized -R? -R? 4 9 l=0 ml=-1 l=1 0 1 l=2 -2 -1 0 1 2 3s 2s 3p 3p 3p 2p 2p 2p 3d (5 orbitals) 1 Ground -R? 1s Notation: nlml L9-9 A.Pines,M.Kubinec UCB 2004 M.Kubinec, A. Pines L11-4 Ionization Energies, Shielding Summary Many-e-system One-e Many- - system One- 3 2 1 H (kJ/mol) 328 1312 2372 5248 IE He+ He (1s12) 1) He (1s 2p 6 3 6 4 4 2 3 3 2 2 1 1 IE= IE= Z2 eff n2 R 2004 M.Kubinec 1 1 L10-9 Multi-Electron Atoms, Ions Multi=0 =1 =2 Shielding 4s 3s 2s 1s 4p 3p 2p 3d - + 2p 2s E(3d) > E(4s) 3d) 4s) E(2p) > E(2s) 2p) 2s) 1s L10-10 2004 M.Kubinec, A. Pines 2004 M.Kubinec L11-5 2004 M. Kubinec, A.Pines 1 CHEM 1A L11: "ManyEAtomsIonizSpin" Energy Levels n 3 2 Ionized E 0 -R -R 4 9 =0 3s 2s =1 1 =2 -2 -1 0 1 2 m=-1 0 3p 3p 3p 2p 2p 2p 3d (5 orbitals) 1 Ground -R 1s Notation: nm L11-6 2004 M.Kubinec, A. Pines Multi-Electron Atoms, Ions =0 =1 =2 Shielding 4s 3s 2s 1s 2004 M.Kubinec, A. Pines 4p 3p 2p 3d - + 2p 2s E(3d) > E(4s) 3d) 4s) E(2p) > E(2s) 2p) 2s) 1s L11-7 Ionization Energies, Shielding 3 2 H (kJ/mol) 328 1312 IE He+ He (1s12) 1) He (1s 2p 6 3 6 4 4 2 3 3 2 2 Many-e-system One-e Many- - system One- 1 2372 5248 IE= IE= Z2 eff n2 R 1 1 2004 M.Kubinec, A. Pines 1 1 L11-8 2004 M. Kubinec, A.Pines 2 CHEM 1A L11: "ManyEAtomsIonizSpin" ChemQuiz 11.1 Which atom or ion has the lowest ionization energy ? + 3 2 1 1) H (2p) 2004 M.Kubinec, A. Pines 2) He (3p) + 3) Li (4p) L11-9 2+ ChemQuiz 11.2 Which atom has the lowest Ionization Energy? Energy? + 3 2 1 1) H (2p) 2004 M.Kubinec, A. Pines 2) He (1s3p) 3) Li (1s24p) L11-11 Electron Spin, Magnetism Spin Little Magnet N Quantized Spin Q.M. Classical Q.M. ms=-1/2 "Spin Down" Down" ms=1/2 "Spin Up" Up" S Electron 4 Q.N.s 2004 M.Kubinec, A. Pines n, , m , ms L11-13 2004 M. Kubinec, A.Pines 3 CHEM 1A L11: "ManyEAtomsIonizSpin" No two electrons can have have the same set of Quantum Numbers Pauli Exclusion Principle n, , m , ms Degenerate Orbitals 2004 M.Kubinec, A. Pines Hund's Rule: Fermions vs. Bosons Parallel Spins Lowest Energy L11-14 Lecture Complete 2004 M.Kubinec, A. Pines L11-15 2004 M. Kubinec, A.Pines 4 ...
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This note was uploaded on 08/19/2009 for the course CHEM 1A taught by Professor Nitsche during the Spring '08 term at Berkeley.

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