L09S10_ManyEAtomsIonizSpin+02-08-10

L09S10_ManyEAtomsIonizSpin+02-08-10 - CHEM 1A L09:

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Unformatted text preview: CHEM 1A L09: "ManyEAtomsIonizSpin" H -Atom, One -Electron Ions n=1 l = 0 (s) ml = 0 n=2 l = 0 (s) ml = 0 Radial Radial Node Node n=2 ml = -1, +1 l = 1 (p) ml = 0 z - 2px Angular Angular Node Node z 2py + z y x + 2pz z 1s + z 2s + - + y x - y y x y L9-5 x x n = 3 l = 0, 1, 2 0, © A.Pines,M.Kubinec UCB 3s, 3p, 3d Orbitals 3s, © A.Pines,M.Kubinec UCB © 2004 M.Kubinec L09-1 L9-6 Ionization Energies, Shielding Ionization Summary Many-e-system One-e- system H 3 2 1 (kJ/mol) 328 1312 2372 5248 IE He+ He (1s12) 1) He (1s He ((1s 2p He 1s 6 3 6 4 4 2 3 3 2 2 1 1 IE= Z2 eff n2 R © 2004 M.Kubinec 1 1 L10-9 Multi-Electron Atoms, Ions =0 =0 4s 3s 2s 1s © 2004 M.Kubinec =1 =1 4p 3p 2p =2 =2 3d Shielding - + 2p 2s E(3d) > E(4s) E(2p) > E(2s) 1s L10-10 © 2004 M.Kubinec L09-2 Energy of Transitions - Z2 En= n2 R R = 2.18 x 10-18J 2.18 NAR = 1312 kJmol-1 1312 E= -Z2R 1 nf2 1 ni2 ni E=h nf L09-3 © 2004 M.Kubinec © 2004 M. Kubinec, A.Pines 1 CHEM 1A L09: "ManyEAtomsIonizSpin" Astrochemistry 121 Reported Interstellar and Circumstellar Molecules How sweet it is © 2004 M.Kubinec L09-4 Energy Energy Levels n 3 2 Ionized E 0 -R -R 4 9 =0 =0 3s 2s =1 =1 1 =2 =2 -2 -1 0 1 2 m =-1 0 3p 3p 3p 2p 2p 2p 3d (5 orbitals) 1 Ground -R 1s 1s Notation: Notation: n, ,m L09-5 © 2004 M.Kubinec MultiMulti-Electron Atoms, Ions =0 =0 4s 3s 2s 1s © 2004 M.Kubinec =1 =1 4p 3p 3p 2p =2 =2 3d Shielding - + 2p 2s E(3d) > E(4s) 3d) 4s) E(2p) > E(2s) 2p) 2s) 1s L09-6 © 2004 M. Kubinec, A.Pines 2 CHEM 1A L09: "ManyEAtomsIonizSpin" Ionization Energies, Shielding H 3 2 1 2372 5248 (kJ/mol) 328 1312 IE He+ He (1s 2p He ((1s12) 1) He 1s He (1s 6 3 4 4 2 3 3 2 2 1 1 Many- - system Many-e-system OneOne-e IE= IE= Z2 eff n2 R © 2004 M.Kubinec 1 1 L09-7 ChemQuiz© 9.1 Which Which atom or ion or has has the lowest ionization energy ? + 3 2 1 A) H (2p) © 2004 M.Kubinec B) He+ (3p) C) Li2+ (4p) L09-8 ChemQuiz© 9.2 Which Which atom has the has lowest Ionization Ionization Energy? + 3 2 1 A) H (2p) © 2004 M.Kubinec B) He (1s3p) C) Li (1s24p) L09-10 © 2004 M. Kubinec, A.Pines 3 CHEM 1A L09: "ManyEAtomsIonizSpin" Electron Spin, Magnetism Spin Little Little Magnet Magnet N Quantized Spin Q.M. Classical Q.M. ms=-1/2 Spin Down  ms=1/2 Spin Up  Electron 4 Q.N.s © 2004 M.Kubinec n, n, , m , ms L09-12 Pauli Exclusion Principle No No two electrons can have have the same set of Quantum Quantum Numbers n, n, , m , ms Hund  Hund s Rule: Degenerate Degenerate Orbitals © 2004 M.Kubinec Fermions vs. Fermions vs. Bosons Parallel Spins Lowest Energy L09-13 Lecture Complete © 2004 M.Kubinec L09-14 © 2004 M. Kubinec, A.Pines 4 ...
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