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Ex3-5210 - EXAM INFORMATION Order of Orbital Energies...

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EXAM INFORMATION Order of Orbital Energies: Homonuclear Diatomic Molecules Order of Orbital Energies: Heteronuclear Diatomics σ 1s < σ *1s < σ 2s < σ *2s < π 2p < σ 2p < π *2p < σ *2p Constants and Conversions: INTEGRALS h = 6.63x10 -34 J·s ħ = h/2 π = 1.05x10 -34 J·s k = 1.38x10 -23 J/K c = 3.00x10 8 m/s = 3.00x10 10 m/s N A = 6.02x10 23 mol -1 m e = 9.10x10 -31 kg m p = 1.67x10 -27 kg 1 Å = 10 -10 m 1 eV = 1.60x10 -19 J 1 amu = 1.66x10 -27 kg 1 J = 1 kg·m 2 /s 2 1 N = 1 kg·m/s 2 1 au (hartree) = 2625 kJ/mol 1 au (hartree) = 27.21 eV The roots of 0 2 = + + c bx ax are a ac b b x 2 4 2 - ± - = p p p p s s s s u g g u u g u g 2 2 2 2 2 2 1 1 * * * * σ π σ π σ σ σ σ < < < < < < < = = = = = = = - - - - - - + - 10 0 6 5 0 6 5 . 2 0 6 10 0 4 5 0 4 5 . 2 0 4 0 1 626 171 10 23 13 6 . 2 ! dx e x dx e x dx e x dx e x dx e x dx e x a n dx e x x x x x x x n ax n
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CHEM 5210 – Exam 3 April 21, 2006 Name______________________________ (06) 1. Sketch the σ g 2p orbital in a homonuclear diatomic molecule. Show signs of the lobes. (06) 2. One variational wavefunction for the helium atom which was discussed in class was: In this equation, Z’ and b are positive (Z’>0, b>0) Variational parameters.
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