Review of Fundamentals (4)

# Review of Fundamentals (4) - From H Y = E Y, many solutions...

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1 H Y = E Y , many solutions From Y (r, q,f ) = "wavefunction" or "orbital" E = energy of each orbital E 218x10 J 1 n n 18 2 =  . For H-atom, energy doesn’t depend on l, m For H-atom, Theory predicts that, for the H-atom , the s, p, and d subshells will have the same energy (i.e. they are degenerate ). shell shell shell 4 6 5 For the H-atom: 3 2 1 410 nm 434 nm 486 nm 656 nm (>656 nm) Infrared Ultraviolet (<400 nm) Absorptions Emissions 2 18 10 18 . 2 n J E n = E n n Initial state: n = 6 Final state: n = 2 -2.18 x 10 -18 J Visible

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2 2 18 10 18 . 2 n J E n = 2 2 18 10 18 . 2 n Z J E n = For H-atom, Z = 1 Z = 2 Z = 3 For any one-electron atom, 2 2 18 10 18 . 2 n Z J E n = Many-electron atoms - what's different? If, for an electron, n =2, l = 1, m = 0, m s = -1/2 Then, for any other electron, n =2, l = 1, m = 0, m s = -1/2 2. repulsions between the electrons within the atom Effective nuclear charge: Z
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## This note was uploaded on 12/15/2011 for the course CHM 139 taught by Professor Browning during the Spring '08 term at University of Toronto.

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Review of Fundamentals (4) - From H Y = E Y, many solutions...

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