Chapter5_10 - closer together we expect a higher...

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PHY4604 R. D. Field Department of Physics Chapter5_10.doc University of Florida Helium (3) Orthohelium: The antisymmetric space wave functions must go with the “triplet” spin state as follows (Ortho) nlm = ( ψ nlm ψ 100 ) antisymmetric × χ T . The ground state of orthohelium is (Ortho) 200 with an energy of about energy -59.4 eV . This is a 3 S 1 state with electron orbitals (1s) 1 (2s) 1 . The 1 st excited state is (Ortho) 21m with an energy of about energy -58.3 eV . This is a 3 P 2 , 3 P 1 , or 3 P 0 state (a degeneracy of 5 + 3 + 1 = 9) with electron orbitals (1s) 1 (2p) 1 . Because the symmetric space wave functions brings the electrons
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Unformatted text preview: closer together, we expect a higher electron-electron interaction energy in parahelium, and indeed we see that the parahelium states are somewhat higher than the corresponding orthohelium states (i.e. (Para) 200 > (Ortho) 200 and (Para) 21m > (Ortho) 21m etc.) Periodic Table: We now know the ground state configuration of the first two elements in the periodic table. Z Element Ground State Configuration 1 1 H 1 (1s) 1 2 S 1/2 2 4 He 2 (1s) 2 1 S Spectrum of Helium (actual spectrum) ← 54.4 eV ←-59.4 eV ←-79 eV ←-58.2 eV The labeling suppresses the (1s)!...
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