Lecture36.pptx

Lecture36pptx

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Unformatted text preview: 4/15/11 PHYS 360 Quantum Mechanics Fri Apr 15, 2011 Lecture 36: Is the enBre periodic table just an example of the Pauli Exclusion Principle? Can we predict the ground state of all the atoms in the Periodic Table? So far we have: Hydrogen: Helium: ψ 100 (r,θ , φ ) χ ( s ) = 1 π a3 e− r / a 1 2 , 1 = ψ 100 × ↑ 2 () HW #10 due Monday, Apr 18: Ch 5, #5, 7, 9, 13, 14 ⎫ ⎧1 ψ 0 r1 , r2 χ ( s1 , s2 ) = ψ 0 r1 , r2 00 = ψ 100 r1 ψ 100 r2 ⎨ ↑↓ − ↓↑ ⎬ ⎪ ⎪ ⎩2 ⎭ ( ) ( ) () () ( ) Note: Both helium electrons are in the nlm=100 state because they have opposite spins (no violaBon of Pauli Exclusion). 1 2 Hydrogen: Helium: ψ 100 (r,θ , φ ) χ ( s ) = 1 π a3 e− r / a 1 2 , 1 = ψ 100 × ↑ 2 () However, we haven’t taken into account the spins. We might consider: ⎫ ⎧1 ψ 0 r1 , r2 χ ( s1 , s2 ) = ψ 0 r1 , r2 00 = ψ 100 r1 ψ 100 r2 ⎨ ↑↓ − ↓↑ ⎬ ⎪ ⎪ ⎩2 ⎭ ( ) ( ) () () ( ) Hydrogen: Helium: (1s...
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