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news_042211 - ~ ω hc n i-n f 3 Bohr model of hydrogen atom...

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Stuff for Friday, April 22, 2011 Stop at 4pm for quiz #4 on Q7 and Q8. Midterm: Any 2 hours from 6:30pm to 10:00pm on Tue., May 3. Spectral lines from transitions: E photon = E i - E f = hc photon 1 Quanton in a box: V ( x ) = 0 for 0 x L and infinite outside. E n = h 2 n 2 8 mL 2 = ( p n c ) 2 2 mc 2 , p n c = hc λ n = hc ( 2 L / n ) , λ photon = 8 mc 2 L 2 hc ( n 2 i - n 2 f ) 2 Harmonic oscillator: V ( x ) = 1 2 k s x 2 = 1 2 m ω 2 x 2 ( ω = p k s / m ) E n = h ω 2 π ( n + 1 2 ) = ~ ω ( n + 1 2 ) , n = 0 , 1 , 2 ,... , λ photon = 1
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Unformatted text preview: ~ ω hc n i-n f 3 Bohr model of hydrogen atom: circular orbit of radius r E n =-ke 2 2 a n 2 =-13 . 6 ev n 2 , r n = n 2 a = n 2 ( ~ c ) 2 mc 2 ke 2 , λ photon = 2 ( hc ) a ke 2 n 2 i n 2 f n 2 i-n 2 f How do we fill energy levels for larger atoms? (Pauli!)...
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