Lect23 - 11/23/11 Atomic Physics Chapter 29 (2 of 2)...

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11/23/11 1 Atomic Physics Structure of the Atom Atomic Spectra Bohr’s model of the atom Wave mechanics and the hydrogen atom Multielectron atoms Elements in the Periodic table Applications Quantum mechanics and Newton’s Mechanics Physics 104, Fall 2011 1 Physics 104 Lecture 22 Nov. 23, 2011 Chapter 29 (2 of 2) 11/23/11 Modern Quantum Mechanics Modern quantum mechanics depends on the ideas of wave functions and probability densities instead of mechanical ideas of position and motion To solve a problem in quantum mechanics, you use Schrödinger’s equations – The solution gives the wave function, including its dependence on position and time – Other wavefunctions are possible than the ones related to energy, depicted in the previous slide. Four quantum numbers are required for a full description of the electron in an atom – Bohr’s model used only one Physics 104, Fall 2011 2 11/23/11
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11/23/11 2 Quantization November 11 Physics 104, Fall 2011 3 Bohr’s assumption justified, however, there is more to the story of quantization - Schrodinger equation - its solution is too involved - results are presented. Energy is quantized (Bohr model): E n = Z 2 n 2 2 π 2 q e 4 m e k 2 h 2 Angular Momentum is quantized (Bohr's assumption): L n = n h 2 De Broglie Wave Interference n λ n = 2 r n = h p = h m e v , 2 r n = n h m e v n m e v n r n = L n = n h 2 Quantum Rules November 11 Physics 104, Fall 2011 4 Solution to Schrodinger Equation for an atom yield rules. Then, there is one more: the spin (s)! Bound state energy spectrum is quantized, E n = E 0 n 2 , n = 1,2,3, Angular momentum is quantized (depends on n), L = l ( l + 1) h 2 , l = 0,1,2, , n 1 ( ) The direction of angular momentum is also quantized, L z = m l h 2 , m l = l , l + 1, , 1,0,1, , l 1, l ( )
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11/23/11 3 Direction of angular momentum Zeeman Effect November 11 Physics 104, Fall 2009 5 Spectral lines split when atoms are subjected to magnetic field. Line separation is proportional to the field strength. Proportionality of Amount of split to B implies interaction with moving charge. Angular Momentum. Some don’t split, others split
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This note was uploaded on 11/30/2011 for the course PHYSICS 104 taught by Professor Dasu/karle during the Fall '11 term at University of Wisconsin Colleges Online.

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Lect23 - 11/23/11 Atomic Physics Chapter 29 (2 of 2)...

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