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8-31 - The Bohr Model was not a perfect theory It didn't...

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The Bohr Model was not a perfect theory. It didn’t work for anything other than H. Section  Revised Theory THE SCHROEDINGER  MODEL Requires a knowledge of coordinate systems, trigonometry, matrices, and calculus to derive. (Not  one of Dr. Petrovich’s favorite college  courses.)
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+ e Electron was thought to be a particle (experimental evidence) + deBroglie thought “What if an electron is treated as a wave ?” + Stable waves cannot be like this. Section 
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 node  node  node  node  node  node n=1 n=4 n=3 n=2 (# nodes = n - 1) (2) (1) (0) (3) The more nodes,  the ________ the E.  higher Section 
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 node  node n=3 Section  λ = 2L/n = 2/3 *4 =  2.67 L = length of string = 4cm λ = wavelength (# nodes = n - 1) = 2 A 4 cm string is fastened at both sides is plucked.  What is the wavelength of the n = 3 standing wave?  How many nodes does it contain? 
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Solution to the Schroedinger Equation Resulted in Quantum Numbers The “probability region” of each electron in an atom is  described by 4 quantum numbers n , principal QN l , orbital angular momentum QN ml , magnetic orbital QN ms , spin QN Section 
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Primary indicator of the electron’s energy n , principal QN Designates level or shell Can have values 1, 2, 3, … Same idea an n from Bohr model – the bigger the n, the further away the e- is from the nucleus. Section 
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l , orbital angular momentum QN Designates orbital shape (# of nodes) Can have values 0, 1, 2, …, n - 1 Secondary
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