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Unformatted text preview: 1 The Bohr Model was not a perfect theory. It didn’t work for anything other than H. Section 2.4 Revised Theory THE SCHRODINGER MODEL Requires a knowledge of coordinate systems, trigonometry, matrices, and calculus to derive. (Not one of Dr. Petrovich’s favorite college courses.) + 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 2.4 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 2.4 node node n=3 Section 2.4 2L/n 2/3 *4 = 2.67 L = length of string = 4cm 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? 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 • m l , magnetic orbital QN • m s , spin QN Section 2.4 •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....
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