Lecturez15SHWeb

Lecturez15SHWeb - Fri. Oct. 14, 2011 Todays Lecture Quantum...

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1 Fri. Oct. 14, 2011 Today’s Lecture Quantum Mechanics and Atomic Theory • 12.9 Orbitals (Quantum Numbers) • 12.10 Electron Spin and the Pauli Principle • 12. 11 Polyelectronic atoms: Ignore • 12.12 History of the Periodic Table: Ignore • 12.13 The Aufbau principle Lecture 15
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2 – radial probability distribution »plot 4 π r 2 Ψ 2 vs r Radial probability (4 πρ 2 R ) Distance from nucleus ( r ) (b) (a) probability Volume
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3 Standing Waves for 1- and 2-Dimensional Models of the Atom Guitar Strings Standing waves in 1-D Kettle Drums Standing waves in 2-D
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4
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5 • 12.9 Quantum numbers: – each solution (orbital) to Schrödinger equation is characterized by 4 quantum numbers: • principal quantum # ( __ ): n = integer (1, 2, 3…) (not zero) – as n increases, so does the _________________ » e - ’s spend more time away from nucleus – orbitals of the same quantum number n are said to belong to the same shell Letter K L M N n 1 2 3 4 Quantum Mechanical Solution for a particle (electron) constrained in 3-D
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6 The properties of the e - also depend on the quantum number __ • angular momentum (azimuthal) quantum # ( l ): l = integer (0, 1, 2, 3… n -1) values range from 0 to n -1 for each n _____________________ within each shell of quantum #, n , there are n different kind of orbitals Orbitals of the same n , but different l , are said to belong to a different subshell convention: l values are given letter designations: l = 0 s 1 p 2 d subshell of n 3 f 4 g
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7 • magnetic quantum number: ___ (gives # of orbitals): – integer ( - l …, -1, 0, 1, … l ) – always 2 l +1 orbitals in each subshell quantum # l – describes spatial orientation of orbital
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This note was uploaded on 12/10/2011 for the course CHEM 121 taught by Professor Leech during the Fall '11 term at Simon Fraser.

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Lecturez15SHWeb - Fri. Oct. 14, 2011 Todays Lecture Quantum...

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