lec26(2x2)

lec26(2x2) - Hydrogen Atom: Wave Function Bohr Model...

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12/4/11 1 Hydrogen Atom: Wave Function Bohr Model Quantum Physics 12/4/11 2 Hydrogen Atom: more quantum numbers According to Bohr’s Model, the energy levels of an electron in a Hydrogen atom: E n = ! 2 " 2 m e k 2 e 4 n 2 h 2 n = 1,2, 3,. ... 12/4/11 3 Quantum Numbers for Allowed Electron States in an Atom n = Principal Quantum Number (1,2,3,. ..) *Determines energy (Bohr) E n = ! 2 2 m e k 2 e 4 n 2 h 2 l = Orbital Quantum Number (0,1,2,. ..n-1) *Determines angular momentum * l < n always true! L = l ( l + 1) h 2 ! m l = Magnetic Quantum Number (-l,. ..,-1,0,1,. ..l) *Component of l along some z axis L z = m l h 2 m s = Spin Quantum Number *”Spin Up” or “Spin Down” ( ! 1 2 , + 1 2 ) 12/4/11 4 Pauli Exclusion Principle No two electrons in an atom can be in the same quantum state (n, l, m l , m s )
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12/4/11 5 Probability Functions for a few states of H 12/4/11 6 Nomenclature Example: 1 electron in the ground state of Hydrogen 12/4/11 7 Example 12/4/11 8 Periodic Table & Pauli Exclusion Principle
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lec26(2x2) - Hydrogen Atom: Wave Function Bohr Model...

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