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# L36 - Standing waves for a string Lecture 36 My Space...

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Lecture 36 My Space: Atomic Orbitals Key Idea: Orbitals show angular distributions of electrons. Standing waves for a string L n = 3 n = 2 n = 1 n = 0 # of nodes 3 2 1 0 energy 2 ; 1, 2, 3, ... L n n ! = = Energy levels and probability Energy levels Wave function Probability Standing waves for a vibrating drum n = 3 two nodes n = 2 one node n = 1 no nodes energy circular nodes linear nodes Standing waves for a vibrating drum n = 2 n = 3 n = 1 Number of nodes = n-1 A second quantum number, l , specifies the type of node Standing waves for electrons in an atom: s orbitals 1s 2s 3s 1s 2s 3s node nodes

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n = 2 n = 3 n = 1 n = 4 s p d f Standing waves for electrons in an atom: s, p, d, f orbitals Number of nodes = n-1 A second quantum number, l , specifies the type of node Mr. Schrödinger Wave functions, shapes, nodes, and probabilities Quantum numbers n - principle quantum number ! energy l - angular momentum quantum number ! shape, number of nodes m l - magnetic quantum number ! orientation in space n : 1, 2, 3, ….
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L36 - Standing waves for a string Lecture 36 My Space...

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