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Infinite Square Well “Particle in a Box”: Hydrogen (like) Atom Bohr Model: eV Bohr radius: a 0 = 0.0529 nm Orbital angular momentum

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Schroedinger Equation: Time Independent S. E. in 1D: T. I. S. E. in 3D: T. I. S. E. in spherical coordinates: See Eq. 36-21 Spherical Coordinates

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ConcepTest #77

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NameSymbolValuesCommentsPhysical Quantity Principal quantum number Relates to energy Orbital quantum number Relates to orbital angular momentum Magnetic quantum number Relates to z-component of orbital angular momentum Typo in eq. 36-23?

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ConcepTest #78

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Orbital angular momentum and z-component: Take case

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ConcepTest #79

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Transitions and Selection Rules: Some transitions are forbidden by radiative processes… Figure 36-7

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Hydrogen Atom Wave Functions and Probability Densities ConcepTest #80

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Radial Probability Densities Hydrogen Atom Probability www.phy.Davidson.edu/StuHome/cabell_f/Density.html www.phy.Davidson.edu/StuHome/cabell_f/Radial.html

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