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5.112 Principles of Chemical Science Fall 2005 Professor Sylvia Ceyer Professor Christopher Cummins LECTURE 7 HYDROGEN ATOM WAVEFUNCTIONS I. Wavefuntions for H Atom A. Stationary state wavefunction B. Three quantum numbers to describe a wave in 3D 1. Principle quantum number, n 2. Angular momentum quantum number, 3. Magnetic quantum number, m C. Orbitals D. Degeneracy II. What the H atom wavefunctions look like A. Quantum numbers, n, l, m 1. Radial part of wavefunction 2. Angular part of wavefunction 3. Spherical symmetry B. s wavefunctions and radial nodes III. Physical significance of Ψ A. Probability density B. Radial probability distribution IV. Bohr's Model and the Uncertainty Principle l