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HOPE Chem 344: Krueger

1. Unit I: Breakdown of Classical Theory
2. Unit VI: Approximations
3. Unit II: Classic Oscillations
4. Unit VII: Atoms
5. Unit III: Schrödinger Equation
6. Unit VIII: Angular Momentum
7. Unit IV: Postulates of Quantum Mechanics
8. Unit IX: Symmetry in Multi-Electron Atoms
9. Unit V: Harmonic Oscillator & Rigid Rotors
10. Unit X: Molecules

Physical Chemistry II (CHE 344) Quantum Mechanics
Instructor: Dr. Krueger

Unit I: Breakdown of Classical Theory There is a reason that we study Quantum Mechanics. It describes the nature of small systems (e.g. chemicals) well when classical Newtonian theory simply fails. Classical vs. Quantum Mechanics Double Slit Experiment Blackbody Radiation Photoelectric Effect Heat Capacity of Solids Angular Momentum H Atom Spectrum Bohr Atom, Reduced Mass de Broglie Wavelength Heisenberg's Uncertainty Principle Bohr Correspondence Principle	Unit VI: Approximations Somtimes, just knowing the equations that must be solved just isn't enough; we still cannot solve them since they are too complex. Hence, we require approximations to get some useful QM results. Perturbation Theory Variational Method
Unit II: Classic Oscillations Classical Wave Equation Solution of Wave Eqn w/ Boundary Conditions Solution of Wave Eqn (con't) Normal Modes Fourier Analysis, Interference 2-D & 3-D Wave Eqn Solutions	Unit VII: Atoms Quantum Mechanical H Atom H Atom Energy Levels H Atom Wavefunctions Zeeman Effect Multi-Electron Atoms Atomic Units Helium Addition of Angular Momentum Atomic Term Symbols Spin-Orbit Coupling Atomic Spectroscopy
Unit III: Schrödinger Equation Now, expand the intuition from Classical Oscillations into the relm of Quantum Mechanics. Schrödinger E quation Born Wavefunction Particle in a Box Operators Eigenvalue Equations Expectation Values and Uncertainties Quantum Dots	Unit VIII: Angular Momentum Laplacian Operator Quantum Rigid Rotor Angular Momentum Rigid Rotor Selection Rules Rotational Spectroscopy of Diatomic Molecules Rotation-Vibration Spectroscopy
Unit IV: Postulates of Quantum Mechanics Postulate 1 Postulate 2 Postulate 3 & 3.5 Postulate 4 Well-Defined Quantities Commuting Operators, Quantum Measurements Postulate 5	Unit IX: Symmetry in Multi-Electron Atoms Electron Spin Identical Particles Antisymmetry Principle Helium Electron Configurations Slater Determinant
Unit V: Harmonic Oscillator & Rigid Rotors Diatomic Motion Classical Harmonic Oscillator Quantum Harmonic Oscillator HO Energy Levels HO Wavefunctions, Heisenberg Uncertainty Principle PE of a Chemical Bond Molecular Vibration Tunneling Kinetic Isotope Effect HO Selection Rules Vibrational Spectroscopy of Diatomic Molecules Polyatomic Vibrations Multi-Dimensional Problems Separable Hamiltonian Spherical Polar Coordinates	Unit X: Molecules Born-Oppenheimer Approximation Nuclear Potential Surfaces Molecular Orbital Theory MO Theory for Diatomics MO Theory for Polyatomics Huckel Theory Computational Chemistry

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HOPE Chem 344: Krueger

Table of contents

Unit I: Breakdown of Classical Theory

Unit VI: Approximations

Unit II: Classic Oscillations

Unit VII: Atoms

Unit III: Schrödinger Equation

Unit VIII: Angular Momentum

Unit IV: Postulates of Quantum Mechanics

Unit IX: Symmetry in Multi-Electron Atoms

Unit V: Harmonic Oscillator & Rigid Rotors

Unit X: Molecules