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| Preface | |
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| Acknowledgment | |
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| The Dawn of the Quantum Theory | |
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| MathChapter A: Complex Numbers | |
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| The Classical Wave Equation | |
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| MathChapter B: Probability and Statistics | |
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| The Schrodinger Equation and a Particle in a Box | |
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| MathChapter C: Vectors | |
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| Some Postulates and General Principles of Quantum Mechanics | |
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| MathChapter D: Spherical Coordinates | |
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| The Harmonic Oscillator and the Rigid Rotator: Two Spectroscopic Models | |
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| The Hydrogen Atom | |
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| MathChapter E: Determinants | |
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| Approximation Methods | |
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| Multielectron Atoms | |
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| The Chemical Bond: Diatomic Molecules | |
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| Bonding in Polyatomic Molecules | |
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| Computational Quantum Chemistry | |
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| MathChapter F: Matrices | |
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| Group Theory: The Exploitation of Symmetry | |
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| Molecular Spectroscopy | |
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| Nuclear Magnetic Resonance Spectroscopy | |
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| Lasers, Laser Spectroscopy, and Photochemistry | |
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| MathChapter G: Numerical Methods | |
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| The Properties of Gases | |
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| MathChapter H: Partial Differentiation | |
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| The Boltzmann Factor and Partition Functions | |
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| MathChapter I: Series and Limits | |
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| Partition Functions and Ideal Gases | |
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| The First Law of Thermodynamics | |
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| MathChapter J: The Binomial Distribution and Stirling's Approximation | |
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| Entropy and the Second Law of Thermodynamics | |
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| Entropy and the Third Law of Thermodynamics | |
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| Helmholtz and Gibbs Energies | |
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| Phase Equilibria | |
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| Chemical Equilibrium | |
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| The Kinetic Theory of Gases | |
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| Chemical Kinetics I: Rate Laws | |
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| Chemical Kinetics II: Reaction Mechanisms | |
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| Gas-Phase Reaction Dynamics | |
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| Solids and Surface Chemistry | |
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| Answers to the Numerical Problems | |
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| Illustration Credits | |
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| Index | |