Chapter 1. The Tools of the Trade: Mathematical Concepts
1.1 Units of Measurement
1.2 Common Functions and Chemical Applications
1.3 Vectors and Directions
1.4 Exponentials and Logarithms
1.5 Problems
Chapter 2. Essentials of Calculus for Chemical Applications
2.1 Derivatives
2.2 Applications of Derivatives
2.3 Principles of Integration
2.4 Problems
Chapter 3. Essential Physical Concepts for Chemistry
3.1 Forces and Interactions
3.2 Kinetic and Potential Energy
3.3 Harmonic Motion
3.4 Introduction to Waves
3.5 Introduction to Atomic and Molecular Interactions
3.6 Problems
Chapter 4. Introduction to Statistics and Statistical Mechanics
4.1 The "Random Walk" Problem
4.2 The Normal (Gaussian) Distribution
4.3 Applications of the Normal Distribution in Chemistry and Physics
4.4 The Boltzmann Distribution
4.5 Applications of the Boltzmann Distribution
4.6 Applications of Statistics to Kinetics and Thermodynamics
4.7 Problems
Chapter 5. Introduction to Quantum Mechanics
5.1 Prelude
5.2 Blackbody Radiation: Light as Particles
5.3 Heat Capacity and the Photoelectric Effect
5.4 Orbital Motion and Angular Momentum
5.5 Atomic Structure and Spectra: Quantization of Energy
5.6 Particles as Waves
5.7 The Consequences of Wave-Particle Duality
5.8 Classical Determinism and Quamtum Indeterminacy
5.9 Applications of the Uncertainty Principle
5.10 Angular Momentum and Quantization of Measurements
5.11 Magnetic Resonance Spectroscopy and Imaging
5.12 Summary
5.13 Problems
Chapter 6. Applications of Quantum Mechanics
6.1 Wave Mechanics
6.2 Particle-In-A-Box: Exact Solution
6.3 Schrödinger's Equation for the Hydrogen Atom
6.4 Multielectron Atoms and Molecules
6.5 Problems
Chapter 7. The Kinetic Theory of Gases
7.1 Collisional Dynamics
7.2 Properties of Ideal Gases
7.3 Assumptions of the Kinetic Theory: A Second Look
7.4 Summary
7.5 Problems
Chapter 8. The Interaction of Radiation with Matter
8.1 Introduction to Absorption and Emission
8.2 Molecular Spectroscopy
8.3 Modern Laser Spectroscopy
8.4 Problems