Introductory Physical Chemistry - Topical Coverage

Introduction: Gas Laws and Measurement:

  • Unit systems
  • The Ideal Gas Law
  • Real Gas Behavior
  • Empirical Equations of State
    • Virial
    • Van der Waals
    • Redlich-Kwong
    • Parameterization by critical point

Kinetic Theory

  • Surface Collision and Frequency
  • Kinetic Theory Pressure
  • Boltzmann Distribution and Average Values
  • Grahams Law of Diffusion
  • Collisions between Particles and Threshold Energies
  • Calculation of a Simple Rate Coefficient

Thermodynamics

  • Fundamentals
    • System, Surroundings and Universe
    • Adiabatic, Isochoric and Isobaric processes
  • Heat and Work
    • Reversible and Irreversible Processes
    • State Functions
    • Heat Capacity
  • First law of Thermodynamics
  • Calorimetry
  • Adiabatic Processes
  • Enthalpy
    • Reaction Enthalpies
    • Reference States and Heats of Formation
    • Phase Changes
    • Reaction Enthalpies at Different Temperatures

Entropy and the Gibbs Free energy

  • Entropy
    • Molecular Interpretation of Entropy
    • Thermodynamic connection of Entropy
    • Second Law of Thermodynamics
    • Third Law of Thermodynamics
    • Entropy Changes for Reaction Systems
    • Entropy Changes for Reaction Systems at Different Temperatures 
    Gibbs Free Energy

Equilibrium Reaction Systems

  • Gibbs Free Energy and the Equilibrium Constant
    • Computation of the Equilibrium Constant at 298.15 K.
    • Temperature Dependence of the Equilibrium Constant
    • Pressure Dependence of the Equilibrium Constant
  • Non-ideal Conditions and the Fugacity

Phase Transitions

  • Gibbs Free Energy and Phase Equilibria
    • Variation with Temperature and Pressure
  • The Clapyron Equation
  • Transitions involving Condensed Phases
  • Transitions involving Gases - The Clausius-Clapyron equation.
  • Phase Diagrams

Solutions and Activities

  • Activity and the Activity Coefficient
  • Ideal and Non-Ideal Solution Systems
  • Boiling Point Diagrams
  • Calculation of activity coefficients
    • Raoult’s Law and Henry’s Law
    • Boiling Point Elevation/Freezing Point Depression
    • Osmotic Pressure
    • Debye-Huckel Theory
    • Gibbs-Duhem

  Kinetics

  • Phenomenological Kinetics
  • Concerted Reactions
  • Experimental Methods of the Determination of a Rate Law
  • Temperature Dependence and the Arrhenius Law
  • Other reactions of Interest
    • Equilibrium
    • Parallel Reactions
    • Consecutive Reactions
  • Mechanisms
      • Approximation Methods - Steady-State and Prior-Equilibrium
  • Enzymes
    • Michaelis-Menton Mechanism
    • Enzyme Inhibition

 

Introduction to Quantum Mechanics

  • The birth of quantum theory, historical background and the failures of classical mechanics.
    • Blackbody radiation
    • The photoelectric effect
    • Atomic Spectra
    • Bohr theory of the atom.
    • Advent of wave theory
  • Postulates of quantum mechanics.
  • Heisenberg Uncertainty Principle
  • The Schrodinger wave equation.
  • Quantum Mechanical Tunneling
  • Application to Motions
    • Translational
    • Rotational
    • Vibrational

Statistical Mechanics

  • Molecular Quantum State Distributions
  • The Molecular Partition Function
    • Application to Translational, Rotational and Vibrational Motion
    • Effects of Electronic and Nuclear
  • Canonical Partition Function
  • Computing Thermodynamic Quantities
  • Computation of the Equilibrium Constant

 

Quantum Mechanical View of Atoms

  • Hydrogen-Like Atoms
    • Atomic Spectra
    • Orbitals and Probability
    • Behavior in a Magnetic Field
    • Spin and the Spin Quantum Number
    • Atomic Term Symbols
  • Multi-electronic Atoms
    • Electron Correlation and Relativistic Effects

Quantum Mechanical View of Molecules

  • Valence Bond and Molecular Orbital Theories
  • Hydrogen Molecule Ion
  • Multi-electronic Molecules
    • HF, MP and CI calculations
    • General Summary of Many Electron systems

Spectroscopy

  • Absorption of Radiation and Intensity
    • Selection Rules
    • Line Width
    • Intensity and Population of States
  • Rotational Spectroscopy
  • Vibrational Spectroscopy
  • Co-Spectra
  • Electronic Spectroscopy and the Franck-Condon Principle
  • Lasers