Theoretical / proof-based
Advanced physical chemistry · Graduate · Chemistry
Topics
Classical thermodynamics
- Postulates of thermodynamics and entropy as a state function
- Legendre transforms and thermodynamic potentials
- Maxwell relations and Jacobian methods
- Stability criteria and phase transitions: Clausius–Clapeyron
- Chemical potential in multicomponent systems
- Gibbs–Duhem equation and activity coefficients
- Non-ideal solutions: Margules, van Laar, Wilson equations
- Electrochemical thermodynamics and the Nernst equation derivation
- Surface thermodynamics: Gibbs adsorption isotherm
- Irreversible thermodynamics and entropy production (intro)
Statistical mechanics
- Ensembles: microcanonical, canonical, grand canonical
- Partition functions and connection to thermodynamic quantities
- Ideal gas, ideal crystal, and Einstein model
- Debye model for heat capacity of solids
- Classical and quantum statistics: Maxwell–Boltzmann, Bose–Einstein, Fermi–Dirac
- Fermi energy and electronic contribution to heat capacity
- Configurational entropy and mixing in solutions
- Fluctuation-dissipation theorem (introduction)
- Monte Carlo and molecular dynamics foundations
- Critical phenomena and Ising model (overview)
Chemical kinetics and dynamics
- Potential energy surfaces and reaction dynamics
- Transition state theory: derivation and limitations
- RRKM theory for unimolecular reactions
- Marcus theory for electron transfer reactions
- Kramers theory for reactions in solution
- Femtochemistry and ultrafast spectroscopy
- Molecular beam scattering and crossed-beam experiments
- State-to-state dynamics and steric effects
- Rice–Ramsperger–Kassel theory extensions
- Master equations and stochastic kinetics
Advanced spectroscopy theory
- Time-dependent perturbation theory and Fermi's golden rule
- Selection rules from symmetry and transition dipoles
- Raman and resonance Raman theory
- Multiphoton absorption and nonlinear spectroscopy
- Coherent two-dimensional spectroscopy (overview)
- NMR: density matrix formalism and relaxation
- EPR and ENDOR spectroscopy theory
- X-ray spectroscopy: XAS, XES (introduction)
- Photoelectron spectroscopy and Koopmans' theorem
- Computational spectroscopy: time-dependent DFT
Pricing
Graduate-level rates are set on consultation. See the pricing page for K–12 and undergraduate rates.