| lec # | TOPICS | readings |
|---|---|---|
| 1 | Introduction, Textbook and Notes, Many Body Schrödinger Equation, Density Functional Theory, Examples and Inspiration | |
| 2 | Electronic Spin, Spin Orbitals, Molecular Orbital Theory, Valence Bond Theory | Review quantum mechanics, Solution of hydrogen atom. |
| 3 | Hartree-Fock Theory, Matrix Manipulations | |
| 4 | Mathematical Underpinnings, Dirac Notation, G03 Calculations | Read SO, pp. 1-30. |
| 5 | Electronic Classroom Tutorial | |
| 6 | Solution of Hartree-Fock Equations, Variational Principle, Mean Field Theory | |
| 7 | Solution of H-F Equations (cont.), Meaning of Eigenvalues, Basis Sets Introduction | SO, pp. 108-122, 131-149. |
| 8 | Gaussian Basis Sets | |
| 9 | Correlation, CI, MP Perturbation Theories | SO, pp. 60-64, 320-326, 350-353; study graphs 375-376; skim SO chapter 4. |
| 10 | Density Functional Theory (DFT) - Introduction | Read handout on DFT. DFT paper 1: Hohenberg, P., and W. Kohn. "Inhomogeneous Electron Gas." Physical Review 136, no. 3B (9 November, 1964): B864-B871. DFT paper 2: Kohn, W., and L. J. Sham. "Self-Consistent Equations Including Exchange and Correlation Effects." Physical Review 140, no. 4A – 15 (November 1965): A1133-A1138. |
| 11 | DFT: Solution of Kohn-Sham Equations and Exchange-Correlation Functionals | |
| 12 | Coupled-Cluster Theories, QCISD, G1, G2 | Skim SO, chapter 5. |
| 13 | G1, G2 (cont.), Comparison, NCSA Teams, Projects | Read handouts G2 Assessment: Curtiss, Larry A., Krishnan Raghavachari, Paul C. Redfern, and John A. Pople. "Assessment of Gaussian-2 and Density Functional Theories for the Computation of Enthalpies of Formation." The Journal of Chemical Physics 106, no. 3 (15 January 1997): 1063-1079. G3 Theory: Curtiss, Larry A., Krishnan Raghavachari, Paul C. Redfern, Vitaly Rassolov, and John A. Pople. "Gaussian-3 (G3) Theory for Molecules Containing First and Second-row Atoms." The Journal of Chemical Physics 109, no. 18 (8 November 1998): 7764-7776. |
| 14 | The Plane-wave Pseudopotential Method (PWPP) | |
| 15 | PWPP (cont.), Introduction to Classical Molecular Dynamics (MD) | |
| 16 | Car-Parrinello Molecular Dynamics - Method | Original Car-Parrinello Paper: Car, R., and M. Parrinello. "Unified Approach for Molecular Dynamics and Density-Functional Theory." Physical Review Letter 55, no. 22–25 (November 1985): 2471-2474. |
| 17 | Running the Car-Parrinello Code | Review molecular dynamics from lecture 15 and 16. |
| 18 | Car-Parrinello Molecular Dynamics - Applications | |
| 19 | Embedding, Reaction Field Methods, Solvation, Combined QM/MM | |
| 20 | Exploring Complex Free Energy Landscapes - Reactivity | |
| 21 | Computing Reaction Rate Constants | |
| 22 | Student Final Project Presentations I | |
| 23 | Student Final Project Presentations II | |
| 24 | Design of Selective, Sulfur Resistant, Oxidation Automotive Catalysts (Presented by Course Teaching Assistant) |









