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Chemistry 8561, Fall Semester, 2009 Thermodynamics, Statistical Mechanics, and Kinetics I 13:15-14:15, Monday, Wednesday, Friday 121 Smith Hall |
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Instructor:
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Teaching Assistants:
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Announcements: Please note that class starts at 13:15. No class on Sept. 16 (GS exec committee), Sept. 23 and 25 (Zurich/Basel), Nov. 9, 11 and 13 (AIChE meeting), and Nov. 20 and 23 (Cologne/Bochum). Due to conflicts, the lecture scheduled for Wed., Oct. 7 is moved to Tues., Oct. 6 from 6:00-7:00 p.m. in Smith 101J, and the lecture scheduled for Mon., Oct. 12 is moved to Mon., Oct. 12 from 3:30-4:30 p.m. in Kolthoff 487. |
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Schedule: |
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| Date | Topic | Reading | Homework | Course Notes (pdf) | ||||
| W | Sept. 9 | Introduction; Three Postulates | 1.1-1.5 | HW 1: 1.23, 1.28, 1.51, 2.4, 2.8, 2.9 (due 9/18) |
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| F | Sept. 11 | Canonical Ensemble | 2.1-2.4 | |||||
| M | Sept. 14 | Canonical Ensemble (contd.) | ||||||
| W | Sept. 16 | No Class (GS Exec Committee) |
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| F | Sept. 18 | Grand Canonical and Isobaric-Isothermal Ensembles |
3.1, 3.2 | HW 2: 2.14, 2.15, 3.3, 3.7, 3.18, 3.22 (due 9/30) | Notes 1 | |||
| M | Sept. 21 | Grand Canonical and Isobaric-Isothermal Ensembles (contd.) | ||||||
| W | Sept. 23 | No Class (ETH Zurich seminar) | ||||||
| F | Sept. 25 | No Class (U Basel seminar) |
Notes 2 | |||||
| M | Sept. 28 | Fluctuations and Boltzmann statistics |
3.3, 4.1 | |||||
| W | Sept. 30 | Fermi-Dirac and Bose-Einstein statistics | 4.2 | HW 3: 3.9, 3.18, 3.22, 4.1, 4.5, 4.10 (due 10/09) | Notes 3 | |||
| F | Oct. 2 | Ideal Monatomic Gas | 5.1-5.3 | |||||
| M | Oct. 5 | Ideal Monatomic Gas (contd.) | ||||||
| W | Oct. 7 | Ideal Diatomic Gas | 6.1-6.3 | |||||
| F | Oct. 9 | Ideal Diatomic Gas (contd.) |
HW 4 : 5.3, 5.9, 5.13 (due 10/14) | Notes 4 | ||||
| M | Oct. 12 | Ideal Polyatomic Gas | 8.1-8.4 | |||||
| W | Oct. 14 | Classical Statistical Mechanics | 7.1-7.3 | HW 5: 6.12, 6.15 (20K & 300K), 6.19, 7.8, 8.5, 8.13 (due 10/21) | ||||
| F | Oct. 16 | Chemical Equilibrium |
9.1-9.3 | Notes 5 | ||||
| M | Oct. 19 | Crystals | 11.1-11.6 | |||||
| W | Oct. 21 | Review | ||||||
| F | Oct. 23 | MIDTERM EXAM |
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| M | Oct. 26 | Imperfect Gases | 12.1-12.3, 12.7 | |||||
| W | Oct. 28 | Cell Theory of Liquids | Hill 16 | HW 6: 9.2, 9.5, 9.16, 11.9, 11.20 (due 11/04) | ||||
| F | Oct. 30 | Distribution Functions |
13.1-13.3 | |||||
| M | Nov. 2 | Introduction to Computational Projects | ||||||
| W | Nov. 4 | Discussion of Classics I & II |
Metropolis, Rosenbluth, Rosenbluth, Teller, Teller, "Equation of state calculations by fast computing machines," J. Chem. Phys. 21, 1087-1092 (1953). [Dylan] Wood and Parker, "Monte Carlo equations of state of molecules interacting via the Lennard-Jones potential. I. A supercritical isotherm at about twice the critical temperture," J. Chem. Phys. 27, 720-733 (1957). [Makenzie] |
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| F | Nov. 6 | Monte Carlo Acceptance Rules |
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| M | Nov. 9 | No Class (AIChE meeting) |
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| W | Nov. 11 | No Class (AIChE meeting) |
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| F | Nov. 13 | No Class (AIChE meeting) |
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| M | Nov. 16 | Biased Monte Carlo Techniques | ||||||
| W | Nov. 18 | Discussion of Classics III & IV |
McDonald, "NpT-ensemble Monte Carlo calculations for binary liquid mixtures," Mol. Phys. 23, 41-58 (1972). [Elizabeth] Panagiotopoulos, Quirke, Stapleton, Tildesley, "Phase equilibria by simulation in the Gibbs ensemble. Alternative derivation, generalization and application to mixture and membrane equilibria," Mol. Phys. 63, 527-546 (1988). [Angel] |
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| F | Nov. 20 | No Class (U Cologne seminar) |
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| M | Nov. 23 | No Class (U Bochum seminar) | ||||||
| W | Nov. 25 | MC in Other Ensembles | ||||||
| F | Nov. 27 | Holiday | ||||||
| M | Nov. 30 | Discussion of Classics V & VI |
Alder and Wainwright, "Studies in molecular dynamics. I. General method," J. Chem. Phys. 31, 459-466 (1959). [Charlie] Rahman, "Correlation in the motion of atoms in liquid argon," Phys. Rev. A 136, 405-411 (1964). [Stuart] |
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| W | Dec. 2 | Molecular Dynamics Integrators |
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| F | Dec. 4 | Discussion of Classics VII & VIII | Verlet, "Computer 'experiments' on classical fluids. I. Thermodynamic properties of Lennard-Jones molecules," Phys. Rev. 159, 98-103 (1967). [Keith] Nose and Klein , "Constant pressure molecular dynamics for molecular systems," Mol. Phys. 50, 1055-1076 (1983). [Zahra] |
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| M | Dec. 7 | Calculation of Time-Dependent Properties | ||||||
| W | Dec. 9 | Discussion of Classics IX & X | Hansen and Verlet, "Phase transitions of the Lennard-Jones system," Phys. Rev. 184, 151-161 (1969). [???] Frenkel and Ladd, "New Monte Carlo method to compute the free energy of arbitrary solids. Application to the fcc and hcp phases of hard spheres," J. Chem. Phys. 81, 3188-3193 (1984). [Peng] |
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| F | Dec. 11 | Advanced Free Energy Methods |
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| M | Dec. 14 | Discussion of Classics XI & XII | Jorgensen, "Free energy calculations - A breakthrough for modeling organic chemistry in solution," Acc. Chem. Res. 22, 184-189 (1989). [???] Laio, Rodriguez-Fortea, Gervasio, Ceccarelli, and Parrinello, "Assessing the accuracy of metadynamics," J. Phys. Chem. B 109, 6714-6721 (2005). [???] |
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| W | Dec. 16 | Discussion of Classic XIII |
Car and Parrinello, "Unified approach for molecular dynamics and density functional theory," Phys. Rev. Lett. 55, 2471-2474 (1985). [???] |
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| F | Dec. 18 | FINAL EXAM/PROJECTS (13:30-18:30) | ||||||
Date:??? Fitts, "Statistical Mechanics: A study of intermolecular forces," Ann. Rev. Phys. Chem. 17, 59-82 (1966). [Allison]
Free Agents: Li, Sijie, Yingjie