Chemistry 8561, Fall Semester, 2009

Thermodynamics, Statistical Mechanics, and Kinetics I

13:15-14:15, Monday, Wednesday, Friday

121 Smith Hall


Instructor:

Ilja Siepmann

  • Office: 227 Smith Hall
  • Phone: 4-1844
  • Email: siepmann@umn.edu
  • Office hours: anytime

Teaching Assistants:

Katie Beutel, Hadi Dinpajooh, and Katie Maerzke

  • Office: 487 Kolthoff Hall
  • Phone: 4-7666
  • Email: beut0013, dinpa001, maerz001
  • Office hours: Mondays: 9-11 and after 3:15, Tuesdays: after 3

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.

 

Syllabus: (pdf, tex)


Schedule:

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)

F Sept. 11 Canonical Ensemble 2.1-2.4    
M Sept. 14 Canonical Ensemble (contd.)    
W Sept. 16 No Class (GS Exec Committee)  

 

 
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

   
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]

     
F Nov. 6

Monte Carlo Acceptance Rules

     
M Nov. 9

No Class (AIChE meeting)

     
W Nov. 11

No Class (AIChE meeting)

     
F Nov. 13

No Class (AIChE meeting)

     
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]

     
F Nov. 20

No Class (U Cologne seminar)

     
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]

     
W Dec. 2

Molecular Dynamics Integrators

     
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]

     
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]

     
F Dec. 11

Advanced Free Energy Methods

     
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). [???]

     
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). [???]

 
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]

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