5.62
Physical Chemistry
Elementary statistical mechanics; transport properties; kinetic theory; solid state; reaction rate theory; and chemical reaction dynamics.
Spring 2008 · Physical Chemistry II
Topics
- Review of thermodynamics
- E, A, and S: macroscopic properties for microscopic probabilities {P i }
- Canonical partition function: replace {P i } by Q
- Microcanonical ensemble: replace {P i } by Ω, Q vs. Ω
- Molecular partition function: replace E (assembly) by ε (molecule)
- Q corrected for molecular indistinguishability
- Translational part of Boltzmann partition function
- Boltzmann, Fermi-Dirac, and Bose-Einstein statistics
- Calculation of macroscopic properties from microscopic energy levels: q trans
- Internal degrees of freedom for atoms and diatomic molecules
- Nuclear spin statistics: symmetry number, σ Low temperature limit for rotational partition function
- Low and high-T limits for q rot and q vib
- Polyatomic molecules: rotation and vibration
- Chemical equilibrium I
- Chemical equilibrium II
- Model intermolecular potentials
- Configurational integral: cluster expansion
- Virial equation of state
- Thermodynamics of solid: Einstein and Debye models
- Einstein and Debye solids
- Phonons: 1-D linear chain of atoms
- Free electron theory of a metal
- Heat capacity in metals
- Band theory of solids
- Crystal phase equilibria
- Kinetic theory of gases: Maxwell-Boltzmann distribution
- Kinetic theory of gases: effusion and collisions
- Kinetic theory of gases: collision dynamics and scattering
- Kinetic theory of gases: mean free path and transport
- Kinetic theory of gases: transport coefficients
- Transition state theory I
- Statistical mechanics for photons
- Rates of unimolecular reactions: RRKM
Readings
- Hill, Terrill L. An Introduction to Statistical Thermodynamics . New York, NY: Dover, 1987. ISBN: 9780486652429.
- Knox, J. H. Molecular Thermodynamics . New York, NY: John Wiley & Sons, 1971. ISBN: 9780471495901.
- Andrews, F. C. Equilibrium Statistical Mechanics . New York, NY: John Wiley & Sons, 1975. ISBN: 9780471031239.
- Silbey, R., R. Alberty, and M. Bawendi. Physical Chemistry . 4th ed. New York, NY: John Wiley & Sons, 2004. ISBN: 9780471215042.
- McQuarrie, D., and J. Simon. Physical Chemistry: A Molecular Approach . University Science, 1997. ISBN: 9780935702996.
- Metiu, H. Physical Chemistry: Statistical Mechanics . Taylor & Francis, 2006. ISBN: 9780815340850.
- Maczek, A. Statistical Thermodynamics . New York, NY: Oxford University Press, 1998. ISBN: 9780198559115.
- Nash, L. Elements of Statistical Thermodynamics . 2nd ed. New York, NY: Dover, 2006. ISBN: 9780486449784.
- Callen, H. Thermodynamics and an Introduction to Thermostatistics . 2nd ed. New York, NY: John Wiley & Sons, 1985. ISBN: 9780471862567.
- Widom, B. Statistical Mechanics: A Concise Introduction for Chemists . Cambridge, UK: Cambridge University Press, 2002. ISBN: 9780521811194.
- McQuarrie, D. Statistical Mechanics . 2nd ed. University Science Books, 2000. ISBN: 9781891389153.
- Reif, F. Fundamentals of Statistical and Thermal Physics . New York, NY: McGraw-Hill, 1965. ISBN: 9780070518001.
- Kittel, C. Introduction to Solid State Physics . New York, NY: John Wiley & Sons, 1986. ISBN: 9780471874744.
- Mayer, J., and M. Mayer. Statistical Mechanics . New York, NY: John Wiley & Sons, 1966.
- Sachs, M. Solid State Theory . New York, NY: McGraw-Hill, 1963.
- Bube, R. Electrons in Solids . Burlington, MA: Academic Press, 1992. ISBN: 9780121385538.
- Ibach, H., and H. Lüth. Solid State Physics . New York, NY: Springer-Verlag, 2003. ISBN: 9783540438700.
- Ashcroft, N. W., and, N. D. Mermin. Solid State Physics . Saunders College, 1976. ISBN: 9780030839931.
- Kauzmann, W. Kinetic Theory of Gases . Benjamin, 1966.
- Houston, P. Chemical Kinetics and Reaction Dynamics . New York, NY: Dover, 2006. ISBN: 9780486453347.
- LEC #: 1 · TOPICS: Review of thermodynamics · READINGS: H: 1-6
- LEC #: 2 · TOPICS: E, A, and S: macroscopic properties for microscopic probabilities {P i } · READINGS: H: 6-20
- LEC #: 3 · TOPICS: Canonical partition function: replace {P i } by Q · READINGS: H: 12-13 and 18-20
- LEC #: 4 · TOPICS: Microcanonical ensemble: replace {P i } by Ω, Q vs. Ω · READINGS: H: 26-30 and 33-38
- LEC #: 6 · TOPICS: Q corrected for molecular indistinguishability · READINGS: H: 68-70
- LEC #: 7 · TOPICS: Translational part of Boltzmann partition function · READINGS: H: 74-77
- LEC #: 8 · TOPICS: Boltzmann, Fermi-Dirac, and Bose-Einstein statistics · READINGS: H: 59-72
- LEC #: 9 · TOPICS: Calculation of macroscopic properties from microscopic energy levels: q trans · READINGS: H: 74-81
- LEC #: 18 · TOPICS: Model intermolecular potentials · READINGS: H: 261-274
- LEC #: 21 · TOPICS: Thermodynamics of solid: Einstein and Debye models · READINGS: H: 86-98
- LEC #: 22 · TOPICS: Einstein and Debye solids · READINGS: H: 98-105 and 490-495
- LEC #: 24 · TOPICS: Free electron theory of a metal · READINGS: H: 441-444
- Readings of relevant pages in several standard texts are listed per lecture. No single textbook is satisfactory for the topics covered (and the level at which they are covered) in 5.62. It is expected that you will spend 5-10 minutes previewing each day’s lecture notes before class .
Prerequisites & course information
Prereq: 5.601 , 5.602 , 5.611 , and 5.612 U (Spring) 4-0-8 units
Sources
- Course catalogue ↗2026–2027
- MIT OpenCourseWare ↗Spring 2008
- MIT OCW readings ↗
- MIT OCW syllabus ↗
- MIT OCW calendar ↗
- Historical MIT OpenCourseWare offering. Named reading entries and schedule topics are automatically extracted from the linked source pages.