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  Home > JCE Print > Journal of Chemical Education > Issues > 1998  > October  >
Chemical Education Today
Book and Media Reviews
Statistical Mechanics for Chemists (by Jerry Goodisman)
Wiley: New York, 1997. 344 pp. ISBN 0 471 16812 2. $64.95.

reviewed by John Gunn
Department of Chemistry, Université du Montréal, Montreal, PQ, Canada

Cover
October 1998
Vol. 75 No. 10
p. 1217

Full Text
Statistical mechanics can be a challenging subject to introduce to a class of chemists who are not necessarily theoretically oriented. While it constitutes one of the foundations of physical chemistry, it requires a certain mathematical rigor, which can sometimes seem overwhelming to the beginning student. In the preface to Statistical Mechanics for Chemists, author Jerry Goodisman addresses this issue and points out some of the problems he sees with the many excellent books that are available on the subject. Some are too specialized, some are too fundamental, and some are simply too old and don't reflect recent advances. What is missing is the book that is "just right", one which includes step-by-step derivations at a level accessible to most students and at the same time covers some of the more difficult topics that are of special interest to chemists, knowing that for most students a more advanced course is unlikely to follow. On this point I heartily agree, and I tip my hat to the author for having put together the present book. I know of only one other book that fits this description, and it is one that I rely on heavily.

Statistical Mechanics for Chemists starts out with a cursory discussion of thermodynamics and ensembles in the first two chapters. Some familiarity with the basic ideas is assumed, and the intent is clearly to avoid getting bogged down in the technical details. This may be problematic, however, both for less advanced students who may need more emphasis on the fundamentals and for more advanced students who would miss the benefits of a more systematic treatment. The next two chapters present the relatively standard topics of non-interacting particles and molecular partition functions. This section is considerably more thorough and contains an impressive level of detail. This is the core material. However a full two thirds of the text is reserved for the final four chapters. Chapter 5 deals with quantum statistics and provides a very thorough discussion of Fermi and Bose systems, including a detailed section on semiconductors. Chapter 6 addresses classical systems, beginning with Hamilton's equations, continuing to a classical treatment of molecular collisions, and wrapping up with a detailed derivation of dielectric response. Chapter 7 concerns the structure of liquids and includes sections on correlation functions and integral equations, highlighted by an excellent derivation of the Debye-Hückel equation. The final chapter discusses relaxation and includes sections on time correlation functions, linear response theory, and the Langevin equation.

While this is certainly an impressive list of subjects, it represents a particular choice of emphasis; and it is also important to point out some areas that are overlooked but which might be expected in a book at this level. For example, there is no mention at all of phase transitions or associated topics such as mean-field theory or order parameters. While some readers may consider that best left to physicists, others will find it sorely missed. There is also virtually no discussion of computer simulation, which is a rapidly expanding application of classical statistical mechanics in chemistry.

Like the choice of material, the overall style of the book is also to some extent a question of taste. The author makes use of lengthy derivations, which has the pedagogical advantage of leading the student along and introducing new ideas in the context of a particular problem. On the other hand, there are places where important subjects turn up in unlikely places, such as the only mention of Monte Carlo simulation in a section entitled "Properties of Correlation Functions", and the concept of a potential of mean force which appears only in the section on the Debye-Hückel equation. This also sometimes leads to an uneven level of rigor, giving an impression of trying to cheat a little in order to skip ahead to the good stuff. This is a necessary compromise given the intent of the book, which is clearly an extension of the author's lecture notes and not intended to be an encyclopedic reference.

Overall, there is more material here than would be needed for a single course, leaving ample room to pick and choose among the later topics. A little patchiness towards the end is amply made up for by a number of excellent sections which guide the reader to some interesting and useful results at a level appropriate for a graduate course. The large selection of problems, including many numerical examples, is also greatly appreciated. While not perfect, this book largely lives up to its billing, and I consider it a welcome addition to my collection. It will undoubtedly be getting a lot of mileage.

More Information
*  Citation
Gunn, John. J. Chem. Educ. 1998 75 1217.
*  Keywords
*  History
Created:
Last Updated:
June 21, 1999
June 24, 2005
Full Text PDF corrected (May 2004).
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