|
Prentice Hall: Upper Saddle River, NJ, 2001. xvi
+ 432 pp. Figs., tables. $92.00.
According to its preface, this new book is
intended for a one-semester undergraduate course in
thermal physics, aimed at third- and fourth-year
physics majors. Expecting a stereotypical physicists'
book--long on logical rigor and mathematical
sophistication, short on clarity and physical intuition--I
was pleasantly surprised to find it very accessible
and enjoyable reading. Given the demands of
covering both classical and statistical thermodynamics in
a single semester, I was also somewhat surprised
to find that the two subjects are treated
essentially independently: the classical theory is presented
first (Chapters 1-10), and after a transitional chapter
on the kinetic theory of gases (Chapter 11),
Chapters 12-20 give a more general introduction to
statistical mechanics. Inasmuch as this approach
emphasizes the independence and generality of the
classical theory and also traces the historical order of
development, I think it pedagogically superior to the
more "unified" alternative in which the classical results
are presented as special cases of the more general statistical theory. It does, however, have the notable disadvantage of taking more time, thereby
limiting the number of applications that can be considered
if adequate coverage is to be given to the
fundamentals.
This book generally does a very good job of
laying out the fundamentals, and it also has its share
of interesting and novel material. In particular, there
is an emphasis on real-world implementation of thermodynamic concepts. Examples include
an unusually detailed description of the
experimental determination of temperature scales, a calculation
of hole sizes for which effusion experiments can
be considered quasi static (for a given pressure)
and therefore make use of the Maxwell-Boltzmann velocity distribution, and a discussion of the
similarities and differences between Carnot's
idealized refrigerator and the typical household model.
Likewise, in discussing the third law,
considerable attention is paid to actual laboratory methods,
such as laser cooling and adiabatic demagnetization,
for achieving very low temperatures. More esoteric topics, rarely seen in more
chemistry-oriented books, include a derivation of the cosmic
background spectrum by considering the universe to be
a blackbody at T = 2.735 K and an application
of Fermi-Dirac statistics to explain how an
internal electron-gas pressure prevents the collapse of
white dwarf stars. There is a section devoted to a
detailed consideration of the conditions for mechanical
and thermal stability, and an entire chapter
introducing information theory and its connection to
thermodynamics. The derivations are compact and easy
to follow, and the mathematical level should be
accessible to anyone with a good grasp of basic calculus.
Since this book is intended primarily for physicists,
it is perhaps understandable that the subject of chemical reactions is allotted slightly less than two of its more than 400 pages and that there is no
mention of the concepts of activity and fugacity. A couple
of other omissions are not so easy to understand.
For example, the only mention of fluctuations is in a
brief discussion of the equivalence of ensembles in
the thermodynamic (i.e., large-system) limit. There is
no coverage of the intimate relationship between fluctuations and physical properties, which is
of central importance in so many facets of thermal physics: phase transitions, transport processes, and computer simulations, to name a few. Also, the
idea of ensembles in general is given only minimal coverage. All the detailed analysis is confined to isolated systems consisting of "weakly
interacting" molecules (or phonons, in the case of crystals),
so that the system is effectively a canonical
ensemble whose subsystems are the molecules
themselves. For beginning students, a collection of molecules
is certainly easier to conceptualize than a collection
of states of a many-body system, but exclusive use
of this approach could leave them with the false impression that the applicability of statistical mechanics is limited to such idealized situations.
Along the same lines, greater coverage of classical
statistical mechanics is probably in order, but it should
also be noted that what coverage there is (the chapter
on the kinetic theory of gases) is excellent, especially
in its extremely clear and compact derivation of Maxwell's velocity distribution on the basis of intermolecular collisions.
Most aspects of this book should prove
interesting and helpful to chemistry students. One
notable exception is the use of several nonstandard
(from the perspective of the chemist) conventions
that could be a source of confusion for beginning
students. For example, in strict adherence to the
"MKS" system of units, the unit of amount of substance
is the kilomole (the amount needed to give a mass
in kilograms numerically equal to the molecular weight), so that Avogadro's number is given as
6.02 x 1026 and the gas constant as 8.314 x 103. Also, work is defined on the basis of the system's internal pressure, which leads to the statement that
irreversible processes cannot be represented on a
P-V diagram. Of course this is not the case if work
is defined as in most chemistry texts, in terms of
the external pressure, which can be well defined
even when pressure gradients exist within the
system. The sign convention for work is also opposite that
to which chemists are accustomed: dW =
+PdV (i.e., work is defined in terms of the
surroundings). This leads to the statement of the first law as dU = dQ - dW, which is much less intuitive than the
more familiar alternative. The inverse temperature
employed in statistical mechanics also differs by a
sign from the usual convention. (b is given as identical to -1/kBT.) Finally, a strange definition of "degree of freedom" is used (based on the number of terms in the
Hamiltonian, rather than the number of independent
coordinates needed to specify the configuration) that leads to
the statement that a diatomic molecule has
two vibrational degrees of freedom ("one kinetic and
one potential"). Obviously, this will contradict what
most students learn in their other coursework.
All things considered, there is a lot to like about
this book. While I would not recommend it as stand-alone text for a chemistry-oriented course in thermodynamics--indeed that is not its intended
use--its clear presentation, unusual topics, and
especially the author's ability to develop topics in a minimum
of space merit a place in the library of anyone
who teaches such a course. Also, provided students
are cautioned about the nonstandard aspects noted above, its user-friendly style could make it a nice supplementary reference for physical chemistry
as well as more advanced courses, and therefore a useful addition to any chemistry library.
|