1070-4272/01/7408-1427 $25.00 C 2001 MAIK [Nauka/Interperiodica]
Russian Journal of Applied Chemistry, Vol. 74, No. 8, 2001, p. 1427. Translated from Zhurnal Prikladnoi Khimii, Vol. 74, No. 8, 2001,
Original Russian Text Copyright + 2001 by Beloglazov, Morachevskii.
Stiller, W., Uravnenie Arreniusa i neravnovesnaya kinetika
(Arhenius Equation and Nonequilibrium Kinetics),
Translation from English, Moscow: Mir, 2000, 176 pp.
The book is written by a known German physicist
and published in English in connection with the cen-
tennial jubilee of the Arrhenius equation, celebrated
in 1989. In addition to presenting the history of the
equation, the book contains a brief, but informative
treatise of the modern state of the theoretical founda-
tions of nonequilibrium kinetics.
The author considers theoretically and practically
important problems associated with intensively devel-
oping fields of chemistry, physics, physical chemistry,
and chemical technology. Much attention is paid in the
monograph to correct use of concepts and quantities in
considering theoretical and practical problems.
In 1889, Svante August Arrhenius (185931927), an
outstanding physical chemist and, later, a Nobel Prize
winner (1903), published a paper [On Rates of Inver-
sion Reaction in Cane-Sugar under the Action of Ac-
ids] (Z. Phys. Chem., 1889, vol. 4, pp. 2263248)
containing an expression for the reaction rate constant.
This expression became widely known as the Arrhe-
nius equation. At that time Arrhenius worked as as-
sistant of W. Ostwald (185331932) at the physico-
chemical laboratory of Leipzig University.
In a brief foreword, the translation editor (L.S. Po-
lak) and translator (A.V. Khachoyan) noted that by
now the application domain of the famous equation
has expanded considerably. The notion [Arrhenius
kinetics] is used in analyzing and describing a wide
diversity of processes: from stress relaxation in solids
to mass transfer in gas systems.
The book comprises eight chapters, afterword, sup-
plement, and bibliography with 231 references to works
of virtually only foreign authors. The first chapter
(pp. 9324) is a historical essay covering three periods
of the development of chemical kinetics: prior to
Arrhenius’s works (before 1889), the time when his
basic works were published (188931900), and the later
time (before 1950). The author gives a brief charac-
terization of the main directions of physicochemical
kinetics in the first half of the XX century.
The second chapter (pp. 25343) is concerned with
the present state of the Arrhenius kinetics. Primary
attention is given to gas-phase reacting systems. Ion-
molecular and radical-molecular reactions are con-
sidered. Problems encountered in applying the Arrhe-
nius equation to modeling of complex reactions are
discussed, methods for calculating the parameters ap-
pearing in the Arrhenius equation are presented, and
possible cases of deviation from this law are analyzed.
The third chapter (pp. 44369) considers specific
features of equilibrium gas-phase kinetics for the case
of moderately rarefied gases with uniform tempera-
ture. The fourth chapter (pp. 70378) discusses nonequi-
librium gas-phase systems with reactants having dif-
ferent temperatures (two-temperature Arrhenius equa-
tion). The fifth (pp. 79392) and sixth (pp. 933111)
chapters present a mathematical description of the non-
equilibrium kinetics of chemically reacting gas-phase
systems. In the seventh chapter (pp.1123137), the meth-
ods of nonequilibrium kinetics are applied to systems
with nonthermally activated reactions (plasmochem-
istry, radiation chemistry, chemistry of [hot atoms]).
The final, eighth chapter (pp. 1383147) is named
[Prospects of the Arrhenius equation.] The author
discusses the possible future applications of the Arrhe-
nius equation and its modifications in various fields
of physical chemistry, physics, and biology. In the af-
terword to the Russian translation (pp. 1483161), the
editor and translator supplement some concepts of the
monograph, in the first place those concerning open
systems interacting with the environment and exhibit-
ing varied degree of departure from equilibrium, and
give reference to the relevant literature.
The supplement (pp. 1623166) presents evidence
concerning the chronology of Arrhenius’s life and
activities and a list of his basic works.
In a foreword, the editor and translator, justly note
that the book is written in a concise, nearly sketchy
manner and is intended for a trained reader. At the
same time, regarding the nature of the problems dis-
cussed, the monograph may be of interest for a wide
audience of scientists, high-school teachers, and post-
graduate students specialized in chemistry and physics.
I.N. Beloglazov and A.G. Morachevskii