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Book Review Advances in Quantum Chemistry Vol. 2. Edited by P. O

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nance (34 pp.), and the change in the spectra as a result of
chemical exchange (8 pp.).
The book leans closely on the original literature, with the
result that the mathematically more demanding chapters
often make difficult reading for the beginner. However, as a
guide to the growing literature (more than 1800 references are
given) this book will be useful to anyone who is concerned
H . Dreesknn7p
[NB 524
with nuclear resonance.
Advances in Quantum Chemistry, Vol. 2. Edited by P. 0. Lowdin. Academic Press, Inc.. New York-London 1965. 1st
ed., XI,372 pp.. 79 figures, bound $ 14.50.
Like the first volume of the series, the present volume contains
a collection of reviews on aspects of quantum chemistry
ranging from general theory through ab-initiu calculations to
semiempirical applications. Strictly speaking, not all the
articles are really reviews; for example, the contribution by
Mc Weeny and Steiner o n the theory of “pair-correlated
wave functions” resembles more an original paper.
S . F. Buys and P. Rajagopal, in their article on “Quantum
Calculations”, deal with special problems in numerical nbinitio calculations for small molecules. lnga Fischer-Hjrrlmnrs
reviews earlier work by other authors as well as her own
more recent work on the justification for the neglect of
differential overlap in the theory of x-electron systems. The
theory of the hyperfine structure in atomic spectra (as well
as in ions and complexes) is the subject of the article by
S. M. Blinder, which includes a very extensive bibliography.
Mc Weeny and Seiner discuss the theory of pair-correlated
wave functions, as known from Sihanoglu’s papers, but in
a more rigorous manner within the framework of perturbation theory. In a detailed article on “Quantum Chemistry and Crystal Physics L. Jansen presents an absorbing
illustration of the importance of short range interactions
between threeatoms or ions in the explanation of the relative
stabilitv of various crystal lattices or inert gases and alkali
metal hatides. U . Jehirn discusse? the possible mechanisms
for the enteraction of large molecules under biological
conditions.
Finally, more than one third of the book is taken up by an
article by the editor, P . 0. Luwdin, on “Quantum Genetics
and the Aperiodic Solid”, in which he presents his not
undisputed views o n the relationship between the tunneling
of proteins in nucleic acids and special aspects of heredity.
W. Kutzelnigg
[NB 568 IEI
Chemicai Kinetics in Homogeneous Systems. By M . Ritchie,
Vol. 2 of the Series “University Chemical Texts”. Edited
by T. L. Cuttrell. Oliver & Rovrl. Edinburgh-London 1966.
1st Edit., viii, 115 pp., 9 figures. 21 s (raper 13s6d).
After a short introductory passage on experimental methods
for the determination of reaction orders, simple reactions,
and the temperature-dependence of reaction rates, the author
discusses numerous examples of complex reactions, radiation
and photochemical reactions, and acid and base catalysis in
aqueous solutions. The greatest space is devoted to photochemical reactions. Unfortunate v the modern methods for
the investigation of fast reactions and the results of these
investigations are hardly mentioned. The allthor has attempted to give the mechanisms deduced for the various reactions from the kinetic measurements. It should be remembered, however, that the reaction mechanisms are only an
interpretation of Phe kinetic measurements, and that the
mechanisms are by n o means proved by these measurements.
The intenbion of the author is that this book should occupy a
position midway between a chapter in a general textbook of
physical chemistry and a detailed monograph on kinetics.
This aim is achieved, but little more.
U. Schindewolf
[NB 552 IE]
278
Mathematics for Ouantum Chemistry. By J . M . Anderson.
W. A. Benjamin, Inc., New York-Amsterdam 1966.1st ed.,
x, 154 pp.. several illustrations, S6.00.
A deep understanding of the quantum-mechanical principles
underlying the approximation methods of quantum chemistry
requires a familiarity with mathematical techniques and
concepts that is generally quite difficult to acquire for the
chemist who has not specialized in theoretical chemistry.
Anderson’s “Mathematics for Quantum Chemistry” is a
successful attempt to tackle these difficulties. This short
introduction to the mathematical apparatus that is essential
for the proper application of quantum mechanics to problems of chemistry is based on a course of lectures intended
as a preliminary to a course in quantum mechanics. The
book deals with “orthogonal functions” including Fourier
series and the special functions of Physics (e.g. spherical
harmonics), “linear algehra” including linear operators and
their matrix representation, and contains in a chapter o n
“classical mechanics”, ithe Lagrangtan and Hamiltonian
formulations with brief examples of their applications to
molecular vibrations,and rotatbns.
The presentation is lively and readily comprehensible, and
is supplemented by well-chosen exercises. The occasional
reference to detailed textbooks is entirely in line with the
aim of this book, i.e. to make the abstract world of pure
mathematics more accessible to the chemist. The book can
be strongly recommended as a stimulating introduction to
anyone who wishes to use the methods of quantum mechanics beyond the stage of simple Hiickel calculations.
M. Klessinger [NB 532 IE]
The Chemistry of Open-Chain Organic Nitrogen Compounds.
By P . A . S . Smith. W. A. Benjamin, Inc., New York-Amsterdam. 1st Edit., Vol. 1, 1965; xi, 356 pp., S 21.45;
Vol. 2, 1966: xii, 531 pp., $ 37.50.
Organic nitrogen compounds are treated in textbooks partly
as functional derivatives of inorganic nitrogen compounds,
e.g. amines as substitution products of ammonia, and partly
as derivatives of alcohols, aldehydes, ketones, aad carboxylic
acids (e.g. hydrazines, hydrazones, acid hydrazides).
In the present work, thc former method of classlhcation is
followed throughout. The members of the various classes of
compounds appear as derivatives of ammonia, hydrazine.
hydroxylamine, r t c . ; this is an unusual approach from the
structural point of view, and has the advantage that the
organic chemist can see familiar classes of compounds in a
new light.
The first of the fifteen chapters presents a brief survey of the
inorganic nitrogen compounds o n which the organic derivatives discussed are based. The next six chapters deal with
ammonia derivatives: aliphatic amines, aromatic amines,
amides, nitriles and isonitriies, N-derivatives of carbonic
acid, and ammonia derivatives of aldehydes and ketones.
The second volume begins with hy&roxylamine derivatives,
including the amine oxides; this is followed by hydrazine
derivatives, azides and diazo compoonds, diazonium, azo,
and azoxy compounds, substances naving chains of three or
more nitrogen atoms, C nitsoso compounds, C-nitro compounds, and finally in the last chapter, tne esters and amides
of the 0x0 acids of nitrogen.
The various -Chapters are similar in structure. They start
with a discussion of nomenclature, followed by a summary of
physical properties, and the main part of each chapter is
formed by a clear and systematic treatment of the reactions
of the functional group in question. The most important
syntheses are given at the end of each section.
In scope and structure, this work is a textbook on organic
nitrogen compounds; with its extensive bibliography, which
covers the literature up to the beginning of 1965 (some 2560
references), it offers all the comprehensiveness of a handbook. It enables one to obtain a very quick and thorough
Angew. Clreni. internut. Edit.
1 Vul. 6
(1967)
1 No. 3
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