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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