# Book Review Symmetry and Structure. Readable Group Theory for Chemists. 2nd edition. By S. F. A. Kettle

код для вставкиСкачатьBOOKS young f x u l t y as well as students”. Walling admits, “I wasn’t as much interested in contact with students as I was in understanding physical phenomena and explaining them to other people”. He won the 1970 James Flack Norris Award in Physical Organic Chemistry. Like many of the other authors in Seeman’s series. Walling summarizes his career in a few words: “To someone of my temperament, being able to pursue my curiosity through research and reading with freedom and adequate support and to receive some recognition for my work have been all I could ask for. I can’t think of anything I’d rather have done ... I’m also conscious of the part that chance (or luck) has played in my career.” This entertaining, informative, and attractively priced volume will be of interest to both present and future generations of students and instructors of chemistry and history of chemistry courses as well as to practicing chemists interested in the humanistic aspects of their science. George B. Kaujfman California State University, Fresno Fresno, CA (USA) Symmetry and Structure. Readable Group Theory for Chemists. 2nd edition. By S. E A . Kettle. Wiley, Chichester, 1995. 416 pp., paperback .E 18.99.-ISBN 0-471-95476-4 This book is intended mainly for chemistry students. The title is rather misleading, as the book is not basically about the symmetry of crystal structures. Instead it is an introductory text concerned with the relationship between the geometrical and electronic structures of molecules and their symmetry. Using the chemical bond as an example. the reader is introduced to group theory in a way that is both unconventional and easy to understand. The book consists of 13 chapters and six appendices. The changes that have been made in this second edition are mainly small, but two additional chapters have been included, on space groups and on spectroscopic studies of crystals. A n g o . Chem. In,. Ed. Engl. 1996. 35. No. 16 Chapter 1 (9 pp.) describes different cusses the occurrence of optical activity. models for the bonding in the ammonia Next, in Chapter 12 (46 pp.), we move molecule. Chapter 2 (25 pp.) contains a from point groups to space groups. The lucid elementary introduction to point chapter deals in turn with the crystal sysgroups, group tables, character tables, tems, the Brdvais lattices, the crystalloand irreducible representations, using the graphic point groups, symmorphic and water molecule as an example. Chapter 3 asymmorphic space groups, Hermann(28 pp.) then deals with the orthonor- Mauguin symbols, and unit cells. The fimality properties of irreducible represen- nal chapter (15 pp.) is devoted to spectrotations, the separation of reducible re- scopic investigations of crystals. The presentations into their irreducible com- author shows that because most of the ponents, transformation properties of phenomena on which spectroscopic meaatomic orbitals, symmetry-adjusted com- surements depend are translationally invariant, one can in general limit the disbinations of orbitals, interactions between bonds, and orbital energy levels; the ex- cussion to the factor groups of the space amples used for illustration are the elec- groups with respect to their translation tronic structure of water and the point subgroups, i.e. to point groups. Appendices 1 and 2, covering 42 pages, group C 2 “ .Chapter 4 (34 pp.) introduces give a brief mathematical introduction to the point group D,, as the direct product of its normal subgroups C , and Ci, then group theory and to the matrix represendiscusses the symmetry of the atomic or- tations of groups. Appendix 3 contains bitals in C,H, and B,H,, the bonding in the character tables of the “most importhese molecules, and the method of pro- tant” point groups, namely I , and Z, Oh, jection operators. In Chapter 5 (26 p ~ . ) 0, TdrThand T , D,,, Do,, D,. C,, and c, (all with 2 5 n 2 6 ) , C,,, C,,, Ci, S,, C, the author takes the symmetry group C,, of BrF, as an example of a fairly complex and C,. Appendix 4 (15 pp.) contains a derivation of the group orbitals with xgroup, and shows how the orthonormality relationships provide a way of system- symmetry for fluorine in SF,. Appendix 5 atically deriving a complete character ( 5 pp.) treats the point groups C,, and table. Chapter 6 (12 pp.) discusses again Czh. Appendix 6 consists of two tables symmetry and bonding in the ammonia listing the Schoenflies and Hermannmolecule. Chapter 7 (42 pp.) is concerned Mauguin symbols for point groups with the symmetry of cubic molecules (ex- alongside each other. With its lucid and unconventional mode ample: SF,) and with octahedral transition metal complexes, and introduces the of presentation the book makes good readpoint groups 0, Oh, and together with ing and is on the whole easily understandtheir character tables. Chapter 8 (1 1 pp.) able. The number of printing errors is not is of a more general nature, dealing with excessive. Unfortunately, however, these the relationships between groups and comments d o not apply to the last two their subgroups and between the irre- chapters which have been added for this ducible representations of a given group second edition, and they are especially unand those of its subgroups. Chapter 9 true in the case of Appendix 6, where there (14 pp.) explains how the symmetry of a is a much higher incidence of errors and molecule is related to its vibrational spec- the presentation is far from clear. Many of trum and introduces the normal modes of the Hermann-Mauguin symbols are garvibration. Chapter 10 (22 pp.) deals with bled in such a way that it is difficult to the important topics of the direct prod- identify the groups. These chapters canucts of irreducible representations, prod- not be recommended to anyone as an inucts of wave-functions, the symmetry of troduction to space groups. They should different electronic configurations, and be either left out completely or thoroughly spectroscopic selection rules. In Chapter rewritten at the earliest opportunity. Elke Koch 11 (18 pp.) the author introduces complex Institut fur Mineralogie, Petrologie characters, illustrated by the relatively und Kristallographie simple example of the x-orbitals of cyder Universitlt Marburg (Germany) clobutadiene with C, symmetry, and dis- Q VCH Verlagsgesellsrhojt mbH, 0-6945I Wernheim, 1996 oS70-0~33196i35is-1~7i $ I5.00f.25’0 1871

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