Lipson H., Cochran W. The Crystalline State-Vol. III: The Determination of Crystal Structures

London: G. Bell and Sons LTD. – 1953. – 364 p. The scope of this book is quite simply defined; we have tried to cover the subject of crystal-structure determination from the stage at which a set of structure amplitudes has been obtained to the final accurate positioning of the atoms. Some of the steps — such as the calculation of structure factors and the summation of Fourier series — are routine ones, and are described first, but the last five chapters are concerned with the more difficult problems of the derivation of atomic positions, and in these chapters we have attempted to preserve some degree of logical order in the treatment. Nevertheless, we have emphasized throughout the book that each problem requires individual treatment, and that no single sequence of methods is likely to prove universally successful. Two main classes of reader have been kept in mind — the beginner who has to find his way through the various procedures that he is expected to carry out, and the more advanced worker who wishes to have a resume of the possible approaches to his own problem. To assist both these classes of reader, we have, throughout the book, adopted the principle of giving practical examples of the processes described; often these examples consist of a simple one designed to bring out the essential points and a more complicated one from an actual research project. In this way, we hope that we have preserved a sense of reality in the subjects treated.X-Ray Optics
Determination and Use of Space Groups
Calculation of Structure Factors
Summation of Fourier Series
Trial-And-Error Methods
The Use of the Patterson Function
Fourier Methods
Direct Methods
The Accuracy of a Crystal-Structure
Determination
Tables of Wave-Lengths in Angstrom Units
Radii of the Elements
Transformation of Axes and Atomic Parameters
Arrangement of Space-Group Data in the International Tables (1935)
Arrangement of Space-Group Data in the
International Tables (1952)
Structure-Factor Machines and Devices
cos 2pix and sin 2pix
Fourier Machines
Standardization of Crystal-Structure Models
References and Name Index