Mathematical Techniques in Crystallography and Materials Science

✍ Scribed by Edward Prince Ph. D. (auth.)

• Publisher: Springer Berlin Heidelberg
• Year: 1994
• Tongue: English
• Leaves: 234
• Category: Library

✦ Synopsis

Crystallographers have to apply many mathematical methods in their daily work. If ever they have a problem, this book will help to solve it. The newcomer starting work will learn how to apply these tools, the practicing crystallographer will find all the data and background material he wants to look up.
In the decade since the first edition was published, new things have happened that required revision beyond correction of errors. Two chapters have been added: a section on the projection matrix and another on fast Fourier Transform. The author collected the information during his professional career. The success of the first edition indicates that many other practicing crystallographers just need exactly that information.

✦ Table of Contents

Front Matter....Pages i-xi
Matrices: Definitions and Fundamental Operations....Pages 1-19
Symmetry of Finite Objects....Pages 20-39
Symmetry of Infinitely Repeated Patterns....Pages 40-48
Vectors....Pages 49-57
Tensors....Pages 58-76
Data Fitting....Pages 77-94
Estimation of Uncertainty....Pages 95-106
Significance and Accuracy....Pages 107-123
Constrained Crystal Structure Refinement....Pages 124-139
The Fast Fourier Transform....Pages 140-156
Back Matter....Pages 157-223

✦ Subjects

Physical Chemistry; Theoretical and Computational Chemistry; Inorganic Chemistry; Mineralogy; Math. Applications in Chemistry; Computational Intelligence