Mathematical Techniques in Chrystallography and Materials Science

✍ Scribed by Edward Prince (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2004
• Tongue: English
• Leaves: 235
• Edition: 3
• Category: Library

✦ Synopsis

Crystallographers have to apply many mathematical methods in their daily work. "Mathematical Techniques in Crystallography and Materials Science" brings together common and less familiar mathematical procedures used in studies of the structures and physical properties of solids. This practical guide and reference serves as a unified source book for students and professionals, and it provides a solid basis for further studies in more specialized literature. Based Prince’s decades of practical experience, it can be recommended as an introduction for beginners in crystallography, as a refresher and handy guide for crystallographers working on specific problems, and as a reference for others seeking a dictionary of basic mathematical and crystallographic terms. The third edition further clarifies key points.

✦ 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 157-224

✦ Subjects

Physical Chemistry; Inorganic Chemistry; Math. Applications in Chemistry; Characterization and Evaluation of Materials; Earth Sciences, general; Mineralogy