Space Groups and Their Representations
- 1st Edition - January 1, 1957
- Imprint: Academic Press
- Author: Gertjan Koster
- Language: English
- Paperback ISBN:9 7 8 - 0 - 1 2 - 4 3 3 7 8 4 - 8
- eBook ISBN:9 7 8 - 0 - 3 2 3 - 1 6 1 1 7 - 6
Space Groups and Their Representations focuses on the discussions on space groups and their corresponding numerical and analytical representations. Divided into six chapters, the… Read more
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Request a sales quoteSpace Groups and Their Representations focuses on the discussions on space groups and their corresponding numerical and analytical representations. Divided into six chapters, the book starts with the presentation of the nature and properties of space groups. This topic includes orthogonal transformations and Bravais lattices, such as cubic system, triclinic system, trigonal and hexagonal systems, monoclinic systems, and tetragonal systems. The book then proceeds with the discussion on the irreducible representations of space groups, and then covers the general theory, simplification, and introduction. Discussions on various examples of space groups are given in the third chapter. Numerical representations are provided to support the validity of the different space groups, including discussions on double groups. The book also points out that the irreducible representation of space groups and the application of representation theory to them manifest the latest developments on geometrical crystallography. The text is a vital source of data for scholars and readers who are interested to study space groups and crystallography.
I. Nature and Properties of the Space Groups 1. Orthogonal Transformations 2. Space Groups 3. Point Groups 4. Bravais Lattices a. Cubic System b. Tetragonal System c. Orthorhombic System d. Monoclinic System e. Triclinic System f. Trigonal and Hexagonal Systems II. Irreducible Representations of Space Groups 1. Introduction 2. General Theory 3. Simplifications III. Examples 1. Simple Cubic Oλ1 a. General Point b. General Points in a Symmetry Plane 2. Body-Centered Cubic Oλ9 a. General Point on the Surface 3. Face-Centered Cubic Oλ5 a. General Point on the Surface 4. Zincblende Structure Td2 a. General Point b. General Point on a Symmetry Plane 5. Diamond Structure Oλ7 a. General Point b. General Points on Symmetry Planes 6. Hexagonal Close-Packed D6λ4 a. General Point IV. Double Groups 1. GeneralV. Time Reversal VI. History
- Edition: 1
- Published: January 1, 1957
- No. of pages (eBook): 88
- Imprint: Academic Press
- Language: English
- Paperback ISBN: 9780124337848
- eBook ISBN: 9780323161176
GK
Gertjan Koster
Gertjan Koster is a Professor at the University of Twente in the Netherlands. He is also a visiting professor at the Joseph Stephan Institute in Slovenia. His current research focuses on the growth and study of artificial materials, the physics of reduced scale (nanoscale) materials, metal–insulator transitions, and in situ spectroscopic characterization.
Affiliations and expertise
Professor, MESA+ Institute for Nanotechnology,University of Twente, Enschede, The NetherlandsRead Space Groups and Their Representations on ScienceDirect