2024•Thermal EngineeringRequires access
Chapter 2 Basic concepts
Lin Qiu, Yanhui Feng
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Abstract
Part 8 provides the theoretical background to the data in the tables and diagrams of Volume A. In Chapter 8.1, the basic concepts are treated, such as point and vector spaces; motions (isometries) and their description by matrices and augmented matrices; crystal patterns (as mathematical models of ideal crystals) with their point and vector lattices; crystallographic symmetry operations and symmetry groups as well as space groups (as symmetry groups of crystal patterns), point groups (as symmetry groups of macroscopic crystals) and their relations.
Keywords:
symmetry;
space groups;
point groups;
cosets;
coset decomposition;
crystal classes;
motions;
symmetry operations;
symmetry groups;
vector lattices;
point lattices;
crystal patterns;
unit cell;
symmetry elements