Electron microscopy
 
R-3c (167) Space Group
- Practical Electron Microscopy and Database -
- An Online Book -
Microanalysis | EM Book                                                                                   http://www.globalsino.com/EM/        

This book (Practical Electron Microscopy and Database) is a reference for TEM and SEM students, operators, engineers, technicians, managers, and researchers.
=================================================================================

 

Table 3006. R-3c (167) space group.

Name in the International Tables for Crystallography
R-3c R
166 -3m
Crystal system
Trigonal -3m
36 Example of forbidden reflections in electron diffraction patterns {1 -1 0 0} reflections
Asymm
0 ≤ x ≤ 2/3 and 0 ≤ y ≤ 2/3 and 0 ≤ z ≤ 1/12 and x ≤ (1+y)/2 and y ≤ min(1-x, (1+x)/2)
Symmetry (atomic coordinates)
X, Y, Z; -Y, X-Y, Z; Y-X, -X, Z; Y, X, 1/2-Z; X-Y, -Y, 1/2-Z; -X, Y-X, 1/2-Z; -X, -Y, -Z; Y, Y-X, -Z; X-Y, X, -Z; -Y, -X, 1/2+Z; Y-X, Y, 1/2+Z; X, X-Y, 1/2+Z; 2/3+X, 1/3+Y, 1/3+Z; 2/3-Y, 1/3+X-Y, 1/3+Z; 2/3+Y-X, 1/3-X, 1/3+Z; 2/3+Y, 1/3+X, 5/6-Z; 2/3+X-Y, 1/3-Y, 5/6-Z; 2/3-X, 1/3+Y-X, 5/6-Z; 2/3-X, 1/3-Y, 1/3-Z; 2/3+Y, 1/3+Y-X, 1/3-Z; 2/3+X-Y, 1/3+X, 1/3-Z; 2/3-Y, 1/3-X, 5/6+Z; 2/3+Y-X, 1/3+Y, 5/6+Z; 2/3+X, 1/3+X-Y, 5/6+Z; 1/3+X, 2/3+Y, 2/3+Z; 1/3-Y, 2/3+X-Y, 2/3+Z; 1/3+Y-X, 2/3-X, 2/3+Z; 1/3+Y, 2/3+X, 1/6-Z; 1/3+X-Y, 2/3-Y, 1/6-Z; 1/3-X, 2/3+Y-X, 1/6-Z; 1/3-X, 2/3-Y, 2/3-Z; 1/3+Y, 2/3+Y-X, 2/3-Z; 1/3+X-Y, 2/3+X, 2/3-Z; 1/3-Y, 2/3-X, 1/6+Z; 1/3+Y-X, 2/3+Y, 1/6+Z; 1/3+X, 2/3+X-Y, 1/6+Z
Crystal examples

VF3 (vanadium fluoride): V at 0, 0, 0 and F at 2/5, 0, 1/4.
Al2O3: Al at 0, 0, 0.355 and O at 0.303, 0, 0.25.
Centrosymmetric materials: lithium niobate (LiNBO3) and lithium tantalate (LiTaO3).

 

 

 

=================================================================================
The book author (Yougui Liao) welcomes your comments, suggestions, and corrections, please click here for submission. If you let book author know once you have cited this book, the brief information of your publication will appear on the “Times Cited” page.