Practical Electron Microscopy and Database

An Online Book, Second Edition by Dr. Yougui Liao (2006)

Practical Electron Microscopy and Database - An Online Book

Chapter/Index: Introduction | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | Appendix

Fd-3 (203) Space Group

Table 1495. Fd-3 (203) space group.

Name in the International Tables for Crystallography
Fd-3 F
202 m-3
Crystal system
Cubic m-3
Asymm
0 ≤ x ≤ 1/2 and 0 ≤ y ≤ 1/4 and -1/4 ≤ z ≤ 1/4 and y ≤ min(x, 1/2-x) and -y ≤ z ≤ y
96 Absence of reflections

 

Translation
 
Symmetry (atomic coordinates)
X, Y, Z; -X, -Y, Z; -X, Y, -Z; X, -Y, -Z; Z, X, Y; Z, -X, -Y; -Z, -X, Y; -Z, X, -Y; Y, Z, X;
-Y, Z, -X; Y, -Z, -X; -Y, -Z, X; 1/4-X, 1/4-Y, 1/4-Z; 1/4+X, 1/4+Y, 1/4-Z; 1/4+X, 1/4-Y, 1/4+Z;
1/4-X, 1/4+Y, 1/4+Z; 1/4-Z, 1/4-X, 1/4-Y; 1/4-Z, 1/4+X, 1/4+Y; 1/4+Z, 1/4+X, 1/4-Y;
1/4+Z, 1/4-X, 1/4+Y; 1/4-Y, 1/4-Z, 1/4-X; 1/4+Y, 1/4-Z, 1/4+X; 1/4-Y, 1/4+Z, 1/4+X;
1/4+Y, 1/4+Z, 1/4-X; X, 1/2+Y, 1/2+Z; -X, 1/2-Y, 1/2+Z; -X, 1/2+Y, 1/2-Z; X, 1/2-Y, 1/2-Z;
Z, 1/2+X, 1/2+Y; Z, 1/2-X, 1/2-Y; -Z, 1/2-X, 1/2+Y; -Z, 1/2+X, 1/2-Y; Y, 1/2+Z, 1/2+X;
-Y, 1/2+Z, 1/2-X; Y, 1/2-Z, 1/2-X; -Y, 1/2-Z, 1/2+X; 1/4-X, 3/4-Y, 3/4-Z; 1/4+X, 3/4+Y, 3/4-Z;
1/4+X, 3/4-Y, 3/4+Z; 1/4-X, 3/4+Y, 3/4+Z; 1/4-Z, 3/4-X, 3/4-Y; 1/4-Z, 3/4+X, 3/4+Y;
1/4+Z, 3/4+X, 3/4-Y; 1/4+Z, 3/4-X, 3/4+Y; 1/4-Y, 3/4-Z, 3/4-X; 1/4+Y, 3/4-Z, 3/4+X;
1/4-Y, 3/4+Z, 3/4+X; 1/4+Y, 3/4+Z, 3/4-X; 1/2+X, Y, 1/2+Z; 1/2-X, -Y, 1/2+Z;
1/2-X, Y, 1/2-Z; 1/2+X, -Y, 1/2-Z; 1/2+Z, X, 1/2+Y; 1/2+Z, -X, 1/2-Y; 1/2-Z, -X, 1/2+Y;
1/2-Z, X, 1/2-Y; 1/2+Y, Z, 1/2+X; 1/2-Y, Z, 1/2-X; 1/2+Y, -Z, 1/2-X; 1/2-Y, -Z, 1/2+X;
3/4-X, 1/4-Y, 3/4-Z; 3/4+X, 1/4+Y, 3/4-Z; 3/4+X, 1/4-Y, 3/4+Z; 3/4-X, 1/4+Y, 3/4+Z;
3/4-Z, 1/4-X, 3/4-Y; 3/4-Z, 1/4+X, 3/4+Y; 3/4+Z, 1/4+X, 3/4-Y; 3/4+Z, 1/4-X, 3/4+Y;
3/4-Y, 1/4-Z, 3/4-X; 3/4+Y, 1/4-Z, 3/4+X; 3/4-Y, 1/4+Z, 3/4+X; 3/4+Y, 1/4+Z, 3/4-X;
1/2+X, 1/2+Y, Z; 1/2-X, 1/2-Y, Z; 1/2-X, 1/2+Y, -Z; 1/2+X, 1/2-Y, -Z; 1/2+Z, 1/2+X, Y;
1/2+Z, 1/2-X, -Y; 1/2-Z, 1/2-X, Y; 1/2-Z, 1/2+X, -Y; 1/2+Y, 1/2+Z, X; 1/2-Y, 1/2+Z, -X;
1/2+Y, 1/2-Z, -X; 1/2-Y, 1/2-Z, X; 3/4-X, 3/4-Y, 1/4-Z; 3/4+X, 3/4+Y, 1/4-Z; 3/4+X, 3/4-Y, Z+1/4;
3/4-X, 3/4+Y, Z+1/4; 3/4-Z, 3/4-X, 1/4-Y; 3/4-Z, 3/4+X, 1/4+Y; 3/4+Z, 3/4+X, 1/4-Y;
3/4+Z, 3/4-X, 1/4+Y; 3/4-Y, 3/4-Z, 1/4-X; 3/4+Y, 3/4-Z, 1/4+X; 3/4-Y, 3/4+Z, 1/4+X;
3/4+Y, 3/4+Z, 1/4-X
Crystal examples