|
Axes |
Coordinates |
Wyckoff positions |
|
|
|
4a |
8b |
16c |
| I Maximal translationengleiche subgroups |
| [2] I41 (80) |
|
|
4a |
8b |
2 × 8b |
| [2] Imm2 (44) |
|
|
2a; 2b |
4c; 4d |
2 × 8e |
| [2] Fdd2 (43) |
a + b, -a + b, c |
(1/2)(x + y), (1/2)(-x + y), z |
8a |
16b |
2 × 16b |
| II Maximal klassengleiche subgroups |
| Enlarged unit cell, isomorphic |
| [3] I41md |
b, -a, 3c |
y, -x, (1/3)z; ±(0, 0, (1/3)) |
3 × 4a |
3 × 8b |
3 × 16c |
| [p] I41md |
b, -a, pc |
y, -x, (1/p)z; +(0, 0, (u/p)) |
p × 4a |
p × 8b |
p × 16c |
|
p = prime = 4n - 1; u = 1, . . ., p - 1 |
|
|
|
| [5] I41md |
a, b, 5c |
x, y, (1/5)z; ±(0, 0, (1/5)); ±(0, 0, (2/5)) |
5 × 4a |
5 × 8b |
5 × 16c |
| [p] I41md |
a, b, pc |
x, y, (1/p)z; +(0, 0, (u/p)) |
p × 4a |
p × 8b |
p × 16c |
|
p = prime = 4n + 1; u = 1, . . ., p - 1 |
|
|
|
| [9] I41md |
3a, 3b, c |
(1/3)x, (1/3)y, z; ±((1/3), 0, 0); |
4a; 2 × 8b; 16c |
3 × 8b; 3 × 16c |
9 × 16c |
|
|
±(0, (1/3), 0); ±((1/3), (1/3), 0); ±((1/3), (2/3), 0) |
|
|
|
| [p2] I41md |
pa, pb, c |
(1/p)x, (1/p)y, z; +((u/p), (v/p), 0) |
4a; (p - 1) × 8b; |
p × 8b; |
p2 × 16c |
|
p = prime > 2; u, v = 1, . . ., p - 1 |
(1/4)(p - 1)2 × 16c |
(1/2)p(p - 1) × 16c |
|
