Origin at 312
| Asymmetric unit |
0 ≤ x ≤ 2/3; 0 ≤ y ≤ 2/3; x ≤ (1 + y)/2; y ≤ min(1 - x, (1 + x)/2); 0 ≤ z |
| Vertices |
| 0, 0 |
1/2, 0 |
2/3, 1/3 |
1/3, 2/3 |
0, 1/2 |
|
| (1) 1 |
(2) 3+ 0, 0, z |
(3) 3- 0, 0, z |
| (4) 2 x, -x, 0 |
(5) 2 x, 2x, 0 |
(6) 2 2x, x, 0 |
Generators selected (1); t(1, 0, 0); t(0, 1, 0); (2); (4)
Multiplicity, Wyckoff letter,
Site symmetry |
Coordinates |
Reflection conditions |
|
| |
|
General:
|
|
|
| (1) x, y, z |
(2) -y, x - y, z |
(3) -x + y, -x, z |
| (4) -y, -x, -z |
(5) -x + y, y, -z |
(6) x, x - y, -z |
|
no conditions |
| |
|
Special: no extra conditions |
|
|
| x, -x, 0 |
x, 2x, 0 |
-(2x), -x, 0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Symmetry of special projections
Along [001] p3m1
a' = a b' = b
Origin at 0, 0, z |
Along [100] ![[script p]](/Ea/entities/small_scriptp.gif) 11m
a' = 1/2(a + 2b)
Origin at x, 0, 0 |
Along [210] 211
a' = 1/2b
Origin at x, 1/2x, 0 |
Maximal non-isotypic subgroups
| I |
[2] p311 (p3, 65) |
1; 2; 3 |
| |
[3] p112 (c211, 10) |
1; 4 |
| |
[3] p112 (c211, 10) |
1; 5 |
| |
[3] p112 (c211, 10) |
1; 6 |
| IIb |
[3] h312 (a' = 3a, b' = 3b) (p321, 68) |
Maximal isotypic subgroups of lowest index
| IIc |
[4] p312 (a' = 2a, b' = 2b) (67) |
Minimal non-isotypic supergroups
| I |
[2] p-31m (71); [2] p622 (76); [2] p-6m2 (78) |
