s-net: sqc4184
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| Systre crystallographic geometry file (.cgd) |
Links to this net in other databases
| topcryst |
Topological data
| Vertices per primitive translational unit | 12 |
| Edges per primitive translational unit | 22 |
| Transitivity (vertex,edge) | (4,6) |
| Vertex degrees | {3,4,4,4} |
| Vertex coordination sequence | [(3, 6, 12, 28, 60, 131, 226, 353, 526, 698), (4, 12, 36, 84, 150, 266, 410, 578, 778, 1002), (4, 8, 18, 40, 88, 170, 268, 410, 584, 772), (4, 12, 28, 64, 132, 222, 356, 506, 700, 910)] |
| Wells’ vertex symbol | [4^2.6, 7^4.10.12, 4^2.6.7^2.9, 7^4.9.12] |
| Systre key | (3, 1, 1, -1, 0, 0, 1, 2, 0, 0, 0, 1, 3, 0, 0, 0, 2, 4, 0, 0, 0, 2, 5, 0, 0, 0, 2, 6, 0, 0, 0, 3, 5, 0, 1, 0, 3, 7, 0, 0, 0, 3, 8, 0, 0, 0, 4, 6, 0, 0, 1, 4, 9, 0, 0, 0, 4, 10, 0, 0, 0, 5, 5, -1, 0, 1, 6, 11, 0, 0, 0, 6, 12, 0, 0, 0, 7, 8, -2, 0, 1, 7, 10, -1, 0, 0, 7, 11, -1, 1, 1, 8, 9, 1, 1, -1, 8, 12, 1, 0, 0, 9, 11, 0, 0, 1, 10, 12, 0, 0, 1) |
Geometric data
Systre equilibrium placement (barycentric embedding) maximising unit cell volume
Spacegroup: P4222
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 2.23897 | 2.23897 | 3.44719 | 90.0 | 90.0 | 90.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0.05556 | 0 |
| 0.5 | 0.5 | 0 |
| 0.11111 | 0.11111 | 0.25 |
| 0.5 | 0.5 | 0.25 |
Edge end points:
Systre coordinates favouring equal edge-lengths
Spacegroup: P4222
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 1.10416 | 1.10416 | 3.90659 | 90.0 | 90.0 | 90.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0.54412 | 0 |
| 0.5 | 0.5 | 0 |
| 0.19387 | 0.19387 | 0.25 |
| 0.5 | 0.5 | 0.25 |
Edge end points:
Hyperbolic sources
h-nets with faithful topology
1 record listed.| Image | h-net name | Orbifold symbol | Transitivity (Vert,Edge,Face) | Vertex Degree | 2D Vertex Symbol |
|---|---|---|---|---|---|
 |
hqc1787 | *22222 | (4,6,2) | {4,4,4,3} | {7.7.7.7}{7.7.7.7}{7.4.4.7}{7.4.4} |