s-net: sqc5427
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| Systre crystallographic geometry file (.cgd) |
Links to this net in other databases
| topcryst |
Topological data
| Vertices per primitive translational unit | 13 |
| Edges per primitive translational unit | 24 |
| Transitivity (vertex,edge) | (3,4) |
| Vertex degrees | {3,4,6} |
| Vertex coordination sequence | [(3, 8, 22, 46, 82, 135, 199, 262, 335, 419), (4, 12, 30, 52, 96, 154, 200, 268, 356, 414), (6, 18, 30, 72, 114, 144, 210, 290, 342, 426)] |
| Wells’ vertex symbol | [5^2.7, 5^2.7^2.8.9, 5^6.8^6.9^3] |
| Systre key | (3, 1, 2, 0, 0, 0, 1, 3, 0, 0, 0, 1, 4, 0, 0, 0, 1, 5, 0, 0, 0, 1, 6, 0, 0, 0, 1, 7, 0, 0, 0, 2, 7, 1, 0, 0, 2, 8, 0, 0, 0, 2, 9, 0, 0, 0, 3, 6, 0, 1, 0, 3, 10, 0, 0, 0, 3, 11, 0, 0, 0, 4, 5, 1, -1, 0, 4, 11, 0, 0, 1, 4, 12, 0, 0, 0, 5, 9, -1, 1, 1, 5, 13, 0, 0, 0, 6, 8, 0, -1, -1, 6, 13, 0, 0, 1, 7, 10, 0, -1, -1, 7, 12, -1, 1, 1, 8, 10, 0, 0, 0, 9, 12, 0, 0, 0, 11, 13, 0, 0, 0) |
Geometric data
Systre equilibrium placement (barycentric embedding) maximising unit cell volume
Spacegroup: R-3m
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 3.82168 | 3.82168 | 5.0355 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0.42105 | 0 |
| 0 | 0.31579 | 0.5 |
| 0 | 0 | 0.5 |
Edge end points:
Systre coordinates favouring equal edge-lengths
Spacegroup: R-3m
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 3.00013 | 3.00013 | 5.9999 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0.33335 | 0 |
| 0 | 0.33333 | 0.16667 |
| 0 | 0 | 0.5 |
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 |
|---|---|---|---|---|---|
 |
hqc776 | *2626 | (3,4,2) | {3,4,6} | {5.18.5}{5.5.18.18}{5.5.5.5.5.5} |