s-net: sqc6181
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| Systre crystallographic geometry file (.cgd) |
Links to this net in other databases
| topcryst |
Topological data
| Vertices per primitive translational unit | 10 |
| Edges per primitive translational unit | 27 |
| Transitivity (vertex,edge) | (3,4) |
| Vertex degrees | {4,6,12} |
| Vertex coordination sequence | [(4, 18, 42, 80, 166, 228, 306, 438, 534, 670), (6, 22, 38, 90, 168, 202, 332, 416, 534, 638), (12, 24, 60, 126, 150, 266, 336, 450, 534, 762)] |
| Wells’ vertex symbol | [3^2.4.5^2.6, 3^4.4^2.5^4.6^5, 3^12.4^12.5^18.6^18.7^6] |
| Systre key | (3, 1, 2, 0, 0, 0, 1, 3, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 1, 0, 0, 1, 5, 0, 0, 0, 1, 6, 0, 0, 0, 2, 4, 0, 0, 0, 2, 6, 0, 1, 0, 2, 7, 0, 0, 0, 3, 4, 0, 0, 0, 3, 5, 0, 0, 1, 3, 8, 0, 0, 0, 4, 5, -1, 0, 0, 4, 6, -1, 0, 0, 4, 7, 0, -1, 0, 4, 7, 0, 0, 0, 4, 8, 0, 0, -1, 4, 8, 0, 0, 0, 4, 9, 0, 0, 0, 4, 10, 0, 0, 0, 5, 8, 1, 0, -1, 6, 7, 1, -1, 0, 7, 9, 0, 0, 0, 7, 10, 0, 1, 0, 8, 9, 0, 0, 1, 8, 10, 0, 0, 0, 9, 10, 0, 1, -1) |
Geometric data
Systre equilibrium placement (barycentric embedding) maximising unit cell volume
Spacegroup: R-3m
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 3.19884 | 3.19884 | 4.29178 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0.3 | 0 |
| 0 | 0.5 | 0.5 |
| 0 | 0 | 0 |
Edge end points:
Systre coordinates favouring equal edge-lengths
Spacegroup: R-3m
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 2.90632 | 2.90632 | 4.82269 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0.33856 | 0 | 0 |
| 0 | 0.5 | 0.5 |
| 0 | 0 | 0 |
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 |
|---|---|---|---|---|---|
 |
hqc1203 | *2626 | (3,4,2) | {4,6,12} | {18.3.3.18}{18.3.3.18.3.3}{3.3.3... |