s-net: sqc3906
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| Systre crystallographic geometry file (.cgd) |
Links to this net in other databases
| topcryst |
Topological data
| Vertices per primitive translational unit | 7 |
| Edges per primitive translational unit | 21 |
| Transitivity (vertex,edge) | (2,3) |
| Vertex degrees | {18,4} |
| Vertex coordination sequence | [(18, 78, 168, 312, 492, 678, 966, 1266, 1532, 1980), (4, 32, 130, 259, 432, 657, 890, 1183, 1544, 1873)] |
| Wells’ vertex symbol | [3^18.4^42.5^45.6^42.7^6, 3.4^3.5^2] |
| Systre key | (3, 1, 1, -1, -1, 0, 1, 1, -1, 0, 0, 1, 1, 0, -1, 0, 1, 2, -1, -1, 0, 1, 2, 0, 0, 0, 1, 3, 0, -1, 0, 1, 3, 0, 0, 0, 1, 4, -1, 0, 0, 1, 4, 0, 0, 0, 1, 5, -1, -1, 0, 1, 5, 0, 0, 0, 1, 6, 0, -1, 0, 1, 6, 0, 0, 0, 1, 7, -1, 0, 0, 1, 7, 0, 0, 0, 2, 6, 0, 0, 1, 2, 7, -1, 0, 1, 3, 5, -1, 0, 1, 3, 7, -1, 0, 1, 4, 5, -1, -1, 1, 4, 6, 0, -1, 1) |
Geometric data
Systre equilibrium placement (barycentric embedding) maximising unit cell volume
Spacegroup: R-3m
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 1.53441 | 1.53441 | 5.79328 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0 | 0 |
| 0.11111 | 0.22222 | 0.44444 |
Edge end points:
Systre coordinates favouring equal edge-lengths
Spacegroup: R-3m
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 1.00554 | 1.00554 | 8.05613 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0 | 0 |
| 0.17203 | 0.34406 | 0.22617 |
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 |
|---|---|---|---|---|---|
 |
hqc409 | *2626 | (2,3,3) | {4,18} | {6.6.3.6}{6.3.3.6.3.3.6.3.3.6.3.... |