s-net: sqc3908
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| Systre crystallographic geometry file (.cgd) |
Links to this net in other databases
| topcryst |
Topological data
| Vertices per primitive translational unit | 5 |
| Edges per primitive translational unit | 21 |
| Transitivity (vertex,edge) | (3,4) |
| Vertex degrees | {12,8,6} |
| Vertex coordination sequence | [(12, 60, 144, 272, 432, 638, 876, 1158, 1476, 1832), (8, 30, 90, 206, 370, 560, 796, 1064, 1376, 1724), (6, 18, 54, 134, 270, 456, 672, 920, 1218, 1538)] |
| Wells’ vertex symbol | [3^12.4^18.5^27.6^6.7^3, 3^10.4^14.5^4, 3^6.4^6.5^3] |
| Systre key | (3, 1, 1, -1, -1, 0, 1, 1, -1, 0, 0, 1, 1, 0, -1, 0, 1, 2, -1, -1, 1, 1, 2, 0, 0, 0, 1, 3, -1, 0, 1, 1, 3, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 1, 2, 3, 0, 0, 0, 2, 3, 0, 1, 0, 2, 4, 0, 0, 0, 2, 4, 1, 1, 0, 2, 5, -1, 0, 0, 2, 5, 0, 0, 0, 3, 4, 0, 0, 0, 3, 4, 1, 0, 0, 3, 5, -1, -1, 0, 3, 5, 0, 0, 0, 4, 5, -1, -1, 0, 4, 5, -1, 0, 0) |
Geometric data
Systre equilibrium placement (barycentric embedding) maximising unit cell volume
Spacegroup: R-3m
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 1.5281 | 1.5281 | 6.74649 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 0.5 | 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 |
|---|---|---|---|---|---|
| 1.54031 | 1.54031 | 6.61982 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 0.5 | 0.5 |
| 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 |
|---|---|---|---|---|---|
 |
hqc458 | *2626 | (3,4,2) | {12,8,6} | {4.4.4.4.4.4.4.4.4.4.4.4}{4.3.3.... |