s-net: sqc6144
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| Systre crystallographic geometry file (.cgd) |
Links to this net in other databases
| topcryst |
Topological data
| Vertices per primitive translational unit | 9 |
| Edges per primitive translational unit | 27 |
| Transitivity (vertex,edge) | (2,4) |
| Vertex degrees | {3,12} |
| Vertex coordination sequence | [(3, 18, 73, 182, 332, 534, 758, 1070, 1360, 1790), (12, 54, 148, 286, 472, 686, 980, 1262, 1672, 2014)] |
| Wells’ vertex symbol | [3.4^2, 3^12.4^20.5^22.6^10.7^2] |
| Systre key | (3, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 3, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 1, 0, 1, 4, 1, 0, 0, 1, 4, 1, 1, 0, 1, 5, 0, 0, 0, 1, 6, 0, 0, 0, 1, 7, 0, 0, 0, 2, 3, 0, 0, 0, 2, 4, 0, 0, -1, 2, 4, 0, 0, 0, 2, 4, 0, 1, -1, 2, 4, 0, 1, 0, 2, 7, -1, 0, -1, 2, 8, 0, 0, 0, 2, 9, 0, 0, 0, 3, 7, 0, 0, -1, 4, 5, -1, 0, 0, 4, 6, 0, -1, 0, 4, 8, 0, -1, 1, 4, 9, 0, 0, 0, 5, 6, 0, -1, 0, 8, 9, 0, 1, 0) |
Geometric data
Systre equilibrium placement (barycentric embedding) maximising unit cell volume
Spacegroup: R-3m
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 2.73787 | 2.73787 | 3.13574 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0.375 | 0 |
| 0 | 0.5 | 0.5 |
Edge end points:
Systre coordinates favouring equal edge-lengths
Spacegroup: R-3m
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 1.92603 | 1.92603 | 2.44296 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0.26765 | 0 |
| 0 | 0.5 | 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 |
|---|---|---|---|---|---|
 |
hqc1077 | *2626 | (2,4,4) | {12,3} | {6.3.4.6.4.3.6.3.4.6.4.3}{3.4.4} |