s-net: sqc6180
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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 | {5,8} |
| Vertex coordination sequence | [(5, 19, 54, 120, 218, 328, 463, 625, 790, 1015), (8, 30, 80, 158, 248, 374, 502, 684, 838, 1090)] |
| Wells’ vertex symbol | [3^2.4^3.5^4.6, 3^2.4^10.5^4.6^8.7^4] |
| Systre key | (3, 1, 2, 0, 0, 0, 1, 3, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 1, 0, 1, 5, 0, 0, 0, 1, 5, 1, 0, 0, 1, 6, 0, 0, 0, 1, 7, 0, 0, 0, 2, 4, 0, 0, 1, 2, 6, 0, 0, 0, 2, 7, 0, -1, 1, 2, 8, 0, 0, 0, 3, 5, 0, 0, 1, 3, 6, -1, 0, 1, 3, 7, 0, 0, 0, 3, 8, -1, 1, 0, 4, 5, 0, -1, 1, 4, 5, 1, 0, -1, 4, 7, 0, -1, 1, 4, 8, 0, 0, -1, 4, 9, 0, 0, 0, 5, 6, -1, 0, 1, 5, 8, -1, 1, -1, 5, 9, 0, 0, 0, 6, 9, 1, 0, -1, 7, 9, 0, 1, -1, 8, 9, 1, 0, 0) |
Geometric data
Systre equilibrium placement (barycentric embedding) maximising unit cell volume
Spacegroup: R-3m
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 3.06472 | 3.06472 | 3.20181 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0.5 | 0.125 |
| 0 | 0.5 | 0.5 |
Edge end points:
Systre coordinates favouring equal edge-lengths
Spacegroup: R-3m
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 3.22016 | 3.22016 | 1.93291 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0.17386 | 0.34772 | 0.08068 |
| 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 |
|---|---|---|---|---|---|
 |
hqc1068 | *2626 | (2,4,4) | {5,8} | {6.3.4.4.3}{3.4.6.4.3.4.6.4} |