s-net: sqc6118
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| Systre crystallographic geometry file (.cgd) |
Links to this net in other databases
| topcryst |
Topological data
| Vertices per primitive translational unit | 11 |
| Edges per primitive translational unit | 27 |
| Transitivity (vertex,edge) | (4,4) |
| Vertex degrees | {12,6,3,6} |
| Vertex coordination sequence | [(12, 84, 300, 690, 1256, 1998, 2916, 4010, 5280, 6726), (6, 28, 138, 414, 874, 1512, 2322, 3308, 4470, 5808), (3, 13, 45, 204, 554, 1080, 1784, 2660, 3712, 4940), (6, 6, 20, 78, 302, 694, 1302, 2074, 3016, 4134)] |
| Wells’ vertex symbol | [4^12.5^24.6^27.7^3, 4^2.5^9.8^4, 4^2.5, 4^6.6^9] |
| Systre key | (3, 1, 1, -2, -1, 1, 1, 1, 0, -1, 0, 1, 1, 0, 0, -1, 1, 2, -1, -1, 0, 1, 2, 0, 0, 0, 1, 3, -1, -1, 1, 1, 3, 0, 0, 0, 1, 4, -1, 0, 0, 1, 4, 0, 0, 0, 2, 5, 0, 0, 0, 2, 6, 0, 0, 0, 2, 7, 0, 0, 0, 2, 8, 0, 0, 0, 3, 6, -1, 0, 0, 3, 7, 1, 0, -1, 3, 9, 0, 0, 0, 3, 10, 0, 0, 0, 4, 5, -1, -1, 1, 4, 8, 1, 0, -1, 4, 9, 0, -1, 0, 4, 10, 0, 0, 1, 5, 11, 0, 0, 0, 6, 11, 0, 0, 0, 7, 11, -2, -1, 1, 8, 11, -2, -1, 1, 9, 11, -1, 0, 0, 10, 11, -1, -1, 0) |
Geometric data
Systre equilibrium placement (barycentric embedding) maximising unit cell volume
Spacegroup: R-3m
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 3.35952 | 3.35952 | 1.99539 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 0.5 | 0.5 |
| 0.16667 | 0 | 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 |
|---|---|---|---|---|---|
| 2.0192 | 2.0192 | 1.45562 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 0.5 | 0.5 |
| 0 | 0.38311 | 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 |
|---|---|---|---|---|---|
 |
hqc1216 | *2626 | (4,4,2) | {12,6,3,6} | {5.5.5.5.5.5.5.5.5.5.5.5}{5.4.5.... |