s-net: sqc6122
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| Systre crystallographic geometry file (.cgd) |
Links to this net in other databases
| topcryst |
Topological data
| Vertices per primitive translational unit | 14 |
| Edges per primitive translational unit | 27 |
| Transitivity (vertex,edge) | (4,5) |
| Vertex degrees | {12,3,3,6} |
| Vertex coordination sequence | [(12, 66, 214, 504, 998, 1722, 2670, 3842, 5238, 6858), (3, 15, 72, 221, 515, 1023, 1767, 2751, 3946, 5365), (3, 9, 32, 119, 352, 806, 1494, 2425, 3564, 4927), (6, 12, 20, 84, 326, 796, 1524, 2464, 3622, 5004)] |
| Wells’ vertex symbol | [4^12.5^12.6^9.7^24.8^6.10^3, 5^2.8, 5.6.7, 6^6.8^6.10^3] |
| Systre key | (3, 1, 1, -2, 1, 1, 1, 1, 0, -1, 0, 1, 1, 0, 0, -1, 1, 2, 0, 0, 0, 1, 3, 0, 0, 0, 1, 4, 0, 0, 0, 1, 5, 0, 0, 0, 1, 6, 0, 0, 0, 1, 7, 0, 0, 0, 2, 8, 0, 0, 0, 2, 9, 0, 0, 0, 3, 10, 0, 0, 0, 3, 11, 0, 0, 0, 4, 9, 0, -1, 0, 4, 12, 0, 0, 0, 5, 11, 0, 0, -1, 5, 13, 0, 0, 0, 6, 8, -2, 1, 1, 6, 12, 0, 0, -1, 7, 10, -2, 1, 1, 7, 13, 0, -1, 0, 8, 14, 0, 0, 0, 9, 14, 0, 1, 0, 10, 14, 1, 0, 0, 11, 14, -1, 1, 1, 12, 14, 0, 0, 1, 13, 14, -1, 1, 1) |
Geometric data
Systre equilibrium placement (barycentric embedding) maximising unit cell volume
Spacegroup: R-3
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 3.66168 | 3.66168 | 2.07224 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0 | 0 |
| 0.20833 | 0.04167 | 0.06667 |
| 0.04167 | 0.20833 | 0.43333 |
| 0 | 0 | 0.5 |
Edge end points:
Systre coordinates favouring equal edge-lengths
Spacegroup: R-3
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 2.2422 | 2.2422 | 1.37332 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0 | 0 |
| 0.04075 | 0.29507 | 0.13286 |
| 0.26139 | 0.2225 | 0.20188 |
| 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 |
|---|---|---|---|---|---|
 |
hqc1220 | *2626 | (4,4,2) | {12,3,3,6} | {5.5.5.5.5.5.5.5.5.5.5.5}{5.8.5}... |