s-net: sqc8563
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| Systre crystallographic geometry file (.cgd) |
Links to this net in other databases
| topcryst |
Topological data
| Vertices per primitive translational unit | 17 |
| Edges per primitive translational unit | 36 |
| Transitivity (vertex,edge) | (5,5) |
| Vertex degrees | {6,4,3,4,12} |
| Vertex coordination sequence | [(6, 18, 24, 72, 98, 246, 204, 440, 438, 822), (4, 10, 36, 50, 136, 142, 340, 306, 616, 548), (3, 15, 26, 87, 92, 221, 234, 489, 420, 785), (4, 24, 36, 124, 128, 294, 292, 576, 496, 906), (12, 18, 72, 90, 218, 218, 444, 402, 750, 642)] |
| Wells’ vertex symbol | [6^6.8^6.10^3, 4^2.6^4, 4^2.6, 4^4.6^2, 4^12.6^30.8^18.10^6] |
| Systre key | (3, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 3, 0, 0, 0, 1, 4, 0, 0, 0, 1, 5, 0, 0, 0, 1, 5, 0, 1, 0, 1, 6, 0, 0, 0, 1, 7, 0, 0, 0, 1, 7, 1, 0, 0, 1, 8, 0, 0, 0, 1, 9, 0, 0, 0, 1, 10, 0, 0, 0, 2, 11, 0, 0, 0, 2, 12, 0, 0, 0, 3, 11, 0, 0, 0, 3, 13, 0, 0, 0, 4, 12, 0, 0, 0, 4, 14, 0, 0, 0, 5, 13, 0, 0, 0, 5, 15, 0, 0, 0, 6, 14, -1, 0, 0, 6, 15, 0, 0, 0, 7, 14, -1, 0, 0, 7, 16, 0, 0, 0, 8, 13, 0, 1, 0, 8, 16, 1, 0, 0, 9, 11, 0, 0, 1, 9, 16, 0, 0, 0, 10, 12, 0, 0, 1, 10, 15, 0, 1, 0, 11, 17, 0, 0, 0, 12, 17, 1, 1, 0, 13, 17, 1, 0, 0, 14, 17, 1, 0, 0, 15, 17, 0, 0, 1, 16, 17, 0, 1, 1) |
Geometric data
Systre equilibrium placement (barycentric embedding) maximising unit cell volume
Spacegroup: R-3m
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 3.77194 | 3.77194 | 5.02211 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 0.31818 | 0 |
| 0 | 0.22727 | 0.5 |
| 0 | 0.5 | 0 |
| 0 | 0 | 0.5 |
Edge end points:
Systre coordinates favouring equal edge-lengths
Spacegroup: R-3m
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 4.09753 | 4.09753 | 2.54976 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 0.23089 | 0 |
| 0 | 0.2025 | 0.5 |
| 0 | 0.5 | 0 |
| 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 |
|---|---|---|---|---|---|
 |
hqc2082 | *2626 | (5,5,2) | {6,4,3,4,12} | {8.8.8.8.8.8}{8.4.4.8}{8.4.4}{4.... |