s-net: sqc3901
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| Systre crystallographic geometry file (.cgd) |
Links to this net in other databases
| topcryst |
Topological data
| Vertices per primitive translational unit | 8 |
| Edges per primitive translational unit | 21 |
| Transitivity (vertex,edge) | (3,4) |
| Vertex degrees | {18,3,6} |
| Vertex coordination sequence | [(18, 86, 248, 538, 962, 1514, 2194, 3002, 3938, 5002), (3, 34, 135, 375, 747, 1245, 1871, 2625, 3507, 4517), (6, 8, 108, 358, 728, 1226, 1852, 2606, 3488, 4498)] |
| Wells’ vertex symbol | [3^12.4^24.5^48.6^45.7^12.8^12, 3.4.5, 4^6.8^9] |
| Systre key | (3, 1, 1, -2, 1, -1, 1, 1, 0, -1, 0, 1, 1, 0, 0, -1, 1, 2, -2, 1, -1, 1, 2, 0, 0, 0, 1, 3, -2, 1, -1, 1, 3, 0, 0, 0, 1, 4, 0, -1, 0, 1, 4, 0, 0, 0, 1, 5, 0, 0, -1, 1, 5, 0, 0, 0, 1, 6, 0, 0, -1, 1, 6, 0, 0, 0, 1, 7, 0, -1, 0, 1, 7, 0, 0, 0, 2, 8, 0, 0, 0, 3, 8, -1, 0, 0, 4, 8, -1, 1, 0, 5, 8, -1, 0, 0, 6, 8, -2, 1, 0, 7, 8, -2, 1, -1) |
Geometric data
Systre equilibrium placement (barycentric embedding) maximising unit cell volume
Spacegroup: R-3m
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 2.67547 | 2.67547 | 1.7344 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0 | 0 |
| 0.11111 | 0.22222 | 0.38889 |
| 0 | 0 | 0.5 |
Edge end points:
Systre coordinates favouring equal edge-lengths
Spacegroup: R-3m
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 1.93489 | 1.93489 | 1.15912 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0 | 0 |
| 0.16727 | 0.08363 | 0.25552 |
| 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 |
|---|---|---|---|---|---|
 |
hqc501 | *2626 | (3,3,2) | {18,3,6} | {3.8.3.3.8.3.3.8.3.3.8.3.3.8.3.3... |