s-net: sqc3910
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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) | (3,3) |
| Vertex degrees | {12,3,12} |
| Vertex coordination sequence | [(12, 54, 138, 240, 378, 536, 768, 966, 1248, 1506), (3, 30, 56, 172, 271, 476, 654, 908, 1135, 1470), (12, 12, 84, 120, 300, 464, 672, 882, 1194, 1434)] |
| Wells’ vertex symbol | [3^6.4^12.5^27.6^12.8^9, 4^3, 4^12.5^24.6^12.7^18] |
| Systre key | (3, 1, 1, -1, -1, 0, 1, 1, -1, 0, 0, 1, 1, 0, -1, 0, 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, -1, 0, 0, 2, 8, 0, 0, 0, 3, 8, -1, -1, 0, 3, 8, 0, 0, 0, 4, 8, -1, -1, 0, 4, 8, -1, 0, 0, 5, 8, 0, -1, 1, 5, 8, 0, 0, 1, 6, 8, -1, -1, 1, 6, 8, 0, 0, 1, 7, 8, -1, -1, 1, 7, 8, 0, -1, 1) |
Geometric data
Systre equilibrium placement (barycentric embedding) maximising unit cell volume
Spacegroup: R-3m
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 1.52043 | 1.52043 | 8.11552 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0 | 0 |
| 0.22222 | 0.11111 | 0.11111 |
| 0 | 0 | 0.5 |
Edge end points:
Systre coordinates favouring equal edge-lengths
Spacegroup: R-3m
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 1.00582 | 1.00582 | 8.65975 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0 | 0 |
| 0.21378 | 0.10689 | 0.43929 |
| 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 |
|---|---|---|---|---|---|
 |
hqc546 | *2626 | (3,3,2) | {12,3,12} | {5.5.5.5.5.5.5.5.5.5.5.5}{5.4.5}... |