s-net: sqc4768
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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 | 24 |
| Transitivity (vertex,edge) | (3,4) |
| Vertex degrees | {18,3,12} |
| Vertex coordination sequence | [(18, 84, 214, 408, 666, 988, 1374, 1824, 2338, 2916), (3, 40, 146, 316, 550, 848, 1210, 1636, 2126, 2680), (12, 60, 178, 360, 606, 916, 1290, 1728, 2230, 2796)] |
| Wells’ vertex symbol | [3^12.4^24.5^72.6^39.7^6, 3.4^2, 4^18.5^30.6^18] |
| Systre key | (3, 1, 1, -1, 0, 0, 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, -1, 0, 2, 8, 0, 0, 0, 3, 8, 0, -1, -1, 3, 8, 0, -1, 0, 4, 8, -1, 0, 0, 4, 8, 0, 0, 0, 5, 8, -1, -1, -1, 5, 8, 0, -1, -1, 6, 8, -1, 0, -1, 6, 8, -1, 0, 0, 7, 8, -1, -1, -1, 7, 8, -1, 0, -1, 8, 8, -1, 0, 0, 8, 8, 0, -1, 0, 8, 8, 0, 0, -1) |
Geometric data
Systre equilibrium placement (barycentric embedding) maximising unit cell volume
Spacegroup: R-3m
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 2.11079 | 2.11079 | 2.98428 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 0.33333 | 0.16667 |
| 0 | 0 | 0.5 |
Edge end points:
Systre coordinates favouring equal edge-lengths
Spacegroup: R-3m
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 2.45553 | 2.45553 | 1.1415 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 0.40225 | 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 |
|---|---|---|---|---|---|
 |
hqc791 | *2626 | (3,4,2) | {18,3,12} | {3.5.3.3.5.3.3.5.3.3.5.3.3.5.3.3... |