s-net: sqc6177
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| Systre crystallographic geometry file (.cgd) |
Links to this net in other databases
| topcryst |
Topological data
| Vertices per primitive translational unit | 9 |
| Edges per primitive translational unit | 27 |
| Transitivity (vertex,edge) | (2,5) |
| Vertex degrees | {5,8} |
| Vertex coordination sequence | [(5, 20, 60, 147, 278, 445, 639, 884, 1142, 1465), (8, 36, 100, 212, 354, 530, 746, 990, 1282, 1594)] |
| Wells’ vertex symbol | [3^2.4^2.5^5.6, 3^2.4^4.5^12.6^8.7.8] |
| Systre key | (3, 1, 2, 0, 0, 0, 1, 3, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 1, 0, 1, 5, 0, 0, 0, 1, 5, 1, 0, 0, 1, 6, 0, 0, 0, 1, 7, 0, 0, 0, 2, 3, 0, 0, 0, 2, 4, 0, 0, 1, 2, 7, 0, -1, 1, 2, 8, 0, 0, 0, 3, 5, 0, 0, 1, 3, 6, 0, 0, 1, 3, 9, 0, 0, 0, 4, 5, 0, -1, 2, 4, 5, 1, 0, -2, 4, 7, 0, -1, 1, 4, 8, 0, 0, -1, 4, 9, 1, 0, -2, 5, 6, -1, 0, 1, 5, 8, 0, 1, -2, 5, 9, 0, 0, -1, 6, 7, 0, 0, 0, 6, 8, 1, 1, -3, 7, 9, 1, 1, -3, 8, 9, 0, -1, 2) |
Geometric data
Systre equilibrium placement (barycentric embedding) maximising unit cell volume
Spacegroup: R-3
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 4.11227 | 4.11227 | 1.59268 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0.06667 | 0.23333 | 0.08333 |
| 0.33333 | 0.16667 | 0.16667 |
Edge end points:
Systre coordinates favouring equal edge-lengths
Spacegroup: R-3
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 2.59981 | 2.59981 | 1.13056 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0.17214 | 0.13048 | 0.42973 |
| 0.33333 | 0.16667 | 0.16667 |
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 |
|---|---|---|---|---|---|
 |
hqc1068 | *2626 | (2,4,4) | {5,8} | {6.3.4.4.3}{3.4.6.4.3.4.6.4} |