s-net: sqc2801
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Barycentric geometry maximising unit cell volume
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Systre crystallographic geometry file (.cgd) |
Links to this net in other databases
| topcryst |
Topological data
| Vertices per primitive translational unit | 7 |
| Edges per primitive translational unit | 18 |
| Transitivity (vertex,edge) | (2,3) |
| Vertex degrees | {12,4} |
| Vertex coordination sequence | [(12, 24, 68, 108, 180, 248, 348, 444, 572, 696), (4, 24, 54, 112, 168, 252, 336, 448, 560, 700)] |
| Wells’ vertex symbol | [4^12.6^36.8^18, 4^4.6^2] |
| Systre key | (3, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 3, 0, 0, 0, 1, 4, 0, 0, 0, 2, 3, -1, 0, -1, 2, 3, 0, 1, 0, 2, 4, 0, 0, 1, 2, 4, 0, 1, 0, 2, 5, -1, -1, -1, 2, 5, 0, 0, 0, 2, 6, 0, 0, 0, 2, 6, 1, 0, 0, 2, 7, 0, -1, 1, 2, 7, 0, 0, 0, 3, 7, 0, -1, 1, 4, 5, -1, -1, -1, 5, 6, 1, 0, 1, 6, 7, 0, 0, 1) |
Geometric data
Systre equilibrium placement (barycentric embedding) maximising unit cell volume
Spacegroup: R-3m
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 3.10516 | 3.10516 | 2.03328 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0 | 0 |
| 0.11111 | 0.22222 | 0.44444 |
Edge end points:
Systre coordinates favouring equal edge-lengths
Spacegroup: R-3m
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 2.94904 | 2.94904 | 0.75205 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0 | 0 |
| 0.28324 | 0.14162 | 0.05557 |
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 |
|---|---|---|---|---|---|
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hqc246 | *2626 | (2,2,3) | {4,12} | {6.6.4.6}{6.4.6.4.6.4.6.4.6.4.6.4} |
h-nets with edge collapse
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