s-net: sqc6130
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| Systre crystallographic geometry file (.cgd) |
Links to this net in other databases
| topcryst |
Topological data
| Vertices per primitive translational unit | 11 |
| Edges per primitive translational unit | 27 |
| Transitivity (vertex,edge) | (4,5) |
| Vertex degrees | {12,4,4,6} |
| Vertex coordination sequence | [(12, 60, 182, 392, 690, 1076, 1550, 2112, 2762, 3500), (4, 26, 94, 250, 512, 854, 1284, 1802, 2408, 3102), (4, 8, 26, 95, 252, 501, 854, 1284, 1802, 2408), (6, 6, 12, 62, 180, 396, 740, 1148, 1644, 2228)] |
| Wells’ vertex symbol | [4^24.6^33.8^9, 4.6^4.10, 3^2.4.6^3, 3^6.4^6.5^3] |
| Systre key | (3, 1, 1, -1, -1, 1, 1, 1, 0, -1, 1, 1, 1, 0, 0, -1, 1, 2, -1, -1, 0, 1, 2, 0, 0, 0, 1, 3, 0, -1, 0, 1, 3, 0, 0, 0, 1, 4, -1, 0, 0, 1, 4, 0, 0, 0, 2, 5, 0, 0, 0, 2, 6, 0, 0, 0, 3, 7, 0, 0, 0, 3, 8, 0, 0, 0, 4, 9, 0, 0, 0, 4, 10, 0, 0, 0, 5, 8, 1, 1, -1, 5, 10, 0, 1, -1, 5, 11, 0, 0, 0, 6, 7, 0, -1, 1, 6, 9, 0, 0, 1, 6, 11, 0, -1, 1, 7, 10, 0, 1, -1, 7, 11, 0, 0, 0, 8, 9, -1, 0, 1, 8, 11, -1, -1, 1, 9, 11, 0, -1, 0, 10, 11, 0, -1, 1) |
Geometric data
Systre equilibrium placement (barycentric embedding) maximising unit cell volume
Spacegroup: R-3m
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 3.08215 | 3.08215 | 5.33882 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 0.5 | 0 |
| 0.05556 | 0.11111 | 0.47222 |
| 0 | 0 | 0.5 |
Edge end points:
Systre coordinates favouring equal edge-lengths
Spacegroup: R-3m
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 1.75833 | 1.75833 | 2.37591 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 0.5 | 0 |
| 0.01858 | 0.03717 | 0.03803 |
| 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 |
|---|---|---|---|---|---|
 |
hqc1097 | *2626 | (4,5,2) | {12,4,4,6} | {6.6.6.6.6.6.6.6.6.6.6.6}{6.6.6.... |