s-net: sqc6123
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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) | (4,4) |
| Vertex degrees | {12,6,3,6} |
| Vertex coordination sequence | [(12, 72, 216, 450, 758, 1172, 1638, 2238, 2856, 3648), (6, 24, 120, 322, 628, 1002, 1482, 2014, 2680, 3364), (3, 12, 32, 143, 358, 683, 1068, 1568, 2106, 2795), (6, 6, 18, 48, 200, 432, 810, 1206, 1758, 2300)] |
| Wells’ vertex symbol | [3^6.4^12.5^15.6^24.8^6.9^3, 4^6.5^5.6^2.7^2, 4^3, 4^6.6^6.7^3] |
| Systre key | (3, 1, 1, -1, -1, 0, 1, 1, -1, 0, 0, 1, 1, 0, -1, 0, 1, 2, -1, -1, 1, 1, 2, 0, 0, 0, 1, 3, -1, 0, 1, 1, 3, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 1, 2, 5, 0, 0, 0, 2, 6, 0, 0, 0, 2, 7, 0, 0, 0, 2, 8, 0, 0, 0, 3, 6, 0, -1, 0, 3, 7, 0, 0, 0, 3, 9, 0, 0, 0, 3, 10, 0, 0, 0, 4, 5, -1, -1, 0, 4, 8, 0, 0, 0, 4, 9, -1, 0, 0, 4, 10, 0, 0, 0, 5, 11, 0, 0, 0, 6, 11, -1, 0, 0, 7, 11, 0, 0, 0, 8, 11, -1, 0, 0, 9, 11, 0, 0, 0, 10, 11, -1, -1, 0) |
Geometric data
Systre equilibrium placement (barycentric embedding) maximising unit cell volume
Spacegroup: R-3m
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 2.17063 | 2.17063 | 8.40681 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 0.5 | 0.5 |
| 0.5 | 0 | 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 |
|---|---|---|---|---|---|
| 1.25748 | 1.25748 | 6.06893 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 0.5 | 0.5 |
| 0.25343 | 0.12671 | 0.35919 |
| 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 |
|---|---|---|---|---|---|
 |
hqc1216 | *2626 | (4,4,2) | {12,6,3,6} | {5.5.5.5.5.5.5.5.5.5.5.5}{5.4.5.... |