s-net: sqc6132


  
Barycentric geometry maximising unit cell volume
 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, 184, 396, 696, 1084, 1560, 2124, 2776, 3516), (4, 26, 94, 254, 518, 862, 1294, 1814, 2422, 3118), (4, 8, 26, 93, 254, 511, 862, 1294, 1814, 2422), (6, 6, 14, 78, 216, 484, 840, 1272, 1792, 2400)]
Wells’ vertex symbol [4^24.6^33.8^9, 4.6^4.8, 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, 2, 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, 7, 0, 0, -1, 5, 9, 0, 1, -1, 5, 11, 0, 0, 0, 6, 8, 1, 0, -1, 6, 10, 0, 0, -1, 6, 11, 0, -1, 1, 7, 10, 0, 1, -1, 7, 11, 0, 0, 1, 8, 9, -1, 0, 1, 8, 11, -1, -1, 2, 9, 11, 0, -1, 1, 10, 11, 0, -1, 2)

Geometric data

Systre equilibrium placement (barycentric embedding) maximising unit cell volume

Spacegroup: R-3m

Parameters:

a b c alpha beta gamma
3.82142 3.82142 3.42649 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
1.62218 1.62218 2.5281 90.0 90.0 120.0

Vertex positions:

X-pos Y-pos Z-pos
0 0 0
0 0.5 0
0.22353 0.11177 0.00286
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
Net details hqc1097 *2626 (4,5,2) {12,4,4,6} {6.6.6.6.6.6.6.6.6.6.6.6}{6.6.6....

h-nets with edge collapse

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