s-net: sqc7387


 
Systre crystallographic geometry file (.cgd)

Links to this net in other databases

topcryst

Topological data

Vertices per primitive translational unit 18
Edges per primitive translational unit 30
Transitivity (vertex,edge)(2,4)
Vertex degrees {4,3}
Vertex coordination sequence [(4, 10, 20, 32, 52, 84, 116, 136, 169, 218), (3, 7, 17, 34, 53, 72, 102, 143, 180, 216)]
Wells’ vertex symbol [6^2.7^2.9^2, 6.7.8]
Systre key (3, 1, 2, 0, 0, 0, 1, 3, 0, 0, 0, 1, 4, 0, 0, 0, 1, 5, 0, 0, 0, 2, 6, 0, 0, 0, 2, 7, 0, 0, 0, 2, 8, 0, 0, 0, 3, 9, 0, 0, 0, 3, 10, 0, 0, 0, 4, 11, 0, 0, 0, 4, 12, 0, 0, 0, 4, 13, 0, 0, 0, 5, 14, 0, 0, 0, 5, 15, 0, 0, 0, 6, 9, 0, 1, 0, 6, 13, 1, 0, 0, 7, 15, 0, 0, 1, 7, 16, 0, 0, 0, 7, 17, 0, 0, 0, 8, 14, 1, 1, -1, 8, 18, 0, 0, 0, 9, 11, 1, 0, -1, 10, 12, 0, -1, 1, 10, 17, 0, -1, 0, 11, 17, 0, 0, 0, 11, 18, -1, -1, 1, 12, 16, 0, 1, -1, 13, 15, 0, 1, 0, 14, 17, 0, -1, 0, 16, 18, 0, -1, 1)

Geometric data

Systre equilibrium placement (barycentric embedding) maximising unit cell volume

Spacegroup: R-3m

Parameters:

a b c alpha beta gamma
4.1112 4.1112 7.80225 90.0 90.0 120.0

Vertex positions:

X-pos Y-pos Z-pos
0.26667 0.13333 0.04167
0.26667 0 0.20833

Edge end points:

Systre coordinates favouring equal edge-lengths

Spacegroup: R-3m

Parameters:

a b c alpha beta gamma
3.97221 3.97221 7.95441 90.0 90.0 120.0

Vertex positions:

X-pos Y-pos Z-pos
0.25085 0.12542 0.03176
0.00627 0.26429 0.22043

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 hqc1399 *2626 (2,4,4) {3,4} {12.8.6}{6.8.6.8}

h-nets with edge collapse

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