s-net: sqc19


 
Systre crystallographic geometry file (.cgd)

Other names

RCSR name fcu
Keywords face-centered cubic lattice, sphere packing
Fisher-Koch-Sowa symbol 12/3/c1

Links to this net in other databases

RCSR topcryst

Topological data

Vertices per primitive translational unit 1
Edges per primitive translational unit 6
Transitivity (vertex,edge)(1,1)
Vertex degrees {12}
Vertex coordination sequence [(12, 42, 92, 162, 252, 362, 492, 642, 812, 1002)]
Wells’ vertex symbol [3^24.4^36.5^6]
Systre key (3, 1, 1, -1, -1, -1, 1, 1, -1, -1, 0, 1, 1, -1, 0, 0, 1, 1, 0, -1, -1, 1, 1, 0, -1, 0, 1, 1, 0, 0, -1)

Geometric data

Systre equilibrium placement (barycentric embedding) maximising unit cell volume

Spacegroup: Fm-3m

Parameters:

a b c alpha beta gamma
1.41421 1.41421 1.41421 90.0 90.0 90.0

Vertex positions:

X-pos Y-pos Z-pos
0 0 0

Edge end points:

Systre coordinates favouring equal edge-lengths

Spacegroup: Fm-3m

Parameters:

a b c alpha beta gamma
1.41421 1.41421 1.41421 90.0 90.0 90.0

Vertex positions:

X-pos Y-pos Z-pos
0 0 0

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 hqc16 *2(12)(12) (1,1,1) {12} {12.12.12.12.12.12.12.12.12.12.1...

h-nets with edge collapse