Net topology

epw

Ingested production record from rcsr+mofplus. Per-field provenance in field_sources.

JSON · mfpx

128 vertices and 288 edges in the unit cell. 99 of them leave the cell and continue into a neighbouring one; those are drawn in the accent colour and end at a hollow node. Squares are vertices of coordination 5 or more, circles of 4 or fewer. Drag to rotate, or focus the figure and use the arrow keys.

Crystallographic description

Spacegroup
Fd-3m (No. 227)
Cell lengths
a = 4.8990 Å, b = 4.8990 Å, c = 4.8990 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
128
Transitivity pqrs
3, 2, *, *
Catenated
no
No, computed from the graph of the net itself rather than read off its name: mofpp.periodicity v1 finds a single copy, so it is not interpenetrated on the MOF+ deposit, the graph of the uploaded topology file. Interpenetration is counted here as the number of separate copies of the net that share one repeat unit, so this is a measurement of the topology and not a marker in a string.

Canonical key

Systre key
3 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 1 5 0 0 0 1 6 0 0 0 1 7 0 0 0 1 8 0 0 0 1 9 0 0 0 1 10 0 0 0 1 11 0 0 0 1 12 0 0 0 1 13 0 0 0 2 14 0 0 0 2 15 0 0 0 3 14 0 0 0 3 16 0 0 0 4 15 0 0 0 4 17 0 0 0 5 16 0 0 0 5 18 0 0 0 6 18 1 0 0 6 19 0 0 0 7 17 0 1 0 7 19 -1 1 0 8 17 0 0 0 8 19 0 0 0 9 18 0 0 0 9 19 -1 1 0 10 16 0 0 1 10 18 1 0 0 11 15 -1 1 1 11 17 0 1 0 12 14 -1 0 1 12 16 0 0 1 13 14 -1 0 1 13 15 -1 1 1 14 20 0 0 0 14 21 0 0 0 14 22 0 0 0 14 23 0 0 0 14 24 0 0 0 14 25 0 0 0 14 26 0 0 0 14 27 0 0 0 15 21 0 0 0 15 26 0 -1 0 16 23 0 0 0 16 24 -1 0 0 17 20 -1 0 1 17 21 -1 0 1 17 26 0 -1 0 17 27 0 -1 0 17 28 0 0 0 17 29 0 0 0 17 30 0 0 0 17 31 0 0 0 18 22 -1 0 1 18 23 -1 0 1 18 24 -1 0 0 18 25 -1 0 0 18 28 0 0 0 18 29 -1 1 0 18 30 0 0 0 18 31 -1 1 0 19 29 0 0 0 19 30 1 0 0 20 32 0 0 0 22 32 -1 1 0 25 32 0 0 0 27 32 -1 1 0 28 32 -1 0 0 31 32 -1 0 1
(rcsr)The canonical Systre key, copied verbatim from the local RCSR Systre archive of 2019-06-01 — and corroborated here rather than carried on the word of the archive alone. Systre 19.6.0 was run on the MOF+ deposit, the graph of the uploaded topology file and computed the same key, character for character, so two independent statements of the canonical form of this net agree. The computed key is served under topology.symmetry with the graph it was computed from and the version that computed it. The checksum beside this key is still the one the archive carries, copied from the same block and neither computed nor verified here.
Checksum
843fce240205559eb73762e805f5c303 (rcsr)

Vertices

The mapping of coordination sequences onto vertex classes that the source supplied was checked against a walk over the periodic topology of the net itself, one walk per vertex class, and agreed. The sequences are the values the source supplied; the walk settled nothing but which class each one describes.

Corroborated: 128 of 128 stored symbols were recomputed from the topology of the net itself and agree, entry for entry. A vertex symbol of this collection names the shortest cycle at each angle of a vertex, and mofpp.rings v2 (mofplus-deposit) walks those cycles on the deposit graph. The strings shown are still the values the source supplied; what was checked is that they are the values this net has.

Site symmetry. 128 of 128 vertex rows carry one, attributed to computed:mofpp.site_symmetry-v1 (spglib-2.7.0, mofplus-deposit). The site symmetry on each vertex row is the point group of the operations of the net's ideal space group that leave that vertex where it is — its Wyckoff position in the net's maximum-symmetry embedding. It is a property of the net, not of any material built on it, and it is what says whether a four-coordinated vertex is tetrahedral (-43m) or square-planar (4/mmm) — a distinction the coordination number cannot make. Computed in Fd-3m, setting 2, by mofpp.site_symmetry v1 with spglib 2.7.0, from the embedding Systre 19.6.0 computed on the mofplus-deposit. spglib determined the same space group from those coordinates independently, which is a check of two different computations against each other rather than a restatement.

One row per distinct vertex. The coordination sequence counts how many vertices lie at each topological distance; the vertex symbol names the shortest ring at each angle of the vertex; the site symmetry is the vertex's Wyckoff position in the net's maximum-symmetry embedding. The three columns do not carry the same warrant: which of them was corroborated, which was not, and which was computed here, is stated above the table.
# Coordination Site symmetry Vertex symbol Coordination sequence
0 12 -3m4.4.4.4.4.4.4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(12).8(12).8(12).8(12).8(12).8(12)12 12 60 36 192 96 342 146 624 264
1 12 -3m4.4.4.4.4.4.4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(12).8(12).8(12).8(12).8(12).8(12)12 12 60 36 192 96 342 146 624 264
2 12 -3m4.4.4.4.4.4.4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(12).8(12).8(12).8(12).8(12).8(12)12 12 60 36 192 96 342 146 624 264
3 12 -3m4.4.4.4.4.4.4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(12).8(12).8(12).8(12).8(12).8(12)12 12 60 36 192 96 342 146 624 264
4 12 -3m4.4.4.4.4.4.4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(12).8(12).8(12).8(12).8(12).8(12)12 12 60 36 192 96 342 146 624 264
5 12 -3m4.4.4.4.4.4.4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(12).8(12).8(12).8(12).8(12).8(12)12 12 60 36 192 96 342 146 624 264
6 12 -3m4.4.4.4.4.4.4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(12).8(12).8(12).8(12).8(12).8(12)12 12 60 36 192 96 342 146 624 264
7 12 -3m4.4.4.4.4.4.4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(12).8(12).8(12).8(12).8(12).8(12)12 12 60 36 192 96 342 146 624 264
8 12 -3m4.4.4.4.4.4.4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(12).8(12).8(12).8(12).8(12).8(12)12 12 60 36 192 96 342 146 624 264
9 12 -3m4.4.4.4.4.4.4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(12).8(12).8(12).8(12).8(12).8(12)12 12 60 36 192 96 342 146 624 264
10 12 -3m4.4.4.4.4.4.4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(12).8(12).8(12).8(12).8(12).8(12)12 12 60 36 192 96 342 146 624 264
11 12 -3m4.4.4.4.4.4.4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(12).8(12).8(12).8(12).8(12).8(12)12 12 60 36 192 96 342 146 624 264
12 12 -3m4.4.4.4.4.4.4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(12).8(12).8(12).8(12).8(12).8(12)12 12 60 36 192 96 342 146 624 264
13 12 -3m4.4.4.4.4.4.4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(12).8(12).8(12).8(12).8(12).8(12)12 12 60 36 192 96 342 146 624 264
14 12 -3m4.4.4.4.4.4.4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(12).8(12).8(12).8(12).8(12).8(12)12 12 60 36 192 96 342 146 624 264
15 12 -3m4.4.4.4.4.4.4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(12).8(12).8(12).8(12).8(12).8(12)12 12 60 36 192 96 342 146 624 264
16 6 -3m4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8)6 6 54 36 126 66 378 170 486 198
17 6 -3m4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8)6 6 54 36 126 66 378 170 486 198
18 6 -3m4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8)6 6 54 36 126 66 378 170 486 198
19 6 -3m4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8)6 6 54 36 126 66 378 170 486 198
20 6 -3m4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8)6 6 54 36 126 66 378 170 486 198
21 6 -3m4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8)6 6 54 36 126 66 378 170 486 198
22 6 -3m4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8)6 6 54 36 126 66 378 170 486 198
23 6 -3m4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8)6 6 54 36 126 66 378 170 486 198
24 6 -3m4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8)6 6 54 36 126 66 378 170 486 198
25 6 -3m4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8)6 6 54 36 126 66 378 170 486 198
26 6 -3m4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8)6 6 54 36 126 66 378 170 486 198
27 6 -3m4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8)6 6 54 36 126 66 378 170 486 198
28 6 -3m4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8)6 6 54 36 126 66 378 170 486 198
29 6 -3m4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8)6 6 54 36 126 66 378 170 486 198
30 6 -3m4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8)6 6 54 36 126 66 378 170 486 198
31 6 -3m4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8)6 6 54 36 126 66 378 170 486 198
32 3 m4.4.43 24 19 94 53 251 120 441 185 729
33 3 m4.4.43 24 19 94 53 251 120 441 185 729
34 3 m4.4.43 24 19 94 53 251 120 441 185 729
35 3 m4.4.43 24 19 94 53 251 120 441 185 729
36 3 m4.4.43 24 19 94 53 251 120 441 185 729
37 3 m4.4.43 24 19 94 53 251 120 441 185 729
38 3 m4.4.43 24 19 94 53 251 120 441 185 729
39 3 m4.4.43 24 19 94 53 251 120 441 185 729
40 3 m4.4.43 24 19 94 53 251 120 441 185 729
41 3 m4.4.43 24 19 94 53 251 120 441 185 729
42 3 m4.4.43 24 19 94 53 251 120 441 185 729
43 3 m4.4.43 24 19 94 53 251 120 441 185 729
44 3 m4.4.43 24 19 94 53 251 120 441 185 729
45 3 m4.4.43 24 19 94 53 251 120 441 185 729
46 3 m4.4.43 24 19 94 53 251 120 441 185 729
47 3 m4.4.43 24 19 94 53 251 120 441 185 729
48 3 m4.4.43 24 19 94 53 251 120 441 185 729
49 3 m4.4.43 24 19 94 53 251 120 441 185 729
50 3 m4.4.43 24 19 94 53 251 120 441 185 729
51 3 m4.4.43 24 19 94 53 251 120 441 185 729
52 3 m4.4.43 24 19 94 53 251 120 441 185 729
53 3 m4.4.43 24 19 94 53 251 120 441 185 729
54 3 m4.4.43 24 19 94 53 251 120 441 185 729
55 3 m4.4.43 24 19 94 53 251 120 441 185 729
56 3 m4.4.43 24 19 94 53 251 120 441 185 729
57 3 m4.4.43 24 19 94 53 251 120 441 185 729
58 3 m4.4.43 24 19 94 53 251 120 441 185 729
59 3 m4.4.43 24 19 94 53 251 120 441 185 729
60 3 m4.4.43 24 19 94 53 251 120 441 185 729
61 3 m4.4.43 24 19 94 53 251 120 441 185 729
62 3 m4.4.43 24 19 94 53 251 120 441 185 729
63 3 m4.4.43 24 19 94 53 251 120 441 185 729
64 3 m4.4.43 24 19 94 53 251 120 441 185 729
65 3 m4.4.43 24 19 94 53 251 120 441 185 729
66 3 m4.4.43 24 19 94 53 251 120 441 185 729
67 3 m4.4.43 24 19 94 53 251 120 441 185 729
68 3 m4.4.43 24 19 94 53 251 120 441 185 729
69 3 m4.4.43 24 19 94 53 251 120 441 185 729
70 3 m4.4.43 24 19 94 53 251 120 441 185 729
71 3 m4.4.43 24 19 94 53 251 120 441 185 729
72 3 m4.4.43 24 19 94 53 251 120 441 185 729
73 3 m4.4.43 24 19 94 53 251 120 441 185 729
74 3 m4.4.43 24 19 94 53 251 120 441 185 729
75 3 m4.4.43 24 19 94 53 251 120 441 185 729
76 3 m4.4.43 24 19 94 53 251 120 441 185 729
77 3 m4.4.43 24 19 94 53 251 120 441 185 729
78 3 m4.4.43 24 19 94 53 251 120 441 185 729
79 3 m4.4.43 24 19 94 53 251 120 441 185 729
80 3 m4.4.43 24 19 94 53 251 120 441 185 729
81 3 m4.4.43 24 19 94 53 251 120 441 185 729
82 3 m4.4.43 24 19 94 53 251 120 441 185 729
83 3 m4.4.43 24 19 94 53 251 120 441 185 729
84 3 m4.4.43 24 19 94 53 251 120 441 185 729
85 3 m4.4.43 24 19 94 53 251 120 441 185 729
86 3 m4.4.43 24 19 94 53 251 120 441 185 729
87 3 m4.4.43 24 19 94 53 251 120 441 185 729
88 3 m4.4.43 24 19 94 53 251 120 441 185 729
89 3 m4.4.43 24 19 94 53 251 120 441 185 729
90 3 m4.4.43 24 19 94 53 251 120 441 185 729
91 3 m4.4.43 24 19 94 53 251 120 441 185 729
92 3 m4.4.43 24 19 94 53 251 120 441 185 729
93 3 m4.4.43 24 19 94 53 251 120 441 185 729
94 3 m4.4.43 24 19 94 53 251 120 441 185 729
95 3 m4.4.43 24 19 94 53 251 120 441 185 729
96 3 m4.4.43 24 19 94 53 251 120 441 185 729
97 3 m4.4.43 24 19 94 53 251 120 441 185 729
98 3 m4.4.43 24 19 94 53 251 120 441 185 729
99 3 m4.4.43 24 19 94 53 251 120 441 185 729
100 3 m4.4.43 24 19 94 53 251 120 441 185 729
101 3 m4.4.43 24 19 94 53 251 120 441 185 729
102 3 m4.4.43 24 19 94 53 251 120 441 185 729
103 3 m4.4.43 24 19 94 53 251 120 441 185 729
104 3 m4.4.43 24 19 94 53 251 120 441 185 729
105 3 m4.4.43 24 19 94 53 251 120 441 185 729
106 3 m4.4.43 24 19 94 53 251 120 441 185 729
107 3 m4.4.43 24 19 94 53 251 120 441 185 729
108 3 m4.4.43 24 19 94 53 251 120 441 185 729
109 3 m4.4.43 24 19 94 53 251 120 441 185 729
110 3 m4.4.43 24 19 94 53 251 120 441 185 729
111 3 m4.4.43 24 19 94 53 251 120 441 185 729
112 3 m4.4.43 24 19 94 53 251 120 441 185 729
113 3 m4.4.43 24 19 94 53 251 120 441 185 729
114 3 m4.4.43 24 19 94 53 251 120 441 185 729
115 3 m4.4.43 24 19 94 53 251 120 441 185 729
116 3 m4.4.43 24 19 94 53 251 120 441 185 729
117 3 m4.4.43 24 19 94 53 251 120 441 185 729
118 3 m4.4.43 24 19 94 53 251 120 441 185 729
119 3 m4.4.43 24 19 94 53 251 120 441 185 729
120 3 m4.4.43 24 19 94 53 251 120 441 185 729
121 3 m4.4.43 24 19 94 53 251 120 441 185 729
122 3 m4.4.43 24 19 94 53 251 120 441 185 729
123 3 m4.4.43 24 19 94 53 251 120 441 185 729
124 3 m4.4.43 24 19 94 53 251 120 441 185 729
125 3 m4.4.43 24 19 94 53 251 120 441 185 729
126 3 m4.4.43 24 19 94 53 251 120 441 185 729
127 3 m4.4.43 24 19 94 53 251 120 441 185 729

Computed topology

Computed here from the quotient graph of the net itself, not transcribed from either source: periodicity, symmetry, invariants and rings, on the MOF+ deposit, the graph of the uploaded topology file and the RCSR archive key, the canonical key the archive states, by mofpp.invariants 2, mofpp.periodicity 1, mofpp.rings 2, mofpp.site_symmetry spglib-2.7.0 systre-19.6.0 v1 and systre 19.6.0 sha256:0d272e98a1a21669bc67a809b95c014ba2a2fb39a6fd2147039201216ab0d48d options:--systreKey wrapper:2. Each basis is analysed on its own and the results are never merged, because a MOF+ deposit and an RCSR archive key are two different graphs that usually describe the same net and sometimes do not. The transitivity r and s are computed by nothing in this project: they count the faces and the tiles of a natural tiling, and none is derived here. That is a measured limit rather than a job not yet done. The Gavrog library this project runs Systre from was tried on 2026-09-12: for a 3-periodic net it has no route from a net to a tiling at all, and for a 2-periodic net it has one that works, whose result is a plane tiling with faces and no tiles and so a transitivity triple rather than an r and an s. This block therefore states p and q and leaves r and s unknown rather than filling them. Every entry carries the tool, its version and input_checksum, the checksum of the graph that was actually analysed, so that a result computed from the graph this record holds now can be told from one computed before it changed. Nothing here rebuilds a graph to check that, so no entry below is claimed to be current.

Periodicity — the MOF+ deposit, the graph of the uploaded topology file

Periodicity (mofplus-deposit)
3-periodic
One connected net (mofplus-deposit)
yes
Interpenetration (mofplus-deposit)
1 copy
Computed by (mofplus-deposit)
mofpp.periodicity 1 — ok

Periodicity — the RCSR archive key, the canonical key the archive states

Periodicity (rcsr-archive-key)
3-periodic
One connected net (rcsr-archive-key)
yes
Interpenetration (rcsr-archive-key)
1 copy
Computed by (rcsr-archive-key)
mofpp.periodicity 1 — ok

Symmetry — the MOF+ deposit, the graph of the uploaded topology file

Systre found one connected net in the repeat unit, so the group, the kinds of node and edge, and the key below describe that net.

Ideal space group (mofplus-deposit)
Fd-3m (No. 227) (second origin choice)
Transitivity p, q (mofplus-deposit)
3, 2 Kinds of node and of edge. r and s count the faces and tiles of a natural tiling, and none is derived here: the library this site runs Systre from cannot produce one for a 3-periodic net at all, and a 2-periodic net tiles the plane, which has faces and no tiles. They stay unknown rather than being filled.
Point-group order (mofplus-deposit)
48
Repeat-unit factor (mofplus-deposit)
4
RCSR identification (mofplus-deposit)
epw
Computed Systre key (mofplus-deposit)
3 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 1 5 0 0 0 1 6 0 0 0 1 7 0 0 0 1 8 0 0 0 1 9 0 0 0 1 10 0 0 0 1 11 0 0 0 1 12 0 0 0 1 13 0 0 0 2 14 0 0 0 2 15 0 0 0 3 14 0 0 0 3 16 0 0 0 4 15 0 0 0 4 17 0 0 0 5 16 0 0 0 5 18 0 0 0 6 18 1 0 0 6 19 0 0 0 7 17 0 1 0 7 19 -1 1 0 8 17 0 0 0 8 19 0 0 0 9 18 0 0 0 9 19 -1 1 0 10 16 0 0 1 10 18 1 0 0 11 15 -1 1 1 11 17 0 1 0 12 14 -1 0 1 12 16 0 0 1 13 14 -1 0 1 13 15 -1 1 1 14 20 0 0 0 14 21 0 0 0 14 22 0 0 0 14 23 0 0 0 14 24 0 0 0 14 25 0 0 0 14 26 0 0 0 14 27 0 0 0 15 21 0 0 0 15 26 0 -1 0 16 23 0 0 0 16 24 -1 0 0 17 20 -1 0 1 17 21 -1 0 1 17 26 0 -1 0 17 27 0 -1 0 17 28 0 0 0 17 29 0 0 0 17 30 0 0 0 17 31 0 0 0 18 22 -1 0 1 18 23 -1 0 1 18 24 -1 0 0 18 25 -1 0 0 18 28 0 0 0 18 29 -1 1 0 18 30 0 0 0 18 31 -1 1 0 19 29 0 0 0 19 30 1 0 0 20 32 0 0 0 22 32 -1 1 0 25 32 0 0 0 27 32 -1 1 0 28 32 -1 0 0 31 32 -1 0 1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
1854
Computed by (symmetry, mofplus-deposit)
systre 19.6.0 sha256:0d272e98a1a21669bc67a809b95c014ba2a2fb39a6fd2147039201216ab0d48d options:--systreKey wrapper:2 — ok

Invariants — the MOF+ deposit, the graph of the uploaded topology file

TD10, exact (mofplus-deposit)
1854.0
Genus (mofplus-deposit)
41
Shells walked (mofplus-deposit)
10
Computed by (invariants, mofplus-deposit)
mofpp.invariants 2 — ok

Invariants — the RCSR archive key, the canonical key the archive states

TD10, exact (rcsr-archive-key)
1854.0
Genus (rcsr-archive-key)
41
Shells walked (rcsr-archive-key)
10
Computed by (invariants, rcsr-archive-key)
mofpp.invariants 2 — ok

Rings — the MOF+ deposit, the graph of the uploaded topology file

Net point symbol (mofplus-deposit)
(4^3)6(4^6.6^6.8^3)(4^12.6^36.8^18)
Longest ring searched (mofplus-deposit)
40 Some angle of this net has no ring within that bound. Those angles are written * rather than given a ring that was never found.
Computed by (rings, mofplus-deposit)
mofpp.rings 2 — ok
Computed from the graph itself, one row per set of vertices carrying the same symbols. The cycle symbol follows the MOF+ convention — the shortest cycle at each angle — and is the one comparable with the stored column above; the RCSR ring symbol names the shortest ring at each angle, with * where none exists within the bound, and is a different quantity.
Vertices Cycle symbol (MOF+ convention) RCSR ring symbol Point symbol Coordination sequence
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 154.4.4.4.4.4.4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(12).8(12).8(12).8(12).8(12).8(12) 12 angles have no ring of at most 40 edges 4.4.4.4.4.4.4.4.4.4.4.4.6.6.6.6.6.6.6.6.6.6.6.6.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).10(2).10(2).10(2).10(2).10(2).10(2).*.*.*.*.*.*.*.*.*.*.*.* 4^12.6^36.8^18 12 12 60 36 192 96 342 146 624 264
16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 314.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8) 4.4.4.4.4.4.6.6.6.6.6.6.10(8).10(8).10(8) 4^6.6^6.8^3 6 6 54 36 126 66 378 170 486 198
32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 1274.4.4 4.4.4 4^3 3 24 19 94 53 251 120 441 185 729

Rings — the RCSR archive key, the canonical key the archive states

Net point symbol (rcsr-archive-key)
(4^3)6(4^6.6^6.8^3)(4^12.6^36.8^18)
Longest ring searched (rcsr-archive-key)
40 Some angle of this net has no ring within that bound. Those angles are written * rather than given a ring that was never found.
Computed by (rings, rcsr-archive-key)
mofpp.rings 2 — ok
Computed from the graph itself, one row per set of vertices carrying the same symbols. The cycle symbol follows the MOF+ convention — the shortest cycle at each angle — and is the one comparable with the stored column above; the RCSR ring symbol names the shortest ring at each angle, with * where none exists within the bound, and is a different quantity.
Vertices Cycle symbol (MOF+ convention) RCSR ring symbol Point symbol Coordination sequence
0, 13, 16, 174.4.4.4.4.4.4.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(8).8(12).8(12).8(12).8(12).8(12).8(12) 12 angles have no ring of at most 40 edges 4.4.4.4.4.4.4.4.4.4.4.4.6.6.6.6.6.6.6.6.6.6.6.6.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).10(2).10(2).10(2).10(2).10(2).10(2).*.*.*.*.*.*.*.*.*.*.*.* 4^12.6^36.8^18 12 12 60 36 192 96 342 146 624 264
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 304.4.4 4.4.4 4^3 3 24 19 94 53 251 120 441 185 729
14, 15, 18, 314.4.4.4.4.4.6(2).6(2).6(2).6(2).6(2).6(2).8(8).8(8).8(8) 4.4.4.4.4.4.6.6.6.6.6.6.10(8).10(8).10(8) 4^6.6^6.8^3 6 6 54 36 126 66 378 170 486 198

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 128 of 128 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 128 of 128 vertex rows agree with mofpp.invariants v2 (mofplus-deposit), compared on the stored length.
Catenation against the name heuristic
No; agrees with the computed value

Provenance

Source
rcsr+mofplus — reconciled from both, field by field
Identifier at the source
epw
Retrieved
2026-09-09
Licence
CC BY 4.0 — verified from MOF++ project decision, CONTEXT §6 (Licensing): MOF+ is this group's own service, so nets retrieved from it are the project's own data to license, and the project licenses its data CC BY 4.0. No third-party grant is claimed..
Published
yes

Position in the collection

RCSR index
618 (derived) Derived by this site, not published by RCSR: the 1-based position of the symbol in the ascending ASCII-lexicographic ordering of the 2930 symbols in the RCSR Systre archive of 2019-06-01. RCSR does not number its nets; this is our ordering of their symbols and nothing more.
Complexity rank
2249 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.