MOF++

Data › Nets › pcu-m

Net topology

pcu-m

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

JSON · mfpx

192 vertices and 576 edges in the unit cell. 48 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
Fm-3c (No. 226)
Cell lengths
a = 6.5708 Å, b = 6.5708 Å, c = 6.5708 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
192
Transitivity pqrs
1, 4, *, *
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 2 3 0 0 0 2 4 0 0 0 2 8 0 0 0 2 9 0 0 0 2 10 0 0 0 3 8 0 0 0 3 11 0 0 0 3 12 0 0 0 3 13 0 0 0 4 5 0 0 0 4 14 0 0 0 4 15 0 0 0 4 16 0 0 0 5 6 0 0 0 5 15 0 0 0 5 17 0 0 0 5 18 0 0 0 6 12 0 0 0 6 17 0 0 0 6 19 0 0 0 6 20 0 0 0 7 13 0 0 0 7 20 0 0 0 7 21 0 0 0 7 22 0 0 0 7 23 0 0 0 8 9 0 0 0 8 11 0 0 0 8 24 0 0 0 8 25 0 0 0 9 14 0 0 0 9 25 0 0 0 9 26 0 0 0 9 27 0 0 0 10 16 0 0 0 10 27 0 0 0 10 28 0 0 0 10 29 0 0 0 10 30 0 0 0 11 12 0 0 0 11 31 0 0 0 11 32 0 0 0 11 33 0 0 0 12 19 0 0 0 12 33 0 0 0 12 34 0 0 0 13 21 0 0 0 13 34 0 0 0 13 35 0 0 0 13 36 0 0 0 14 15 0 0 0 14 26 0 0 0 14 37 0 0 0 14 38 0 0 0 15 36 1 0 0 15 37 0 0 0 15 39 0 0 0 16 30 0 0 0 16 31 0 1 0 16 38 0 0 0 16 40 0 0 0 17 19 0 0 0 17 28 0 0 1 17 39 0 0 0 17 41 0 0 0 18 28 0 0 1 18 29 0 0 1 18 36 1 0 0 18 42 0 0 0 18 43 0 0 0 19 33 0 0 0 19 41 0 0 0 19 44 0 0 0 20 23 0 0 0 20 34 0 0 0 20 38 -1 0 1 20 40 -1 0 1 21 22 0 0 0 21 36 0 0 0 21 42 -1 0 0 21 45 0 0 0 22 23 0 0 0 22 24 -1 1 1 22 41 -1 1 0 22 44 -1 1 0 23 24 -1 1 1 23 25 -1 1 1 23 40 -1 0 1 24 31 0 0 0 24 44 0 0 -1 24 46 0 0 0 25 26 0 0 0 25 32 0 0 0 25 47 0 0 0 26 37 0 0 0 26 43 1 -1 -1 26 47 0 0 0 27 28 0 0 0 27 34 1 0 -1 27 35 1 0 -1 27 38 0 0 0 28 29 0 0 0 28 35 1 0 -1 29 30 0 0 0 29 43 0 0 -1 29 47 -1 1 0 30 31 0 1 0 30 46 0 1 0 30 48 0 0 0 31 40 0 -1 0 31 46 0 0 0 32 33 0 0 0 32 40 0 -1 0 32 45 1 -1 0 32 47 0 0 0 33 42 0 -1 0 33 45 1 -1 0 34 35 0 0 0 34 38 -1 0 1 35 36 0 0 0 35 39 -1 0 0 36 42 -1 0 0 37 39 0 0 0 37 46 1 0 0 37 48 1 -1 0 38 40 0 0 0 39 41 0 0 0 39 48 1 -1 0 41 45 1 -1 0 41 48 1 -1 0 42 43 0 0 0 42 44 0 1 0 43 44 0 1 0 43 46 0 1 1 44 46 0 0 1 45 47 -1 1 0 45 48 0 0 0 47 48 1 -1 0
(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
3479c71f25372176eef11cc9e74e685b (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: 192 of 192 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. 192 of 192 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 Fm-3c, setting the conventional one, 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 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
1 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
2 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
3 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
4 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
5 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
6 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
7 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
8 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
9 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
10 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
11 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
12 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
13 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
14 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
15 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
16 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
17 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
18 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
19 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
20 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
21 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
22 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
23 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
24 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
25 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
26 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
27 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
28 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
29 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
30 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
31 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
32 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
33 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
34 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
35 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
36 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
37 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
38 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
39 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
40 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
41 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
42 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
43 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
44 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
45 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
46 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
47 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
48 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
49 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
50 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
51 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
52 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
53 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
54 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
55 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
56 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
57 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
58 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
59 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
60 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
61 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
62 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
63 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
64 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
65 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
66 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
67 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
68 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
69 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
70 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
71 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
72 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
73 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
74 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
75 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
76 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
77 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
78 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
79 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
80 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
81 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
82 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
83 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
84 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
85 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
86 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
87 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
88 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
89 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
90 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
91 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
92 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
93 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
94 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
95 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
96 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
97 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
98 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
99 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
100 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
101 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
102 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
103 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
104 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
105 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
106 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
107 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
108 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
109 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
110 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
111 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
112 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
113 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
114 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
115 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
116 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
117 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
118 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
119 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
120 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
121 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
122 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
123 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
124 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
125 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
126 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
127 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
128 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
129 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
130 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
131 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
132 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
133 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
134 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
135 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
136 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
137 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
138 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
139 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
140 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
141 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
142 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
143 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
144 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
145 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
146 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
147 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
148 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
149 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
150 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
151 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
152 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
153 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
154 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
155 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
156 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
157 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
158 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
159 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
160 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
161 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
162 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
163 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
164 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
165 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
166 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
167 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
168 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
169 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
170 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
171 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
172 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
173 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
174 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
175 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
176 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
177 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
178 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
179 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
180 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
181 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
182 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
183 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
184 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
185 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
186 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
187 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
188 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
189 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
190 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359
191 6 13.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2)6 16 33 59 92 130 174 230 294 359

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)
Fm-3c (No. 226)
Transitivity p, q (mofplus-deposit)
1, 4 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)
pcu-m
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 2 3 0 0 0 2 4 0 0 0 2 8 0 0 0 2 9 0 0 0 2 10 0 0 0 3 8 0 0 0 3 11 0 0 0 3 12 0 0 0 3 13 0 0 0 4 5 0 0 0 4 14 0 0 0 4 15 0 0 0 4 16 0 0 0 5 6 0 0 0 5 15 0 0 0 5 17 0 0 0 5 18 0 0 0 6 12 0 0 0 6 17 0 0 0 6 19 0 0 0 6 20 0 0 0 7 13 0 0 0 7 20 0 0 0 7 21 0 0 0 7 22 0 0 0 7 23 0 0 0 8 9 0 0 0 8 11 0 0 0 8 24 0 0 0 8 25 0 0 0 9 14 0 0 0 9 25 0 0 0 9 26 0 0 0 9 27 0 0 0 10 16 0 0 0 10 27 0 0 0 10 28 0 0 0 10 29 0 0 0 10 30 0 0 0 11 12 0 0 0 11 31 0 0 0 11 32 0 0 0 11 33 0 0 0 12 19 0 0 0 12 33 0 0 0 12 34 0 0 0 13 21 0 0 0 13 34 0 0 0 13 35 0 0 0 13 36 0 0 0 14 15 0 0 0 14 26 0 0 0 14 37 0 0 0 14 38 0 0 0 15 36 1 0 0 15 37 0 0 0 15 39 0 0 0 16 30 0 0 0 16 31 0 1 0 16 38 0 0 0 16 40 0 0 0 17 19 0 0 0 17 28 0 0 1 17 39 0 0 0 17 41 0 0 0 18 28 0 0 1 18 29 0 0 1 18 36 1 0 0 18 42 0 0 0 18 43 0 0 0 19 33 0 0 0 19 41 0 0 0 19 44 0 0 0 20 23 0 0 0 20 34 0 0 0 20 38 -1 0 1 20 40 -1 0 1 21 22 0 0 0 21 36 0 0 0 21 42 -1 0 0 21 45 0 0 0 22 23 0 0 0 22 24 -1 1 1 22 41 -1 1 0 22 44 -1 1 0 23 24 -1 1 1 23 25 -1 1 1 23 40 -1 0 1 24 31 0 0 0 24 44 0 0 -1 24 46 0 0 0 25 26 0 0 0 25 32 0 0 0 25 47 0 0 0 26 37 0 0 0 26 43 1 -1 -1 26 47 0 0 0 27 28 0 0 0 27 34 1 0 -1 27 35 1 0 -1 27 38 0 0 0 28 29 0 0 0 28 35 1 0 -1 29 30 0 0 0 29 43 0 0 -1 29 47 -1 1 0 30 31 0 1 0 30 46 0 1 0 30 48 0 0 0 31 40 0 -1 0 31 46 0 0 0 32 33 0 0 0 32 40 0 -1 0 32 45 1 -1 0 32 47 0 0 0 33 42 0 -1 0 33 45 1 -1 0 34 35 0 0 0 34 38 -1 0 1 35 36 0 0 0 35 39 -1 0 0 36 42 -1 0 0 37 39 0 0 0 37 46 1 0 0 37 48 1 -1 0 38 40 0 0 0 39 41 0 0 0 39 48 1 -1 0 41 45 1 -1 0 41 48 1 -1 0 42 43 0 0 0 42 44 0 1 0 43 44 0 1 0 43 46 0 1 1 44 46 0 0 1 45 47 -1 1 0 45 48 0 0 0 47 48 1 -1 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
1394
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)
1394.0
Genus (mofplus-deposit)
97
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)
1394.0
Genus (rcsr-archive-key)
97
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)
(3^4.4^6.5^4.6)
Longest ring searched (mofplus-deposit)
40
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, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 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, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 1913.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2) 3.3.3.3.4.4.4.8(2).8(2).8(3).9(2).9(3).9(4).9(5).9(6) 3^4.4^6.5^4.6 6 16 33 59 92 130 174 230 294 359

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

Net point symbol (rcsr-archive-key)
(3^4.4^6.5^4.6)
Longest ring searched (rcsr-archive-key)
40
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, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 473.3.3.3.4.4.4.4.4.4.5.5.5(2).5(2).6(2) 3.3.3.3.4.4.4.8(2).8(2).8(3).9(2).9(3).9(4).9(5).9(6) 3^4.4^6.5^4.6 6 16 33 59 92 130 174 230 294 359

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 192 of 192 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 192 of 192 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
pcu-m
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
1542 (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
2341 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.