Net topology

fcv

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

JSON · mfpx

192 vertices and 480 edges in the unit cell. 72 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-3c (No. 228)
Cell lengths
a = 7.2639 Å, b = 7.2639 Å, c = 7.2639 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
192
Transitivity pqrs
1, 3, *, *
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 2 3 0 0 0 2 4 0 0 0 2 7 0 0 0 2 8 0 0 0 3 9 0 0 0 3 10 0 0 0 3 11 0 0 0 4 12 0 0 0 4 13 0 0 0 4 14 0 0 0 5 6 0 0 0 5 11 0 0 0 5 15 0 0 0 5 16 0 0 0 6 15 0 0 0 6 17 0 0 0 6 18 0 0 0 7 8 0 0 0 7 19 0 0 0 7 20 0 0 0 7 21 0 0 0 8 12 0 0 0 8 20 0 0 0 8 22 0 0 0 9 10 0 0 0 9 23 0 0 0 9 24 0 0 0 9 25 0 0 0 10 11 0 0 0 10 26 0 0 0 10 27 0 0 0 11 16 0 0 0 11 28 0 0 0 12 13 0 0 0 12 22 0 0 0 12 29 0 0 0 13 14 0 0 0 13 30 0 0 0 13 31 0 0 0 14 32 0 0 0 14 33 0 0 0 14 34 0 0 0 15 35 0 0 0 15 36 0 0 0 15 37 0 0 0 16 28 0 0 0 16 34 1 0 0 16 38 0 0 0 17 18 0 0 0 17 29 0 1 0 17 37 0 0 0 17 39 0 0 0 18 23 -1 1 0 18 33 0 0 0 18 39 0 0 0 19 21 0 0 0 19 28 0 0 1 19 40 0 0 0 19 41 0 0 0 20 40 0 0 0 20 42 0 0 0 20 43 0 0 0 21 23 0 0 0 21 33 1 -1 0 21 41 0 0 0 22 25 -1 1 1 22 29 0 0 0 22 44 0 0 0 23 24 0 0 0 23 33 1 -1 0 24 25 0 0 0 24 39 1 -1 0 24 42 1 -1 -1 25 26 0 0 0 25 44 1 -1 -1 26 27 0 0 0 26 44 1 -1 -1 26 45 0 0 0 27 36 0 -1 -1 27 41 0 0 -1 27 45 0 0 0 28 40 0 0 -1 28 46 0 0 0 29 37 0 -1 0 29 47 0 0 0 30 31 0 0 0 30 39 0 -1 0 30 42 0 -1 -1 30 48 0 0 0 31 34 0 0 0 31 38 -1 0 0 31 48 0 0 0 32 33 0 0 0 32 34 0 0 0 32 36 -1 0 0 32 41 -1 1 0 34 38 -1 0 0 35 36 0 0 0 35 37 0 0 0 35 45 0 1 1 35 48 0 1 1 36 41 0 1 0 37 47 0 1 0 38 46 0 0 0 38 47 1 0 -1 39 42 0 0 -1 40 43 0 0 0 40 46 0 0 1 42 43 0 0 0 43 45 0 1 1 43 48 0 1 1 44 46 -1 0 1 44 47 0 0 0 45 48 0 0 0 46 47 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
9534c2a0bcf54566a3326eda9b256975 (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 Fd-3c, 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 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
1 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
2 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
3 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
4 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
5 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
6 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
7 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
8 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
9 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
10 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
11 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
12 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
13 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
14 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
15 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
16 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
17 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
18 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
19 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
20 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
21 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
22 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
23 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
24 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
25 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
26 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
27 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
28 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
29 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
30 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
31 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
32 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
33 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
34 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
35 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
36 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
37 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
38 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
39 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
40 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
41 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
42 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
43 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
44 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
45 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
46 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
47 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
48 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
49 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
50 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
51 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
52 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
53 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
54 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
55 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
56 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
57 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
58 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
59 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
60 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
61 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
62 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
63 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
64 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
65 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
66 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
67 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
68 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
69 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
70 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
71 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
72 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
73 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
74 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
75 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
76 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
77 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
78 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
79 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
80 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
81 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
82 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
83 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
84 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
85 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
86 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
87 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
88 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
89 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
90 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
91 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
92 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
93 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
94 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
95 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
96 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
97 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
98 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
99 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
100 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
101 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
102 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
103 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
104 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
105 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
106 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
107 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
108 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
109 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
110 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
111 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
112 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
113 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
114 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
115 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
116 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
117 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
118 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
119 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
120 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
121 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
122 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
123 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
124 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
125 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
126 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
127 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
128 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
129 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
130 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
131 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
132 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
133 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
134 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
135 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
136 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
137 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
138 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
139 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
140 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
141 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
142 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
143 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
144 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
145 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
146 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
147 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
148 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
149 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
150 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
151 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
152 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
153 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
154 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
155 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
156 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
157 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
158 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
159 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
160 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
161 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
162 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
163 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
164 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
165 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
166 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
167 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
168 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
169 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
170 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
171 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
172 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
173 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
174 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
175 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
176 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
177 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
178 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
179 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
180 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
181 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
182 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
183 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
184 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
185 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
186 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
187 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
188 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
189 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
190 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317
191 5 13.3.3.4.4.5.5.6.6.65 12 24 45 72 110 154 198 252 317

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-3c (No. 228) (second origin choice)
Transitivity p, q (mofplus-deposit)
1, 3 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)
fcv
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 2 3 0 0 0 2 4 0 0 0 2 7 0 0 0 2 8 0 0 0 3 9 0 0 0 3 10 0 0 0 3 11 0 0 0 4 12 0 0 0 4 13 0 0 0 4 14 0 0 0 5 6 0 0 0 5 11 0 0 0 5 15 0 0 0 5 16 0 0 0 6 15 0 0 0 6 17 0 0 0 6 18 0 0 0 7 8 0 0 0 7 19 0 0 0 7 20 0 0 0 7 21 0 0 0 8 12 0 0 0 8 20 0 0 0 8 22 0 0 0 9 10 0 0 0 9 23 0 0 0 9 24 0 0 0 9 25 0 0 0 10 11 0 0 0 10 26 0 0 0 10 27 0 0 0 11 16 0 0 0 11 28 0 0 0 12 13 0 0 0 12 22 0 0 0 12 29 0 0 0 13 14 0 0 0 13 30 0 0 0 13 31 0 0 0 14 32 0 0 0 14 33 0 0 0 14 34 0 0 0 15 35 0 0 0 15 36 0 0 0 15 37 0 0 0 16 28 0 0 0 16 34 1 0 0 16 38 0 0 0 17 18 0 0 0 17 29 0 1 0 17 37 0 0 0 17 39 0 0 0 18 23 -1 1 0 18 33 0 0 0 18 39 0 0 0 19 21 0 0 0 19 28 0 0 1 19 40 0 0 0 19 41 0 0 0 20 40 0 0 0 20 42 0 0 0 20 43 0 0 0 21 23 0 0 0 21 33 1 -1 0 21 41 0 0 0 22 25 -1 1 1 22 29 0 0 0 22 44 0 0 0 23 24 0 0 0 23 33 1 -1 0 24 25 0 0 0 24 39 1 -1 0 24 42 1 -1 -1 25 26 0 0 0 25 44 1 -1 -1 26 27 0 0 0 26 44 1 -1 -1 26 45 0 0 0 27 36 0 -1 -1 27 41 0 0 -1 27 45 0 0 0 28 40 0 0 -1 28 46 0 0 0 29 37 0 -1 0 29 47 0 0 0 30 31 0 0 0 30 39 0 -1 0 30 42 0 -1 -1 30 48 0 0 0 31 34 0 0 0 31 38 -1 0 0 31 48 0 0 0 32 33 0 0 0 32 34 0 0 0 32 36 -1 0 0 32 41 -1 1 0 34 38 -1 0 0 35 36 0 0 0 35 37 0 0 0 35 45 0 1 1 35 48 0 1 1 36 41 0 1 0 37 47 0 1 0 38 46 0 0 0 38 47 1 0 -1 39 42 0 0 -1 40 43 0 0 0 40 46 0 0 1 42 43 0 0 0 43 45 0 1 1 43 48 0 1 1 44 46 -1 0 1 44 47 0 0 0 45 48 0 0 0 46 47 1 0 -1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
1190
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)
1190.0
Genus (mofplus-deposit)
73
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)
1190.0
Genus (rcsr-archive-key)
73
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)
(3^3.4^2.5^2.6^3)
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, 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, 1913.3.3.4.4.5.5.6.6.6 2 angles have no ring of at most 40 edges 3.3.3.4.6.9(4).9(4).9(4).*.* 3^3.4^2.5^2.6^3 5 12 24 45 72 110 154 198 252 317

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

Net point symbol (rcsr-archive-key)
(3^3.4^2.5^2.6^3)
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, 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, 473.3.3.4.4.5.5.6.6.6 2 angles have no ring of at most 40 edges 3.3.3.4.6.9(4).9(4).9(4).*.* 3^3.4^2.5^2.6^3 5 12 24 45 72 110 154 198 252 317

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
fcv
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
676 (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
2337 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.