MOF++

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Net topology

fts

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

JSON · mfpx

288 vertices and 576 edges in the unit cell. 96 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-3m (No. 225)
Cell lengths
a = 10.1065 Å, b = 10.1065 Å, c = 10.1065 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
288
Transitivity pqrs
2, 6, *, *
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 2 3 0 0 0 2 6 0 0 0 2 7 0 0 0 3 8 0 0 0 3 9 0 0 0 4 10 0 0 0 4 11 0 0 0 4 12 0 0 0 5 7 0 0 0 5 9 0 0 0 5 12 0 0 0 6 13 0 0 0 6 14 0 0 0 6 15 0 0 0 7 9 0 0 0 7 16 0 0 0 8 17 0 0 0 8 18 0 0 0 8 19 0 0 0 9 20 0 0 0 10 11 0 0 0 10 21 0 0 0 10 22 0 0 0 11 23 0 0 0 11 24 0 0 0 12 22 0 0 0 12 24 0 0 0 13 14 0 0 0 13 25 0 0 0 13 26 0 0 0 14 27 0 0 0 14 28 0 0 0 15 26 0 0 0 15 28 0 0 0 15 29 0 0 0 16 29 0 0 0 16 30 0 0 0 16 31 0 0 0 17 18 0 0 0 17 32 0 0 0 17 33 0 0 0 18 34 0 0 0 18 35 0 0 0 19 33 0 0 0 19 35 0 0 0 19 36 0 0 0 20 36 0 0 0 20 37 0 0 0 20 38 0 0 0 21 39 0 0 0 21 40 0 0 0 21 41 0 0 0 22 24 0 0 0 22 42 0 0 0 23 43 0 0 0 23 44 0 0 0 23 45 0 0 0 24 46 0 0 0 25 47 0 0 0 25 48 0 0 0 25 49 0 0 0 26 28 0 0 0 26 49 0 0 0 27 32 0 0 0 27 50 0 0 0 27 51 0 0 0 28 52 0 0 0 29 53 0 0 0 29 54 0 0 0 30 31 0 0 0 30 54 0 0 0 30 55 0 0 0 31 53 0 0 0 31 56 0 0 0 32 50 0 0 0 32 57 0 0 0 33 35 0 0 0 33 58 0 0 0 34 59 0 0 0 34 60 0 0 0 34 61 0 0 0 35 61 0 0 0 36 62 0 0 0 36 63 0 0 0 37 38 0 0 0 37 62 0 0 0 37 64 0 0 0 38 63 0 0 0 38 65 0 0 0 39 40 0 0 0 39 63 1 0 0 39 65 1 0 0 40 51 0 1 0 40 52 0 1 0 41 52 0 1 0 41 59 0 0 1 41 65 1 0 0 42 59 0 0 1 42 61 0 0 1 42 66 0 0 0 43 44 0 0 0 43 57 0 1 0 43 58 0 1 0 44 54 0 1 -1 44 55 0 1 -1 45 47 -1 1 0 45 55 0 1 -1 45 58 0 1 0 46 47 -1 1 0 46 49 -1 1 0 46 67 0 0 0 47 48 0 0 0 48 62 1 0 0 48 67 1 -1 0 49 67 1 -1 0 50 68 0 0 0 50 69 0 0 0 51 57 0 0 0 51 69 0 0 0 52 65 1 -1 0 53 54 0 0 0 53 60 0 -1 1 55 58 0 0 1 56 64 0 0 0 56 68 -1 0 1 56 70 0 0 0 57 69 0 0 0 59 60 0 0 0 60 66 0 0 -1 61 66 0 0 -1 62 63 0 0 0 64 68 -1 0 1 64 71 0 0 0 66 70 0 1 0 67 71 0 1 0 68 72 0 0 0 69 72 0 0 0 70 71 0 0 0 70 72 -1 0 1 71 72 -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
11cb7f9fd5ac3df0f0bf86ea030b1b1d (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: 288 of 288 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. 288 of 288 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-3m, 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 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
1 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
2 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
3 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
4 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
5 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
6 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
7 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
8 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
9 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
10 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
11 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
12 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
13 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
14 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
15 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
16 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
17 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
18 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
19 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
20 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
21 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
22 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
23 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
24 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
25 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
26 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
27 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
28 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
29 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
30 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
31 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
32 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
33 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
34 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
35 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
36 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
37 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
38 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
39 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
40 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
41 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
42 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
43 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
44 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
45 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
46 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
47 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
48 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
49 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
50 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
51 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
52 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
53 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
54 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
55 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
56 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
57 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
58 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
59 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
60 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
61 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
62 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
63 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
64 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
65 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
66 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
67 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
68 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
69 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
70 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
71 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
72 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
73 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
74 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
75 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
76 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
77 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
78 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
79 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
80 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
81 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
82 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
83 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
84 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
85 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
86 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
87 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
88 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
89 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
90 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
91 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
92 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
93 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
94 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
95 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
96 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
97 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
98 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
99 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
100 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
101 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
102 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
103 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
104 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
105 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
106 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
107 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
108 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
109 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
110 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
111 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
112 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
113 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
114 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
115 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
116 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
117 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
118 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
119 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
120 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
121 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
122 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
123 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
124 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
125 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
126 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
127 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
128 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
129 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
130 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
131 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
132 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
133 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
134 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
135 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
136 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
137 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
138 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
139 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
140 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
141 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
142 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
143 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
144 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
145 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
146 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
147 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
148 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
149 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
150 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
151 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
152 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
153 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
154 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
155 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
156 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
157 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
158 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
159 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
160 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
161 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
162 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
163 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
164 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
165 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
166 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
167 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
168 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
169 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
170 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
171 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
172 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
173 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
174 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
175 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
176 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
177 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
178 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
179 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
180 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
181 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
182 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
183 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
184 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
185 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
186 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
187 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
188 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
189 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
190 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
191 4 13.4.4.6.8.8(2)4 8 14 21 32 48 65 85 106 132
192 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
193 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
194 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
195 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
196 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
197 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
198 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
199 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
200 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
201 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
202 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
203 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
204 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
205 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
206 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
207 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
208 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
209 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
210 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
211 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
212 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
213 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
214 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
215 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
216 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
217 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
218 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
219 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
220 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
221 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
222 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
223 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
224 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
225 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
226 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
227 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
228 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
229 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
230 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
231 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
232 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
233 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
234 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
235 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
236 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
237 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
238 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
239 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
240 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
241 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
242 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
243 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
244 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
245 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
246 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
247 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
248 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
249 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
250 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
251 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
252 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
253 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
254 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
255 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
256 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
257 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
258 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
259 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
260 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
261 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
262 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
263 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
264 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
265 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
266 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
267 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
268 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
269 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
270 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
271 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
272 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
273 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
274 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
275 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
276 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
277 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
278 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
279 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
280 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
281 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
282 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
283 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
284 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
285 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
286 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125
287 4 m3.4.4.4.6.64 7 12 22 33 44 58 80 104 125

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-3m (No. 225)
Transitivity p, q (mofplus-deposit)
2, 6 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)
fts
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 2 3 0 0 0 2 6 0 0 0 2 7 0 0 0 3 8 0 0 0 3 9 0 0 0 4 10 0 0 0 4 11 0 0 0 4 12 0 0 0 5 7 0 0 0 5 9 0 0 0 5 12 0 0 0 6 13 0 0 0 6 14 0 0 0 6 15 0 0 0 7 9 0 0 0 7 16 0 0 0 8 17 0 0 0 8 18 0 0 0 8 19 0 0 0 9 20 0 0 0 10 11 0 0 0 10 21 0 0 0 10 22 0 0 0 11 23 0 0 0 11 24 0 0 0 12 22 0 0 0 12 24 0 0 0 13 14 0 0 0 13 25 0 0 0 13 26 0 0 0 14 27 0 0 0 14 28 0 0 0 15 26 0 0 0 15 28 0 0 0 15 29 0 0 0 16 29 0 0 0 16 30 0 0 0 16 31 0 0 0 17 18 0 0 0 17 32 0 0 0 17 33 0 0 0 18 34 0 0 0 18 35 0 0 0 19 33 0 0 0 19 35 0 0 0 19 36 0 0 0 20 36 0 0 0 20 37 0 0 0 20 38 0 0 0 21 39 0 0 0 21 40 0 0 0 21 41 0 0 0 22 24 0 0 0 22 42 0 0 0 23 43 0 0 0 23 44 0 0 0 23 45 0 0 0 24 46 0 0 0 25 47 0 0 0 25 48 0 0 0 25 49 0 0 0 26 28 0 0 0 26 49 0 0 0 27 32 0 0 0 27 50 0 0 0 27 51 0 0 0 28 52 0 0 0 29 53 0 0 0 29 54 0 0 0 30 31 0 0 0 30 54 0 0 0 30 55 0 0 0 31 53 0 0 0 31 56 0 0 0 32 50 0 0 0 32 57 0 0 0 33 35 0 0 0 33 58 0 0 0 34 59 0 0 0 34 60 0 0 0 34 61 0 0 0 35 61 0 0 0 36 62 0 0 0 36 63 0 0 0 37 38 0 0 0 37 62 0 0 0 37 64 0 0 0 38 63 0 0 0 38 65 0 0 0 39 40 0 0 0 39 63 1 0 0 39 65 1 0 0 40 51 0 1 0 40 52 0 1 0 41 52 0 1 0 41 59 0 0 1 41 65 1 0 0 42 59 0 0 1 42 61 0 0 1 42 66 0 0 0 43 44 0 0 0 43 57 0 1 0 43 58 0 1 0 44 54 0 1 -1 44 55 0 1 -1 45 47 -1 1 0 45 55 0 1 -1 45 58 0 1 0 46 47 -1 1 0 46 49 -1 1 0 46 67 0 0 0 47 48 0 0 0 48 62 1 0 0 48 67 1 -1 0 49 67 1 -1 0 50 68 0 0 0 50 69 0 0 0 51 57 0 0 0 51 69 0 0 0 52 65 1 -1 0 53 54 0 0 0 53 60 0 -1 1 55 58 0 0 1 56 64 0 0 0 56 68 -1 0 1 56 70 0 0 0 57 69 0 0 0 59 60 0 0 0 60 66 0 0 -1 61 66 0 0 -1 62 63 0 0 0 64 68 -1 0 1 64 71 0 0 0 66 70 0 1 0 67 71 0 1 0 68 72 0 0 0 69 72 0 0 0 70 71 0 0 0 70 72 -1 0 1 71 72 -1 0 1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
507
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)
507.3333333333333
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)
507.3333333333333
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)
(3.4^2.6.8^2)2(3.4^3.6^2)
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, 1913.4.4.6.8.8(2) 3.4.4.6.8.12 3.4^2.6.8^2 4 8 14 21 32 48 65 85 106 132
192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 2873.4.4.4.6.6 3.4.4.4.12.12 3.4^3.6^2 4 7 12 22 33 44 58 80 104 125

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

Net point symbol (rcsr-archive-key)
(3.4^2.6.8^2)2(3.4^3.6^2)
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, 3, 4, 11, 12, 17, 24, 25, 29, 33, 34, 37, 38, 43, 48, 49, 53, 54, 60, 62, 64, 67, 68, 713.4.4.4.6.6 3.4.4.4.12.12 3.4^3.6^2 4 7 12 22 33 44 58 80 104 125
1, 2, 5, 6, 7, 8, 9, 10, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 26, 27, 28, 30, 31, 32, 35, 36, 39, 40, 41, 42, 44, 45, 46, 47, 50, 51, 52, 55, 56, 57, 58, 59, 61, 63, 65, 66, 69, 703.4.4.6.8.8(2) 3.4.4.6.8.12 3.4^2.6.8^2 4 8 14 21 32 48 65 85 106 132

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 288 of 288 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 288 of 288 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
fts
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
810 (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
2392 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.