Net topology

ftu

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

JSON · mfpx

288 vertices and 576 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
Fm-3m (No. 225)
Cell lengths
a = 9.0712 Å, b = 9.0712 Å, c = 9.0712 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 6 0 0 0 2 7 0 0 0 2 8 0 0 0 3 6 0 0 0 3 9 0 0 0 3 10 0 0 0 4 7 0 0 0 4 11 0 0 0 4 12 0 0 0 5 8 0 0 0 5 10 0 0 0 5 12 0 0 0 6 13 0 0 0 6 14 0 0 0 7 15 0 0 0 7 16 0 0 0 8 14 0 0 0 8 16 0 0 0 9 17 0 0 0 9 18 0 0 0 9 19 0 0 0 10 14 0 0 0 10 20 0 0 0 11 21 0 0 0 11 22 0 0 0 11 23 0 0 0 12 16 0 0 0 12 24 0 0 0 13 25 0 0 0 13 26 0 0 0 13 27 0 0 0 14 28 0 0 0 15 29 0 0 0 15 30 0 0 0 15 31 0 0 0 16 32 0 0 0 17 27 0 0 0 17 33 0 0 0 17 34 0 0 0 18 33 0 0 0 18 35 0 0 0 18 36 0 0 0 19 34 0 0 0 19 36 0 0 0 19 37 0 0 0 20 38 0 0 0 20 39 0 0 0 20 40 0 0 0 21 31 0 0 0 21 41 0 0 0 21 42 0 0 0 22 41 0 0 0 22 43 0 0 0 22 44 0 0 0 23 42 0 0 0 23 44 0 0 0 23 45 0 0 0 24 46 0 0 0 24 47 0 0 0 24 48 0 0 0 25 49 0 0 0 25 50 0 0 0 25 51 0 0 0 26 50 0 0 0 26 52 0 0 0 26 53 0 0 0 27 51 0 0 0 27 53 0 0 0 28 54 0 0 0 28 55 0 0 0 28 56 0 0 0 29 57 0 0 0 29 58 0 0 0 29 59 0 0 0 30 58 0 0 0 30 60 0 0 0 30 61 0 0 0 31 59 0 0 0 31 61 0 0 0 32 62 0 0 0 32 63 0 0 0 32 64 0 0 0 33 62 1 0 0 33 63 1 0 0 34 42 0 1 0 34 63 1 0 0 35 43 0 0 0 35 62 1 0 0 35 64 1 0 0 36 63 1 0 0 36 64 1 0 0 37 45 0 1 0 37 65 0 0 0 37 66 0 0 0 38 56 0 0 0 38 57 0 0 1 38 58 0 0 1 39 57 0 0 1 39 59 0 0 1 39 65 0 0 0 40 58 0 0 1 40 59 0 0 1 40 61 0 0 1 41 54 1 -1 0 41 55 1 -1 0 42 55 1 -1 0 43 54 1 -1 0 43 56 1 -1 0 44 55 1 -1 0 44 56 1 -1 0 45 67 0 0 0 45 68 0 0 0 46 49 0 -1 1 46 50 0 -1 1 46 64 0 0 0 47 49 0 -1 1 47 51 0 -1 1 47 67 0 0 0 48 50 0 -1 1 48 51 0 -1 1 48 53 0 -1 1 49 57 0 0 0 52 60 0 1 0 52 66 -1 1 -1 52 69 0 0 0 53 61 0 1 0 54 69 0 0 0 60 68 -1 1 -1 60 70 0 0 0 62 70 0 0 0 65 67 0 1 0 65 71 0 0 0 66 68 0 1 0 66 71 0 0 0 67 72 0 0 0 68 72 0 0 0 69 70 0 1 0 69 71 -1 1 -1 70 72 -1 1 -1 71 72 0 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
a9f0eee6ab9e1114d8ea971aafbcaa4f (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 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
1 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
2 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
3 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
4 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
5 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
6 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
7 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
8 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
9 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
10 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
11 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
12 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
13 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
14 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
15 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
16 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
17 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
18 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
19 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
20 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
21 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
22 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
23 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
24 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
25 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
26 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
27 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
28 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
29 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
30 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
31 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
32 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
33 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
34 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
35 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
36 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
37 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
38 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
39 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
40 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
41 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
42 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
43 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
44 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
45 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
46 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
47 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
48 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
49 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
50 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
51 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
52 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
53 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
54 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
55 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
56 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
57 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
58 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
59 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
60 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
61 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
62 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
63 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
64 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
65 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
66 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
67 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
68 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
69 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
70 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
71 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
72 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
73 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
74 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
75 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
76 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
77 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
78 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
79 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
80 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
81 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
82 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
83 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
84 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
85 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
86 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
87 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
88 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
89 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
90 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
91 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
92 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
93 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
94 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
95 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
96 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
97 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
98 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
99 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
100 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
101 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
102 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
103 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
104 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
105 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
106 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
107 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
108 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
109 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
110 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
111 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
112 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
113 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
114 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
115 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
116 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
117 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
118 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
119 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
120 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
121 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
122 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
123 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
124 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
125 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
126 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
127 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
128 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
129 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
130 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
131 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
132 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
133 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
134 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
135 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
136 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
137 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
138 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
139 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
140 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
141 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
142 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
143 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
144 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
145 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
146 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
147 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
148 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
149 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
150 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
151 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
152 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
153 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
154 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
155 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
156 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
157 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
158 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
159 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
160 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
161 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
162 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
163 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
164 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
165 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
166 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
167 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
168 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
169 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
170 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
171 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
172 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
173 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
174 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
175 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
176 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
177 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
178 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
179 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
180 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
181 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
182 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
183 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
184 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
185 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
186 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
187 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
188 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
189 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
190 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
191 4 14.4.4.6.8.8(2)4 9 16 26 40 57 78 103 130 159
192 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
193 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
194 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
195 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
196 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
197 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
198 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
199 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
200 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
201 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
202 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
203 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
204 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
205 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
206 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
207 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
208 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
209 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
210 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
211 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
212 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
213 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
214 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
215 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
216 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
217 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
218 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
219 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
220 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
221 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
222 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
223 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
224 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
225 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
226 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
227 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
228 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
229 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
230 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
231 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
232 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
233 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
234 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
235 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
236 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
237 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
238 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
239 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
240 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
241 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
242 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
243 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
244 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
245 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
246 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
247 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
248 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
249 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
250 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
251 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
252 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
253 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
254 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
255 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
256 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
257 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
258 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
259 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
260 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
261 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
262 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
263 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
264 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
265 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
266 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
267 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
268 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
269 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
270 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
271 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
272 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
273 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
274 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
275 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
276 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
277 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
278 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
279 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
280 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
281 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
282 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
283 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
284 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
285 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
286 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153
287 4 m4.4.4.4.4.6(2)4 7 12 24 38 50 68 94 122 153

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)
ftu
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 6 0 0 0 2 7 0 0 0 2 8 0 0 0 3 6 0 0 0 3 9 0 0 0 3 10 0 0 0 4 7 0 0 0 4 11 0 0 0 4 12 0 0 0 5 8 0 0 0 5 10 0 0 0 5 12 0 0 0 6 13 0 0 0 6 14 0 0 0 7 15 0 0 0 7 16 0 0 0 8 14 0 0 0 8 16 0 0 0 9 17 0 0 0 9 18 0 0 0 9 19 0 0 0 10 14 0 0 0 10 20 0 0 0 11 21 0 0 0 11 22 0 0 0 11 23 0 0 0 12 16 0 0 0 12 24 0 0 0 13 25 0 0 0 13 26 0 0 0 13 27 0 0 0 14 28 0 0 0 15 29 0 0 0 15 30 0 0 0 15 31 0 0 0 16 32 0 0 0 17 27 0 0 0 17 33 0 0 0 17 34 0 0 0 18 33 0 0 0 18 35 0 0 0 18 36 0 0 0 19 34 0 0 0 19 36 0 0 0 19 37 0 0 0 20 38 0 0 0 20 39 0 0 0 20 40 0 0 0 21 31 0 0 0 21 41 0 0 0 21 42 0 0 0 22 41 0 0 0 22 43 0 0 0 22 44 0 0 0 23 42 0 0 0 23 44 0 0 0 23 45 0 0 0 24 46 0 0 0 24 47 0 0 0 24 48 0 0 0 25 49 0 0 0 25 50 0 0 0 25 51 0 0 0 26 50 0 0 0 26 52 0 0 0 26 53 0 0 0 27 51 0 0 0 27 53 0 0 0 28 54 0 0 0 28 55 0 0 0 28 56 0 0 0 29 57 0 0 0 29 58 0 0 0 29 59 0 0 0 30 58 0 0 0 30 60 0 0 0 30 61 0 0 0 31 59 0 0 0 31 61 0 0 0 32 62 0 0 0 32 63 0 0 0 32 64 0 0 0 33 62 1 0 0 33 63 1 0 0 34 42 0 1 0 34 63 1 0 0 35 43 0 0 0 35 62 1 0 0 35 64 1 0 0 36 63 1 0 0 36 64 1 0 0 37 45 0 1 0 37 65 0 0 0 37 66 0 0 0 38 56 0 0 0 38 57 0 0 1 38 58 0 0 1 39 57 0 0 1 39 59 0 0 1 39 65 0 0 0 40 58 0 0 1 40 59 0 0 1 40 61 0 0 1 41 54 1 -1 0 41 55 1 -1 0 42 55 1 -1 0 43 54 1 -1 0 43 56 1 -1 0 44 55 1 -1 0 44 56 1 -1 0 45 67 0 0 0 45 68 0 0 0 46 49 0 -1 1 46 50 0 -1 1 46 64 0 0 0 47 49 0 -1 1 47 51 0 -1 1 47 67 0 0 0 48 50 0 -1 1 48 51 0 -1 1 48 53 0 -1 1 49 57 0 0 0 52 60 0 1 0 52 66 -1 1 -1 52 69 0 0 0 53 61 0 1 0 54 69 0 0 0 60 68 -1 1 -1 60 70 0 0 0 62 70 0 0 0 65 67 0 1 0 65 71 0 0 0 66 68 0 1 0 66 71 0 0 0 67 72 0 0 0 68 72 0 0 0 69 70 0 1 0 69 71 -1 1 -1 70 72 -1 1 -1 71 72 0 1 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
606
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)
606.3333333333334
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)
606.3333333333334
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)
(4^3.6.8^2)2(4^5.6)
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, 1914.4.4.6.8.8(2) 4.4.4.6.8.9 4^3.6.8^2 4 9 16 26 40 57 78 103 130 159
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, 2874.4.4.4.4.6(2) 4.4.4.4.4.9 4^5.6 4 7 12 24 38 50 68 94 122 153

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

Net point symbol (rcsr-archive-key)
(4^3.6.8^2)2(4^5.6)
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, 4, 7, 17, 21, 24, 28, 32, 35, 39, 40, 43, 47, 49, 50, 54, 57, 58, 62, 65, 67, 70, 714.4.4.4.4.6(2) 4.4.4.4.4.9 4^5.6 4 7 12 24 38 50 68 94 122 153
2, 3, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 22, 23, 25, 26, 27, 29, 30, 31, 33, 34, 36, 37, 38, 41, 42, 44, 45, 46, 48, 51, 52, 53, 55, 56, 59, 60, 61, 63, 64, 66, 68, 694.4.4.6.8.8(2) 4.4.4.6.8.9 4^3.6.8^2 4 9 16 26 40 57 78 103 130 159

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
ftu
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
812 (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
2394 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.