MOF++

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Net topology

rht-a

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

JSON · mfpx

192 vertices and 384 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-3m (No. 225)
Cell lengths
a = 7.2780 Å, b = 7.2780 Å, c = 7.2780 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
192
Transitivity pqrs
2, 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 2 3 0 0 0 2 7 0 0 0 2 8 0 0 0 2 9 0 0 0 3 10 0 0 0 3 11 0 0 0 3 12 0 0 0 4 8 0 0 0 4 13 0 0 0 4 14 0 0 0 4 15 0 0 0 5 11 0 0 0 5 14 0 0 0 5 16 0 0 0 5 17 0 0 0 6 18 0 0 0 6 19 0 0 0 7 10 0 0 0 7 20 0 0 0 7 21 0 0 0 7 22 0 0 0 8 13 0 0 0 8 22 0 0 0 8 23 0 0 0 9 24 0 0 0 9 25 0 0 0 10 21 0 0 0 10 26 0 0 0 10 27 0 0 0 11 16 0 0 0 11 27 0 0 0 11 28 0 0 0 12 29 0 0 0 12 30 0 0 0 13 31 0 0 0 13 32 0 0 0 13 33 0 0 0 14 32 0 0 0 14 34 0 0 0 14 35 0 0 0 15 26 1 0 0 15 36 0 0 0 16 34 0 0 0 16 37 0 0 0 16 38 0 0 0 17 20 0 1 0 17 39 0 0 0 18 19 0 0 0 18 37 0 0 1 19 31 -1 1 1 20 39 0 -1 0 21 40 0 0 0 21 41 0 0 0 21 42 0 0 0 22 31 0 0 0 22 41 0 0 0 22 43 0 0 0 23 28 1 -1 0 23 44 0 0 0 24 25 0 0 0 24 32 -1 0 1 25 42 0 0 1 26 36 -1 0 0 27 37 0 0 0 27 42 0 0 0 27 45 0 0 0 28 44 -1 1 0 29 30 0 0 0 29 34 -1 0 1 30 41 -1 1 1 31 41 0 0 0 31 46 0 0 0 32 34 0 0 0 32 46 0 0 0 33 38 1 -1 0 33 40 1 0 0 34 47 0 0 0 35 43 0 1 0 35 45 1 0 0 36 47 0 0 1 37 42 0 0 0 37 47 0 0 0 38 40 0 1 0 39 46 -1 1 1 41 48 0 0 0 42 48 0 0 0 43 45 1 -1 0 44 48 0 0 1 46 47 0 0 0 46 48 0 0 0 47 48 0 0 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
cfad856110460d33074bc6f0221ecb75 (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-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 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
1 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
2 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
3 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
4 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
5 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
6 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
7 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
8 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
9 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
10 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
11 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
12 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
13 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
14 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
15 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
16 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
17 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
18 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
19 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
20 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
21 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
22 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
23 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
24 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
25 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
26 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
27 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
28 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
29 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
30 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
31 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
32 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
33 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
34 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
35 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
36 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
37 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
38 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
39 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
40 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
41 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
42 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
43 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
44 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
45 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
46 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
47 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
48 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
49 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
50 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
51 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
52 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
53 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
54 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
55 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
56 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
57 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
58 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
59 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
60 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
61 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
62 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
63 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
64 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
65 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
66 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
67 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
68 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
69 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
70 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
71 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
72 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
73 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
74 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
75 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
76 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
77 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
78 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
79 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
80 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
81 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
82 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
83 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
84 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
85 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
86 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
87 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
88 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
89 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
90 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
91 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
92 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
93 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
94 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
95 5 m3.4.4.4.5.5.8.8.8.85 13 24 37 56 86 127 172 207 236
96 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
97 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
98 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
99 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
100 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
101 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
102 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
103 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
104 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
105 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
106 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
107 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
108 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
109 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
110 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
111 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
112 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
113 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
114 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
115 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
116 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
117 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
118 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
119 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
120 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
121 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
122 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
123 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
124 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
125 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
126 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
127 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
128 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
129 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
130 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
131 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
132 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
133 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
134 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
135 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
136 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
137 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
138 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
139 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
140 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
141 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
142 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
143 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
144 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
145 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
146 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
147 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
148 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
149 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
150 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
151 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
152 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
153 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
154 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
155 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
156 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
157 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
158 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
159 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
160 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
161 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
162 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
163 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
164 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
165 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
166 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
167 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
168 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
169 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
170 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
171 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
172 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
173 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
174 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
175 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
176 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
177 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
178 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
179 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
180 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
181 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
182 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
183 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
184 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
185 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
186 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
187 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
188 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
189 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
190 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263
191 3 m3.8(2).8(2)3 6 19 40 57 82 101 140 204 263

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, 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)
rht-a
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 7 0 0 0 2 8 0 0 0 2 9 0 0 0 3 10 0 0 0 3 11 0 0 0 3 12 0 0 0 4 8 0 0 0 4 13 0 0 0 4 14 0 0 0 4 15 0 0 0 5 11 0 0 0 5 14 0 0 0 5 16 0 0 0 5 17 0 0 0 6 18 0 0 0 6 19 0 0 0 7 10 0 0 0 7 20 0 0 0 7 21 0 0 0 7 22 0 0 0 8 13 0 0 0 8 22 0 0 0 8 23 0 0 0 9 24 0 0 0 9 25 0 0 0 10 21 0 0 0 10 26 0 0 0 10 27 0 0 0 11 16 0 0 0 11 27 0 0 0 11 28 0 0 0 12 29 0 0 0 12 30 0 0 0 13 31 0 0 0 13 32 0 0 0 13 33 0 0 0 14 32 0 0 0 14 34 0 0 0 14 35 0 0 0 15 26 1 0 0 15 36 0 0 0 16 34 0 0 0 16 37 0 0 0 16 38 0 0 0 17 20 0 1 0 17 39 0 0 0 18 19 0 0 0 18 37 0 0 1 19 31 -1 1 1 20 39 0 -1 0 21 40 0 0 0 21 41 0 0 0 21 42 0 0 0 22 31 0 0 0 22 41 0 0 0 22 43 0 0 0 23 28 1 -1 0 23 44 0 0 0 24 25 0 0 0 24 32 -1 0 1 25 42 0 0 1 26 36 -1 0 0 27 37 0 0 0 27 42 0 0 0 27 45 0 0 0 28 44 -1 1 0 29 30 0 0 0 29 34 -1 0 1 30 41 -1 1 1 31 41 0 0 0 31 46 0 0 0 32 34 0 0 0 32 46 0 0 0 33 38 1 -1 0 33 40 1 0 0 34 47 0 0 0 35 43 0 1 0 35 45 1 0 0 36 47 0 0 1 37 42 0 0 0 37 47 0 0 0 38 40 0 1 0 39 46 -1 1 1 41 48 0 0 0 42 48 0 0 0 43 45 1 -1 0 44 48 0 0 1 46 47 0 0 0 46 48 0 0 0 47 48 0 0 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
940
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)
940.0
Genus (mofplus-deposit)
49
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)
940.0
Genus (rcsr-archive-key)
49
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)
(3.8^2)(3.4^3.5^2.8^4)
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, 953.4.4.4.5.5.8.8.8.8 3.4.4.4.8.8.8.8.8.8 3.4^3.5^2.8^4 5 13 24 37 56 86 127 172 207 236
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, 1913.8(2).8(2) 3.8(2).8(2) 3.8^2 3 6 19 40 57 82 101 140 204 263

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

Net point symbol (rcsr-archive-key)
(3.8^2)(3.4^3.5^2.8^4)
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, 6, 7, 9, 10, 12, 13, 15, 20, 21, 26, 30, 31, 33, 36, 40, 41, 45, 46, 473.4.4.4.5.5.8.8.8.8 3.4.4.4.8.8.8.8.8.8 3.4^3.5^2.8^4 5 13 24 37 56 86 127 172 207 236
5, 8, 11, 14, 16, 17, 18, 19, 22, 23, 24, 25, 27, 28, 29, 32, 34, 35, 37, 38, 39, 42, 43, 443.8(2).8(2) 3.8(2).8(2) 3.8^2 3 6 19 40 57 82 101 140 204 263

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
rht-a
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
1658 (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
2325 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.