Net topology

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

JSON · mfpx

192 vertices and 384 edges in the unit cell. 24 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 = 8.5525 Å, b = 8.5525 Å, c = 8.5525 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
192
Transitivity pqrs
2, 5, *, *
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 13 0 0 0 6 14 0 0 0 6 15 0 0 0 6 16 0 0 0 7 9 0 0 0 7 17 0 0 0 8 18 0 0 0 8 19 0 0 0 8 20 0 0 0 9 21 0 0 0 10 11 0 0 0 10 22 0 0 0 10 23 0 0 0 11 24 0 0 0 11 25 0 0 0 12 23 0 0 0 12 25 0 0 0 12 26 0 0 0 13 27 0 0 0 13 28 0 0 0 13 29 0 0 0 14 30 0 0 0 14 31 0 0 0 14 32 0 0 0 15 16 0 0 0 15 30 0 0 0 15 33 0 0 0 16 31 0 0 0 16 34 0 0 0 17 35 0 0 0 17 36 0 0 0 17 37 0 0 0 18 19 0 0 0 18 38 0 0 0 18 39 0 0 0 19 40 0 0 0 19 41 0 0 0 20 39 0 0 0 20 41 0 0 0 20 42 0 0 0 21 43 0 0 0 21 44 0 0 0 21 45 0 0 0 22 33 0 0 0 22 44 1 0 0 22 45 1 0 0 23 25 0 0 0 23 39 0 1 0 24 35 0 0 1 24 36 0 0 1 24 40 0 0 0 25 31 -1 1 1 26 32 -1 1 1 26 42 0 1 0 26 46 0 0 0 27 28 0 0 0 27 34 -1 1 0 27 36 0 0 0 28 38 -1 1 0 28 44 0 0 0 29 34 -1 1 0 29 38 -1 1 0 29 46 0 0 0 30 31 0 0 0 30 41 1 0 -1 32 42 1 0 -1 32 47 0 0 0 33 43 1 0 0 33 45 1 0 0 34 38 0 0 0 35 40 0 0 -1 35 47 0 0 0 36 37 0 0 0 37 40 0 0 -1 37 43 0 0 0 39 41 0 0 0 42 48 0 0 0 43 44 0 0 0 45 48 0 0 0 46 47 -1 1 1 46 48 0 1 0 47 48 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
068449dde34b26dff09a917782d414bd (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 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
1 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
2 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
3 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
4 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
5 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
6 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
7 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
8 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
9 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
10 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
11 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
12 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
13 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
14 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
15 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
16 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
17 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
18 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
19 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
20 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
21 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
22 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
23 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
24 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
25 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
26 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
27 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
28 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
29 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
30 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
31 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
32 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
33 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
34 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
35 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
36 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
37 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
38 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
39 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
40 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
41 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
42 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
43 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
44 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
45 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
46 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
47 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
48 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
49 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
50 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
51 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
52 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
53 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
54 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
55 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
56 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
57 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
58 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
59 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
60 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
61 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
62 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
63 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
64 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
65 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
66 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
67 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
68 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
69 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
70 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
71 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
72 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
73 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
74 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
75 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
76 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
77 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
78 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
79 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
80 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
81 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
82 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
83 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
84 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
85 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
86 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
87 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
88 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
89 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
90 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
91 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
92 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
93 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
94 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
95 4 m3.4.4.8.8.84 8 16 27 35 48 66 83 113 146
96 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
97 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
98 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
99 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
100 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
101 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
102 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
103 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
104 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
105 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
106 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
107 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
108 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
109 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
110 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
111 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
112 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
113 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
114 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
115 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
116 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
117 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
118 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
119 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
120 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
121 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
122 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
123 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
124 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
125 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
126 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
127 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
128 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
129 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
130 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
131 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
132 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
133 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
134 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
135 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
136 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
137 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
138 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
139 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
140 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
141 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
142 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
143 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
144 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
145 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
146 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
147 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
148 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
149 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
150 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
151 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
152 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
153 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
154 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
155 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
156 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
157 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
158 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
159 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
160 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
161 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
162 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
163 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
164 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
165 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
166 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
167 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
168 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
169 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
170 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
171 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
172 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
173 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
174 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
175 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
176 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
177 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
178 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
179 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
180 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
181 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
182 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
183 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
184 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
185 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
186 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
187 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
188 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
189 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
190 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133
191 4 m3.4.4.6.6.8(3)4 8 14 21 34 53 71 90 108 133

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, 5 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)
bar
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 13 0 0 0 6 14 0 0 0 6 15 0 0 0 6 16 0 0 0 7 9 0 0 0 7 17 0 0 0 8 18 0 0 0 8 19 0 0 0 8 20 0 0 0 9 21 0 0 0 10 11 0 0 0 10 22 0 0 0 10 23 0 0 0 11 24 0 0 0 11 25 0 0 0 12 23 0 0 0 12 25 0 0 0 12 26 0 0 0 13 27 0 0 0 13 28 0 0 0 13 29 0 0 0 14 30 0 0 0 14 31 0 0 0 14 32 0 0 0 15 16 0 0 0 15 30 0 0 0 15 33 0 0 0 16 31 0 0 0 16 34 0 0 0 17 35 0 0 0 17 36 0 0 0 17 37 0 0 0 18 19 0 0 0 18 38 0 0 0 18 39 0 0 0 19 40 0 0 0 19 41 0 0 0 20 39 0 0 0 20 41 0 0 0 20 42 0 0 0 21 43 0 0 0 21 44 0 0 0 21 45 0 0 0 22 33 0 0 0 22 44 1 0 0 22 45 1 0 0 23 25 0 0 0 23 39 0 1 0 24 35 0 0 1 24 36 0 0 1 24 40 0 0 0 25 31 -1 1 1 26 32 -1 1 1 26 42 0 1 0 26 46 0 0 0 27 28 0 0 0 27 34 -1 1 0 27 36 0 0 0 28 38 -1 1 0 28 44 0 0 0 29 34 -1 1 0 29 38 -1 1 0 29 46 0 0 0 30 31 0 0 0 30 41 1 0 -1 32 42 1 0 -1 32 47 0 0 0 33 43 1 0 0 33 45 1 0 0 34 38 0 0 0 35 40 0 0 -1 35 47 0 0 0 36 37 0 0 0 37 40 0 0 -1 37 43 0 0 0 39 41 0 0 0 42 48 0 0 0 43 44 0 0 0 45 48 0 0 0 46 47 -1 1 1 46 48 0 1 0 47 48 1 0 -1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
542
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)
542.0
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)
542.0
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)
(3.4^2.6^2.8)(3.4^2.8^3)
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, 953.4.4.8.8.8 3.4.4.8.8.8 3.4^2.8^3 4 8 16 27 35 48 66 83 113 146
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, 1913.4.4.6.6.8(3) 3.4.4.6.6.8 3.4^2.6^2.8 4 8 14 21 34 53 71 90 108 133

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

Net point symbol (rcsr-archive-key)
(3.4^2.6^2.8)(3.4^2.8^3)
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, 5, 7, 9, 10, 14, 15, 17, 18, 21, 23, 28, 32, 33, 34, 37, 39, 44, 45, 46, 473.4.4.8.8.8 3.4.4.8.8.8 3.4^2.8^3 4 8 16 27 35 48 66 83 113 146
4, 6, 8, 11, 12, 13, 16, 19, 20, 22, 24, 25, 26, 27, 29, 30, 31, 35, 36, 38, 40, 41, 42, 433.4.4.6.6.8(3) 3.4.4.6.6.8 3.4^2.6^2.8 4 8 14 21 34 53 71 90 108 133

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
bar
Retrieved
2026-09-08
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
95 (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
2316 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.