MOF++

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Net topology

bak

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

JSON · mfpx

288 vertices and 576 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 = 11.1214 Å, b = 11.1214 Å, c = 11.1214 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 17 0 0 0 14 27 0 0 0 15 26 0 0 0 15 27 0 0 0 15 28 0 0 0 16 28 0 0 0 16 29 0 0 0 16 30 0 0 0 17 18 0 0 0 17 31 0 0 0 18 32 0 0 0 18 33 0 0 0 19 31 0 0 0 19 33 0 0 0 19 34 0 0 0 20 34 0 0 0 20 35 0 0 0 20 36 0 0 0 21 37 0 0 0 21 38 0 0 0 21 39 0 0 0 22 24 0 0 0 22 40 0 0 0 23 41 0 0 0 23 42 0 0 0 23 43 0 0 0 24 44 0 0 0 25 45 0 0 0 25 46 0 0 0 25 47 0 0 0 26 27 0 0 0 26 47 0 0 0 27 48 0 0 0 28 49 0 0 0 28 50 0 0 0 29 30 0 0 0 29 50 0 0 0 29 51 0 0 0 30 35 0 0 0 30 49 0 0 0 31 33 0 0 0 31 52 0 0 0 32 53 0 0 0 32 54 0 0 0 32 55 0 0 0 33 55 0 0 0 34 56 0 0 0 34 57 0 0 0 35 36 0 0 0 35 56 0 0 0 36 57 0 0 0 36 58 0 0 0 37 38 0 0 0 37 57 1 0 0 37 58 1 0 0 38 41 0 0 0 38 59 0 0 0 39 53 0 1 0 39 58 1 0 0 39 59 0 0 0 40 53 0 1 0 40 55 0 1 0 40 60 0 0 0 41 42 0 0 0 41 61 0 0 0 42 50 0 0 1 42 51 0 0 1 43 45 -1 1 1 43 51 0 0 1 43 61 0 0 0 44 45 -1 1 1 44 47 -1 1 1 44 62 0 0 0 45 46 0 0 0 46 62 1 -1 -1 46 63 0 0 0 47 62 1 -1 -1 48 52 0 0 0 48 64 0 0 0 48 65 0 0 0 49 50 0 0 0 49 65 0 0 0 51 61 0 0 -1 52 66 0 0 0 52 67 0 0 0 53 54 0 0 0 54 60 0 -1 0 54 68 0 0 0 55 60 0 -1 0 56 57 0 0 0 56 67 0 0 0 58 59 -1 0 0 59 69 0 0 0 60 62 0 0 0 61 70 0 0 0 63 68 1 0 -1 63 70 1 -1 -1 63 71 0 0 0 64 65 0 0 0 64 66 0 0 0 64 72 0 0 0 65 67 0 0 0 66 67 0 0 0 66 71 -1 0 0 68 69 0 -1 0 68 72 0 0 1 69 70 0 0 0 69 72 0 1 1 70 71 -1 1 1 71 72 1 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
2951f40eed556344242a4e5b82a664c2 (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 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
1 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
2 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
3 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
4 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
5 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
6 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
7 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
8 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
9 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
10 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
11 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
12 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
13 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
14 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
15 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
16 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
17 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
18 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
19 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
20 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
21 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
22 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
23 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
24 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
25 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
26 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
27 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
28 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
29 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
30 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
31 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
32 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
33 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
34 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
35 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
36 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
37 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
38 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
39 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
40 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
41 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
42 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
43 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
44 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
45 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
46 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
47 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
48 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
49 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
50 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
51 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
52 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
53 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
54 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
55 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
56 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
57 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
58 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
59 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
60 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
61 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
62 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
63 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
64 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
65 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
66 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
67 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
68 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
69 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
70 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
71 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
72 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
73 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
74 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
75 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
76 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
77 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
78 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
79 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
80 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
81 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
82 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
83 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
84 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
85 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
86 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
87 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
88 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
89 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
90 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
91 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
92 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
93 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
94 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
95 4 m3.4.4.4.6.64 7 12 20 26 32 44 68 90 108
96 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
97 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
98 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
99 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
100 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
101 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
102 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
103 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
104 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
105 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
106 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
107 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
108 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
109 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
110 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
111 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
112 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
113 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
114 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
115 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
116 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
117 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
118 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
119 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
120 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
121 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
122 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
123 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
124 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
125 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
126 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
127 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
128 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
129 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
130 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
131 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
132 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
133 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
134 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
135 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
136 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
137 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
138 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
139 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
140 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
141 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
142 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
143 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
144 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
145 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
146 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
147 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
148 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
149 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
150 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
151 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
152 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
153 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
154 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
155 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
156 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
157 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
158 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
159 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
160 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
161 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
162 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
163 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
164 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
165 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
166 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
167 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
168 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
169 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
170 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
171 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
172 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
173 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
174 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
175 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
176 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
177 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
178 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
179 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
180 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
181 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
182 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
183 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
184 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
185 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
186 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
187 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
188 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
189 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
190 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
191 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
192 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
193 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
194 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
195 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
196 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
197 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
198 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
199 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
200 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
201 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
202 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
203 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
204 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
205 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
206 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
207 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
208 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
209 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
210 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
211 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
212 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
213 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
214 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
215 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
216 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
217 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
218 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
219 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
220 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
221 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
222 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
223 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
224 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
225 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
226 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
227 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
228 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
229 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
230 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
231 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
232 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
233 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
234 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
235 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
236 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
237 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
238 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
239 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
240 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
241 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
242 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
243 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
244 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
245 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
246 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
247 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
248 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
249 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
250 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
251 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
252 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
253 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
254 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
255 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
256 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
257 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
258 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
259 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
260 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
261 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
262 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
263 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
264 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
265 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
266 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
267 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
268 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
269 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
270 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
271 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
272 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
273 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
274 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
275 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
276 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
277 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
278 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
279 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
280 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
281 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
282 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
283 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
284 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
285 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
286 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101
287 4 13.4.4.6.6.74 8 13 17 24 34 49 67 82 101

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)
bak
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 17 0 0 0 14 27 0 0 0 15 26 0 0 0 15 27 0 0 0 15 28 0 0 0 16 28 0 0 0 16 29 0 0 0 16 30 0 0 0 17 18 0 0 0 17 31 0 0 0 18 32 0 0 0 18 33 0 0 0 19 31 0 0 0 19 33 0 0 0 19 34 0 0 0 20 34 0 0 0 20 35 0 0 0 20 36 0 0 0 21 37 0 0 0 21 38 0 0 0 21 39 0 0 0 22 24 0 0 0 22 40 0 0 0 23 41 0 0 0 23 42 0 0 0 23 43 0 0 0 24 44 0 0 0 25 45 0 0 0 25 46 0 0 0 25 47 0 0 0 26 27 0 0 0 26 47 0 0 0 27 48 0 0 0 28 49 0 0 0 28 50 0 0 0 29 30 0 0 0 29 50 0 0 0 29 51 0 0 0 30 35 0 0 0 30 49 0 0 0 31 33 0 0 0 31 52 0 0 0 32 53 0 0 0 32 54 0 0 0 32 55 0 0 0 33 55 0 0 0 34 56 0 0 0 34 57 0 0 0 35 36 0 0 0 35 56 0 0 0 36 57 0 0 0 36 58 0 0 0 37 38 0 0 0 37 57 1 0 0 37 58 1 0 0 38 41 0 0 0 38 59 0 0 0 39 53 0 1 0 39 58 1 0 0 39 59 0 0 0 40 53 0 1 0 40 55 0 1 0 40 60 0 0 0 41 42 0 0 0 41 61 0 0 0 42 50 0 0 1 42 51 0 0 1 43 45 -1 1 1 43 51 0 0 1 43 61 0 0 0 44 45 -1 1 1 44 47 -1 1 1 44 62 0 0 0 45 46 0 0 0 46 62 1 -1 -1 46 63 0 0 0 47 62 1 -1 -1 48 52 0 0 0 48 64 0 0 0 48 65 0 0 0 49 50 0 0 0 49 65 0 0 0 51 61 0 0 -1 52 66 0 0 0 52 67 0 0 0 53 54 0 0 0 54 60 0 -1 0 54 68 0 0 0 55 60 0 -1 0 56 57 0 0 0 56 67 0 0 0 58 59 -1 0 0 59 69 0 0 0 60 62 0 0 0 61 70 0 0 0 63 68 1 0 -1 63 70 1 -1 -1 63 71 0 0 0 64 65 0 0 0 64 66 0 0 0 64 72 0 0 0 65 67 0 0 0 66 67 0 0 0 66 71 -1 0 0 68 69 0 -1 0 68 72 0 0 1 69 70 0 0 0 69 72 0 1 1 70 71 -1 1 1 71 72 1 0 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
404
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)
404.0
Genus (mofplus-deposit)
73
Shells walked (mofplus-deposit)
10
Computed by (invariants, mofplus-deposit)
mofpp.invariants 2 — ok

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

TD10, exact (rcsr-archive-key)
404.0
Genus (rcsr-archive-key)
73
Shells walked (rcsr-archive-key)
10
Computed by (invariants, rcsr-archive-key)
mofpp.invariants 2 — ok

Rings — the MOF+ deposit, the graph of the uploaded topology file

Net point symbol (mofplus-deposit)
(3.4^2.6^2.7)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, 953.4.4.4.6.6 3.4.4.4.16.16 3.4^3.6^2 4 7 12 20 26 32 44 68 90 108
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, 191, 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, 2873.4.4.6.6.7 3.4.4.6.6.16 3.4^2.6^2.7 4 8 13 17 24 34 49 67 82 101

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

Net point symbol (rcsr-archive-key)
(3.4^2.6^2.7)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, 28, 31, 32, 35, 36, 41, 46, 49, 50, 54, 56, 57, 63, 65, 70, 713.4.4.4.6.6 3.4.4.4.16.16 3.4^3.6^2 4 7 12 20 26 32 44 68 90 108
1, 2, 5, 6, 7, 8, 9, 10, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 26, 27, 29, 30, 33, 34, 37, 38, 39, 40, 42, 43, 44, 45, 47, 48, 51, 52, 53, 55, 58, 59, 60, 61, 62, 64, 66, 67, 68, 693.4.4.6.6.7 3.4.4.6.6.16 3.4^2.6^2.7 4 8 13 17 24 34 49 67 82 101

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
bak
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
88 (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
2390 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.