MOF++

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Net topology

etk

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

JSON · mfpx

256 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-3c (No. 226)
Cell lengths
a = 9.1989 Å, b = 9.1989 Å, c = 9.1989 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
256
Transitivity pqrs
2, 3, *, *
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 2 5 0 0 0 2 6 0 0 0 3 7 0 0 0 3 8 0 0 0 4 9 0 0 0 4 10 0 0 0 5 11 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 17 0 0 0 8 18 0 0 0 9 19 0 0 0 9 20 0 0 0 10 21 0 0 0 10 22 0 0 0 11 23 0 0 0 11 24 0 0 0 12 25 0 0 0 12 26 0 0 0 13 27 0 0 0 13 28 0 0 0 14 29 0 0 0 14 30 0 0 0 15 24 0 0 0 15 31 0 0 0 16 28 1 0 0 16 32 0 0 0 17 33 0 0 0 17 34 0 0 0 18 35 0 0 0 18 36 0 0 0 19 34 0 1 0 19 37 0 0 0 20 30 0 0 0 20 38 0 0 0 21 31 0 0 0 21 39 0 0 0 22 25 0 0 1 22 35 0 0 0 23 40 0 0 0 23 41 0 0 0 24 42 0 0 0 25 43 0 0 0 26 44 0 0 0 26 45 0 0 0 27 43 0 0 0 27 46 0 0 0 28 47 0 0 0 29 48 0 0 0 29 49 0 0 0 30 41 -1 0 1 31 50 0 0 0 32 48 1 0 0 32 51 0 0 0 33 51 0 0 0 33 52 0 0 0 34 53 0 0 0 35 54 0 0 0 36 42 -1 -1 1 36 55 0 0 0 37 48 1 1 0 37 50 0 0 0 38 47 0 0 0 38 52 0 1 0 39 40 0 0 1 39 47 1 0 0 40 56 0 0 0 41 57 0 0 0 42 58 0 0 0 43 56 0 0 0 44 57 0 0 0 44 59 0 0 0 45 58 -1 -1 0 45 60 0 0 0 46 59 0 1 0 46 61 0 0 0 49 61 -1 -1 1 49 62 0 0 0 50 60 1 1 0 51 63 0 0 0 52 59 0 0 0 53 58 -1 -1 1 53 61 0 -1 1 54 60 0 0 1 54 63 -1 0 1 55 56 -1 -1 1 55 62 0 0 0 57 64 0 0 0 62 64 -1 0 1 63 64 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
e08e6bae9e322657ec0dd8cd208210e8 (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: 256 of 256 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. 256 of 256 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-3c, 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 3 38.8.83 6 12 21 33 48 69 93 116 144
1 3 38.8.83 6 12 21 33 48 69 93 116 144
2 3 38.8.83 6 12 21 33 48 69 93 116 144
3 3 38.8.83 6 12 21 33 48 69 93 116 144
4 3 38.8.83 6 12 21 33 48 69 93 116 144
5 3 38.8.83 6 12 21 33 48 69 93 116 144
6 3 38.8.83 6 12 21 33 48 69 93 116 144
7 3 38.8.83 6 12 21 33 48 69 93 116 144
8 3 38.8.83 6 12 21 33 48 69 93 116 144
9 3 38.8.83 6 12 21 33 48 69 93 116 144
10 3 38.8.83 6 12 21 33 48 69 93 116 144
11 3 38.8.83 6 12 21 33 48 69 93 116 144
12 3 38.8.83 6 12 21 33 48 69 93 116 144
13 3 38.8.83 6 12 21 33 48 69 93 116 144
14 3 38.8.83 6 12 21 33 48 69 93 116 144
15 3 38.8.83 6 12 21 33 48 69 93 116 144
16 3 38.8.83 6 12 21 33 48 69 93 116 144
17 3 38.8.83 6 12 21 33 48 69 93 116 144
18 3 38.8.83 6 12 21 33 48 69 93 116 144
19 3 38.8.83 6 12 21 33 48 69 93 116 144
20 3 38.8.83 6 12 21 33 48 69 93 116 144
21 3 38.8.83 6 12 21 33 48 69 93 116 144
22 3 38.8.83 6 12 21 33 48 69 93 116 144
23 3 38.8.83 6 12 21 33 48 69 93 116 144
24 3 38.8.83 6 12 21 33 48 69 93 116 144
25 3 38.8.83 6 12 21 33 48 69 93 116 144
26 3 38.8.83 6 12 21 33 48 69 93 116 144
27 3 38.8.83 6 12 21 33 48 69 93 116 144
28 3 38.8.83 6 12 21 33 48 69 93 116 144
29 3 38.8.83 6 12 21 33 48 69 93 116 144
30 3 38.8.83 6 12 21 33 48 69 93 116 144
31 3 38.8.83 6 12 21 33 48 69 93 116 144
32 3 38.8.83 6 12 21 33 48 69 93 116 144
33 3 38.8.83 6 12 21 33 48 69 93 116 144
34 3 38.8.83 6 12 21 33 48 69 93 116 144
35 3 38.8.83 6 12 21 33 48 69 93 116 144
36 3 38.8.83 6 12 21 33 48 69 93 116 144
37 3 38.8.83 6 12 21 33 48 69 93 116 144
38 3 38.8.83 6 12 21 33 48 69 93 116 144
39 3 38.8.83 6 12 21 33 48 69 93 116 144
40 3 38.8.83 6 12 21 33 48 69 93 116 144
41 3 38.8.83 6 12 21 33 48 69 93 116 144
42 3 38.8.83 6 12 21 33 48 69 93 116 144
43 3 38.8.83 6 12 21 33 48 69 93 116 144
44 3 38.8.83 6 12 21 33 48 69 93 116 144
45 3 38.8.83 6 12 21 33 48 69 93 116 144
46 3 38.8.83 6 12 21 33 48 69 93 116 144
47 3 38.8.83 6 12 21 33 48 69 93 116 144
48 3 38.8.83 6 12 21 33 48 69 93 116 144
49 3 38.8.83 6 12 21 33 48 69 93 116 144
50 3 38.8.83 6 12 21 33 48 69 93 116 144
51 3 38.8.83 6 12 21 33 48 69 93 116 144
52 3 38.8.83 6 12 21 33 48 69 93 116 144
53 3 38.8.83 6 12 21 33 48 69 93 116 144
54 3 38.8.83 6 12 21 33 48 69 93 116 144
55 3 38.8.83 6 12 21 33 48 69 93 116 144
56 3 38.8.83 6 12 21 33 48 69 93 116 144
57 3 38.8.83 6 12 21 33 48 69 93 116 144
58 3 38.8.83 6 12 21 33 48 69 93 116 144
59 3 38.8.83 6 12 21 33 48 69 93 116 144
60 3 38.8.83 6 12 21 33 48 69 93 116 144
61 3 38.8.83 6 12 21 33 48 69 93 116 144
62 3 38.8.83 6 12 21 33 48 69 93 116 144
63 3 38.8.83 6 12 21 33 48 69 93 116 144
64 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
65 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
66 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
67 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
68 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
69 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
70 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
71 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
72 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
73 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
74 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
75 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
76 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
77 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
78 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
79 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
80 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
81 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
82 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
83 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
84 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
85 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
86 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
87 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
88 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
89 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
90 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
91 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
92 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
93 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
94 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
95 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
96 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
97 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
98 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
99 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
100 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
101 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
102 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
103 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
104 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
105 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
106 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
107 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
108 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
109 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
110 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
111 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
112 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
113 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
114 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
115 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
116 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
117 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
118 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
119 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
120 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
121 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
122 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
123 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
124 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
125 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
126 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
127 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
128 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
129 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
130 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
131 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
132 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
133 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
134 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
135 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
136 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
137 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
138 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
139 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
140 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
141 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
142 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
143 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
144 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
145 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
146 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
147 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
148 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
149 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
150 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
151 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
152 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
153 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
154 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
155 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
156 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
157 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
158 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
159 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
160 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
161 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
162 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
163 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
164 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
165 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
166 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
167 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
168 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
169 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
170 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
171 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
172 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
173 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
174 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
175 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
176 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
177 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
178 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
179 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
180 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
181 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
182 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
183 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
184 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
185 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
186 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
187 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
188 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
189 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
190 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
191 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
192 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
193 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
194 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
195 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
196 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
197 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
198 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
199 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
200 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
201 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
202 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
203 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
204 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
205 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
206 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
207 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
208 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
209 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
210 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
211 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
212 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
213 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
214 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
215 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
216 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
217 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
218 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
219 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
220 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
221 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
222 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
223 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
224 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
225 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
226 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
227 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
228 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
229 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
230 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
231 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
232 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
233 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
234 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
235 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
236 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
237 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
238 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
239 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
240 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
241 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
242 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
243 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
244 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
245 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
246 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
247 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
248 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
249 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
250 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
251 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
252 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
253 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
254 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142
255 3 18.8.8(2)3 6 12 20 31 47 66 88 114 142

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-3c (No. 226)
Transitivity p, q (mofplus-deposit)
2, 3 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)
etk
Computed Systre key (mofplus-deposit)
3 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 2 5 0 0 0 2 6 0 0 0 3 7 0 0 0 3 8 0 0 0 4 9 0 0 0 4 10 0 0 0 5 11 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 17 0 0 0 8 18 0 0 0 9 19 0 0 0 9 20 0 0 0 10 21 0 0 0 10 22 0 0 0 11 23 0 0 0 11 24 0 0 0 12 25 0 0 0 12 26 0 0 0 13 27 0 0 0 13 28 0 0 0 14 29 0 0 0 14 30 0 0 0 15 24 0 0 0 15 31 0 0 0 16 28 1 0 0 16 32 0 0 0 17 33 0 0 0 17 34 0 0 0 18 35 0 0 0 18 36 0 0 0 19 34 0 1 0 19 37 0 0 0 20 30 0 0 0 20 38 0 0 0 21 31 0 0 0 21 39 0 0 0 22 25 0 0 1 22 35 0 0 0 23 40 0 0 0 23 41 0 0 0 24 42 0 0 0 25 43 0 0 0 26 44 0 0 0 26 45 0 0 0 27 43 0 0 0 27 46 0 0 0 28 47 0 0 0 29 48 0 0 0 29 49 0 0 0 30 41 -1 0 1 31 50 0 0 0 32 48 1 0 0 32 51 0 0 0 33 51 0 0 0 33 52 0 0 0 34 53 0 0 0 35 54 0 0 0 36 42 -1 -1 1 36 55 0 0 0 37 48 1 1 0 37 50 0 0 0 38 47 0 0 0 38 52 0 1 0 39 40 0 0 1 39 47 1 0 0 40 56 0 0 0 41 57 0 0 0 42 58 0 0 0 43 56 0 0 0 44 57 0 0 0 44 59 0 0 0 45 58 -1 -1 0 45 60 0 0 0 46 59 0 1 0 46 61 0 0 0 49 61 -1 -1 1 49 62 0 0 0 50 60 1 1 0 51 63 0 0 0 52 59 0 0 0 53 58 -1 -1 1 53 61 0 -1 1 54 60 0 0 1 54 63 -1 0 1 55 56 -1 -1 1 55 62 0 0 0 57 64 0 0 0 62 64 -1 0 1 63 64 0 0 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
534
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)
534.0
Genus (mofplus-deposit)
33
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)
534.0
Genus (rcsr-archive-key)
33
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)
(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, 638.8.8 8.8.8 8^3 3 6 12 21 33 48 69 93 116 144
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, 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, 2558.8.8(2) 8.8.8(2) 8^3 3 6 12 20 31 47 66 88 114 142

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

Net point symbol (rcsr-archive-key)
(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, 2, 3, 4, 5, 6, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 22, 24, 27, 29, 30, 31, 32, 33, 34, 35, 36, 37, 39, 41, 42, 43, 44, 45, 46, 47, 48, 50, 53, 55, 56, 57, 58, 59, 60, 61, 638.8.8(2) 8.8.8(2) 8^3 3 6 12 20 31 47 66 88 114 142
1, 7, 8, 15, 21, 23, 25, 26, 28, 38, 40, 49, 51, 52, 54, 628.8.8 8.8.8 8^3 3 6 12 21 33 48 69 93 116 144

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 256 of 256 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 256 of 256 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
etk
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
643 (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
2367 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.