Net topology

urw-a

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

JSON · mfpx

288 vertices and 528 edges in the unit cell. 90 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 = 10.1444 Å, b = 10.1444 Å, c = 10.1444 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
288
Transitivity pqrs
4, 7, *, *
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 5 0 0 0 4 9 0 0 0 4 13 0 0 0 4 14 0 0 0 5 12 0 0 0 5 15 0 0 0 5 16 0 0 0 6 17 0 0 0 6 18 0 0 0 7 9 0 0 0 7 10 0 0 0 7 19 0 0 0 7 20 0 0 0 8 21 0 0 0 8 22 0 0 0 9 13 0 0 0 9 23 0 0 0 10 12 0 0 0 10 20 0 0 0 10 24 0 0 0 11 25 0 0 0 11 26 0 0 0 12 15 0 0 0 12 27 0 0 0 13 15 0 0 0 13 20 0 0 0 13 28 0 0 0 14 29 0 0 0 14 30 0 0 0 15 20 0 0 0 15 31 0 0 0 16 32 0 0 0 16 33 0 0 0 17 18 0 0 0 17 34 0 0 0 18 35 0 0 0 19 36 0 0 0 19 37 0 0 0 20 38 0 0 0 21 22 0 0 0 21 39 0 0 0 22 40 0 0 0 23 41 0 0 0 23 42 0 0 0 24 43 0 0 0 24 44 0 0 0 25 26 0 0 0 25 45 0 0 0 26 46 0 0 0 27 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 51 0 0 0 30 52 0 0 0 31 53 0 0 0 31 54 0 0 0 32 33 0 0 0 32 55 0 0 0 33 56 0 0 0 34 40 0 0 0 34 46 0 0 0 34 57 0 0 0 35 52 0 0 0 35 56 0 0 0 35 58 0 0 0 36 37 0 0 0 36 59 0 0 0 37 60 0 0 0 38 61 0 0 0 38 62 0 0 0 39 60 0 0 0 39 63 0 0 0 39 64 0 0 0 40 46 0 0 0 40 65 0 0 0 41 42 0 0 0 41 64 0 0 0 42 66 0 0 0 43 44 0 0 0 43 67 0 0 0 44 68 0 0 0 45 68 0 0 0 45 69 0 0 0 45 70 0 0 0 46 71 0 0 0 47 48 0 0 0 47 70 0 0 0 48 72 0 0 0 49 50 0 0 0 49 69 1 0 0 50 71 1 0 0 51 66 0 0 0 51 67 0 1 0 51 71 1 0 0 52 56 0 0 0 52 68 0 1 0 53 54 0 0 0 53 63 0 0 1 54 65 0 0 1 55 59 -1 1 1 55 65 0 0 1 55 72 0 0 0 56 60 -1 1 1 57 59 -1 1 0 57 61 -1 1 0 57 67 -1 1 0 58 62 -1 1 0 58 63 -1 1 1 58 69 0 1 0 59 67 0 0 0 60 64 0 0 0 61 62 0 0 0 63 69 1 0 -1 64 70 1 0 -1 65 72 0 0 -1 66 71 1 0 0 66 72 1 0 -1 68 70 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
4a29c86838cc426dff0b6076e0fad11e (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 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
1 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
2 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
3 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
4 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
5 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
6 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
7 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
8 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
9 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
10 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
11 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
12 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
13 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
14 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
15 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
16 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
17 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
18 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
19 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
20 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
21 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
22 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
23 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
24 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
25 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
26 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
27 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
28 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
29 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
30 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
31 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
32 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
33 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
34 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
35 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
36 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
37 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
38 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
39 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
40 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
41 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
42 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
43 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
44 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
45 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
46 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
47 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
48 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
49 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
50 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
51 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
52 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
53 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
54 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
55 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
56 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
57 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
58 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
59 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
60 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
61 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
62 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
63 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
64 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
65 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
66 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
67 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
68 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
69 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
70 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
71 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
72 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
73 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
74 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
75 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
76 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
77 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
78 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
79 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
80 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
81 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
82 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
83 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
84 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
85 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
86 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
87 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
88 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
89 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
90 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
91 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
92 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
93 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
94 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
95 4 m3.6.6.8.8.84 9 16 22 36 53 76 91 100 134
96 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
97 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
98 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
99 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
100 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
101 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
102 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
103 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
104 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
105 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
106 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
107 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
108 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
109 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
110 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
111 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
112 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
113 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
114 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
115 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
116 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
117 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
118 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
119 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
120 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
121 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
122 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
123 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
124 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
125 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
126 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
127 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
128 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
129 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
130 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
131 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
132 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
133 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
134 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
135 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
136 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
137 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
138 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
139 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
140 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
141 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
142 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
143 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
144 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
145 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
146 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
147 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
148 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
149 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
150 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
151 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
152 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
153 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
154 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
155 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
156 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
157 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
158 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
159 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
160 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
161 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
162 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
163 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
164 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
165 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
166 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
167 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
168 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
169 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
170 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
171 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
172 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
173 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
174 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
175 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
176 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
177 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
178 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
179 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
180 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
181 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
182 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
183 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
184 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
185 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
186 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
187 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
188 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
189 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
190 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
191 3 m3.8.8(2)3 5 14 28 32 49 54 85 121 134
192 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
193 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
194 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
195 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
196 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
197 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
198 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
199 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
200 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
201 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
202 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
203 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
204 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
205 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
206 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
207 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
208 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
209 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
210 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
211 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
212 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
213 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
214 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
215 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
216 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
217 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
218 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
219 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
220 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
221 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
222 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
223 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
224 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
225 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
226 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
227 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
228 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
229 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
230 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
231 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
232 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
233 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
234 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
235 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
236 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
237 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
238 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
239 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 43 67 80 105 136
240 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
241 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
242 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
243 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
244 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
245 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
246 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
247 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
248 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
249 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
250 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
251 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
252 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
253 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
254 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
255 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
256 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
257 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
258 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
259 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
260 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
261 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
262 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
263 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
264 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
265 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
266 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
267 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
268 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
269 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
270 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
271 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
272 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
273 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
274 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
275 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
276 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
277 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
278 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
279 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
280 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
281 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
282 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
283 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
284 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
285 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
286 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148
287 3 mm23.8(2).8(2)3 6 16 25 34 43 50 84 115 148

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)
4, 7 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)
urw-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 5 0 0 0 4 9 0 0 0 4 13 0 0 0 4 14 0 0 0 5 12 0 0 0 5 15 0 0 0 5 16 0 0 0 6 17 0 0 0 6 18 0 0 0 7 9 0 0 0 7 10 0 0 0 7 19 0 0 0 7 20 0 0 0 8 21 0 0 0 8 22 0 0 0 9 13 0 0 0 9 23 0 0 0 10 12 0 0 0 10 20 0 0 0 10 24 0 0 0 11 25 0 0 0 11 26 0 0 0 12 15 0 0 0 12 27 0 0 0 13 15 0 0 0 13 20 0 0 0 13 28 0 0 0 14 29 0 0 0 14 30 0 0 0 15 20 0 0 0 15 31 0 0 0 16 32 0 0 0 16 33 0 0 0 17 18 0 0 0 17 34 0 0 0 18 35 0 0 0 19 36 0 0 0 19 37 0 0 0 20 38 0 0 0 21 22 0 0 0 21 39 0 0 0 22 40 0 0 0 23 41 0 0 0 23 42 0 0 0 24 43 0 0 0 24 44 0 0 0 25 26 0 0 0 25 45 0 0 0 26 46 0 0 0 27 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 51 0 0 0 30 52 0 0 0 31 53 0 0 0 31 54 0 0 0 32 33 0 0 0 32 55 0 0 0 33 56 0 0 0 34 40 0 0 0 34 46 0 0 0 34 57 0 0 0 35 52 0 0 0 35 56 0 0 0 35 58 0 0 0 36 37 0 0 0 36 59 0 0 0 37 60 0 0 0 38 61 0 0 0 38 62 0 0 0 39 60 0 0 0 39 63 0 0 0 39 64 0 0 0 40 46 0 0 0 40 65 0 0 0 41 42 0 0 0 41 64 0 0 0 42 66 0 0 0 43 44 0 0 0 43 67 0 0 0 44 68 0 0 0 45 68 0 0 0 45 69 0 0 0 45 70 0 0 0 46 71 0 0 0 47 48 0 0 0 47 70 0 0 0 48 72 0 0 0 49 50 0 0 0 49 69 1 0 0 50 71 1 0 0 51 66 0 0 0 51 67 0 1 0 51 71 1 0 0 52 56 0 0 0 52 68 0 1 0 53 54 0 0 0 53 63 0 0 1 54 65 0 0 1 55 59 -1 1 1 55 65 0 0 1 55 72 0 0 0 56 60 -1 1 1 57 59 -1 1 0 57 61 -1 1 0 57 67 -1 1 0 58 62 -1 1 0 58 63 -1 1 1 58 69 0 1 0 59 67 0 0 0 60 64 0 0 0 61 62 0 0 0 63 69 1 0 -1 64 70 1 0 -1 65 72 0 0 -1 66 71 1 0 0 66 72 1 0 -1 68 70 0 0 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
530
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)
529.6666666666666
Genus (mofplus-deposit)
61
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)
529.6666666666666
Genus (rcsr-archive-key)
61
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(3.6^2.8^3)2(3^2.4^2.5^2.8^4)
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, 953.6.6.8.8.8 3.6.6.8.8.8 3.6^2.8^3 4 9 16 22 36 53 76 91 100 134
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, 1913.8.8(2) 3.8.8(2) 3.8^2 3 5 14 28 32 49 54 85 121 134
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, 2393.3.4.4.5(2).5(2).8.8.8.8 3.3.4.4.6.6.8.8.8.8 3^2.4^2.5^2.8^4 5 12 17 23 28 43 67 80 105 136
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, 2873.8(2).8(2) 3.8(2).8(2) 3.8^2 3 6 16 25 34 43 50 84 115 148

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

Net point symbol (rcsr-archive-key)
(3.8^2)3(3.6^2.8^3)2(3^2.4^2.5^2.8^4)
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, 8, 9, 11, 12, 14, 193.3.4.4.5(2).5(2).8.8.8.8 3.3.4.4.6.6.8.8.8.8 3^2.4^2.5^2.8^4 5 12 17 23 28 43 67 80 105 136
5, 7, 10, 13, 15, 18, 22, 23, 26, 27, 30, 373.8(2).8(2) 3.8(2).8(2) 3.8^2 3 6 16 25 34 43 50 84 115 148
16, 17, 20, 21, 24, 25, 28, 29, 31, 32, 35, 36, 40, 41, 42, 43, 46, 47, 48, 49, 52, 53, 60, 613.8.8(2) 3.8.8(2) 3.8^2 3 5 14 28 32 49 54 85 121 134
33, 34, 38, 39, 44, 45, 50, 51, 54, 55, 56, 57, 58, 59, 62, 63, 64, 65, 66, 67, 68, 69, 70, 713.6.6.8.8.8 3.6.6.8.8.8 3.6^2.8^3 4 9 16 22 36 53 76 91 100 134

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
urw-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
2315 (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
2388 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.