MOF++

Data › Nets › odf

Net topology

odf

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

JSON · mfpx

260 vertices and 520 edges in the unit cell. 72 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
Im-3 (No. 204)
Cell lengths
a = 7.5922 Å, b = 7.5922 Å, c = 7.5922 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
260
Transitivity pqrs
9, 15, *, *
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 6 0 0 0 2 7 0 0 0 2 8 0 0 0 3 9 0 0 0 3 10 0 0 0 3 11 0 0 0 4 12 0 0 0 4 13 0 0 0 4 14 0 0 0 5 15 0 0 0 5 16 0 0 0 5 17 0 0 0 6 9 0 0 0 6 18 0 0 0 6 19 0 0 0 7 12 0 0 0 7 20 0 0 0 7 21 0 0 0 8 15 0 0 0 8 22 0 0 0 8 23 0 0 0 9 24 0 0 0 9 25 0 0 0 10 13 0 0 0 10 26 0 0 0 10 27 0 0 0 11 16 0 0 0 11 28 0 0 0 11 29 0 0 0 12 30 0 0 0 12 31 0 0 0 13 32 0 0 0 13 33 0 0 0 14 17 0 0 0 14 34 0 0 0 14 35 0 0 0 15 36 0 0 0 15 37 0 0 0 16 38 0 0 0 16 39 0 0 0 17 40 0 0 0 17 41 0 0 0 18 20 0 0 0 18 42 0 0 0 18 43 0 0 0 19 22 0 0 0 19 44 0 0 0 19 45 0 0 0 20 46 0 0 0 20 47 0 0 0 21 23 0 0 0 21 48 0 0 0 21 49 0 0 0 22 50 0 0 0 22 51 0 0 0 23 52 0 0 0 23 53 0 0 0 24 26 0 0 0 24 43 0 0 0 24 54 0 0 0 25 28 0 0 0 25 45 0 0 0 25 55 0 0 0 26 56 0 0 0 26 57 0 0 0 27 29 0 0 0 27 58 0 0 0 27 59 0 0 0 28 60 0 0 0 28 61 0 0 0 29 62 0 0 0 29 63 0 0 0 30 32 0 0 0 30 47 0 0 0 30 64 0 0 0 31 34 0 0 0 31 49 0 0 0 31 65 0 0 0 32 56 0 0 0 32 66 0 0 0 33 35 0 0 0 33 59 0 0 0 33 67 0 0 0 34 68 0 0 0 34 69 0 0 0 35 70 0 0 0 35 71 0 0 0 36 38 0 0 0 36 51 0 0 0 36 72 0 0 0 37 40 0 0 0 37 53 0 0 0 37 73 0 0 0 38 60 0 0 0 38 74 0 0 0 39 41 0 0 0 39 63 0 0 0 39 75 0 0 0 40 69 0 0 0 40 76 0 0 0 41 71 0 0 0 41 77 0 0 0 42 44 0 0 0 42 78 0 0 0 42 79 0 0 0 43 80 0 0 0 43 81 0 0 0 44 82 0 0 0 44 83 0 0 0 45 84 0 0 0 45 85 0 0 0 46 48 0 0 0 46 79 0 0 0 46 86 0 0 0 47 81 0 0 0 47 87 0 0 0 48 88 0 0 0 48 89 0 0 0 49 90 0 0 0 49 91 0 0 0 50 52 0 0 0 50 82 0 0 0 50 92 0 0 0 51 85 0 0 0 51 93 0 0 0 52 88 0 0 0 52 94 0 0 0 53 91 0 0 0 53 95 0 0 0 54 55 0 0 0 54 96 0 0 0 54 97 0 0 0 55 98 0 0 0 55 99 0 0 0 56 81 0 0 0 56 100 0 0 0 57 58 0 0 0 57 97 0 0 0 57 101 0 0 0 58 102 0 0 0 58 103 0 0 0 59 104 0 0 0 59 105 0 0 0 60 85 0 0 0 60 106 0 0 0 61 62 0 0 0 61 99 0 0 0 61 107 0 0 0 62 102 0 0 0 62 108 0 0 0 63 88 1 0 0 63 105 0 0 0 64 65 0 0 0 64 109 0 0 0 64 110 0 0 0 65 111 0 0 0 65 112 0 0 0 66 67 0 0 0 66 110 0 0 0 66 113 0 0 0 67 93 0 1 0 67 114 0 0 0 68 70 0 0 0 68 112 0 0 0 68 115 0 0 0 69 91 0 0 0 69 99 0 0 1 70 93 0 1 0 70 116 0 0 0 71 105 0 0 0 71 117 0 0 0 72 73 0 0 0 72 116 0 -1 0 72 118 0 0 0 73 119 0 0 0 73 120 0 0 0 74 75 0 0 0 74 118 0 0 0 74 121 0 0 0 75 94 1 0 0 75 122 0 0 0 76 77 0 0 0 76 107 0 0 1 76 120 0 0 0 77 122 0 0 0 77 123 0 0 0 78 80 0 0 0 78 116 -1 0 -1 78 117 -1 0 -1 79 108 -1 0 0 79 124 0 0 0 80 96 0 0 0 80 118 -1 1 -1 81 125 0 0 0 82 108 -1 0 0 82 126 0 0 0 83 84 0 0 0 83 117 -1 0 -1 83 123 -1 0 -1 84 98 0 0 0 84 127 0 0 0 85 114 0 -1 0 86 87 0 0 0 86 119 -1 1 -1 86 128 0 0 0 87 109 0 0 0 87 120 -1 1 -1 88 108 -1 0 0 89 90 0 0 0 89 105 -1 0 0 89 128 0 0 0 90 111 0 0 0 90 129 0 0 0 91 98 0 0 1 92 93 0 0 0 92 110 0 -1 0 92 112 0 -1 0 94 101 0 -1 1 94 130 0 0 0 95 101 0 -1 1 95 103 0 -1 1 95 127 0 0 1 96 121 -1 1 -1 96 129 0 0 -1 97 115 0 0 -1 97 130 0 1 -1 98 129 0 0 -1 99 115 0 0 -1 100 101 0 0 0 100 113 0 0 0 100 122 -1 1 -1 102 115 0 0 -1 102 124 1 0 0 103 104 0 0 0 103 119 0 1 -1 104 114 0 0 0 104 128 1 0 0 106 109 1 -1 0 106 111 1 -1 0 106 128 1 -1 0 107 109 1 -1 0 107 126 1 0 0 110 126 0 1 0 111 121 -1 1 0 112 130 0 1 0 113 123 -1 1 -1 113 127 0 1 0 114 127 0 1 0 116 124 1 0 1 117 129 1 0 0 118 125 1 -1 1 119 124 1 -1 1 120 125 1 -1 1 121 130 1 0 0 122 125 1 -1 1 123 126 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
3b85e7160ca8cf1b6adfe8a3dbbc5515 (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: 260 of 260 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. 260 of 260 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 Im-3, 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 m5.5.5.5.5.54 12 24 36 56 80 115 171 225 282
1 4 m5.5.5.5.5.54 12 24 36 56 80 115 171 225 282
2 4 m5.5.5.5.5.54 12 24 36 56 80 115 171 225 282
3 4 m5.5.5.5.5.54 12 24 36 56 80 115 171 225 282
4 4 m5.5.5.5.5.54 12 24 36 56 80 115 171 225 282
5 4 m5.5.5.5.5.54 12 24 36 56 80 115 171 225 282
6 4 m5.5.5.5.5.54 12 24 36 56 80 115 171 225 282
7 4 m5.5.5.5.5.54 12 24 36 56 80 115 171 225 282
8 4 m5.5.5.5.5.54 12 24 36 56 80 115 171 225 282
9 4 m5.5.5.5.5.54 12 24 36 56 80 115 171 225 282
10 4 m5.5.5.5.5.54 12 24 36 56 80 115 171 225 282
11 4 m5.5.5.5.5.54 12 24 36 56 80 115 171 225 282
12 4 m5.5.5.5.5.54 12 24 36 56 80 115 171 225 282
13 4 m5.5.5.5.5.54 12 24 36 56 80 115 171 225 282
14 4 m5.5.5.5.5.54 12 24 36 56 80 115 171 225 282
15 4 m5.5.5.5.5.54 12 24 36 56 80 115 171 225 282
16 4 m5.5.5.5.5.54 12 24 36 56 80 115 171 225 282
17 4 m5.5.5.5.5.54 12 24 36 56 80 115 171 225 282
18 4 m5.5.5.5.5.54 12 24 36 56 80 115 171 225 282
19 4 m5.5.5.5.5.54 12 24 36 56 80 115 171 225 282
20 4 m5.5.5.5.5.54 12 24 36 56 80 115 171 225 282
21 4 m5.5.5.5.5.54 12 24 36 56 80 115 171 225 282
22 4 m5.5.5.5.5.54 12 24 36 56 80 115 171 225 282
23 4 m5.5.5.5.5.54 12 24 36 56 80 115 171 225 282
24 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
25 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
26 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
27 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
28 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
29 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
30 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
31 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
32 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
33 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
34 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
35 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
36 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
37 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
38 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
39 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
40 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
41 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
42 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
43 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
44 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
45 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
46 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
47 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
48 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
49 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
50 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
51 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
52 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
53 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
54 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
55 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
56 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
57 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
58 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
59 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
60 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
61 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
62 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
63 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
64 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
65 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
66 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
67 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
68 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
69 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
70 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
71 4 15.5.5.5.5.54 12 24 39 66 101 138 177 223 285
72 4 35.5.5.5.5.54 12 24 36 61 101 133 171 222 280
73 4 35.5.5.5.5.54 12 24 36 61 101 133 171 222 280
74 4 35.5.5.5.5.54 12 24 36 61 101 133 171 222 280
75 4 35.5.5.5.5.54 12 24 36 61 101 133 171 222 280
76 4 35.5.5.5.5.54 12 24 36 61 101 133 171 222 280
77 4 35.5.5.5.5.54 12 24 36 61 101 133 171 222 280
78 4 35.5.5.5.5.54 12 24 36 61 101 133 171 222 280
79 4 35.5.5.5.5.54 12 24 36 61 101 133 171 222 280
80 4 35.5.5.5.5.54 12 24 36 61 101 133 171 222 280
81 4 35.5.5.5.5.54 12 24 36 61 101 133 171 222 280
82 4 35.5.5.5.5.54 12 24 36 61 101 133 171 222 280
83 4 35.5.5.5.5.54 12 24 36 61 101 133 171 222 280
84 4 35.5.5.5.5.54 12 24 36 61 101 133 171 222 280
85 4 35.5.5.5.5.54 12 24 36 61 101 133 171 222 280
86 4 35.5.5.5.5.54 12 24 36 61 101 133 171 222 280
87 4 35.5.5.5.5.54 12 24 36 61 101 133 171 222 280
88 4 m5.5.5.5.5.54 12 24 40 63 96 131 174 227 281
89 4 m5.5.5.5.5.54 12 24 40 63 96 131 174 227 281
90 4 m5.5.5.5.5.54 12 24 40 63 96 131 174 227 281
91 4 m5.5.5.5.5.54 12 24 40 63 96 131 174 227 281
92 4 m5.5.5.5.5.54 12 24 40 63 96 131 174 227 281
93 4 m5.5.5.5.5.54 12 24 40 63 96 131 174 227 281
94 4 m5.5.5.5.5.54 12 24 40 63 96 131 174 227 281
95 4 m5.5.5.5.5.54 12 24 40 63 96 131 174 227 281
96 4 m5.5.5.5.5.54 12 24 40 63 96 131 174 227 281
97 4 m5.5.5.5.5.54 12 24 40 63 96 131 174 227 281
98 4 m5.5.5.5.5.54 12 24 40 63 96 131 174 227 281
99 4 m5.5.5.5.5.54 12 24 40 63 96 131 174 227 281
100 4 m5.5.5.5.5.54 12 24 40 63 96 131 174 227 281
101 4 m5.5.5.5.5.54 12 24 40 63 96 131 174 227 281
102 4 m5.5.5.5.5.54 12 24 40 63 96 131 174 227 281
103 4 m5.5.5.5.5.54 12 24 40 63 96 131 174 227 281
104 4 m5.5.5.5.5.54 12 24 40 63 96 131 174 227 281
105 4 m5.5.5.5.5.54 12 24 40 63 96 131 174 227 281
106 4 m5.5.5.5.5.54 12 24 40 63 96 131 174 227 281
107 4 m5.5.5.5.5.54 12 24 40 63 96 131 174 227 281
108 4 m5.5.5.5.5.54 12 24 40 63 96 131 174 227 281
109 4 m5.5.5.5.5.54 12 24 40 63 96 131 174 227 281
110 4 m5.5.5.5.5.54 12 24 40 63 96 131 174 227 281
111 4 m5.5.5.5.5.54 12 24 40 63 96 131 174 227 281
112 4 mm25.5.5.5.5.64 12 25 44 76 100 132 181 236 288
113 4 mm25.5.5.5.5.64 12 25 44 76 100 132 181 236 288
114 4 mm25.5.5.5.5.64 12 25 44 76 100 132 181 236 288
115 4 mm25.5.5.5.5.64 12 25 44 76 100 132 181 236 288
116 4 mm25.5.5.5.5.64 12 25 44 76 100 132 181 236 288
117 4 mm25.5.5.5.5.64 12 25 44 76 100 132 181 236 288
118 4 mm25.5.5.5.5.64 12 25 44 76 100 132 181 236 288
119 4 mm25.5.5.5.5.64 12 25 44 76 100 132 181 236 288
120 4 mm25.5.5.5.5.64 12 25 44 76 100 132 181 236 288
121 4 mm25.5.5.5.5.64 12 25 44 76 100 132 181 236 288
122 4 mm25.5.5.5.5.64 12 25 44 76 100 132 181 236 288
123 4 mm25.5.5.5.5.64 12 25 44 76 100 132 181 236 288
124 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
125 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
126 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
127 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
128 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
129 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
130 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
131 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
132 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
133 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
134 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
135 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
136 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
137 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
138 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
139 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
140 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
141 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
142 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
143 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
144 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
145 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
146 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
147 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
148 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
149 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
150 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
151 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
152 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
153 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
154 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
155 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
156 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
157 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
158 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
159 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
160 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
161 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
162 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
163 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
164 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
165 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
166 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
167 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
168 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
169 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
170 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
171 4 15.5.5.5.5.64 12 25 44 72 103 140 187 232 281
172 4 35.5.5.5.5.54 12 24 36 52 80 121 168 228 280
173 4 35.5.5.5.5.54 12 24 36 52 80 121 168 228 280
174 4 35.5.5.5.5.54 12 24 36 52 80 121 168 228 280
175 4 35.5.5.5.5.54 12 24 36 52 80 121 168 228 280
176 4 35.5.5.5.5.54 12 24 36 52 80 121 168 228 280
177 4 35.5.5.5.5.54 12 24 36 52 80 121 168 228 280
178 4 35.5.5.5.5.54 12 24 36 52 80 121 168 228 280
179 4 35.5.5.5.5.54 12 24 36 52 80 121 168 228 280
180 4 35.5.5.5.5.54 12 24 36 52 80 121 168 228 280
181 4 35.5.5.5.5.54 12 24 36 52 80 121 168 228 280
182 4 35.5.5.5.5.54 12 24 36 52 80 121 168 228 280
183 4 35.5.5.5.5.54 12 24 36 52 80 121 168 228 280
184 4 35.5.5.5.5.54 12 24 36 52 80 121 168 228 280
185 4 35.5.5.5.5.54 12 24 36 52 80 121 168 228 280
186 4 35.5.5.5.5.54 12 24 36 52 80 121 168 228 280
187 4 35.5.5.5.5.54 12 24 36 52 80 121 168 228 280
188 4 m5.5.5.6.6.64 12 27 49 74 105 143 188 242 293
189 4 m5.5.5.6.6.64 12 27 49 74 105 143 188 242 293
190 4 m5.5.5.6.6.64 12 27 49 74 105 143 188 242 293
191 4 m5.5.5.6.6.64 12 27 49 74 105 143 188 242 293
192 4 m5.5.5.6.6.64 12 27 49 74 105 143 188 242 293
193 4 m5.5.5.6.6.64 12 27 49 74 105 143 188 242 293
194 4 m5.5.5.6.6.64 12 27 49 74 105 143 188 242 293
195 4 m5.5.5.6.6.64 12 27 49 74 105 143 188 242 293
196 4 m5.5.5.6.6.64 12 27 49 74 105 143 188 242 293
197 4 m5.5.5.6.6.64 12 27 49 74 105 143 188 242 293
198 4 m5.5.5.6.6.64 12 27 49 74 105 143 188 242 293
199 4 m5.5.5.6.6.64 12 27 49 74 105 143 188 242 293
200 4 m5.5.5.6.6.64 12 27 49 74 105 143 188 242 293
201 4 m5.5.5.6.6.64 12 27 49 74 105 143 188 242 293
202 4 m5.5.5.6.6.64 12 27 49 74 105 143 188 242 293
203 4 m5.5.5.6.6.64 12 27 49 74 105 143 188 242 293
204 4 m5.5.5.6.6.64 12 27 49 74 105 143 188 242 293
205 4 m5.5.5.6.6.64 12 27 49 74 105 143 188 242 293
206 4 m5.5.5.6.6.64 12 27 49 74 105 143 188 242 293
207 4 m5.5.5.6.6.64 12 27 49 74 105 143 188 242 293
208 4 m5.5.5.6.6.64 12 27 49 74 105 143 188 242 293
209 4 m5.5.5.6.6.64 12 27 49 74 105 143 188 242 293
210 4 m5.5.5.6.6.64 12 27 49 74 105 143 188 242 293
211 4 m5.5.5.6.6.64 12 27 49 74 105 143 188 242 293
212 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
213 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
214 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
215 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
216 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
217 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
218 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
219 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
220 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
221 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
222 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
223 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
224 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
225 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
226 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
227 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
228 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
229 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
230 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
231 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
232 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
233 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
234 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
235 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
236 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
237 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
238 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
239 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
240 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
241 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
242 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
243 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
244 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
245 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
246 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
247 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
248 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
249 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
250 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
251 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
252 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
253 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
254 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
255 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
256 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
257 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
258 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286
259 4 15.5.5.5.5.64 12 25 43 70 103 142 185 226 286

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)
Im-3 (No. 204)
Transitivity p, q (mofplus-deposit)
9, 15 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)
24
Repeat-unit factor (mofplus-deposit)
2
RCSR identification (mofplus-deposit)
odf
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 6 0 0 0 2 7 0 0 0 2 8 0 0 0 3 9 0 0 0 3 10 0 0 0 3 11 0 0 0 4 12 0 0 0 4 13 0 0 0 4 14 0 0 0 5 15 0 0 0 5 16 0 0 0 5 17 0 0 0 6 9 0 0 0 6 18 0 0 0 6 19 0 0 0 7 12 0 0 0 7 20 0 0 0 7 21 0 0 0 8 15 0 0 0 8 22 0 0 0 8 23 0 0 0 9 24 0 0 0 9 25 0 0 0 10 13 0 0 0 10 26 0 0 0 10 27 0 0 0 11 16 0 0 0 11 28 0 0 0 11 29 0 0 0 12 30 0 0 0 12 31 0 0 0 13 32 0 0 0 13 33 0 0 0 14 17 0 0 0 14 34 0 0 0 14 35 0 0 0 15 36 0 0 0 15 37 0 0 0 16 38 0 0 0 16 39 0 0 0 17 40 0 0 0 17 41 0 0 0 18 20 0 0 0 18 42 0 0 0 18 43 0 0 0 19 22 0 0 0 19 44 0 0 0 19 45 0 0 0 20 46 0 0 0 20 47 0 0 0 21 23 0 0 0 21 48 0 0 0 21 49 0 0 0 22 50 0 0 0 22 51 0 0 0 23 52 0 0 0 23 53 0 0 0 24 26 0 0 0 24 43 0 0 0 24 54 0 0 0 25 28 0 0 0 25 45 0 0 0 25 55 0 0 0 26 56 0 0 0 26 57 0 0 0 27 29 0 0 0 27 58 0 0 0 27 59 0 0 0 28 60 0 0 0 28 61 0 0 0 29 62 0 0 0 29 63 0 0 0 30 32 0 0 0 30 47 0 0 0 30 64 0 0 0 31 34 0 0 0 31 49 0 0 0 31 65 0 0 0 32 56 0 0 0 32 66 0 0 0 33 35 0 0 0 33 59 0 0 0 33 67 0 0 0 34 68 0 0 0 34 69 0 0 0 35 70 0 0 0 35 71 0 0 0 36 38 0 0 0 36 51 0 0 0 36 72 0 0 0 37 40 0 0 0 37 53 0 0 0 37 73 0 0 0 38 60 0 0 0 38 74 0 0 0 39 41 0 0 0 39 63 0 0 0 39 75 0 0 0 40 69 0 0 0 40 76 0 0 0 41 71 0 0 0 41 77 0 0 0 42 44 0 0 0 42 78 0 0 0 42 79 0 0 0 43 80 0 0 0 43 81 0 0 0 44 82 0 0 0 44 83 0 0 0 45 84 0 0 0 45 85 0 0 0 46 48 0 0 0 46 79 0 0 0 46 86 0 0 0 47 81 0 0 0 47 87 0 0 0 48 88 0 0 0 48 89 0 0 0 49 90 0 0 0 49 91 0 0 0 50 52 0 0 0 50 82 0 0 0 50 92 0 0 0 51 85 0 0 0 51 93 0 0 0 52 88 0 0 0 52 94 0 0 0 53 91 0 0 0 53 95 0 0 0 54 55 0 0 0 54 96 0 0 0 54 97 0 0 0 55 98 0 0 0 55 99 0 0 0 56 81 0 0 0 56 100 0 0 0 57 58 0 0 0 57 97 0 0 0 57 101 0 0 0 58 102 0 0 0 58 103 0 0 0 59 104 0 0 0 59 105 0 0 0 60 85 0 0 0 60 106 0 0 0 61 62 0 0 0 61 99 0 0 0 61 107 0 0 0 62 102 0 0 0 62 108 0 0 0 63 88 1 0 0 63 105 0 0 0 64 65 0 0 0 64 109 0 0 0 64 110 0 0 0 65 111 0 0 0 65 112 0 0 0 66 67 0 0 0 66 110 0 0 0 66 113 0 0 0 67 93 0 1 0 67 114 0 0 0 68 70 0 0 0 68 112 0 0 0 68 115 0 0 0 69 91 0 0 0 69 99 0 0 1 70 93 0 1 0 70 116 0 0 0 71 105 0 0 0 71 117 0 0 0 72 73 0 0 0 72 116 0 -1 0 72 118 0 0 0 73 119 0 0 0 73 120 0 0 0 74 75 0 0 0 74 118 0 0 0 74 121 0 0 0 75 94 1 0 0 75 122 0 0 0 76 77 0 0 0 76 107 0 0 1 76 120 0 0 0 77 122 0 0 0 77 123 0 0 0 78 80 0 0 0 78 116 -1 0 -1 78 117 -1 0 -1 79 108 -1 0 0 79 124 0 0 0 80 96 0 0 0 80 118 -1 1 -1 81 125 0 0 0 82 108 -1 0 0 82 126 0 0 0 83 84 0 0 0 83 117 -1 0 -1 83 123 -1 0 -1 84 98 0 0 0 84 127 0 0 0 85 114 0 -1 0 86 87 0 0 0 86 119 -1 1 -1 86 128 0 0 0 87 109 0 0 0 87 120 -1 1 -1 88 108 -1 0 0 89 90 0 0 0 89 105 -1 0 0 89 128 0 0 0 90 111 0 0 0 90 129 0 0 0 91 98 0 0 1 92 93 0 0 0 92 110 0 -1 0 92 112 0 -1 0 94 101 0 -1 1 94 130 0 0 0 95 101 0 -1 1 95 103 0 -1 1 95 127 0 0 1 96 121 -1 1 -1 96 129 0 0 -1 97 115 0 0 -1 97 130 0 1 -1 98 129 0 0 -1 99 115 0 0 -1 100 101 0 0 0 100 113 0 0 0 100 122 -1 1 -1 102 115 0 0 -1 102 124 1 0 0 103 104 0 0 0 103 119 0 1 -1 104 114 0 0 0 104 128 1 0 0 106 109 1 -1 0 106 111 1 -1 0 106 128 1 -1 0 107 109 1 -1 0 107 126 1 0 0 110 126 0 1 0 111 121 -1 1 0 112 130 0 1 0 113 123 -1 1 -1 113 127 0 1 0 114 127 0 1 0 116 124 1 0 1 117 129 1 0 0 118 125 1 -1 1 119 124 1 -1 1 120 125 1 -1 1 121 130 1 0 0 122 125 1 -1 1 123 126 1 0 1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
1075
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)
1075.3692307692309
Genus (mofplus-deposit)
131
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)
1075.3692307692309
Genus (rcsr-archive-key)
131
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)
(5^3.6^3)6(5^5.6)27(5^6)32
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, 235.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 36 56 80 115 171 225 282
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, 715.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 39 66 101 138 177 223 285
72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 875.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 36 61 101 133 171 222 280
88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 1115.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 40 63 96 131 174 227 281
112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 1235.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 44 76 100 132 181 236 288
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, 1715.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 44 72 103 140 187 232 281
172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 1875.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 36 52 80 121 168 228 280
188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 2115.5.5.6.6.6 5.5.5.6.6.6 5^3.6^3 4 12 27 49 74 105 143 188 242 293
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, 2595.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 43 70 103 142 185 226 286

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

Net point symbol (rcsr-archive-key)
(5^3.6^3)6(5^5.6)27(5^6)32
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, 5, 9, 11, 19, 23, 31, 805.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 36 52 80 121 168 228 280
1, 2, 3, 6, 8, 12, 17, 25, 29, 42, 46, 555.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 36 56 80 115 171 225 282
4, 18, 26, 30, 45, 53, 65, 1245.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 36 61 101 133 171 222 280
7, 10, 13, 20, 24, 32, 41, 56, 63, 79, 86, 995.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 40 63 96 131 174 227 281
14, 15, 16, 21, 28, 33, 43, 44, 47, 48, 54, 57, 58, 64, 66, 78, 85, 95, 96, 109, 112, 117, 119, 1215.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 39 66 101 138 177 223 285
22, 27, 34, 77, 100, 1085.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 44 76 100 132 181 236 288
35, 38, 39, 50, 62, 68, 72, 73, 76, 81, 83, 88, 89, 91, 97, 101, 103, 107, 111, 113, 114, 118, 120, 1225.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 43 70 103 142 185 226 286
36, 37, 40, 49, 61, 67, 71, 74, 75, 82, 84, 87, 90, 92, 98, 102, 104, 110, 123, 125, 126, 127, 128, 1295.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 44 72 103 140 187 232 281
51, 52, 59, 60, 69, 70, 93, 94, 105, 106, 115, 1165.5.5.6.6.6 5.5.5.6.6.6 5^3.6^3 4 12 27 49 74 105 143 188 242 293

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 260 of 260 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 260 of 260 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
odf
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
1487 (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
2373 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.