Net topology

reo-t

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

JSON · mfpx

144 vertices and 288 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
Pm-3m (No. 221)
Cell lengths
a = 7.1379 Å, b = 7.1379 Å, c = 7.1379 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
144
Transitivity pqrs
3, 10, *, *
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 7 0 0 0 3 9 0 0 0 3 10 0 0 0 4 8 0 0 0 4 11 0 0 0 4 12 0 0 0 5 10 0 0 0 5 13 0 0 0 5 14 0 0 0 6 15 0 0 0 6 16 0 0 0 6 17 0 0 0 7 16 0 0 0 7 18 0 0 0 8 19 0 0 0 8 20 0 0 0 9 18 0 0 0 9 21 0 0 0 9 22 0 0 0 10 23 0 0 0 10 24 0 0 0 11 20 0 0 0 11 21 0 0 0 11 25 0 0 0 12 25 0 0 0 12 26 0 0 0 12 27 0 0 0 13 17 0 0 0 13 23 0 0 0 13 28 0 0 0 14 28 0 0 0 14 29 0 0 0 14 30 0 0 0 15 31 0 0 0 15 32 0 0 0 15 33 0 0 0 16 34 0 0 0 16 35 0 0 0 17 33 0 0 0 17 35 0 0 0 18 36 0 0 0 18 37 0 0 0 19 38 0 0 0 19 39 0 0 0 19 40 0 0 0 20 37 0 0 0 20 39 0 0 0 21 37 0 0 0 21 41 0 0 0 22 41 0 0 0 22 42 0 0 0 22 43 0 0 0 23 35 0 0 0 23 44 0 0 0 24 44 0 0 0 24 45 0 0 0 24 46 0 0 0 25 47 0 0 0 25 48 0 0 0 26 40 0 0 0 26 47 0 0 0 26 49 0 0 0 27 49 0 0 0 27 50 0 0 0 27 51 0 0 0 28 52 0 0 0 28 53 0 0 0 29 45 0 0 0 29 53 0 0 0 29 54 0 0 0 30 51 0 0 0 30 54 0 0 0 30 55 0 0 0 31 56 0 0 0 31 57 0 0 0 31 58 0 0 0 32 56 0 0 0 32 59 0 0 0 32 60 0 0 0 33 58 0 0 0 33 61 0 0 0 34 57 0 0 0 34 62 0 0 0 34 63 0 0 0 35 63 0 0 0 36 64 0 0 0 36 65 0 0 0 36 66 0 0 0 37 66 0 0 0 38 59 0 0 0 38 67 0 0 0 38 68 0 0 0 39 69 0 0 0 39 70 0 0 0 40 68 0 0 0 40 70 0 0 0 41 71 0 0 0 41 72 0 0 0 42 56 1 0 0 42 71 0 0 0 42 73 0 0 0 43 56 1 0 0 43 60 1 0 0 43 74 0 0 0 44 75 0 0 0 44 76 0 0 0 45 76 0 0 0 45 77 0 0 0 46 74 0 0 0 46 77 0 0 0 46 78 0 0 0 47 70 0 0 0 47 75 0 1 0 48 75 0 1 0 48 79 0 0 0 48 80 0 0 0 49 81 0 0 0 49 82 0 0 0 50 79 0 0 0 50 82 0 0 0 50 83 0 0 0 51 83 0 0 0 51 84 0 0 0 52 85 0 0 0 52 86 0 0 0 52 87 0 0 0 53 76 0 0 0 53 87 0 0 0 54 64 0 0 1 54 65 0 0 1 55 64 0 0 1 55 84 0 0 0 55 86 0 0 0 57 88 0 0 0 57 89 0 0 0 58 89 0 0 0 58 90 0 0 0 59 91 0 0 0 59 92 0 0 0 60 92 0 0 0 60 93 0 0 0 61 90 0 0 0 61 93 0 0 0 61 94 0 0 0 62 88 0 0 0 62 95 0 0 0 62 96 0 0 0 63 89 0 0 0 63 97 0 0 0 64 96 0 0 0 65 98 0 0 0 65 99 0 0 0 66 98 0 0 0 66 100 0 0 0 67 91 0 0 0 67 101 0 0 0 67 102 0 0 0 68 102 0 0 0 68 103 0 0 0 69 97 0 1 0 69 101 0 0 0 69 104 0 0 0 70 97 0 1 0 71 91 1 0 0 71 105 0 0 0 72 91 1 0 0 72 92 1 0 0 72 106 0 0 0 73 99 0 0 0 73 105 0 0 0 73 107 0 0 0 74 90 1 0 0 74 93 1 0 0 75 108 0 0 0 76 108 0 0 0 77 109 0 0 0 77 110 0 0 0 78 90 1 0 0 78 109 0 0 0 78 111 0 0 0 79 108 0 1 0 79 112 0 0 0 80 106 0 0 0 80 111 0 1 0 80 112 0 0 0 81 113 0 0 0 81 114 0 0 0 81 115 0 0 0 82 108 0 1 0 82 115 0 0 0 83 98 0 0 1 83 100 0 0 1 84 100 0 0 1 84 114 0 0 0 85 94 0 0 0 85 116 0 0 0 85 117 0 0 0 86 96 0 0 1 86 117 0 0 0 87 95 0 0 1 87 96 0 0 1 88 118 0 0 0 88 119 0 0 0 89 120 0 0 0 92 121 0 0 0 93 122 0 0 0 94 122 0 0 0 94 123 0 0 0 95 119 0 0 0 95 124 0 0 0 97 120 0 0 0 98 125 0 0 0 99 125 0 0 0 99 126 0 0 0 100 127 0 0 0 101 120 0 1 0 101 128 0 0 0 102 120 0 1 0 102 129 0 0 0 103 121 0 0 0 103 129 0 0 0 103 130 0 0 0 104 124 0 1 0 104 127 0 0 0 104 128 0 0 0 105 125 0 0 0 105 131 0 0 0 106 121 1 0 0 106 129 1 0 0 107 118 1 0 0 107 126 0 0 0 107 132 0 0 0 109 123 1 0 0 109 133 0 0 0 110 122 1 0 0 110 123 1 0 0 110 126 0 0 1 111 129 1 -1 0 111 133 0 0 0 112 133 0 1 0 112 134 0 0 0 113 130 0 0 0 113 135 0 0 0 113 136 0 0 0 114 127 0 0 1 114 136 0 0 0 115 124 0 1 1 115 127 0 0 1 116 118 0 0 1 116 119 0 0 1 116 123 0 0 0 117 118 0 0 1 117 132 -1 0 1 119 137 0 0 0 121 138 0 0 0 122 139 0 0 0 124 137 0 0 0 125 140 0 0 0 126 139 1 0 -1 128 137 0 1 0 128 141 0 0 0 130 138 0 0 0 130 142 0 0 0 131 140 0 0 0 131 141 1 0 0 131 143 0 0 0 132 139 1 0 -1 132 143 0 0 0 133 142 1 -1 0 134 138 1 0 0 134 140 0 0 1 134 142 1 0 0 135 137 0 1 1 135 141 0 0 1 135 142 0 0 0 136 141 0 0 1 136 143 -1 0 1 138 144 0 0 0 139 144 0 0 0 140 144 1 0 -1 143 144 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
7a84d488b6a310910aa5dafc6c9fd49f (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: 144 of 144 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. 144 of 144 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 Pm-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 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
1 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
2 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
3 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
4 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
5 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
6 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
7 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
8 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
9 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
10 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
11 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
12 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
13 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
14 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
15 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
16 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
17 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
18 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
19 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
20 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
21 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
22 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
23 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
24 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
25 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
26 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
27 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
28 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
29 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
30 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
31 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
32 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
33 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
34 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
35 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
36 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
37 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
38 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
39 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
40 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
41 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
42 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
43 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
44 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
45 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
46 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
47 4 14.4.4.6(2).6(2).8(4)4 9 16 25 37 52 70 92 118 149
48 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
49 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
50 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
51 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
52 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
53 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
54 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
55 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
56 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
57 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
58 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
59 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
60 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
61 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
62 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
63 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
64 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
65 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
66 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
67 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
68 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
69 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
70 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
71 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
72 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
73 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
74 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
75 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
76 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
77 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
78 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
79 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
80 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
81 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
82 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
83 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
84 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
85 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
86 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
87 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
88 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
89 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
90 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
91 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
92 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
93 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
94 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
95 4 14.4.4.6.6(2).8(3)4 9 17 28 41 57 77 100 125 152
96 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
97 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
98 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
99 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
100 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
101 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
102 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
103 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
104 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
105 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
106 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
107 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
108 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
109 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
110 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
111 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
112 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
113 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
114 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
115 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
116 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
117 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
118 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
119 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
120 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
121 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
122 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
123 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
124 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
125 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
126 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
127 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
128 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
129 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
130 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
131 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
132 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
133 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
134 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
135 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
136 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
137 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
138 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
139 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
140 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
141 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
142 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149
143 4 14.4.4.6(2).6(2).8(4)4 9 16 26 40 57 76 97 121 149

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)
Pm-3m (No. 221)
Transitivity p, q (mofplus-deposit)
3, 10 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)
1
RCSR identification (mofplus-deposit)
reo-t
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 7 0 0 0 3 9 0 0 0 3 10 0 0 0 4 8 0 0 0 4 11 0 0 0 4 12 0 0 0 5 10 0 0 0 5 13 0 0 0 5 14 0 0 0 6 15 0 0 0 6 16 0 0 0 6 17 0 0 0 7 16 0 0 0 7 18 0 0 0 8 19 0 0 0 8 20 0 0 0 9 18 0 0 0 9 21 0 0 0 9 22 0 0 0 10 23 0 0 0 10 24 0 0 0 11 20 0 0 0 11 21 0 0 0 11 25 0 0 0 12 25 0 0 0 12 26 0 0 0 12 27 0 0 0 13 17 0 0 0 13 23 0 0 0 13 28 0 0 0 14 28 0 0 0 14 29 0 0 0 14 30 0 0 0 15 31 0 0 0 15 32 0 0 0 15 33 0 0 0 16 34 0 0 0 16 35 0 0 0 17 33 0 0 0 17 35 0 0 0 18 36 0 0 0 18 37 0 0 0 19 38 0 0 0 19 39 0 0 0 19 40 0 0 0 20 37 0 0 0 20 39 0 0 0 21 37 0 0 0 21 41 0 0 0 22 41 0 0 0 22 42 0 0 0 22 43 0 0 0 23 35 0 0 0 23 44 0 0 0 24 44 0 0 0 24 45 0 0 0 24 46 0 0 0 25 47 0 0 0 25 48 0 0 0 26 40 0 0 0 26 47 0 0 0 26 49 0 0 0 27 49 0 0 0 27 50 0 0 0 27 51 0 0 0 28 52 0 0 0 28 53 0 0 0 29 45 0 0 0 29 53 0 0 0 29 54 0 0 0 30 51 0 0 0 30 54 0 0 0 30 55 0 0 0 31 56 0 0 0 31 57 0 0 0 31 58 0 0 0 32 56 0 0 0 32 59 0 0 0 32 60 0 0 0 33 58 0 0 0 33 61 0 0 0 34 57 0 0 0 34 62 0 0 0 34 63 0 0 0 35 63 0 0 0 36 64 0 0 0 36 65 0 0 0 36 66 0 0 0 37 66 0 0 0 38 59 0 0 0 38 67 0 0 0 38 68 0 0 0 39 69 0 0 0 39 70 0 0 0 40 68 0 0 0 40 70 0 0 0 41 71 0 0 0 41 72 0 0 0 42 56 1 0 0 42 71 0 0 0 42 73 0 0 0 43 56 1 0 0 43 60 1 0 0 43 74 0 0 0 44 75 0 0 0 44 76 0 0 0 45 76 0 0 0 45 77 0 0 0 46 74 0 0 0 46 77 0 0 0 46 78 0 0 0 47 70 0 0 0 47 75 0 1 0 48 75 0 1 0 48 79 0 0 0 48 80 0 0 0 49 81 0 0 0 49 82 0 0 0 50 79 0 0 0 50 82 0 0 0 50 83 0 0 0 51 83 0 0 0 51 84 0 0 0 52 85 0 0 0 52 86 0 0 0 52 87 0 0 0 53 76 0 0 0 53 87 0 0 0 54 64 0 0 1 54 65 0 0 1 55 64 0 0 1 55 84 0 0 0 55 86 0 0 0 57 88 0 0 0 57 89 0 0 0 58 89 0 0 0 58 90 0 0 0 59 91 0 0 0 59 92 0 0 0 60 92 0 0 0 60 93 0 0 0 61 90 0 0 0 61 93 0 0 0 61 94 0 0 0 62 88 0 0 0 62 95 0 0 0 62 96 0 0 0 63 89 0 0 0 63 97 0 0 0 64 96 0 0 0 65 98 0 0 0 65 99 0 0 0 66 98 0 0 0 66 100 0 0 0 67 91 0 0 0 67 101 0 0 0 67 102 0 0 0 68 102 0 0 0 68 103 0 0 0 69 97 0 1 0 69 101 0 0 0 69 104 0 0 0 70 97 0 1 0 71 91 1 0 0 71 105 0 0 0 72 91 1 0 0 72 92 1 0 0 72 106 0 0 0 73 99 0 0 0 73 105 0 0 0 73 107 0 0 0 74 90 1 0 0 74 93 1 0 0 75 108 0 0 0 76 108 0 0 0 77 109 0 0 0 77 110 0 0 0 78 90 1 0 0 78 109 0 0 0 78 111 0 0 0 79 108 0 1 0 79 112 0 0 0 80 106 0 0 0 80 111 0 1 0 80 112 0 0 0 81 113 0 0 0 81 114 0 0 0 81 115 0 0 0 82 108 0 1 0 82 115 0 0 0 83 98 0 0 1 83 100 0 0 1 84 100 0 0 1 84 114 0 0 0 85 94 0 0 0 85 116 0 0 0 85 117 0 0 0 86 96 0 0 1 86 117 0 0 0 87 95 0 0 1 87 96 0 0 1 88 118 0 0 0 88 119 0 0 0 89 120 0 0 0 92 121 0 0 0 93 122 0 0 0 94 122 0 0 0 94 123 0 0 0 95 119 0 0 0 95 124 0 0 0 97 120 0 0 0 98 125 0 0 0 99 125 0 0 0 99 126 0 0 0 100 127 0 0 0 101 120 0 1 0 101 128 0 0 0 102 120 0 1 0 102 129 0 0 0 103 121 0 0 0 103 129 0 0 0 103 130 0 0 0 104 124 0 1 0 104 127 0 0 0 104 128 0 0 0 105 125 0 0 0 105 131 0 0 0 106 121 1 0 0 106 129 1 0 0 107 118 1 0 0 107 126 0 0 0 107 132 0 0 0 109 123 1 0 0 109 133 0 0 0 110 122 1 0 0 110 123 1 0 0 110 126 0 0 1 111 129 1 -1 0 111 133 0 0 0 112 133 0 1 0 112 134 0 0 0 113 130 0 0 0 113 135 0 0 0 113 136 0 0 0 114 127 0 0 1 114 136 0 0 0 115 124 0 1 1 115 127 0 0 1 116 118 0 0 1 116 119 0 0 1 116 123 0 0 0 117 118 0 0 1 117 132 -1 0 1 119 137 0 0 0 121 138 0 0 0 122 139 0 0 0 124 137 0 0 0 125 140 0 0 0 126 139 1 0 -1 128 137 0 1 0 128 141 0 0 0 130 138 0 0 0 130 142 0 0 0 131 140 0 0 0 131 141 1 0 0 131 143 0 0 0 132 139 1 0 -1 132 143 0 0 0 133 142 1 -1 0 134 138 1 0 0 134 140 0 0 1 134 142 1 0 0 135 137 0 1 1 135 141 0 0 1 135 142 0 0 0 136 141 0 0 1 136 143 -1 0 1 138 144 0 0 0 139 144 0 0 0 140 144 1 0 -1 143 144 1 0 -1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
593
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)
593.3333333333334
Genus (mofplus-deposit)
145
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)
593.3333333333334
Genus (rcsr-archive-key)
145
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)
(4^3.6^2.8)
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, 474.4.4.6(2).6(2).8(4) 4.4.4.6.6.8 4^3.6^2.8 4 9 16 25 37 52 70 92 118 149
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, 954.4.4.6.6(2).8(3) 4.4.4.6.8.8 4^3.6^2.8 4 9 17 28 41 57 77 100 125 152
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, 1434.4.4.6(2).6(2).8(4) 4.4.4.6.6.8 4^3.6^2.8 4 9 16 26 40 57 76 97 121 149

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

Net point symbol (rcsr-archive-key)
(4^3.6^2.8)
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, 3, 4, 5, 7, 11, 12, 13, 14, 16, 18, 25, 26, 27, 29, 31, 32, 37, 39, 48, 50, 51, 54, 58, 59, 60, 67, 80, 83, 84, 85, 91, 92, 93, 102, 112, 113, 116, 120, 121, 129, 131, 135, 137, 138, 142, 1434.4.4.6(2).6(2).8(4) 4.4.4.6.6.8 4^3.6^2.8 4 9 16 25 37 52 70 92 118 149
2, 6, 9, 10, 15, 19, 22, 24, 28, 30, 34, 38, 42, 46, 49, 52, 53, 55, 57, 63, 66, 69, 71, 73, 81, 82, 86, 89, 90, 95, 99, 101, 105, 106, 109, 114, 115, 117, 122, 125, 126, 128, 130, 133, 134, 139, 140, 1414.4.4.6(2).6(2).8(4) 4.4.4.6.6.8 4^3.6^2.8 4 9 16 26 40 57 76 97 121 149
8, 17, 20, 21, 23, 33, 35, 36, 40, 41, 43, 44, 45, 47, 56, 61, 62, 64, 65, 68, 70, 72, 74, 75, 76, 77, 78, 79, 87, 88, 94, 96, 97, 98, 100, 103, 104, 107, 108, 110, 111, 118, 119, 123, 124, 127, 132, 1364.4.4.6.6(2).8(3) 4.4.4.6.8.8 4^3.6^2.8 4 9 17 28 41 57 77 100 125 152

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 144 of 144 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 144 of 144 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
reo-t
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
1650 (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
2281 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.