Net topology

icd-a

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

JSON · mfpx

192 vertices and 384 edges in the unit cell. 96 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
Ia-3d (No. 230)
Cell lengths
a = 6.9970 Å, b = 6.9970 Å, c = 6.9970 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
192
Transitivity pqrs
2, 6, *, *
Catenated
no
No, computed from the graph of the net itself rather than read off its name: mofpp.periodicity v1 finds a single copy, so it is not interpenetrated on the MOF+ deposit, the graph of the uploaded topology file. Interpenetration is counted here as the number of separate copies of the net that share one repeat unit, so this is a measurement of the topology and not a marker in a string.

Canonical key

Systre key
3 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 1 5 0 0 0 2 3 0 0 0 2 4 0 0 0 2 6 0 0 0 3 4 0 0 0 3 7 0 0 0 4 8 0 0 0 5 9 0 0 0 5 10 0 0 0 5 11 0 0 0 6 12 0 0 0 6 13 0 0 0 6 14 0 0 0 7 15 0 0 0 7 16 0 0 0 7 17 0 0 0 8 18 0 0 0 8 19 0 0 0 8 20 0 0 0 9 10 0 0 0 9 11 0 0 0 9 21 0 0 0 10 11 0 0 0 10 22 0 0 0 11 23 0 0 0 12 13 0 0 0 12 14 0 0 0 12 24 0 0 0 13 14 0 0 0 13 25 0 0 0 14 26 0 0 0 15 16 0 0 0 15 17 0 0 0 15 27 0 0 0 16 17 0 0 0 16 28 0 0 0 17 29 0 0 0 18 19 0 0 0 18 20 0 0 0 18 30 0 0 0 19 20 0 0 0 19 31 0 0 0 20 32 0 0 0 21 29 1 0 0 21 33 0 0 0 21 34 0 0 0 22 27 0 1 0 22 35 0 0 0 22 36 0 0 0 23 25 -1 0 1 23 28 0 0 1 23 31 0 1 0 24 32 1 0 -1 24 37 0 0 0 24 38 0 0 0 25 28 1 0 0 25 31 1 1 -1 26 30 0 1 -1 26 39 0 0 0 26 40 0 0 0 27 35 0 -1 0 27 36 0 -1 0 28 31 0 1 -1 29 33 -1 0 0 29 34 -1 0 0 30 39 0 -1 1 30 40 0 -1 1 32 37 -1 0 1 32 38 -1 0 1 33 34 0 0 0 33 41 0 0 0 34 42 0 0 0 35 36 0 0 0 35 43 0 0 0 36 44 0 0 0 37 38 0 0 0 37 45 0 0 0 38 46 0 0 0 39 40 0 0 0 39 47 0 0 0 40 48 0 0 0 41 44 1 0 -1 41 49 0 0 0 41 50 0 0 0 42 43 0 -1 0 42 51 0 0 0 42 52 0 0 0 43 51 0 1 0 43 52 0 1 0 44 49 -1 0 1 44 50 -1 0 1 45 47 1 0 0 45 53 0 0 0 45 54 0 0 0 46 48 1 0 -1 46 55 0 0 0 46 56 0 0 0 47 53 -1 0 0 47 54 -1 0 0 48 55 -1 0 1 48 56 -1 0 1 49 50 0 0 0 49 57 0 0 0 50 58 0 0 0 51 52 0 0 0 51 59 0 0 0 52 60 0 0 0 53 54 0 0 0 53 61 0 0 0 54 62 0 0 0 55 56 0 0 0 55 63 0 0 0 56 64 0 0 0 57 59 0 1 -1 57 65 0 0 0 57 66 0 0 0 58 60 0 1 0 58 67 0 0 0 58 68 0 0 0 59 65 0 -1 1 59 66 0 -1 1 60 67 0 -1 0 60 68 0 -1 0 61 64 1 0 0 61 69 0 0 0 61 70 0 0 0 62 63 0 -1 1 62 71 0 0 0 62 72 0 0 0 63 71 0 1 -1 63 72 0 1 -1 64 69 -1 0 0 64 70 -1 0 0 65 66 0 0 0 65 73 0 0 0 66 74 0 0 0 67 68 0 0 0 67 75 0 0 0 68 76 0 0 0 69 70 0 0 0 69 77 0 0 0 70 78 0 0 0 71 72 0 0 0 71 79 0 0 0 72 80 0 0 0 73 76 1 0 -1 73 81 0 0 0 73 82 0 0 0 74 75 0 1 -1 74 83 0 0 0 74 84 0 0 0 75 83 0 -1 1 75 84 0 -1 1 76 81 -1 0 1 76 82 -1 0 1 77 80 1 0 0 77 85 0 0 0 77 86 0 0 0 78 79 0 1 0 78 87 0 0 0 78 88 0 0 0 79 87 0 -1 0 79 88 0 -1 0 80 85 -1 0 0 80 86 -1 0 0 81 82 0 0 0 81 89 0 0 0 82 90 0 0 0 83 84 0 0 0 83 91 0 0 0 84 92 0 0 0 85 86 0 0 0 85 93 0 0 0 86 94 0 0 0 87 88 0 0 0 87 95 0 0 0 88 96 0 0 0 89 92 1 0 -1 89 94 0 1 -1 89 96 0 0 -1 90 91 0 -1 0 90 93 -1 1 -1 90 95 -1 0 0 91 93 -1 2 -1 91 95 -1 1 0 92 94 -1 1 0 92 96 -1 0 0 93 95 0 -1 1 94 96 0 -1 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
968a604e021869c958d50f8e89156844 (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: 192 of 192 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. 192 of 192 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 Ia-3d, 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 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
1 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
2 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
3 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
4 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
5 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
6 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
7 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
8 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
9 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
10 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
11 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
12 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
13 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
14 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
15 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
16 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
17 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
18 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
19 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
20 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
21 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
22 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
23 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
24 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
25 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
26 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
27 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
28 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
29 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
30 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
31 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
32 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
33 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
34 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
35 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
36 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
37 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
38 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
39 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
40 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
41 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
42 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
43 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
44 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
45 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
46 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
47 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
48 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
49 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
50 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
51 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
52 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
53 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
54 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
55 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
56 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
57 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
58 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
59 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
60 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
61 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
62 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
63 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
64 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
65 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
66 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
67 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
68 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
69 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
70 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
71 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
72 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
73 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
74 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
75 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
76 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
77 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
78 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
79 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
80 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
81 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
82 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
83 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
84 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
85 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
86 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
87 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
88 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
89 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
90 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
91 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
92 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
93 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
94 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
95 4 13.3.3.12.12(2).13(3)4 6 12 18 36 51 84 118 204 259
96 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
97 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
98 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
99 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
100 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
101 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
102 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
103 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
104 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
105 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
106 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
107 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
108 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
109 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
110 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
111 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
112 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
113 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
114 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
115 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
116 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
117 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
118 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
119 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
120 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
121 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
122 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
123 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
124 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
125 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
126 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
127 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
128 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
129 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
130 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
131 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
132 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
133 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
134 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
135 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
136 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
137 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
138 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
139 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
140 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
141 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
142 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
143 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
144 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
145 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
146 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
147 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
148 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
149 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
150 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
151 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
152 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
153 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
154 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
155 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
156 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
157 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
158 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
159 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
160 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
161 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
162 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
163 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
164 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
165 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
166 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
167 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
168 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
169 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
170 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
171 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
172 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
173 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
174 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
175 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
176 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
177 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
178 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
179 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
180 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
181 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
182 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
183 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
184 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
185 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
186 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
187 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
188 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
189 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
190 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259
191 4 13.3.3.12.12.124 6 12 18 36 51 84 118 188 259

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)
Ia-3d (No. 230)
Transitivity p, q (mofplus-deposit)
2, 6 Kinds of node and of edge. r and s count the faces and tiles of a natural tiling, and none is derived here: the library this site runs Systre from cannot produce one for a 3-periodic net at all, and a 2-periodic net tiles the plane, which has faces and no tiles. They stay unknown rather than being filled.
Point-group order (mofplus-deposit)
48
Repeat-unit factor (mofplus-deposit)
2
RCSR identification (mofplus-deposit)
icd-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 2 3 0 0 0 2 4 0 0 0 2 6 0 0 0 3 4 0 0 0 3 7 0 0 0 4 8 0 0 0 5 9 0 0 0 5 10 0 0 0 5 11 0 0 0 6 12 0 0 0 6 13 0 0 0 6 14 0 0 0 7 15 0 0 0 7 16 0 0 0 7 17 0 0 0 8 18 0 0 0 8 19 0 0 0 8 20 0 0 0 9 10 0 0 0 9 11 0 0 0 9 21 0 0 0 10 11 0 0 0 10 22 0 0 0 11 23 0 0 0 12 13 0 0 0 12 14 0 0 0 12 24 0 0 0 13 14 0 0 0 13 25 0 0 0 14 26 0 0 0 15 16 0 0 0 15 17 0 0 0 15 27 0 0 0 16 17 0 0 0 16 28 0 0 0 17 29 0 0 0 18 19 0 0 0 18 20 0 0 0 18 30 0 0 0 19 20 0 0 0 19 31 0 0 0 20 32 0 0 0 21 29 1 0 0 21 33 0 0 0 21 34 0 0 0 22 27 0 1 0 22 35 0 0 0 22 36 0 0 0 23 25 -1 0 1 23 28 0 0 1 23 31 0 1 0 24 32 1 0 -1 24 37 0 0 0 24 38 0 0 0 25 28 1 0 0 25 31 1 1 -1 26 30 0 1 -1 26 39 0 0 0 26 40 0 0 0 27 35 0 -1 0 27 36 0 -1 0 28 31 0 1 -1 29 33 -1 0 0 29 34 -1 0 0 30 39 0 -1 1 30 40 0 -1 1 32 37 -1 0 1 32 38 -1 0 1 33 34 0 0 0 33 41 0 0 0 34 42 0 0 0 35 36 0 0 0 35 43 0 0 0 36 44 0 0 0 37 38 0 0 0 37 45 0 0 0 38 46 0 0 0 39 40 0 0 0 39 47 0 0 0 40 48 0 0 0 41 44 1 0 -1 41 49 0 0 0 41 50 0 0 0 42 43 0 -1 0 42 51 0 0 0 42 52 0 0 0 43 51 0 1 0 43 52 0 1 0 44 49 -1 0 1 44 50 -1 0 1 45 47 1 0 0 45 53 0 0 0 45 54 0 0 0 46 48 1 0 -1 46 55 0 0 0 46 56 0 0 0 47 53 -1 0 0 47 54 -1 0 0 48 55 -1 0 1 48 56 -1 0 1 49 50 0 0 0 49 57 0 0 0 50 58 0 0 0 51 52 0 0 0 51 59 0 0 0 52 60 0 0 0 53 54 0 0 0 53 61 0 0 0 54 62 0 0 0 55 56 0 0 0 55 63 0 0 0 56 64 0 0 0 57 59 0 1 -1 57 65 0 0 0 57 66 0 0 0 58 60 0 1 0 58 67 0 0 0 58 68 0 0 0 59 65 0 -1 1 59 66 0 -1 1 60 67 0 -1 0 60 68 0 -1 0 61 64 1 0 0 61 69 0 0 0 61 70 0 0 0 62 63 0 -1 1 62 71 0 0 0 62 72 0 0 0 63 71 0 1 -1 63 72 0 1 -1 64 69 -1 0 0 64 70 -1 0 0 65 66 0 0 0 65 73 0 0 0 66 74 0 0 0 67 68 0 0 0 67 75 0 0 0 68 76 0 0 0 69 70 0 0 0 69 77 0 0 0 70 78 0 0 0 71 72 0 0 0 71 79 0 0 0 72 80 0 0 0 73 76 1 0 -1 73 81 0 0 0 73 82 0 0 0 74 75 0 1 -1 74 83 0 0 0 74 84 0 0 0 75 83 0 -1 1 75 84 0 -1 1 76 81 -1 0 1 76 82 -1 0 1 77 80 1 0 0 77 85 0 0 0 77 86 0 0 0 78 79 0 1 0 78 87 0 0 0 78 88 0 0 0 79 87 0 -1 0 79 88 0 -1 0 80 85 -1 0 0 80 86 -1 0 0 81 82 0 0 0 81 89 0 0 0 82 90 0 0 0 83 84 0 0 0 83 91 0 0 0 84 92 0 0 0 85 86 0 0 0 85 93 0 0 0 86 94 0 0 0 87 88 0 0 0 87 95 0 0 0 88 96 0 0 0 89 92 1 0 -1 89 94 0 1 -1 89 96 0 0 -1 90 91 0 -1 0 90 93 -1 1 -1 90 95 -1 0 0 91 93 -1 2 -1 91 95 -1 1 0 92 94 -1 1 0 92 96 -1 0 0 93 95 0 -1 1 94 96 0 -1 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
785
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)
785.0
Genus (mofplus-deposit)
97
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)
785.0
Genus (rcsr-archive-key)
97
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)
(3^3.12^2.13)(3^3.12^3)
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, 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, 953.3.3.12.12(2).13(3) 3.3.3.12.12(2).20(10) 3^3.12^2.13 4 6 12 18 36 51 84 118 204 259
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, 1913.3.3.12.12.12 3.3.3.12.12.12 3^3.12^3 4 6 12 18 36 51 84 118 188 259

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

Net point symbol (rcsr-archive-key)
(3^3.12^2.13)(3^3.12^3)
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, 1, 2, 3, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 88, 89, 90, 91, 92, 93, 94, 953.3.3.12.12.12 3.3.3.12.12.12 3^3.12^3 4 6 12 18 36 51 84 118 188 259
4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 873.3.3.12.12(2).13(3) 3.3.3.12.12(2).20(10) 3^3.12^2.13 4 6 12 18 36 51 84 118 204 259

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 192 of 192 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 192 of 192 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
icd-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
1010 (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
2322 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.