Net topology

act-a

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

JSON · mfpx

240 vertices and 456 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
Ia-3d (No. 230)
Cell lengths
a = 9.9642 Å, b = 9.9642 Å, c = 9.9642 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
240
Transitivity pqrs
3, 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 1 6 0 0 0 2 3 0 0 0 2 4 0 0 0 2 7 0 0 0 2 8 0 0 0 3 5 0 0 0 3 8 0 0 0 3 9 0 0 0 4 5 0 0 0 4 8 0 0 0 4 10 0 0 0 5 8 0 0 0 5 11 0 0 0 6 12 0 0 0 6 13 0 0 0 7 14 0 0 0 7 15 0 0 0 8 16 0 0 0 9 17 0 0 0 9 18 0 0 0 10 19 0 0 0 10 20 0 0 0 11 21 0 0 0 11 22 0 0 0 12 13 0 0 0 12 23 0 0 0 13 24 0 0 0 14 15 0 0 0 14 25 0 0 0 15 26 0 0 0 16 27 0 0 0 16 28 0 0 0 17 18 0 0 0 17 29 0 0 0 18 30 0 0 0 19 20 0 0 0 19 31 0 0 0 20 32 0 0 0 21 22 0 0 0 21 33 0 0 0 22 34 0 0 0 23 35 0 0 0 23 36 0 0 0 23 37 0 0 0 23 38 0 0 0 24 39 0 0 0 24 40 0 0 0 25 41 0 0 0 25 42 0 0 0 25 43 0 0 0 25 44 0 0 0 26 45 0 0 0 26 46 0 0 0 27 28 0 0 0 27 47 0 0 0 28 48 0 0 0 29 49 0 0 0 29 50 0 0 0 29 51 0 0 0 29 52 0 0 0 30 53 0 0 0 30 54 0 0 0 31 55 0 0 0 31 56 0 0 0 32 49 1 0 0 32 50 1 0 0 32 51 1 0 0 32 52 1 0 0 33 57 0 0 0 33 58 0 0 0 34 41 0 1 0 34 42 0 1 0 34 43 0 1 0 34 44 0 1 0 35 36 0 0 0 35 37 0 0 0 35 48 0 0 1 35 59 0 0 0 36 38 0 0 0 36 48 0 0 1 36 60 0 0 0 37 38 0 0 0 37 48 0 0 1 37 61 0 0 0 38 48 0 0 1 38 62 0 0 0 39 40 0 0 0 39 63 0 0 0 40 64 0 0 0 41 42 0 0 0 41 43 0 0 0 41 65 0 0 0 42 44 0 0 0 42 66 0 0 0 43 44 0 0 0 43 67 0 0 0 44 68 0 0 0 45 46 0 0 0 45 69 0 0 0 46 70 0 0 0 47 71 0 0 0 47 72 0 0 0 49 50 0 0 0 49 51 0 0 0 49 73 0 0 0 50 52 0 0 0 50 74 0 0 0 51 52 0 0 0 51 75 0 0 0 52 76 0 0 0 53 54 0 0 0 53 77 0 0 0 54 78 0 0 0 55 56 0 0 0 55 79 0 0 0 56 80 0 0 0 57 58 0 0 0 57 81 0 0 0 58 82 0 0 0 59 83 0 0 0 59 84 0 0 0 60 85 0 0 0 60 86 0 0 0 61 87 0 0 0 61 88 0 0 0 62 89 0 0 0 62 90 0 0 0 63 70 0 0 0 63 77 1 -1 1 63 80 0 0 0 63 81 1 -1 1 64 91 0 0 0 64 92 0 0 0 64 93 0 0 0 64 94 0 0 0 65 95 0 0 0 65 96 0 0 0 66 97 0 0 0 66 98 0 0 0 67 99 0 0 0 67 100 0 0 0 68 101 0 0 0 68 102 0 0 0 69 103 0 0 0 69 104 0 0 0 69 105 0 0 0 69 106 0 0 0 70 77 1 -1 1 70 80 0 0 0 70 107 0 0 0 71 72 0 0 0 71 108 0 0 0 72 107 -1 1 -1 73 109 0 0 0 73 110 0 0 0 74 111 0 0 0 74 112 0 0 0 75 113 0 0 0 75 114 0 0 0 76 115 0 0 0 76 116 0 0 0 77 81 0 0 0 77 107 -1 1 -1 78 117 0 0 0 78 118 0 0 0 78 119 0 0 0 78 120 0 0 0 79 117 1 -1 0 79 118 1 -1 0 79 119 1 -1 0 79 120 1 -1 0 80 81 1 -1 1 80 107 0 0 0 81 107 -1 1 -1 82 103 0 1 -1 82 104 0 1 -1 82 105 0 1 -1 82 106 0 1 -1 83 84 0 0 0 83 106 0 0 0 84 98 0 0 1 85 86 0 0 0 85 116 0 0 0 86 118 0 0 0 87 88 0 0 0 87 119 1 -1 1 88 109 1 0 1 89 90 0 0 0 89 99 0 1 0 90 103 0 1 0 91 92 0 0 0 91 93 0 0 0 91 100 0 1 0 91 108 1 0 1 92 94 0 0 0 92 108 1 0 1 92 110 1 0 1 93 94 0 0 0 93 108 1 0 1 93 115 1 0 0 94 97 1 0 1 94 108 1 0 1 95 96 0 0 0 95 120 0 -1 0 96 113 0 0 0 97 98 0 0 0 99 100 0 0 0 101 102 0 0 0 101 112 1 -1 0 102 117 1 -1 0 103 104 0 0 0 103 105 0 0 0 104 106 0 0 0 104 114 0 0 0 105 106 0 0 0 105 111 1 -1 1 109 110 0 0 0 111 112 0 0 0 113 114 0 0 0 115 116 0 0 0 117 118 0 0 0 117 119 0 0 0 118 120 0 0 0 119 120 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
72d731319addb9c2dd367ff4df3b0614 (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: 240 of 240 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. 240 of 240 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 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
1 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
2 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
3 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
4 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
5 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
6 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
7 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
8 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
9 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
10 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
11 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
12 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
13 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
14 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
15 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
16 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
17 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
18 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
19 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
20 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
21 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
22 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
23 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
24 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
25 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
26 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
27 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
28 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
29 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
30 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
31 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
32 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
33 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
34 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
35 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
36 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
37 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
38 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
39 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
40 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
41 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
42 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
43 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
44 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
45 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
46 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
47 3 23.12(2).12(2)3 4 10 18 28 34 56 80 114 112
48 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
49 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
50 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
51 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
52 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
53 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
54 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
55 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
56 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
57 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
58 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
59 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
60 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
61 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
62 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
63 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
64 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
65 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
66 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
67 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
68 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
69 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
70 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
71 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
72 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
73 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
74 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
75 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
76 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
77 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
78 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
79 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
80 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
81 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
82 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
83 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
84 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
85 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
86 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
87 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
88 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
89 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
90 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
91 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
92 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
93 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
94 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
95 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
96 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
97 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
98 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
99 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
100 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
101 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
102 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
103 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
104 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
105 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
106 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
107 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
108 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
109 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
110 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
111 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
112 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
113 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
114 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
115 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
116 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
117 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
118 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
119 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
120 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
121 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
122 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
123 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
124 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
125 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
126 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
127 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
128 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
129 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
130 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
131 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
132 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
133 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
134 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
135 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
136 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
137 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
138 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
139 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
140 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
141 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
142 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
143 3 13.12(2).13(2)3 6 11 16 27 44 61 83 105 115
144 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
145 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
146 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
147 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
148 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
149 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
150 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
151 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
152 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
153 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
154 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
155 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
156 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
157 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
158 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
159 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
160 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
161 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
162 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
163 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
164 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
165 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
166 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
167 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
168 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
169 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
170 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
171 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
172 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
173 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
174 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
175 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
176 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
177 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
178 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
179 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
180 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
181 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
182 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
183 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
184 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
185 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
186 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
187 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
188 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
189 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
190 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
191 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
192 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
193 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
194 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
195 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
196 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
197 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
198 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
199 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
200 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
201 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
202 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
203 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
204 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
205 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
206 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
207 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
208 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
209 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
210 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
211 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
212 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
213 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
214 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
215 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
216 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
217 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
218 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
219 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
220 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
221 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
222 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
223 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
224 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
225 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
226 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
227 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
228 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
229 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
230 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
231 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
232 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
233 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
234 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
235 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
236 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
237 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
238 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132
239 5 13.3.3.3.4(3).4(3).12.12.13.135 7 11 16 33 49 74 73 103 132

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)
3, 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)
act-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 4 0 0 0 2 7 0 0 0 2 8 0 0 0 3 5 0 0 0 3 8 0 0 0 3 9 0 0 0 4 5 0 0 0 4 8 0 0 0 4 10 0 0 0 5 8 0 0 0 5 11 0 0 0 6 12 0 0 0 6 13 0 0 0 7 14 0 0 0 7 15 0 0 0 8 16 0 0 0 9 17 0 0 0 9 18 0 0 0 10 19 0 0 0 10 20 0 0 0 11 21 0 0 0 11 22 0 0 0 12 13 0 0 0 12 23 0 0 0 13 24 0 0 0 14 15 0 0 0 14 25 0 0 0 15 26 0 0 0 16 27 0 0 0 16 28 0 0 0 17 18 0 0 0 17 29 0 0 0 18 30 0 0 0 19 20 0 0 0 19 31 0 0 0 20 32 0 0 0 21 22 0 0 0 21 33 0 0 0 22 34 0 0 0 23 35 0 0 0 23 36 0 0 0 23 37 0 0 0 23 38 0 0 0 24 39 0 0 0 24 40 0 0 0 25 41 0 0 0 25 42 0 0 0 25 43 0 0 0 25 44 0 0 0 26 45 0 0 0 26 46 0 0 0 27 28 0 0 0 27 47 0 0 0 28 48 0 0 0 29 49 0 0 0 29 50 0 0 0 29 51 0 0 0 29 52 0 0 0 30 53 0 0 0 30 54 0 0 0 31 55 0 0 0 31 56 0 0 0 32 49 1 0 0 32 50 1 0 0 32 51 1 0 0 32 52 1 0 0 33 57 0 0 0 33 58 0 0 0 34 41 0 1 0 34 42 0 1 0 34 43 0 1 0 34 44 0 1 0 35 36 0 0 0 35 37 0 0 0 35 48 0 0 1 35 59 0 0 0 36 38 0 0 0 36 48 0 0 1 36 60 0 0 0 37 38 0 0 0 37 48 0 0 1 37 61 0 0 0 38 48 0 0 1 38 62 0 0 0 39 40 0 0 0 39 63 0 0 0 40 64 0 0 0 41 42 0 0 0 41 43 0 0 0 41 65 0 0 0 42 44 0 0 0 42 66 0 0 0 43 44 0 0 0 43 67 0 0 0 44 68 0 0 0 45 46 0 0 0 45 69 0 0 0 46 70 0 0 0 47 71 0 0 0 47 72 0 0 0 49 50 0 0 0 49 51 0 0 0 49 73 0 0 0 50 52 0 0 0 50 74 0 0 0 51 52 0 0 0 51 75 0 0 0 52 76 0 0 0 53 54 0 0 0 53 77 0 0 0 54 78 0 0 0 55 56 0 0 0 55 79 0 0 0 56 80 0 0 0 57 58 0 0 0 57 81 0 0 0 58 82 0 0 0 59 83 0 0 0 59 84 0 0 0 60 85 0 0 0 60 86 0 0 0 61 87 0 0 0 61 88 0 0 0 62 89 0 0 0 62 90 0 0 0 63 70 0 0 0 63 77 1 -1 1 63 80 0 0 0 63 81 1 -1 1 64 91 0 0 0 64 92 0 0 0 64 93 0 0 0 64 94 0 0 0 65 95 0 0 0 65 96 0 0 0 66 97 0 0 0 66 98 0 0 0 67 99 0 0 0 67 100 0 0 0 68 101 0 0 0 68 102 0 0 0 69 103 0 0 0 69 104 0 0 0 69 105 0 0 0 69 106 0 0 0 70 77 1 -1 1 70 80 0 0 0 70 107 0 0 0 71 72 0 0 0 71 108 0 0 0 72 107 -1 1 -1 73 109 0 0 0 73 110 0 0 0 74 111 0 0 0 74 112 0 0 0 75 113 0 0 0 75 114 0 0 0 76 115 0 0 0 76 116 0 0 0 77 81 0 0 0 77 107 -1 1 -1 78 117 0 0 0 78 118 0 0 0 78 119 0 0 0 78 120 0 0 0 79 117 1 -1 0 79 118 1 -1 0 79 119 1 -1 0 79 120 1 -1 0 80 81 1 -1 1 80 107 0 0 0 81 107 -1 1 -1 82 103 0 1 -1 82 104 0 1 -1 82 105 0 1 -1 82 106 0 1 -1 83 84 0 0 0 83 106 0 0 0 84 98 0 0 1 85 86 0 0 0 85 116 0 0 0 86 118 0 0 0 87 88 0 0 0 87 119 1 -1 1 88 109 1 0 1 89 90 0 0 0 89 99 0 1 0 90 103 0 1 0 91 92 0 0 0 91 93 0 0 0 91 100 0 1 0 91 108 1 0 1 92 94 0 0 0 92 108 1 0 1 92 110 1 0 1 93 94 0 0 0 93 108 1 0 1 93 115 1 0 0 94 97 1 0 1 94 108 1 0 1 95 96 0 0 0 95 120 0 -1 0 96 113 0 0 0 97 98 0 0 0 99 100 0 0 0 101 102 0 0 0 101 112 1 -1 0 102 117 1 -1 0 103 104 0 0 0 103 105 0 0 0 104 106 0 0 0 104 114 0 0 0 105 106 0 0 0 105 111 1 -1 1 109 110 0 0 0 111 112 0 0 0 113 114 0 0 0 115 116 0 0 0 117 118 0 0 0 117 119 0 0 0 118 120 0 0 0 119 120 0 0 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
482
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)
482.4
Genus (mofplus-deposit)
109
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)
482.4
Genus (rcsr-archive-key)
109
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)
(3.12.13)2(3.12^2)(3^4.4^2.12^2.13^2)2
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, 473.12(2).12(2) 3.12(2).12(2) 3.12^2 3 4 10 18 28 34 56 80 114 112
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, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 1433.12(2).13(2) 3.12(2).14(4) 3.12.13 3 6 11 16 27 44 61 83 105 115
144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 2393.3.3.3.4(3).4(3).12.12.13.13 3.3.3.3.4.4.12.12.14(2).14(2) 3^4.4^2.12^2.13^2 5 7 11 16 33 49 74 73 103 132

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

Net point symbol (rcsr-archive-key)
(3.12.13)2(3.12^2)(3^4.4^2.12^2.13^2)2
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, 7, 22, 24, 28, 31, 33, 34, 35, 36, 37, 40, 41, 42, 43, 47, 48, 49, 50, 51, 62, 63, 68, 69, 76, 77, 78, 79, 80, 81, 90, 91, 92, 93, 102, 103, 104, 105, 106, 107, 116, 117, 118, 1193.3.3.3.4(3).4(3).12.12.13.13 3.3.3.3.4.4.12.12.14(2).14(2) 3^4.4^2.12^2.13^2 5 7 11 16 33 49 74 73 103 132
5, 6, 8, 9, 10, 11, 13, 15, 16, 19, 21, 27, 38, 39, 44, 45, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 64, 65, 66, 67, 70, 71, 72, 73, 74, 75, 82, 85, 86, 89, 94, 96, 99, 101, 109, 110, 113, 1143.12(2).13(2) 3.12(2).14(4) 3.12.13 3 6 11 16 27 44 61 83 105 115
12, 14, 17, 18, 20, 23, 25, 26, 29, 30, 32, 46, 83, 84, 87, 88, 95, 97, 98, 100, 108, 111, 112, 1153.12(2).12(2) 3.12(2).12(2) 3.12^2 3 4 10 18 28 34 56 80 114 112

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 240 of 240 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 240 of 240 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
act-a
Retrieved
2026-09-08
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
14 (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
2362 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.