Net topology

isf

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

JSON · mfpx

192 vertices and 384 edges in the unit cell. 88 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
I41/acd (No. 142)
Cell lengths
a = 4.5263 Å, b = 4.5263 Å, c = 16.0397 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
192
Transitivity pqrs
9, 12, *, *
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 11 0 0 0 4 12 0 0 0 4 13 0 0 0 5 13 0 0 0 5 14 0 0 0 5 15 0 0 0 6 11 0 0 0 6 16 0 0 0 6 17 0 0 0 7 18 0 0 0 7 19 0 0 0 8 20 0 0 0 8 21 0 0 0 8 22 0 0 0 9 21 1 0 0 9 22 1 0 0 9 23 0 0 0 10 15 0 0 0 10 24 0 0 0 10 25 0 0 0 11 26 0 0 0 11 27 0 0 0 12 22 1 0 0 12 28 0 0 0 12 29 0 0 0 13 30 0 0 0 13 31 0 0 0 14 22 0 0 0 14 29 -1 0 0 14 32 0 0 0 15 33 0 0 0 15 34 0 0 0 16 35 0 0 0 16 36 0 0 0 16 37 0 0 0 17 20 0 0 0 17 36 0 0 0 17 38 0 0 0 18 37 0 0 0 18 39 0 0 0 18 40 0 0 0 19 39 0 0 0 19 41 0 0 0 19 42 0 0 0 20 28 -1 0 0 20 43 0 0 0 21 40 -1 0 0 21 41 0 0 0 23 25 0 0 0 23 32 1 0 0 23 44 0 0 0 24 42 0 0 0 24 45 0 0 0 24 46 0 0 0 25 47 0 0 0 25 48 0 0 0 26 28 0 0 0 26 49 0 0 0 26 50 0 0 0 27 38 0 0 0 27 51 0 0 0 27 52 0 0 0 28 53 0 0 0 29 54 0 0 0 29 55 0 0 0 30 39 0 1 0 30 52 0 0 0 30 54 -1 0 0 31 39 0 1 0 31 55 0 0 0 31 56 0 0 0 32 33 0 0 0 32 57 0 0 0 33 46 0 0 0 33 58 0 0 0 34 56 0 0 0 34 58 0 0 0 34 59 0 0 0 35 49 0 0 0 35 60 0 0 0 35 61 0 0 0 36 62 0 0 0 36 63 0 0 0 37 52 0 -1 0 37 61 0 0 0 38 64 0 0 0 38 65 0 0 0 40 66 0 0 0 40 67 0 0 0 41 67 -1 0 0 41 68 0 0 0 42 56 0 -1 0 42 69 0 0 0 43 49 -1 0 0 43 63 0 0 0 43 66 -1 0 0 44 47 0 0 0 44 68 1 0 0 44 70 0 0 0 45 47 0 0 0 45 71 0 0 0 45 72 0 0 0 46 70 -1 0 0 46 73 0 0 0 47 74 0 0 0 48 57 1 0 0 48 59 0 0 0 48 75 0 0 0 49 76 0 0 0 50 51 0 0 0 50 53 0 0 0 50 77 0 0 0 51 61 0 1 0 51 78 0 0 0 52 79 0 0 0 53 65 1 0 0 53 80 0 0 0 54 67 0 1 0 54 80 0 0 0 55 67 0 1 0 55 81 0 0 0 56 71 0 1 0 57 81 -1 0 0 57 82 0 0 0 58 82 0 0 0 58 83 0 0 0 59 71 0 1 0 59 84 0 0 0 60 78 0 -1 0 60 85 0 0 0 60 86 0 0 0 61 66 0 0 0 62 64 0 0 0 62 85 0 0 0 62 87 0 0 0 63 79 0 -1 0 63 88 0 0 0 64 89 0 0 0 64 90 0 0 0 65 79 0 0 0 65 91 0 0 0 66 80 0 -1 0 68 69 0 0 0 68 81 -1 -1 0 69 70 -1 0 0 69 82 0 -1 0 70 92 0 0 0 71 81 0 -1 0 72 84 0 -1 0 72 89 0 0 1 72 93 0 0 0 73 83 0 0 0 73 93 0 0 0 73 94 0 0 0 74 75 0 0 0 74 89 0 0 1 74 90 0 0 1 75 85 0 1 1 75 87 0 1 1 76 77 0 0 0 76 86 0 0 0 76 95 0 0 0 77 93 1 0 -1 77 94 1 0 -1 78 90 0 0 0 78 94 1 0 -1 79 80 -1 0 0 82 96 0 0 0 83 86 -1 1 1 83 95 -1 1 1 84 87 0 1 1 84 95 -1 1 1 85 96 1 -1 -1 86 96 1 -1 -1 87 88 0 0 0 88 91 0 -1 0 88 95 -1 0 0 89 91 0 0 0 90 92 0 0 -1 91 93 0 0 -1 92 94 1 0 0 92 96 1 -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
39fae274d01b672b5dc5f44f06efd704 (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 I41/acd, setting 2, 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 24.4.5.5.6.64 10 22 38 62 90 124 160 204 262
1 4 24.4.5.5.6.64 10 22 38 62 90 124 160 204 262
2 4 24.4.5.5.6.64 10 22 38 62 90 124 160 204 262
3 4 24.4.5.5.6.64 10 22 38 62 90 124 160 204 262
4 4 24.4.5.5.6.64 10 22 38 62 90 124 160 204 262
5 4 24.4.5.5.6.64 10 22 38 62 90 124 160 204 262
6 4 24.4.5.5.6.64 10 22 38 62 90 124 160 204 262
7 4 24.4.5.5.6.64 10 22 38 62 90 124 160 204 262
8 4 24.4.5.5.6.64 10 22 38 62 90 124 160 204 262
9 4 24.4.5.5.6.64 10 22 38 62 90 124 160 204 262
10 4 24.4.5.5.6.64 10 22 38 62 90 124 160 204 262
11 4 24.4.5.5.6.64 10 22 38 62 90 124 160 204 262
12 4 24.4.5.5.6.64 10 22 38 62 90 124 160 204 262
13 4 24.4.5.5.6.64 10 22 38 62 90 124 160 204 262
14 4 24.4.5.5.6.64 10 22 38 62 90 124 160 204 262
15 4 24.4.5.5.6.64 10 22 38 62 90 124 160 204 262
16 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
17 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
18 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
19 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
20 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
21 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
22 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
23 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
24 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
25 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
26 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
27 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
28 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
29 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
30 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
31 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
32 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
33 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
34 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
35 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
36 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
37 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
38 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
39 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
40 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
41 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
42 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
43 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
44 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
45 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
46 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
47 4 14.5.5.6.6.64 11 21 40 64 89 124 166 211 262
48 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
49 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
50 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
51 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
52 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
53 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
54 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
55 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
56 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
57 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
58 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
59 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
60 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
61 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
62 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
63 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
64 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
65 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
66 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
67 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
68 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
69 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
70 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
71 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
72 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
73 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
74 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
75 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
76 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
77 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
78 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
79 4 14.5.5.6.6.64 11 22 40 63 92 127 166 212 263
80 4 24.4.6.6.6.64 10 24 40 62 94 130 166 212 270
81 4 24.4.6.6.6.64 10 24 40 62 94 130 166 212 270
82 4 24.4.6.6.6.64 10 24 40 62 94 130 166 212 270
83 4 24.4.6.6.6.64 10 24 40 62 94 130 166 212 270
84 4 24.4.6.6.6.64 10 24 40 62 94 130 166 212 270
85 4 24.4.6.6.6.64 10 24 40 62 94 130 166 212 270
86 4 24.4.6.6.6.64 10 24 40 62 94 130 166 212 270
87 4 24.4.6.6.6.64 10 24 40 62 94 130 166 212 270
88 4 24.4.6.6.6.64 10 24 40 62 94 130 166 212 270
89 4 24.4.6.6.6.64 10 24 40 62 94 130 166 212 270
90 4 24.4.6.6.6.64 10 24 40 62 94 130 166 212 270
91 4 24.4.6.6.6.64 10 24 40 62 94 130 166 212 270
92 4 24.4.6.6.6.64 10 24 40 62 94 130 166 212 270
93 4 24.4.6.6.6.64 10 24 40 62 94 130 166 212 270
94 4 24.4.6.6.6.64 10 24 40 62 94 130 166 212 270
95 4 24.4.6.6.6.64 10 24 40 62 94 130 166 212 270
96 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
97 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
98 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
99 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
100 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
101 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
102 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
103 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
104 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
105 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
106 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
107 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
108 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
109 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
110 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
111 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
112 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
113 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
114 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
115 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
116 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
117 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
118 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
119 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
120 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
121 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
122 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
123 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
124 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
125 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
126 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
127 4 14.5.5.5.6.64 11 22 41 65 91 125 169 210 270
128 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
129 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
130 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
131 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
132 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
133 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
134 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
135 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
136 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
137 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
138 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
139 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
140 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
141 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
142 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
143 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
144 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
145 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
146 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
147 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
148 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
149 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
150 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
151 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
152 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
153 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
154 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
155 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
156 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
157 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
158 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
159 4 15.5.5.5.6.64 12 23 42 65 95 130 170 220 267
160 4 24.5.5.5.5.64 11 23 41 66 93 127 169 220 268
161 4 24.5.5.5.5.64 11 23 41 66 93 127 169 220 268
162 4 24.5.5.5.5.64 11 23 41 66 93 127 169 220 268
163 4 24.5.5.5.5.64 11 23 41 66 93 127 169 220 268
164 4 24.5.5.5.5.64 11 23 41 66 93 127 169 220 268
165 4 24.5.5.5.5.64 11 23 41 66 93 127 169 220 268
166 4 24.5.5.5.5.64 11 23 41 66 93 127 169 220 268
167 4 24.5.5.5.5.64 11 23 41 66 93 127 169 220 268
168 4 24.5.5.5.5.64 11 23 41 66 93 127 169 220 268
169 4 24.5.5.5.5.64 11 23 41 66 93 127 169 220 268
170 4 24.5.5.5.5.64 11 23 41 66 93 127 169 220 268
171 4 24.5.5.5.5.64 11 23 41 66 93 127 169 220 268
172 4 24.5.5.5.5.64 11 23 41 66 93 127 169 220 268
173 4 24.5.5.5.5.64 11 23 41 66 93 127 169 220 268
174 4 24.5.5.5.5.64 11 23 41 66 93 127 169 220 268
175 4 24.5.5.5.5.64 11 23 41 66 93 127 169 220 268
176 4 -45.5.5.5.6.64 12 26 40 64 94 132 172 210 280
177 4 -45.5.5.5.6.64 12 26 40 64 94 132 172 210 280
178 4 -45.5.5.5.6.64 12 26 40 64 94 132 172 210 280
179 4 -45.5.5.5.6.64 12 26 40 64 94 132 172 210 280
180 4 -45.5.5.5.6.64 12 26 40 64 94 132 172 210 280
181 4 -45.5.5.5.6.64 12 26 40 64 94 132 172 210 280
182 4 -45.5.5.5.6.64 12 26 40 64 94 132 172 210 280
183 4 -45.5.5.5.6.64 12 26 40 64 94 132 172 210 280
184 4 2224.4.6.6.6.64 10 24 40 60 94 126 158 214 264
185 4 2224.4.6.6.6.64 10 24 40 60 94 126 158 214 264
186 4 2224.4.6.6.6.64 10 24 40 60 94 126 158 214 264
187 4 2224.4.6.6.6.64 10 24 40 60 94 126 158 214 264
188 4 2224.4.6.6.6.64 10 24 40 60 94 126 158 214 264
189 4 2224.4.6.6.6.64 10 24 40 60 94 126 158 214 264
190 4 2224.4.6.6.6.64 10 24 40 60 94 126 158 214 264
191 4 2224.4.6.6.6.64 10 24 40 60 94 126 158 214 264

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)
I41/acd (No. 142) (second origin choice)
Transitivity p, q (mofplus-deposit)
9, 12 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)
16
Repeat-unit factor (mofplus-deposit)
2
RCSR identification (mofplus-deposit)
isf
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 11 0 0 0 4 12 0 0 0 4 13 0 0 0 5 13 0 0 0 5 14 0 0 0 5 15 0 0 0 6 11 0 0 0 6 16 0 0 0 6 17 0 0 0 7 18 0 0 0 7 19 0 0 0 8 20 0 0 0 8 21 0 0 0 8 22 0 0 0 9 21 1 0 0 9 22 1 0 0 9 23 0 0 0 10 15 0 0 0 10 24 0 0 0 10 25 0 0 0 11 26 0 0 0 11 27 0 0 0 12 22 1 0 0 12 28 0 0 0 12 29 0 0 0 13 30 0 0 0 13 31 0 0 0 14 22 0 0 0 14 29 -1 0 0 14 32 0 0 0 15 33 0 0 0 15 34 0 0 0 16 35 0 0 0 16 36 0 0 0 16 37 0 0 0 17 20 0 0 0 17 36 0 0 0 17 38 0 0 0 18 37 0 0 0 18 39 0 0 0 18 40 0 0 0 19 39 0 0 0 19 41 0 0 0 19 42 0 0 0 20 28 -1 0 0 20 43 0 0 0 21 40 -1 0 0 21 41 0 0 0 23 25 0 0 0 23 32 1 0 0 23 44 0 0 0 24 42 0 0 0 24 45 0 0 0 24 46 0 0 0 25 47 0 0 0 25 48 0 0 0 26 28 0 0 0 26 49 0 0 0 26 50 0 0 0 27 38 0 0 0 27 51 0 0 0 27 52 0 0 0 28 53 0 0 0 29 54 0 0 0 29 55 0 0 0 30 39 0 1 0 30 52 0 0 0 30 54 -1 0 0 31 39 0 1 0 31 55 0 0 0 31 56 0 0 0 32 33 0 0 0 32 57 0 0 0 33 46 0 0 0 33 58 0 0 0 34 56 0 0 0 34 58 0 0 0 34 59 0 0 0 35 49 0 0 0 35 60 0 0 0 35 61 0 0 0 36 62 0 0 0 36 63 0 0 0 37 52 0 -1 0 37 61 0 0 0 38 64 0 0 0 38 65 0 0 0 40 66 0 0 0 40 67 0 0 0 41 67 -1 0 0 41 68 0 0 0 42 56 0 -1 0 42 69 0 0 0 43 49 -1 0 0 43 63 0 0 0 43 66 -1 0 0 44 47 0 0 0 44 68 1 0 0 44 70 0 0 0 45 47 0 0 0 45 71 0 0 0 45 72 0 0 0 46 70 -1 0 0 46 73 0 0 0 47 74 0 0 0 48 57 1 0 0 48 59 0 0 0 48 75 0 0 0 49 76 0 0 0 50 51 0 0 0 50 53 0 0 0 50 77 0 0 0 51 61 0 1 0 51 78 0 0 0 52 79 0 0 0 53 65 1 0 0 53 80 0 0 0 54 67 0 1 0 54 80 0 0 0 55 67 0 1 0 55 81 0 0 0 56 71 0 1 0 57 81 -1 0 0 57 82 0 0 0 58 82 0 0 0 58 83 0 0 0 59 71 0 1 0 59 84 0 0 0 60 78 0 -1 0 60 85 0 0 0 60 86 0 0 0 61 66 0 0 0 62 64 0 0 0 62 85 0 0 0 62 87 0 0 0 63 79 0 -1 0 63 88 0 0 0 64 89 0 0 0 64 90 0 0 0 65 79 0 0 0 65 91 0 0 0 66 80 0 -1 0 68 69 0 0 0 68 81 -1 -1 0 69 70 -1 0 0 69 82 0 -1 0 70 92 0 0 0 71 81 0 -1 0 72 84 0 -1 0 72 89 0 0 1 72 93 0 0 0 73 83 0 0 0 73 93 0 0 0 73 94 0 0 0 74 75 0 0 0 74 89 0 0 1 74 90 0 0 1 75 85 0 1 1 75 87 0 1 1 76 77 0 0 0 76 86 0 0 0 76 95 0 0 0 77 93 1 0 -1 77 94 1 0 -1 78 90 0 0 0 78 94 1 0 -1 79 80 -1 0 0 82 96 0 0 0 83 86 -1 1 1 83 95 -1 1 1 84 87 0 1 1 84 95 -1 1 1 85 96 1 -1 -1 86 96 1 -1 -1 87 88 0 0 0 88 91 0 -1 0 88 95 -1 0 0 89 91 0 0 0 90 92 0 0 -1 91 93 0 0 -1 92 94 1 0 0 92 96 1 -1 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
1008
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)
1007.6666666666666
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)
1007.6666666666666
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)
(4.5^2.6^3)8(4.5^3.6^2)4(4.5^4.6)2(4^2.5^2.6^2)2(4^2.6^4)3(5^4.6^2)5
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, 154.4.5.5.6.6 4.4.5.5.6.6 4^2.5^2.6^2 4 10 22 38 62 90 124 160 204 262
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, 474.5.5.6.6.6 4.5.5.6.6.6 4.5^2.6^3 4 11 21 40 64 89 124 166 211 262
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, 794.5.5.6.6.6 4.5.5.6.6.6 4.5^2.6^3 4 11 22 40 63 92 127 166 212 263
80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 954.4.6.6.6.6 4.4.6.6.6.6 4^2.6^4 4 10 24 40 62 94 130 166 212 270
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, 1274.5.5.5.6.6 4.5.5.5.6.6 4.5^3.6^2 4 11 22 41 65 91 125 169 210 270
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, 1595.5.5.5.6.6 5.5.5.5.6.6 5^4.6^2 4 12 23 42 65 95 130 170 220 267
160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 1754.5.5.5.5.6 4.5.5.5.5.6 4.5^4.6 4 11 23 41 66 93 127 169 220 268
176, 177, 178, 179, 180, 181, 182, 1835.5.5.5.6.6 5.5.5.5.6.6 5^4.6^2 4 12 26 40 64 94 132 172 210 280
184, 185, 186, 187, 188, 189, 190, 1914.4.6.6.6.6 4.4.6.6.6.6 4^2.6^4 4 10 24 40 60 94 126 158 214 264

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

Net point symbol (rcsr-archive-key)
(4.5^2.6^3)8(4.5^3.6^2)4(4.5^4.6)2(4^2.5^2.6^2)2(4^2.6^4)3(5^4.6^2)5
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, 21, 38, 66, 85, 86, 88, 934.4.5.5.6.6 4.4.5.5.6.6 4^2.5^2.6^2 4 10 22 38 62 90 124 160 204 262
1, 4, 8, 11, 17, 30, 40, 53, 59, 61, 73, 76, 82, 83, 90, 914.5.5.6.6.6 4.5.5.6.6.6 4.5^2.6^3 4 11 21 40 64 89 124 166 211 262
2, 3, 7, 13, 18, 29, 39, 54, 63, 71, 72, 74, 75, 77, 87, 954.5.5.6.6.6 4.5.5.6.6.6 4.5^2.6^3 4 11 22 40 63 92 127 166 212 263
5, 14, 22, 27, 34, 35, 36, 46, 49, 55, 57, 58, 64, 67, 69, 794.5.5.5.6.6 4.5.5.5.6.6 4.5^3.6^2 4 11 22 41 65 91 125 169 210 270
6, 12, 20, 28, 84, 89, 92, 944.4.6.6.6.6 4.4.6.6.6.6 4^2.6^4 4 10 24 40 62 94 130 166 212 270
9, 10, 19, 31, 37, 41, 44, 45, 47, 48, 50, 51, 62, 65, 80, 815.5.5.5.6.6 5.5.5.5.6.6 5^4.6^2 4 12 23 42 65 95 130 170 220 267
15, 33, 43, 524.4.6.6.6.6 4.4.6.6.6.6 4^2.6^4 4 10 24 40 60 94 126 158 214 264
16, 24, 25, 32, 60, 68, 70, 784.5.5.5.5.6 4.5.5.5.5.6 4.5^4.6 4 11 23 41 66 93 127 169 220 268
23, 26, 42, 565.5.5.5.6.6 5.5.5.5.6.6 5^4.6^2 4 12 26 40 64 94 132 172 210 280

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
isf
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
1029 (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
2323 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.