MOF++

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Net topology

ana-a

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

JSON · mfpx

192 vertices and 384 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
Ia-3d (No. 230)
Cell lengths
a = 9.5538 Å, b = 9.5538 Å, c = 9.5538 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
192
Transitivity pqrs
2, 5, *, *
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 26 0 0 0 21 33 0 0 0 21 34 0 0 0 22 35 0 0 0 22 36 0 0 0 22 37 0 0 0 23 38 0 0 0 23 39 0 0 0 23 40 0 0 0 24 41 0 0 0 24 42 0 0 0 24 43 0 0 0 25 44 0 0 0 25 45 0 0 0 25 46 0 0 0 26 33 0 0 0 26 34 0 0 0 27 30 0 0 0 27 47 0 0 0 27 48 0 0 0 28 49 0 0 0 28 50 0 0 0 28 51 0 0 0 29 52 0 0 0 29 53 0 0 0 29 54 0 0 0 30 47 0 0 0 30 48 0 0 0 31 55 0 0 0 31 56 0 0 0 31 57 0 0 0 32 58 0 0 0 32 59 0 0 0 32 60 0 0 0 33 34 0 0 0 33 61 0 0 0 34 62 0 0 0 35 36 0 0 0 35 37 0 0 0 35 63 0 0 0 36 37 0 0 0 36 64 0 0 0 37 65 0 0 0 38 39 0 0 0 38 40 0 0 0 38 66 0 0 0 39 40 0 0 0 39 67 0 0 0 40 68 0 0 0 41 42 0 0 0 41 43 0 0 0 41 69 0 0 0 42 43 0 0 0 42 70 0 0 0 43 71 0 0 0 44 45 0 0 0 44 46 0 0 0 44 72 0 0 0 45 46 0 0 0 45 73 0 0 0 46 74 0 0 0 47 48 0 0 0 47 75 0 0 0 48 76 0 0 0 49 50 0 0 0 49 51 0 0 0 49 77 0 0 0 50 51 0 0 0 50 78 0 0 0 51 79 0 0 0 52 53 0 0 0 52 54 0 0 0 52 80 0 0 0 53 54 0 0 0 53 81 0 0 0 54 82 0 0 0 55 56 0 0 0 55 57 0 0 0 55 83 0 0 0 56 57 0 0 0 56 84 0 0 0 57 85 0 0 0 58 59 0 0 0 58 60 0 0 0 58 86 0 0 0 59 60 0 0 0 59 87 0 0 0 60 88 0 0 0 61 85 1 0 0 61 86 1 0 0 61 89 0 0 0 62 79 0 1 0 62 80 0 1 0 62 90 0 0 0 63 69 0 0 1 63 78 -1 1 0 63 88 0 1 0 64 70 0 0 1 64 82 0 1 0 64 84 1 0 1 65 66 0 0 0 65 75 0 0 1 65 91 0 0 0 66 75 0 0 1 66 91 0 0 0 67 73 1 -1 1 67 81 0 0 0 67 83 1 -1 1 68 74 1 -1 1 68 77 0 0 1 68 87 1 0 1 69 78 -1 1 -1 69 88 0 1 -1 70 82 0 1 -1 70 84 1 0 0 71 72 0 0 0 71 76 0 1 0 71 92 0 0 0 72 76 0 1 0 72 92 0 0 0 73 81 -1 1 -1 73 83 0 0 0 74 77 -1 1 0 74 87 0 1 0 75 91 0 0 -1 76 92 0 -1 0 77 87 1 0 0 78 88 1 0 0 79 80 0 0 0 79 90 0 -1 0 80 90 0 -1 0 81 83 1 -1 1 82 84 1 -1 1 85 86 0 0 0 85 89 -1 0 0 86 89 -1 0 0 89 93 0 0 0 90 94 0 0 0 91 95 0 0 0 92 96 0 0 0 93 94 0 0 0 93 95 1 0 0 93 96 1 -1 1 94 95 1 0 0 94 96 1 -1 1 95 96 0 -1 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
bab44460acb8ef337e637d3ed02739bf (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 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
1 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
2 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
3 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
4 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
5 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
6 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
7 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
8 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
9 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
10 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
11 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
12 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
13 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
14 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
15 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
16 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
17 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
18 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
19 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
20 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
21 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
22 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
23 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
24 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
25 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
26 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
27 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
28 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
29 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
30 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
31 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
32 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
33 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
34 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
35 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
36 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
37 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
38 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
39 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
40 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
41 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
42 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
43 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
44 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
45 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
46 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
47 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
48 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
49 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
50 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
51 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
52 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
53 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
54 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
55 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
56 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
57 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
58 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
59 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
60 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
61 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
62 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
63 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
64 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
65 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
66 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
67 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
68 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
69 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
70 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
71 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
72 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
73 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
74 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
75 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
76 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
77 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
78 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
79 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
80 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
81 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
82 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
83 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
84 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
85 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
86 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
87 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
88 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
89 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
90 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
91 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
92 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
93 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
94 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
95 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
96 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
97 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
98 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
99 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
100 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
101 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
102 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
103 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
104 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
105 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
106 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
107 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
108 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
109 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
110 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
111 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
112 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
113 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
114 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
115 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
116 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
117 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
118 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
119 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
120 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
121 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
122 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
123 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
124 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
125 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
126 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
127 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
128 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
129 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
130 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
131 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
132 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
133 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
134 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
135 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
136 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
137 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
138 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
139 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
140 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
141 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
142 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
143 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
144 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
145 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
146 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
147 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
148 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
149 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
150 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
151 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
152 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
153 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
154 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
155 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
156 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
157 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
158 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
159 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
160 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
161 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
162 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
163 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
164 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
165 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
166 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
167 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
168 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
169 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
170 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
171 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
172 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
173 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
174 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
175 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
176 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
177 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
178 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
179 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
180 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
181 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
182 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
183 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
184 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
185 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
186 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
187 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
188 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
189 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
190 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117
191 4 13.3.3.8.9.94 6 12 17 28 39 60 75 96 117

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, 5 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)
ana-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 26 0 0 0 21 33 0 0 0 21 34 0 0 0 22 35 0 0 0 22 36 0 0 0 22 37 0 0 0 23 38 0 0 0 23 39 0 0 0 23 40 0 0 0 24 41 0 0 0 24 42 0 0 0 24 43 0 0 0 25 44 0 0 0 25 45 0 0 0 25 46 0 0 0 26 33 0 0 0 26 34 0 0 0 27 30 0 0 0 27 47 0 0 0 27 48 0 0 0 28 49 0 0 0 28 50 0 0 0 28 51 0 0 0 29 52 0 0 0 29 53 0 0 0 29 54 0 0 0 30 47 0 0 0 30 48 0 0 0 31 55 0 0 0 31 56 0 0 0 31 57 0 0 0 32 58 0 0 0 32 59 0 0 0 32 60 0 0 0 33 34 0 0 0 33 61 0 0 0 34 62 0 0 0 35 36 0 0 0 35 37 0 0 0 35 63 0 0 0 36 37 0 0 0 36 64 0 0 0 37 65 0 0 0 38 39 0 0 0 38 40 0 0 0 38 66 0 0 0 39 40 0 0 0 39 67 0 0 0 40 68 0 0 0 41 42 0 0 0 41 43 0 0 0 41 69 0 0 0 42 43 0 0 0 42 70 0 0 0 43 71 0 0 0 44 45 0 0 0 44 46 0 0 0 44 72 0 0 0 45 46 0 0 0 45 73 0 0 0 46 74 0 0 0 47 48 0 0 0 47 75 0 0 0 48 76 0 0 0 49 50 0 0 0 49 51 0 0 0 49 77 0 0 0 50 51 0 0 0 50 78 0 0 0 51 79 0 0 0 52 53 0 0 0 52 54 0 0 0 52 80 0 0 0 53 54 0 0 0 53 81 0 0 0 54 82 0 0 0 55 56 0 0 0 55 57 0 0 0 55 83 0 0 0 56 57 0 0 0 56 84 0 0 0 57 85 0 0 0 58 59 0 0 0 58 60 0 0 0 58 86 0 0 0 59 60 0 0 0 59 87 0 0 0 60 88 0 0 0 61 85 1 0 0 61 86 1 0 0 61 89 0 0 0 62 79 0 1 0 62 80 0 1 0 62 90 0 0 0 63 69 0 0 1 63 78 -1 1 0 63 88 0 1 0 64 70 0 0 1 64 82 0 1 0 64 84 1 0 1 65 66 0 0 0 65 75 0 0 1 65 91 0 0 0 66 75 0 0 1 66 91 0 0 0 67 73 1 -1 1 67 81 0 0 0 67 83 1 -1 1 68 74 1 -1 1 68 77 0 0 1 68 87 1 0 1 69 78 -1 1 -1 69 88 0 1 -1 70 82 0 1 -1 70 84 1 0 0 71 72 0 0 0 71 76 0 1 0 71 92 0 0 0 72 76 0 1 0 72 92 0 0 0 73 81 -1 1 -1 73 83 0 0 0 74 77 -1 1 0 74 87 0 1 0 75 91 0 0 -1 76 92 0 -1 0 77 87 1 0 0 78 88 1 0 0 79 80 0 0 0 79 90 0 -1 0 80 90 0 -1 0 81 83 1 -1 1 82 84 1 -1 1 85 86 0 0 0 85 89 -1 0 0 86 89 -1 0 0 89 93 0 0 0 90 94 0 0 0 91 95 0 0 0 92 96 0 0 0 93 94 0 0 0 93 95 1 0 0 93 96 1 -1 1 94 95 1 0 0 94 96 1 -1 1 95 96 0 -1 1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
455
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)
455.0
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)
455.0
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)
(3^3.8.9^2)
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, 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, 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, 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, 1913.3.3.8.9.9 3.3.3.8.12.16(4) 3^3.8.9^2 4 6 12 17 28 39 60 75 96 117

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

Net point symbol (rcsr-archive-key)
(3^3.8.9^2)
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, 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, 953.3.3.8.9.9 3.3.3.8.12.16(4) 3^3.8.9^2 4 6 12 17 28 39 60 75 96 117

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
ana-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
45 (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
2314 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.