Net topology

ulk-z

Ingested production record from 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
Im-3m (No. 229)
Cell lengths
a = 7.6591 Å, b = 7.6591 Å, c = 7.6591 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
192
Transitivity pqrs
1, 3, *, *
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
noneNo canonical key is recorded on this record from either source, and this field stays empty because it holds archive text and nothing else. A key was nonetheless computed here: Systre 19.6.0 was run on the MOF+ deposit, the graph of the uploaded topology file and derived one from the graph of the net itself. It is served under topology.symmetry, with the graph it was computed from and the version that computed it, rather than written into this field — a computed key is not the archive text, and serving it here would say the archive states something it does not.
Checksum
not recorded

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 Im-3m, setting the conventional one, by mofpp.site_symmetry v1 with spglib 2.7.0, from the embedding Systre 19.6.0 computed on the mofplus-deposit. spglib determined the same space group from those coordinates independently, which is a check of two different computations against each other rather than a restatement.

One row per distinct vertex. The coordination sequence counts how many vertices lie at each topological distance; the vertex symbol names the shortest ring at each angle of the vertex; the site symmetry is the vertex's Wyckoff position in the net's maximum-symmetry embedding. The three columns do not carry the same warrant: which of them was corroborated, which was not, and which was computed here, is stated above the table.
# Coordination Site symmetry Vertex symbol Coordination sequence
0 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
1 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
2 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
3 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
4 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
5 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
6 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
7 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
8 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
9 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
10 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
11 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
12 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
13 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
14 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
15 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
16 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
17 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
18 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
19 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
20 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
21 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
22 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
23 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
24 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
25 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
26 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
27 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
28 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
29 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
30 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
31 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
32 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
33 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
34 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
35 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
36 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
37 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
38 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
39 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
40 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
41 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
42 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
43 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
44 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
45 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
46 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
47 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
48 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
49 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
50 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
51 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
52 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
53 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
54 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
55 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
56 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
57 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
58 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
59 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
60 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
61 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
62 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
63 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
64 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
65 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
66 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
67 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
68 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
69 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
70 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
71 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
72 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
73 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
74 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
75 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
76 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
77 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
78 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
79 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
80 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
81 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
82 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
83 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
84 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
85 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
86 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
87 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
88 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
89 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
90 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
91 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
92 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
93 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
94 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
95 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
96 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
97 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
98 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
99 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
100 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
101 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
102 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
103 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
104 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
105 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
106 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
107 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
108 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
109 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
110 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
111 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
112 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
113 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
114 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
115 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
116 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
117 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
118 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
119 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
120 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
121 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
122 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
123 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
124 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
125 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
126 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
127 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
128 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
129 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
130 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
131 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
132 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
133 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
134 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
135 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
136 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
137 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
138 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
139 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
140 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
141 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
142 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
143 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
144 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
145 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
146 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
147 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
148 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
149 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
150 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
151 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
152 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
153 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
154 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
155 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
156 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
157 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
158 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
159 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
160 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
161 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
162 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
163 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
164 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
165 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
166 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
167 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
168 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
169 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
170 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
171 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
172 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
173 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
174 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
175 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
176 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
177 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
178 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
179 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
180 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
181 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
182 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
183 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
184 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
185 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
186 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
187 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
188 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
189 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
190 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154
191 4 mm23.3.3.12(2).12(2).13(4)4 6 12 18 36 50 76 94 124 154

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, 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

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)
Im-3m (No. 229)
Transitivity p, q (mofplus-deposit)
1, 3 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)
16
RCSR identification (mofplus-deposit)
none stated
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 4 0 0 0 3 5 0 0 0 3 9 0 0 0 4 5 0 0 0 4 10 0 0 0 5 6 1 0 0 6 7 0 0 0 6 8 0 0 0 7 8 0 0 0 7 11 0 0 0 8 12 0 0 0 9 10 0 1 0 9 11 1 1 -1 9 12 0 0 1 10 11 1 0 -1 10 12 0 -1 1 11 12 -1 -1 2
Key against the archive (mofplus-deposit)
not compared This record carries no archive key, so the computed key has nothing to be compared with. This is not a disagreement, and for a net the archive does not list it is the expected state.
TD10 as Systre prints it (mofplus-deposit)
575
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)
575.0
Genus (mofplus-deposit)
13
Shells walked (mofplus-deposit)
10
Computed by (invariants, mofplus-deposit)
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)
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, 1913.3.3.12(2).12(2).13(4) 3.3.3.12(2).12(2).16(2) 3^3.12^2.13 4 6 12 18 36 50 76 94 124 154

Cross-checks

Name against the computed key
single-source
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
mofplus
Identifier at the source
ulk-z
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
none No RCSR index: the name ulk-z is not one of the 2930 symbols in the RCSR Systre archive of 2019-06-01, so this net has no position in that ordering and is listed after every net that does.
Complexity rank
2328 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.