Net topology

icc-a

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

JSON · mfpx

192 vertices and 288 edges in the unit cell. 48 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 = 7.5506 Å, b = 7.5506 Å, c = 7.5506 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
192
Transitivity pqrs
2, 4, *, *
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 2 5 0 0 0 2 6 0 0 0 3 7 0 0 0 3 8 0 0 0 4 9 0 0 0 4 10 0 0 0 5 11 0 0 0 5 12 0 0 0 6 13 0 0 0 6 14 0 0 0 7 15 0 0 0 7 16 0 0 0 8 17 0 0 0 8 18 0 0 0 9 19 0 0 0 9 20 0 0 0 10 21 0 0 0 10 22 0 0 0 11 23 0 0 0 11 24 0 0 0 12 25 0 0 0 12 26 0 0 0 13 27 0 0 0 13 28 0 0 0 14 29 0 0 0 14 30 0 0 0 15 26 0 0 0 15 31 0 0 0 16 32 0 0 0 16 33 0 0 0 17 34 0 0 0 17 35 0 0 0 18 24 1 0 0 18 36 0 0 0 19 37 0 0 0 19 38 0 0 0 20 31 0 1 0 20 39 0 0 0 21 40 0 0 0 21 41 0 0 0 22 42 0 0 0 22 43 0 0 0 23 37 0 0 0 23 44 0 0 0 24 45 0 0 0 25 46 0 0 0 25 47 0 0 0 26 48 0 0 0 27 39 0 0 0 27 49 0 0 0 28 48 0 1 0 28 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 32 56 0 0 0 32 57 0 0 0 33 47 1 0 0 33 58 0 0 0 34 38 0 0 0 34 59 0 0 0 35 44 1 0 0 35 60 0 0 0 36 40 0 0 0 36 61 0 0 0 37 62 0 0 0 38 63 0 0 0 39 64 0 0 0 40 65 0 0 0 41 66 0 0 0 41 67 0 0 0 42 55 0 1 0 42 68 0 0 0 43 62 0 0 1 43 69 0 0 0 44 49 0 0 0 45 54 0 0 0 45 58 -1 0 0 46 70 0 0 0 46 71 0 0 0 47 51 0 0 0 48 72 0 0 0 49 68 0 0 -1 50 56 0 1 0 50 73 0 0 0 51 74 0 0 0 52 75 0 0 0 52 76 0 0 0 53 72 0 1 0 53 77 0 0 0 54 64 -1 -1 1 55 61 0 0 0 56 78 0 0 0 57 64 0 -1 0 57 70 1 0 0 58 68 0 -1 0 59 69 0 0 -1 59 79 0 0 0 60 67 1 1 -1 60 80 0 0 0 61 80 -1 -1 1 62 81 0 0 0 63 65 0 0 0 63 82 0 0 0 65 83 0 0 0 66 75 0 0 0 66 84 0 0 0 67 85 0 0 0 69 86 0 0 0 70 76 0 0 -1 71 73 0 -1 0 71 87 0 0 0 72 88 0 0 0 73 89 0 0 0 74 88 0 0 0 74 90 0 0 0 75 91 0 0 0 76 92 0 0 0 77 78 -1 0 1 77 93 0 0 0 78 91 1 0 -1 79 91 1 0 -1 79 94 0 0 0 80 95 0 0 0 81 84 0 0 -1 81 95 -1 0 0 82 85 1 1 -1 82 92 1 1 -1 83 86 0 0 0 83 93 1 0 0 84 87 0 0 1 85 89 0 -1 1 86 90 1 1 0 87 93 1 0 -1 88 96 0 0 0 89 90 0 1 0 92 96 0 0 0 94 95 0 0 0 94 96 1 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
061c186efbcc07b05b62560cc3c3d0a6 (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 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
1 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
2 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
3 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
4 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
5 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
6 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
7 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
8 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
9 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
10 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
11 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
12 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
13 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
14 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
15 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
16 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
17 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
18 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
19 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
20 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
21 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
22 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
23 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
24 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
25 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
26 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
27 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
28 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
29 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
30 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
31 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
32 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
33 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
34 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
35 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
36 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
37 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
38 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
39 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
40 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
41 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
42 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
43 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
44 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
45 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
46 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
47 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
48 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
49 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
50 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
51 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
52 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
53 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
54 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
55 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
56 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
57 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
58 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
59 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
60 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
61 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
62 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
63 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
64 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
65 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
66 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
67 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
68 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
69 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
70 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
71 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
72 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
73 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
74 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
75 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
76 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
77 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
78 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
79 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
80 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
81 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
82 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
83 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
84 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
85 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
86 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
87 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
88 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
89 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
90 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
91 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
92 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
93 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
94 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
95 3 18.9.9(3)3 6 12 23 34 56 82 111 155 203
96 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
97 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
98 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
99 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
100 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
101 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
102 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
103 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
104 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
105 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
106 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
107 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
108 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
109 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
110 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
111 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
112 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
113 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
114 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
115 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
116 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
117 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
118 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
119 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
120 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
121 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
122 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
123 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
124 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
125 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
126 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
127 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
128 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
129 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
130 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
131 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
132 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
133 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
134 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
135 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
136 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
137 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
138 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
139 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
140 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
141 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
142 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
143 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
144 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
145 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
146 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
147 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
148 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
149 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
150 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
151 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
152 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
153 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
154 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
155 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
156 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
157 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
158 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
159 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
160 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
161 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
162 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
163 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
164 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
165 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
166 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
167 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
168 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
169 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
170 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
171 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
172 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
173 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
174 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
175 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
176 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
177 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
178 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
179 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
180 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
181 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
182 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
183 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
184 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
185 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
186 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
187 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
188 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
189 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
190 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196
191 3 18.9(2).9(2)3 6 12 23 36 55 82 117 155 196

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, 4 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)
icc-a
Computed Systre key (mofplus-deposit)
3 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 2 5 0 0 0 2 6 0 0 0 3 7 0 0 0 3 8 0 0 0 4 9 0 0 0 4 10 0 0 0 5 11 0 0 0 5 12 0 0 0 6 13 0 0 0 6 14 0 0 0 7 15 0 0 0 7 16 0 0 0 8 17 0 0 0 8 18 0 0 0 9 19 0 0 0 9 20 0 0 0 10 21 0 0 0 10 22 0 0 0 11 23 0 0 0 11 24 0 0 0 12 25 0 0 0 12 26 0 0 0 13 27 0 0 0 13 28 0 0 0 14 29 0 0 0 14 30 0 0 0 15 26 0 0 0 15 31 0 0 0 16 32 0 0 0 16 33 0 0 0 17 34 0 0 0 17 35 0 0 0 18 24 1 0 0 18 36 0 0 0 19 37 0 0 0 19 38 0 0 0 20 31 0 1 0 20 39 0 0 0 21 40 0 0 0 21 41 0 0 0 22 42 0 0 0 22 43 0 0 0 23 37 0 0 0 23 44 0 0 0 24 45 0 0 0 25 46 0 0 0 25 47 0 0 0 26 48 0 0 0 27 39 0 0 0 27 49 0 0 0 28 48 0 1 0 28 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 32 56 0 0 0 32 57 0 0 0 33 47 1 0 0 33 58 0 0 0 34 38 0 0 0 34 59 0 0 0 35 44 1 0 0 35 60 0 0 0 36 40 0 0 0 36 61 0 0 0 37 62 0 0 0 38 63 0 0 0 39 64 0 0 0 40 65 0 0 0 41 66 0 0 0 41 67 0 0 0 42 55 0 1 0 42 68 0 0 0 43 62 0 0 1 43 69 0 0 0 44 49 0 0 0 45 54 0 0 0 45 58 -1 0 0 46 70 0 0 0 46 71 0 0 0 47 51 0 0 0 48 72 0 0 0 49 68 0 0 -1 50 56 0 1 0 50 73 0 0 0 51 74 0 0 0 52 75 0 0 0 52 76 0 0 0 53 72 0 1 0 53 77 0 0 0 54 64 -1 -1 1 55 61 0 0 0 56 78 0 0 0 57 64 0 -1 0 57 70 1 0 0 58 68 0 -1 0 59 69 0 0 -1 59 79 0 0 0 60 67 1 1 -1 60 80 0 0 0 61 80 -1 -1 1 62 81 0 0 0 63 65 0 0 0 63 82 0 0 0 65 83 0 0 0 66 75 0 0 0 66 84 0 0 0 67 85 0 0 0 69 86 0 0 0 70 76 0 0 -1 71 73 0 -1 0 71 87 0 0 0 72 88 0 0 0 73 89 0 0 0 74 88 0 0 0 74 90 0 0 0 75 91 0 0 0 76 92 0 0 0 77 78 -1 0 1 77 93 0 0 0 78 91 1 0 -1 79 91 1 0 -1 79 94 0 0 0 80 95 0 0 0 81 84 0 0 -1 81 95 -1 0 0 82 85 1 1 -1 82 92 1 1 -1 83 86 0 0 0 83 93 1 0 0 84 87 0 0 1 85 89 0 -1 1 86 90 1 1 0 87 93 1 0 -1 88 96 0 0 0 89 90 0 1 0 92 96 0 0 0 94 95 0 0 0 94 96 1 1 -1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
686
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)
686.0
Genus (mofplus-deposit)
49
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)
686.0
Genus (rcsr-archive-key)
49
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)
(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, 958.9.9(3) 8.9.9(3) 8.9^2 3 6 12 23 34 56 82 111 155 203
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, 1918.9(2).9(2) 8.9(2).9(2) 8.9^2 3 6 12 23 36 55 82 117 155 196

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

Net point symbol (rcsr-archive-key)
(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, 2, 5, 9, 10, 11, 12, 15, 16, 18, 19, 21, 23, 25, 28, 30, 32, 34, 35, 36, 40, 45, 48, 49, 50, 52, 53, 55, 58, 60, 62, 63, 64, 66, 67, 68, 69, 71, 74, 80, 86, 88, 89, 90, 91, 92, 94, 958.9(2).9(2) 8.9(2).9(2) 8.9^2 3 6 12 23 36 55 82 117 155 196
1, 3, 4, 6, 7, 8, 13, 14, 17, 20, 22, 24, 26, 27, 29, 31, 33, 37, 38, 39, 41, 42, 43, 44, 46, 47, 51, 54, 56, 57, 59, 61, 65, 70, 72, 73, 75, 76, 77, 78, 79, 81, 82, 83, 84, 85, 87, 938.9.9(3) 8.9.9(3) 8.9^2 3 6 12 23 34 56 82 111 155 203

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
icc-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
1008 (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
2307 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.