Net topology

gat

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

JSON · mfpx

160 vertices and 288 edges in the unit cell. 75 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 = 5.9855 Å, b = 5.9855 Å, c = 5.9855 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
160
Transitivity pqrs
4, 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
3 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 1 5 0 0 0 1 6 0 0 0 1 7 0 0 0 2 8 0 0 0 2 9 0 0 0 3 10 0 0 0 3 11 0 0 0 4 12 0 0 0 4 13 0 0 0 5 14 0 0 0 5 15 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 23 0 0 0 9 24 0 0 0 9 25 0 0 0 10 22 0 0 0 10 26 0 0 0 10 27 0 0 0 11 28 0 0 0 11 29 0 0 0 11 30 0 0 0 12 24 0 0 0 12 31 0 0 0 12 32 0 0 0 13 33 0 0 0 13 34 0 0 0 13 35 0 0 0 14 29 0 0 0 14 36 0 0 0 14 37 0 0 0 15 38 0 0 0 15 39 0 0 0 15 40 0 0 0 16 33 0 0 0 16 41 0 0 0 16 42 0 0 0 17 43 0 0 0 17 44 0 0 0 17 45 0 0 0 18 40 0 0 0 18 46 0 0 0 18 47 0 0 0 19 45 0 0 0 19 48 0 0 0 19 49 0 0 0 20 50 0 0 0 20 51 0 0 0 21 52 0 0 0 21 53 0 0 0 22 54 0 0 0 23 55 0 0 0 23 56 0 0 0 24 51 0 0 0 25 57 0 0 0 25 58 0 0 0 26 59 0 0 0 26 60 0 0 0 27 55 1 0 0 27 57 1 0 0 28 54 0 0 0 28 61 0 0 0 29 62 0 0 0 30 50 0 0 1 30 56 0 1 0 31 59 0 0 0 31 63 0 0 0 32 53 1 -1 0 32 62 1 -1 0 33 62 1 -1 0 34 57 1 0 0 34 64 0 0 0 35 52 1 -1 1 35 58 1 0 0 36 52 0 0 0 36 65 0 0 0 37 57 0 0 0 37 60 -1 0 0 38 62 0 0 0 38 66 0 0 0 39 59 -1 0 1 39 61 0 -1 1 40 51 0 0 1 41 56 0 0 0 41 67 0 0 0 42 54 0 -1 1 42 63 0 -1 1 43 57 0 0 0 43 68 0 0 0 44 59 -1 0 1 44 64 -1 0 0 45 54 0 -1 1 46 57 1 0 0 46 65 1 0 0 47 56 0 1 0 47 68 1 0 0 48 52 1 -1 1 48 66 1 -1 0 49 51 0 0 1 49 67 0 0 1 50 69 0 0 0 50 70 0 0 0 51 71 0 0 0 51 72 0 0 0 52 70 0 0 0 52 73 0 0 0 53 74 0 0 0 53 75 0 0 0 54 74 0 0 0 54 76 0 0 0 55 69 0 -1 1 55 75 0 -1 0 56 77 0 0 0 56 78 0 0 0 58 74 0 -1 1 58 78 0 0 0 59 75 1 -1 0 59 79 0 0 0 60 70 1 0 0 60 71 1 0 0 61 71 0 1 0 61 77 0 1 0 62 69 0 0 1 62 80 0 0 0 63 72 0 0 0 63 78 0 1 -1 64 72 0 0 1 64 73 1 -1 1 65 76 -1 0 0 65 77 -1 1 0 66 76 -1 0 1 66 79 -1 0 1 67 73 1 -1 0 67 80 1 -1 0 68 79 -1 0 1 68 80 0 0 0
(rcsr)The canonical Systre key, copied verbatim from the local RCSR Systre archive of 2019-06-01 — and corroborated here rather than carried on the word of the archive alone. Systre 19.6.0 was run on the MOF+ deposit, the graph of the uploaded topology file and computed the same key, character for character, so two independent statements of the canonical form of this net agree. The computed key is served under topology.symmetry with the graph it was computed from and the version that computed it. The checksum beside this key is still the one the archive carries, copied from the same block and neither computed nor verified here.
Checksum
4126b38c60119ffd0293c9633e9eaf84 (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: 160 of 160 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. 160 of 160 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 6 -36.6.6.6.6.6.8(2).8(2).8(2).8(2).8(2).8(2).10(4).10(4).10(4)6 12 30 38 90 102 210 182 336 294
1 6 -36.6.6.6.6.6.8(2).8(2).8(2).8(2).8(2).8(2).10(4).10(4).10(4)6 12 30 38 90 102 210 182 336 294
2 6 -36.6.6.6.6.6.8(2).8(2).8(2).8(2).8(2).8(2).10(4).10(4).10(4)6 12 30 38 90 102 210 182 336 294
3 6 -36.6.6.6.6.6.8(2).8(2).8(2).8(2).8(2).8(2).10(4).10(4).10(4)6 12 30 38 90 102 210 182 336 294
4 6 -36.6.6.6.6.6.8(2).8(2).8(2).8(2).8(2).8(2).10(4).10(4).10(4)6 12 30 38 90 102 210 182 336 294
5 6 -36.6.6.6.6.6.8(2).8(2).8(2).8(2).8(2).8(2).10(4).10(4).10(4)6 12 30 38 90 102 210 182 336 294
6 6 -36.6.6.6.6.6.8(2).8(2).8(2).8(2).8(2).8(2).10(4).10(4).10(4)6 12 30 38 90 102 210 182 336 294
7 6 -36.6.6.6.6.6.8(2).8(2).8(2).8(2).8(2).8(2).10(4).10(4).10(4)6 12 30 38 90 102 210 182 336 294
8 6 -36.6.6.6.6.6.8(2).8(2).8(2).8(2).8(2).8(2).10(4).10(4).10(4)6 12 30 38 90 102 210 182 336 294
9 6 -36.6.6.6.6.6.8(2).8(2).8(2).8(2).8(2).8(2).10(4).10(4).10(4)6 12 30 38 90 102 210 182 336 294
10 6 -36.6.6.6.6.6.8(2).8(2).8(2).8(2).8(2).8(2).10(4).10(4).10(4)6 12 30 38 90 102 210 182 336 294
11 6 -36.6.6.6.6.6.8(2).8(2).8(2).8(2).8(2).8(2).10(4).10(4).10(4)6 12 30 38 90 102 210 182 336 294
12 6 -36.6.6.6.6.6.8(2).8(2).8(2).8(2).8(2).8(2).10(4).10(4).10(4)6 12 30 38 90 102 210 182 336 294
13 6 -36.6.6.6.6.6.8(2).8(2).8(2).8(2).8(2).8(2).10(4).10(4).10(4)6 12 30 38 90 102 210 182 336 294
14 6 -36.6.6.6.6.6.8(2).8(2).8(2).8(2).8(2).8(2).10(4).10(4).10(4)6 12 30 38 90 102 210 182 336 294
15 6 -36.6.6.6.6.6.8(2).8(2).8(2).8(2).8(2).8(2).10(4).10(4).10(4)6 12 30 38 90 102 210 182 336 294
16 4 -46.6.6.6.8.84 8 28 46 100 90 184 186 348 274
17 4 -46.6.6.6.8.84 8 28 46 100 90 184 186 348 274
18 4 -46.6.6.6.8.84 8 28 46 100 90 184 186 348 274
19 4 -46.6.6.6.8.84 8 28 46 100 90 184 186 348 274
20 4 -46.6.6.6.8.84 8 28 46 100 90 184 186 348 274
21 4 -46.6.6.6.8.84 8 28 46 100 90 184 186 348 274
22 4 -46.6.6.6.8.84 8 28 46 100 90 184 186 348 274
23 4 -46.6.6.6.8.84 8 28 46 100 90 184 186 348 274
24 4 -46.6.6.6.8.84 8 28 46 100 90 184 186 348 274
25 4 -46.6.6.6.8.84 8 28 46 100 90 184 186 348 274
26 4 -46.6.6.6.8.84 8 28 46 100 90 184 186 348 274
27 4 -46.6.6.6.8.84 8 28 46 100 90 184 186 348 274
28 4 -46.6.6.6.8.84 8 28 46 100 90 184 186 348 274
29 4 -46.6.6.6.8.84 8 28 46 100 90 184 186 348 274
30 4 -46.6.6.6.8.84 8 28 46 100 90 184 186 348 274
31 4 -46.6.6.6.8.84 8 28 46 100 90 184 186 348 274
32 4 -46.6.6.6.8.84 8 28 46 100 90 184 186 348 274
33 4 -46.6.6.6.8.84 8 28 46 100 90 184 186 348 274
34 4 -46.6.6.6.8.84 8 28 46 100 90 184 186 348 274
35 4 -46.6.6.6.8.84 8 28 46 100 90 184 186 348 274
36 4 -46.6.6.6.8.84 8 28 46 100 90 184 186 348 274
37 4 -46.6.6.6.8.84 8 28 46 100 90 184 186 348 274
38 4 -46.6.6.6.8.84 8 28 46 100 90 184 186 348 274
39 4 -46.6.6.6.8.84 8 28 46 100 90 184 186 348 274
40 3 16.6.63 11 19 51 64 134 129 254 226 414
41 3 16.6.63 11 19 51 64 134 129 254 226 414
42 3 16.6.63 11 19 51 64 134 129 254 226 414
43 3 16.6.63 11 19 51 64 134 129 254 226 414
44 3 16.6.63 11 19 51 64 134 129 254 226 414
45 3 16.6.63 11 19 51 64 134 129 254 226 414
46 3 16.6.63 11 19 51 64 134 129 254 226 414
47 3 16.6.63 11 19 51 64 134 129 254 226 414
48 3 16.6.63 11 19 51 64 134 129 254 226 414
49 3 16.6.63 11 19 51 64 134 129 254 226 414
50 3 16.6.63 11 19 51 64 134 129 254 226 414
51 3 16.6.63 11 19 51 64 134 129 254 226 414
52 3 16.6.63 11 19 51 64 134 129 254 226 414
53 3 16.6.63 11 19 51 64 134 129 254 226 414
54 3 16.6.63 11 19 51 64 134 129 254 226 414
55 3 16.6.63 11 19 51 64 134 129 254 226 414
56 3 16.6.63 11 19 51 64 134 129 254 226 414
57 3 16.6.63 11 19 51 64 134 129 254 226 414
58 3 16.6.63 11 19 51 64 134 129 254 226 414
59 3 16.6.63 11 19 51 64 134 129 254 226 414
60 3 16.6.63 11 19 51 64 134 129 254 226 414
61 3 16.6.63 11 19 51 64 134 129 254 226 414
62 3 16.6.63 11 19 51 64 134 129 254 226 414
63 3 16.6.63 11 19 51 64 134 129 254 226 414
64 3 16.6.63 11 19 51 64 134 129 254 226 414
65 3 16.6.63 11 19 51 64 134 129 254 226 414
66 3 16.6.63 11 19 51 64 134 129 254 226 414
67 3 16.6.63 11 19 51 64 134 129 254 226 414
68 3 16.6.63 11 19 51 64 134 129 254 226 414
69 3 16.6.63 11 19 51 64 134 129 254 226 414
70 3 16.6.63 11 19 51 64 134 129 254 226 414
71 3 16.6.63 11 19 51 64 134 129 254 226 414
72 3 16.6.63 11 19 51 64 134 129 254 226 414
73 3 16.6.63 11 19 51 64 134 129 254 226 414
74 3 16.6.63 11 19 51 64 134 129 254 226 414
75 3 16.6.63 11 19 51 64 134 129 254 226 414
76 3 16.6.63 11 19 51 64 134 129 254 226 414
77 3 16.6.63 11 19 51 64 134 129 254 226 414
78 3 16.6.63 11 19 51 64 134 129 254 226 414
79 3 16.6.63 11 19 51 64 134 129 254 226 414
80 3 16.6.63 11 19 51 64 134 129 254 226 414
81 3 16.6.63 11 19 51 64 134 129 254 226 414
82 3 16.6.63 11 19 51 64 134 129 254 226 414
83 3 16.6.63 11 19 51 64 134 129 254 226 414
84 3 16.6.63 11 19 51 64 134 129 254 226 414
85 3 16.6.63 11 19 51 64 134 129 254 226 414
86 3 16.6.63 11 19 51 64 134 129 254 226 414
87 3 16.6.63 11 19 51 64 134 129 254 226 414
88 3 16.6.63 11 19 51 64 134 129 254 226 414
89 3 16.6.63 11 19 51 64 134 129 254 226 414
90 3 16.6.63 11 19 51 64 134 129 254 226 414
91 3 16.6.63 11 19 51 64 134 129 254 226 414
92 3 16.6.63 11 19 51 64 134 129 254 226 414
93 3 16.6.63 11 19 51 64 134 129 254 226 414
94 3 16.6.63 11 19 51 64 134 129 254 226 414
95 3 16.6.63 11 19 51 64 134 129 254 226 414
96 3 16.6.63 11 19 51 64 134 129 254 226 414
97 3 16.6.63 11 19 51 64 134 129 254 226 414
98 3 16.6.63 11 19 51 64 134 129 254 226 414
99 3 16.6.63 11 19 51 64 134 129 254 226 414
100 3 16.6.63 11 19 51 64 134 129 254 226 414
101 3 16.6.63 11 19 51 64 134 129 254 226 414
102 3 16.6.63 11 19 51 64 134 129 254 226 414
103 3 16.6.63 11 19 51 64 134 129 254 226 414
104 3 16.6.63 11 19 51 64 134 129 254 226 414
105 3 16.6.63 11 19 51 64 134 129 254 226 414
106 3 16.6.63 11 19 51 64 134 129 254 226 414
107 3 16.6.63 11 19 51 64 134 129 254 226 414
108 3 16.6.63 11 19 51 64 134 129 254 226 414
109 3 16.6.63 11 19 51 64 134 129 254 226 414
110 3 16.6.63 11 19 51 64 134 129 254 226 414
111 3 16.6.63 11 19 51 64 134 129 254 226 414
112 3 16.6.63 11 19 51 64 134 129 254 226 414
113 3 16.6.63 11 19 51 64 134 129 254 226 414
114 3 16.6.63 11 19 51 64 134 129 254 226 414
115 3 16.6.63 11 19 51 64 134 129 254 226 414
116 3 16.6.63 11 19 51 64 134 129 254 226 414
117 3 16.6.63 11 19 51 64 134 129 254 226 414
118 3 16.6.63 11 19 51 64 134 129 254 226 414
119 3 16.6.63 11 19 51 64 134 129 254 226 414
120 3 16.6.63 11 19 51 64 134 129 254 226 414
121 3 16.6.63 11 19 51 64 134 129 254 226 414
122 3 16.6.63 11 19 51 64 134 129 254 226 414
123 3 16.6.63 11 19 51 64 134 129 254 226 414
124 3 16.6.63 11 19 51 64 134 129 254 226 414
125 3 16.6.63 11 19 51 64 134 129 254 226 414
126 3 16.6.63 11 19 51 64 134 129 254 226 414
127 3 16.6.63 11 19 51 64 134 129 254 226 414
128 3 16.6.63 11 19 51 64 134 129 254 226 414
129 3 16.6.63 11 19 51 64 134 129 254 226 414
130 3 16.6.63 11 19 51 64 134 129 254 226 414
131 3 16.6.63 11 19 51 64 134 129 254 226 414
132 3 16.6.63 11 19 51 64 134 129 254 226 414
133 3 16.6.63 11 19 51 64 134 129 254 226 414
134 3 16.6.63 11 19 51 64 134 129 254 226 414
135 3 16.6.63 11 19 51 64 134 129 254 226 414
136 4 2226(2).6(2).8.8.8(2).8(2)4 8 28 42 96 98 192 174 332 294
137 4 2226(2).6(2).8.8.8(2).8(2)4 8 28 42 96 98 192 174 332 294
138 4 2226(2).6(2).8.8.8(2).8(2)4 8 28 42 96 98 192 174 332 294
139 4 2226(2).6(2).8.8.8(2).8(2)4 8 28 42 96 98 192 174 332 294
140 4 2226(2).6(2).8.8.8(2).8(2)4 8 28 42 96 98 192 174 332 294
141 4 2226(2).6(2).8.8.8(2).8(2)4 8 28 42 96 98 192 174 332 294
142 4 2226(2).6(2).8.8.8(2).8(2)4 8 28 42 96 98 192 174 332 294
143 4 2226(2).6(2).8.8.8(2).8(2)4 8 28 42 96 98 192 174 332 294
144 4 2226(2).6(2).8.8.8(2).8(2)4 8 28 42 96 98 192 174 332 294
145 4 2226(2).6(2).8.8.8(2).8(2)4 8 28 42 96 98 192 174 332 294
146 4 2226(2).6(2).8.8.8(2).8(2)4 8 28 42 96 98 192 174 332 294
147 4 2226(2).6(2).8.8.8(2).8(2)4 8 28 42 96 98 192 174 332 294
148 4 2226(2).6(2).8.8.8(2).8(2)4 8 28 42 96 98 192 174 332 294
149 4 2226(2).6(2).8.8.8(2).8(2)4 8 28 42 96 98 192 174 332 294
150 4 2226(2).6(2).8.8.8(2).8(2)4 8 28 42 96 98 192 174 332 294
151 4 2226(2).6(2).8.8.8(2).8(2)4 8 28 42 96 98 192 174 332 294
152 4 2226(2).6(2).8.8.8(2).8(2)4 8 28 42 96 98 192 174 332 294
153 4 2226(2).6(2).8.8.8(2).8(2)4 8 28 42 96 98 192 174 332 294
154 4 2226(2).6(2).8.8.8(2).8(2)4 8 28 42 96 98 192 174 332 294
155 4 2226(2).6(2).8.8.8(2).8(2)4 8 28 42 96 98 192 174 332 294
156 4 2226(2).6(2).8.8.8(2).8(2)4 8 28 42 96 98 192 174 332 294
157 4 2226(2).6(2).8.8.8(2).8(2)4 8 28 42 96 98 192 174 332 294
158 4 2226(2).6(2).8.8.8(2).8(2)4 8 28 42 96 98 192 174 332 294
159 4 2226(2).6(2).8.8.8(2).8(2)4 8 28 42 96 98 192 174 332 294

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)
4, 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)
2
RCSR identification (mofplus-deposit)
gat
Computed Systre key (mofplus-deposit)
3 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 1 5 0 0 0 1 6 0 0 0 1 7 0 0 0 2 8 0 0 0 2 9 0 0 0 3 10 0 0 0 3 11 0 0 0 4 12 0 0 0 4 13 0 0 0 5 14 0 0 0 5 15 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 23 0 0 0 9 24 0 0 0 9 25 0 0 0 10 22 0 0 0 10 26 0 0 0 10 27 0 0 0 11 28 0 0 0 11 29 0 0 0 11 30 0 0 0 12 24 0 0 0 12 31 0 0 0 12 32 0 0 0 13 33 0 0 0 13 34 0 0 0 13 35 0 0 0 14 29 0 0 0 14 36 0 0 0 14 37 0 0 0 15 38 0 0 0 15 39 0 0 0 15 40 0 0 0 16 33 0 0 0 16 41 0 0 0 16 42 0 0 0 17 43 0 0 0 17 44 0 0 0 17 45 0 0 0 18 40 0 0 0 18 46 0 0 0 18 47 0 0 0 19 45 0 0 0 19 48 0 0 0 19 49 0 0 0 20 50 0 0 0 20 51 0 0 0 21 52 0 0 0 21 53 0 0 0 22 54 0 0 0 23 55 0 0 0 23 56 0 0 0 24 51 0 0 0 25 57 0 0 0 25 58 0 0 0 26 59 0 0 0 26 60 0 0 0 27 55 1 0 0 27 57 1 0 0 28 54 0 0 0 28 61 0 0 0 29 62 0 0 0 30 50 0 0 1 30 56 0 1 0 31 59 0 0 0 31 63 0 0 0 32 53 1 -1 0 32 62 1 -1 0 33 62 1 -1 0 34 57 1 0 0 34 64 0 0 0 35 52 1 -1 1 35 58 1 0 0 36 52 0 0 0 36 65 0 0 0 37 57 0 0 0 37 60 -1 0 0 38 62 0 0 0 38 66 0 0 0 39 59 -1 0 1 39 61 0 -1 1 40 51 0 0 1 41 56 0 0 0 41 67 0 0 0 42 54 0 -1 1 42 63 0 -1 1 43 57 0 0 0 43 68 0 0 0 44 59 -1 0 1 44 64 -1 0 0 45 54 0 -1 1 46 57 1 0 0 46 65 1 0 0 47 56 0 1 0 47 68 1 0 0 48 52 1 -1 1 48 66 1 -1 0 49 51 0 0 1 49 67 0 0 1 50 69 0 0 0 50 70 0 0 0 51 71 0 0 0 51 72 0 0 0 52 70 0 0 0 52 73 0 0 0 53 74 0 0 0 53 75 0 0 0 54 74 0 0 0 54 76 0 0 0 55 69 0 -1 1 55 75 0 -1 0 56 77 0 0 0 56 78 0 0 0 58 74 0 -1 1 58 78 0 0 0 59 75 1 -1 0 59 79 0 0 0 60 70 1 0 0 60 71 1 0 0 61 71 0 1 0 61 77 0 1 0 62 69 0 0 1 62 80 0 0 0 63 72 0 0 0 63 78 0 1 -1 64 72 0 0 1 64 73 1 -1 1 65 76 -1 0 0 65 77 -1 1 0 66 76 -1 0 1 66 79 -1 0 1 67 73 1 -1 0 67 80 1 -1 0 68 79 -1 0 1 68 80 0 0 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
1294
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)
1294.4
Genus (mofplus-deposit)
65
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)
1294.4
Genus (rcsr-archive-key)
65
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)
(6^3)12(6^2.8^4)3(6^4.8^2)3(6^6.8^6.10^3)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, 156.6.6.6.6.6.8(2).8(2).8(2).8(2).8(2).8(2).10(4).10(4).10(4) 6.6.6.6.6.6.8(2).8(2).8(2).8(2).8(2).8(2).10(2).10(2).10(2) 6^6.8^6.10^3 6 12 30 38 90 102 210 182 336 294
16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 396.6.6.6.8.8 6.6.6.6.8.8 6^4.8^2 4 8 28 46 100 90 184 186 348 274
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, 1356.6.6 6.6.6 6^3 3 11 19 51 64 134 129 254 226 414
136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 1596(2).6(2).8.8.8(2).8(2) 6(2).6(2).8.8.8(2).8(2) 6^2.8^4 4 8 28 42 96 98 192 174 332 294

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

Net point symbol (rcsr-archive-key)
(6^3)12(6^2.8^4)3(6^4.8^2)3(6^6.8^6.10^3)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, 50, 51, 53, 55, 56, 58, 616.6.6.6.6.6.8(2).8(2).8(2).8(2).8(2).8(2).10(4).10(4).10(4) 6.6.6.6.6.6.8(2).8(2).8(2).8(2).8(2).8(2).10(2).10(2).10(2) 6^6.8^6.10^3 6 12 30 38 90 102 210 182 336 294
1, 2, 3, 4, 5, 6, 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, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 796.6.6 6.6.6 6^3 3 11 19 51 64 134 129 254 226 414
7, 10, 11, 14, 15, 18, 54, 57, 59, 63, 64, 676.6.6.6.8.8 6.6.6.6.8.8 6^4.8^2 4 8 28 46 100 90 184 186 348 274
8, 9, 12, 13, 16, 17, 49, 52, 60, 62, 65, 666(2).6(2).8.8.8(2).8(2) 6(2).6(2).8.8.8(2).8(2) 6^2.8^4 4 8 28 42 96 98 192 174 332 294

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 160 of 160 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 160 of 160 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
gat
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
885 (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
2293 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.