MOF++

Data › Nets › hef

Net topology

hef

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

JSON · mfpx

192 vertices and 288 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 = 8.9120 Å, b = 8.9120 Å, c = 8.9120 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 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 12 0 0 0 7 15 0 0 0 8 16 0 0 0 8 17 0 0 0 9 18 0 0 0 9 19 0 0 0 10 17 0 0 0 10 20 0 0 0 11 21 0 0 0 11 22 0 0 0 12 23 0 0 0 13 24 0 0 0 13 25 0 0 0 14 26 0 0 0 14 27 0 0 0 15 28 0 0 0 15 29 0 0 0 16 30 0 0 0 16 31 0 0 0 17 32 0 0 0 18 27 0 0 0 18 33 0 0 0 19 34 0 0 0 19 35 0 0 0 20 34 0 0 0 20 36 0 0 0 21 37 0 0 0 21 38 0 0 0 22 39 0 0 0 22 40 0 0 0 23 41 0 0 0 23 42 0 0 0 24 38 0 0 0 24 43 0 0 0 25 44 0 0 0 25 45 0 0 0 26 45 0 0 0 26 46 0 0 0 27 47 0 0 0 28 48 0 0 0 28 49 0 0 0 29 42 0 0 0 29 50 0 0 0 30 49 0 0 0 30 51 0 0 0 31 52 0 0 0 31 53 0 0 0 32 54 0 0 0 32 55 0 0 0 33 56 0 0 0 33 57 0 0 0 34 58 0 0 0 35 59 0 0 0 35 60 0 0 0 36 61 0 0 0 36 62 0 0 0 37 63 0 0 0 37 64 0 0 0 38 65 0 0 0 39 57 1 0 0 39 64 0 0 0 40 66 0 0 0 40 67 0 0 0 41 67 0 0 0 41 68 0 0 0 42 69 0 0 0 43 52 0 0 1 43 59 0 1 0 44 53 0 0 1 44 70 0 0 0 45 71 0 0 0 46 72 0 0 0 46 73 0 0 0 47 73 0 0 0 47 74 0 0 0 48 75 0 0 0 48 76 0 0 0 49 77 0 0 0 50 70 1 -1 0 50 71 1 -1 0 51 78 0 0 0 51 79 0 0 0 52 79 0 0 0 53 80 0 0 0 54 63 -1 0 -1 54 81 0 0 0 55 64 -1 0 -1 55 80 0 0 0 56 74 0 0 0 56 82 0 0 0 57 83 0 0 0 58 68 0 0 0 58 69 0 0 0 59 84 0 0 0 60 79 0 -1 1 60 83 0 0 0 61 69 0 0 0 61 85 0 0 0 62 81 0 0 0 62 86 0 0 0 63 76 0 0 1 65 75 0 0 1 65 84 0 1 0 66 83 1 0 0 66 87 0 0 0 67 72 1 -1 1 68 88 0 0 0 70 89 0 0 0 71 90 0 0 0 72 91 0 0 0 73 92 0 0 0 74 93 0 0 0 75 94 0 0 0 76 90 1 -1 0 77 94 0 0 0 77 95 0 0 0 78 86 0 1 0 78 95 0 0 0 80 82 0 0 -1 81 96 0 0 0 82 89 0 0 0 84 88 0 0 0 85 89 1 -1 0 85 93 1 -1 0 86 87 -1 0 -1 87 91 1 -1 1 88 92 1 -1 1 90 96 0 1 0 91 96 0 1 0 92 94 -1 0 0 93 95 -1 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
9c2aa907d81bb93305920254842fc2d6 (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 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 3 16.8.83 6 11 17 25 36 50 69 91 112
1 3 16.8.83 6 11 17 25 36 50 69 91 112
2 3 16.8.83 6 11 17 25 36 50 69 91 112
3 3 16.8.83 6 11 17 25 36 50 69 91 112
4 3 16.8.83 6 11 17 25 36 50 69 91 112
5 3 16.8.83 6 11 17 25 36 50 69 91 112
6 3 16.8.83 6 11 17 25 36 50 69 91 112
7 3 16.8.83 6 11 17 25 36 50 69 91 112
8 3 16.8.83 6 11 17 25 36 50 69 91 112
9 3 16.8.83 6 11 17 25 36 50 69 91 112
10 3 16.8.83 6 11 17 25 36 50 69 91 112
11 3 16.8.83 6 11 17 25 36 50 69 91 112
12 3 16.8.83 6 11 17 25 36 50 69 91 112
13 3 16.8.83 6 11 17 25 36 50 69 91 112
14 3 16.8.83 6 11 17 25 36 50 69 91 112
15 3 16.8.83 6 11 17 25 36 50 69 91 112
16 3 16.8.83 6 11 17 25 36 50 69 91 112
17 3 16.8.83 6 11 17 25 36 50 69 91 112
18 3 16.8.83 6 11 17 25 36 50 69 91 112
19 3 16.8.83 6 11 17 25 36 50 69 91 112
20 3 16.8.83 6 11 17 25 36 50 69 91 112
21 3 16.8.83 6 11 17 25 36 50 69 91 112
22 3 16.8.83 6 11 17 25 36 50 69 91 112
23 3 16.8.83 6 11 17 25 36 50 69 91 112
24 3 16.8.83 6 11 17 25 36 50 69 91 112
25 3 16.8.83 6 11 17 25 36 50 69 91 112
26 3 16.8.83 6 11 17 25 36 50 69 91 112
27 3 16.8.83 6 11 17 25 36 50 69 91 112
28 3 16.8.83 6 11 17 25 36 50 69 91 112
29 3 16.8.83 6 11 17 25 36 50 69 91 112
30 3 16.8.83 6 11 17 25 36 50 69 91 112
31 3 16.8.83 6 11 17 25 36 50 69 91 112
32 3 16.8.83 6 11 17 25 36 50 69 91 112
33 3 16.8.83 6 11 17 25 36 50 69 91 112
34 3 16.8.83 6 11 17 25 36 50 69 91 112
35 3 16.8.83 6 11 17 25 36 50 69 91 112
36 3 16.8.83 6 11 17 25 36 50 69 91 112
37 3 16.8.83 6 11 17 25 36 50 69 91 112
38 3 16.8.83 6 11 17 25 36 50 69 91 112
39 3 16.8.83 6 11 17 25 36 50 69 91 112
40 3 16.8.83 6 11 17 25 36 50 69 91 112
41 3 16.8.83 6 11 17 25 36 50 69 91 112
42 3 16.8.83 6 11 17 25 36 50 69 91 112
43 3 16.8.83 6 11 17 25 36 50 69 91 112
44 3 16.8.83 6 11 17 25 36 50 69 91 112
45 3 16.8.83 6 11 17 25 36 50 69 91 112
46 3 16.8.83 6 11 17 25 36 50 69 91 112
47 3 16.8.83 6 11 17 25 36 50 69 91 112
48 3 16.8.83 6 11 17 25 36 50 69 91 112
49 3 16.8.83 6 11 17 25 36 50 69 91 112
50 3 16.8.83 6 11 17 25 36 50 69 91 112
51 3 16.8.83 6 11 17 25 36 50 69 91 112
52 3 16.8.83 6 11 17 25 36 50 69 91 112
53 3 16.8.83 6 11 17 25 36 50 69 91 112
54 3 16.8.83 6 11 17 25 36 50 69 91 112
55 3 16.8.83 6 11 17 25 36 50 69 91 112
56 3 16.8.83 6 11 17 25 36 50 69 91 112
57 3 16.8.83 6 11 17 25 36 50 69 91 112
58 3 16.8.83 6 11 17 25 36 50 69 91 112
59 3 16.8.83 6 11 17 25 36 50 69 91 112
60 3 16.8.83 6 11 17 25 36 50 69 91 112
61 3 16.8.83 6 11 17 25 36 50 69 91 112
62 3 16.8.83 6 11 17 25 36 50 69 91 112
63 3 16.8.83 6 11 17 25 36 50 69 91 112
64 3 16.8.83 6 11 17 25 36 50 69 91 112
65 3 16.8.83 6 11 17 25 36 50 69 91 112
66 3 16.8.83 6 11 17 25 36 50 69 91 112
67 3 16.8.83 6 11 17 25 36 50 69 91 112
68 3 16.8.83 6 11 17 25 36 50 69 91 112
69 3 16.8.83 6 11 17 25 36 50 69 91 112
70 3 16.8.83 6 11 17 25 36 50 69 91 112
71 3 16.8.83 6 11 17 25 36 50 69 91 112
72 3 16.8.83 6 11 17 25 36 50 69 91 112
73 3 16.8.83 6 11 17 25 36 50 69 91 112
74 3 16.8.83 6 11 17 25 36 50 69 91 112
75 3 16.8.83 6 11 17 25 36 50 69 91 112
76 3 16.8.83 6 11 17 25 36 50 69 91 112
77 3 16.8.83 6 11 17 25 36 50 69 91 112
78 3 16.8.83 6 11 17 25 36 50 69 91 112
79 3 16.8.83 6 11 17 25 36 50 69 91 112
80 3 16.8.83 6 11 17 25 36 50 69 91 112
81 3 16.8.83 6 11 17 25 36 50 69 91 112
82 3 16.8.83 6 11 17 25 36 50 69 91 112
83 3 16.8.83 6 11 17 25 36 50 69 91 112
84 3 16.8.83 6 11 17 25 36 50 69 91 112
85 3 16.8.83 6 11 17 25 36 50 69 91 112
86 3 16.8.83 6 11 17 25 36 50 69 91 112
87 3 16.8.83 6 11 17 25 36 50 69 91 112
88 3 16.8.83 6 11 17 25 36 50 69 91 112
89 3 16.8.83 6 11 17 25 36 50 69 91 112
90 3 16.8.83 6 11 17 25 36 50 69 91 112
91 3 16.8.83 6 11 17 25 36 50 69 91 112
92 3 16.8.83 6 11 17 25 36 50 69 91 112
93 3 16.8.83 6 11 17 25 36 50 69 91 112
94 3 16.8.83 6 11 17 25 36 50 69 91 112
95 3 16.8.83 6 11 17 25 36 50 69 91 112
96 3 16.6.83 6 10 16 26 37 50 68 89 111
97 3 16.6.83 6 10 16 26 37 50 68 89 111
98 3 16.6.83 6 10 16 26 37 50 68 89 111
99 3 16.6.83 6 10 16 26 37 50 68 89 111
100 3 16.6.83 6 10 16 26 37 50 68 89 111
101 3 16.6.83 6 10 16 26 37 50 68 89 111
102 3 16.6.83 6 10 16 26 37 50 68 89 111
103 3 16.6.83 6 10 16 26 37 50 68 89 111
104 3 16.6.83 6 10 16 26 37 50 68 89 111
105 3 16.6.83 6 10 16 26 37 50 68 89 111
106 3 16.6.83 6 10 16 26 37 50 68 89 111
107 3 16.6.83 6 10 16 26 37 50 68 89 111
108 3 16.6.83 6 10 16 26 37 50 68 89 111
109 3 16.6.83 6 10 16 26 37 50 68 89 111
110 3 16.6.83 6 10 16 26 37 50 68 89 111
111 3 16.6.83 6 10 16 26 37 50 68 89 111
112 3 16.6.83 6 10 16 26 37 50 68 89 111
113 3 16.6.83 6 10 16 26 37 50 68 89 111
114 3 16.6.83 6 10 16 26 37 50 68 89 111
115 3 16.6.83 6 10 16 26 37 50 68 89 111
116 3 16.6.83 6 10 16 26 37 50 68 89 111
117 3 16.6.83 6 10 16 26 37 50 68 89 111
118 3 16.6.83 6 10 16 26 37 50 68 89 111
119 3 16.6.83 6 10 16 26 37 50 68 89 111
120 3 16.6.83 6 10 16 26 37 50 68 89 111
121 3 16.6.83 6 10 16 26 37 50 68 89 111
122 3 16.6.83 6 10 16 26 37 50 68 89 111
123 3 16.6.83 6 10 16 26 37 50 68 89 111
124 3 16.6.83 6 10 16 26 37 50 68 89 111
125 3 16.6.83 6 10 16 26 37 50 68 89 111
126 3 16.6.83 6 10 16 26 37 50 68 89 111
127 3 16.6.83 6 10 16 26 37 50 68 89 111
128 3 16.6.83 6 10 16 26 37 50 68 89 111
129 3 16.6.83 6 10 16 26 37 50 68 89 111
130 3 16.6.83 6 10 16 26 37 50 68 89 111
131 3 16.6.83 6 10 16 26 37 50 68 89 111
132 3 16.6.83 6 10 16 26 37 50 68 89 111
133 3 16.6.83 6 10 16 26 37 50 68 89 111
134 3 16.6.83 6 10 16 26 37 50 68 89 111
135 3 16.6.83 6 10 16 26 37 50 68 89 111
136 3 16.6.83 6 10 16 26 37 50 68 89 111
137 3 16.6.83 6 10 16 26 37 50 68 89 111
138 3 16.6.83 6 10 16 26 37 50 68 89 111
139 3 16.6.83 6 10 16 26 37 50 68 89 111
140 3 16.6.83 6 10 16 26 37 50 68 89 111
141 3 16.6.83 6 10 16 26 37 50 68 89 111
142 3 16.6.83 6 10 16 26 37 50 68 89 111
143 3 16.6.83 6 10 16 26 37 50 68 89 111
144 3 16.6.83 6 10 16 26 37 50 68 89 111
145 3 16.6.83 6 10 16 26 37 50 68 89 111
146 3 16.6.83 6 10 16 26 37 50 68 89 111
147 3 16.6.83 6 10 16 26 37 50 68 89 111
148 3 16.6.83 6 10 16 26 37 50 68 89 111
149 3 16.6.83 6 10 16 26 37 50 68 89 111
150 3 16.6.83 6 10 16 26 37 50 68 89 111
151 3 16.6.83 6 10 16 26 37 50 68 89 111
152 3 16.6.83 6 10 16 26 37 50 68 89 111
153 3 16.6.83 6 10 16 26 37 50 68 89 111
154 3 16.6.83 6 10 16 26 37 50 68 89 111
155 3 16.6.83 6 10 16 26 37 50 68 89 111
156 3 16.6.83 6 10 16 26 37 50 68 89 111
157 3 16.6.83 6 10 16 26 37 50 68 89 111
158 3 16.6.83 6 10 16 26 37 50 68 89 111
159 3 16.6.83 6 10 16 26 37 50 68 89 111
160 3 16.6.83 6 10 16 26 37 50 68 89 111
161 3 16.6.83 6 10 16 26 37 50 68 89 111
162 3 16.6.83 6 10 16 26 37 50 68 89 111
163 3 16.6.83 6 10 16 26 37 50 68 89 111
164 3 16.6.83 6 10 16 26 37 50 68 89 111
165 3 16.6.83 6 10 16 26 37 50 68 89 111
166 3 16.6.83 6 10 16 26 37 50 68 89 111
167 3 16.6.83 6 10 16 26 37 50 68 89 111
168 3 16.6.83 6 10 16 26 37 50 68 89 111
169 3 16.6.83 6 10 16 26 37 50 68 89 111
170 3 16.6.83 6 10 16 26 37 50 68 89 111
171 3 16.6.83 6 10 16 26 37 50 68 89 111
172 3 16.6.83 6 10 16 26 37 50 68 89 111
173 3 16.6.83 6 10 16 26 37 50 68 89 111
174 3 16.6.83 6 10 16 26 37 50 68 89 111
175 3 16.6.83 6 10 16 26 37 50 68 89 111
176 3 16.6.83 6 10 16 26 37 50 68 89 111
177 3 16.6.83 6 10 16 26 37 50 68 89 111
178 3 16.6.83 6 10 16 26 37 50 68 89 111
179 3 16.6.83 6 10 16 26 37 50 68 89 111
180 3 16.6.83 6 10 16 26 37 50 68 89 111
181 3 16.6.83 6 10 16 26 37 50 68 89 111
182 3 16.6.83 6 10 16 26 37 50 68 89 111
183 3 16.6.83 6 10 16 26 37 50 68 89 111
184 3 16.6.83 6 10 16 26 37 50 68 89 111
185 3 16.6.83 6 10 16 26 37 50 68 89 111
186 3 16.6.83 6 10 16 26 37 50 68 89 111
187 3 16.6.83 6 10 16 26 37 50 68 89 111
188 3 16.6.83 6 10 16 26 37 50 68 89 111
189 3 16.6.83 6 10 16 26 37 50 68 89 111
190 3 16.6.83 6 10 16 26 37 50 68 89 111
191 3 16.6.83 6 10 16 26 37 50 68 89 111

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)
Im-3m (No. 229)
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)
hef
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 12 0 0 0 7 15 0 0 0 8 16 0 0 0 8 17 0 0 0 9 18 0 0 0 9 19 0 0 0 10 17 0 0 0 10 20 0 0 0 11 21 0 0 0 11 22 0 0 0 12 23 0 0 0 13 24 0 0 0 13 25 0 0 0 14 26 0 0 0 14 27 0 0 0 15 28 0 0 0 15 29 0 0 0 16 30 0 0 0 16 31 0 0 0 17 32 0 0 0 18 27 0 0 0 18 33 0 0 0 19 34 0 0 0 19 35 0 0 0 20 34 0 0 0 20 36 0 0 0 21 37 0 0 0 21 38 0 0 0 22 39 0 0 0 22 40 0 0 0 23 41 0 0 0 23 42 0 0 0 24 38 0 0 0 24 43 0 0 0 25 44 0 0 0 25 45 0 0 0 26 45 0 0 0 26 46 0 0 0 27 47 0 0 0 28 48 0 0 0 28 49 0 0 0 29 42 0 0 0 29 50 0 0 0 30 49 0 0 0 30 51 0 0 0 31 52 0 0 0 31 53 0 0 0 32 54 0 0 0 32 55 0 0 0 33 56 0 0 0 33 57 0 0 0 34 58 0 0 0 35 59 0 0 0 35 60 0 0 0 36 61 0 0 0 36 62 0 0 0 37 63 0 0 0 37 64 0 0 0 38 65 0 0 0 39 57 1 0 0 39 64 0 0 0 40 66 0 0 0 40 67 0 0 0 41 67 0 0 0 41 68 0 0 0 42 69 0 0 0 43 52 0 0 1 43 59 0 1 0 44 53 0 0 1 44 70 0 0 0 45 71 0 0 0 46 72 0 0 0 46 73 0 0 0 47 73 0 0 0 47 74 0 0 0 48 75 0 0 0 48 76 0 0 0 49 77 0 0 0 50 70 1 -1 0 50 71 1 -1 0 51 78 0 0 0 51 79 0 0 0 52 79 0 0 0 53 80 0 0 0 54 63 -1 0 -1 54 81 0 0 0 55 64 -1 0 -1 55 80 0 0 0 56 74 0 0 0 56 82 0 0 0 57 83 0 0 0 58 68 0 0 0 58 69 0 0 0 59 84 0 0 0 60 79 0 -1 1 60 83 0 0 0 61 69 0 0 0 61 85 0 0 0 62 81 0 0 0 62 86 0 0 0 63 76 0 0 1 65 75 0 0 1 65 84 0 1 0 66 83 1 0 0 66 87 0 0 0 67 72 1 -1 1 68 88 0 0 0 70 89 0 0 0 71 90 0 0 0 72 91 0 0 0 73 92 0 0 0 74 93 0 0 0 75 94 0 0 0 76 90 1 -1 0 77 94 0 0 0 77 95 0 0 0 78 86 0 1 0 78 95 0 0 0 80 82 0 0 -1 81 96 0 0 0 82 89 0 0 0 84 88 0 0 0 85 89 1 -1 0 85 93 1 -1 0 86 87 -1 0 -1 87 91 1 -1 1 88 92 1 -1 1 90 96 0 1 0 91 96 0 1 0 92 94 -1 0 0 93 95 -1 0 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
419
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)
419.0
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)
419.0
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)
(6.8^2)(6^2.8)
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, 956.8.8 6.8.8 6.8^2 3 6 11 17 25 36 50 69 91 112
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, 1916.6.8 6.6.8 6^2.8 3 6 10 16 26 37 50 68 89 111

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

Net point symbol (rcsr-archive-key)
(6.8^2)(6^2.8)
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, 3, 6, 9, 11, 13, 19, 21, 22, 24, 25, 26, 29, 33, 36, 38, 39, 41, 42, 43, 44, 46, 48, 50, 51, 53, 55, 57, 58, 62, 63, 64, 65, 68, 69, 73, 74, 76, 78, 80, 81, 83, 86, 88, 90, 93, 956.6.8 6.6.8 6^2.8 3 6 10 16 26 37 50 68 89 111
1, 4, 5, 7, 8, 10, 12, 14, 15, 16, 17, 18, 20, 23, 27, 28, 30, 31, 32, 34, 35, 37, 40, 45, 47, 49, 52, 54, 56, 59, 60, 61, 66, 67, 70, 71, 72, 75, 77, 79, 82, 84, 85, 87, 89, 91, 92, 946.8.8 6.8.8 6.8^2 3 6 11 17 25 36 50 69 91 112

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
hef
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
945 (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
2306 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.