Table 1.
(h, k) = T | N | 1:1 | 2:1 | 3:1 | 5:1 |
---|---|---|---|---|---|
(1, 0) = 1 | 12 | S | S | S | S |
(1, 1) = 3 | 32 | S | I | ||
(2, 0) = 4 | 42 | S | S | S | |
(2, 1) = 7 | 72 | S | S | S | S |
(3, 0) = 9 | 92 | S | S | ||
(2, 2) = 12 | 122 | S | |||
(3, 1) = 13 | 132 | S | S | I | I |
(4, 0) = 16 | 162 | S | S | S | |
(3, 2) = 19 | 192 | S | S | S | I |
(4, 1) = 21 | 212 | S | I | ||
(5, 0) = 25 | 252 | S | S | S | S |
(3, 3) = 27 | 272 | S | S | ||
(4, 2) = 28 | 282 | S | S | S | |
(5, 1) = 31 | 312 | S | S | I | I |
(6, 0) = 36 | 362 | S | |||
(4, 3) = 37 | 372 | S | S | I | S |
(5, 2) = 39 | 392 | S | S | ||
(6, 1) = 43 | 432 | S | S | I | I |
(4, 4) = 48 | 482 | S |
From left to right: T number, total number of charges, stoichiometric ratios. An empty entry means the configuration is not allowed because of global electroneutrality. We note that stoichiometric ratios 1:1 and 4:1 form square lattices on a plane, whereas the others form triangular lattices. However, the case 4:1 never fulfills the electroneutrality condition for any given T triangulation. The letters ″S″ and ″I″ indicate that the most stable structure is the sphere (S) or icosahedron (I), respectively.