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. 2007 Nov 14;104(47):18382–18386. doi: 10.1073/pnas.0703431104

Table 1.

Lowest energy configurations at different stoichiometric ratios

(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.