2009
DOI: 10.1021/jp905926j
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Double Aromaticity in “Boron Toroids”

Abstract: Ring current maps for the toroidal boron clusters B2n (n = 6−14) are computed within the ipsocentric approach. They reveal double aromaticity for the clusters with even n but mixed aromaticity for those with odd n, consistent with angular momentum selection rules extended to the separate radial and tangential manifolds of molecular orbitals.

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Cited by 40 publications
(43 citation statements)
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“…Figure 2(b) reveals that there are fourteen 3c-2e BBB bonds, three 14c-2e delocalized bonds, and nine delocalized 15c-2e bonds. The bonding model of these 3c-2e bonds are in accordance with the BBB bonds in all boron clusters B 14 and B 14 2+ , 70,79 which indicates that these 3c-2e bonds do not interact with the central Ni. Compared with the CMO results, it is clearly shown that the three 14c-2e bonds are delocalized π orbitals in the tangential direction, which almost have no contribution for the Ni-B 14 endohedral bonding.…”
Section: B Electronic Structuressupporting
confidence: 59%
See 1 more Smart Citation
“…Figure 2(b) reveals that there are fourteen 3c-2e BBB bonds, three 14c-2e delocalized bonds, and nine delocalized 15c-2e bonds. The bonding model of these 3c-2e bonds are in accordance with the BBB bonds in all boron clusters B 14 and B 14 2+ , 70,79 which indicates that these 3c-2e bonds do not interact with the central Ni. Compared with the CMO results, it is clearly shown that the three 14c-2e bonds are delocalized π orbitals in the tangential direction, which almost have no contribution for the Ni-B 14 endohedral bonding.…”
Section: B Electronic Structuressupporting
confidence: 59%
“…A recent study 79 reveals that the double-ring B 2n (n = 6-14) clusters have two directional delocalized orbitals. For even n, there are 4m + 2 electrons in both radial and tangential delocalized orbitals following the Huckle's rule, respectively, implying the double aromaticity; for odd n, there are 4m + 2 electrons in tangential or radial orbitals alternatively and the rest orbitals are occupied with 4m electrons, which indicate the complexes are in conflicting aromaticity.…”
Section: B Electronic Structuresmentioning
confidence: 99%
“…At small cluster size, all of the theoretical and experimental studies suggested that (quasi-)planar isomers are most stable. [8][9][10][11][12][13][14][15][16][17] A structural transformation from (quasi-)planar to double-ring tubular structures occurs in the size range of B 16 to B 24 , depending on the charge state of the clusters. 13,[18][19][20][21][22] For larger boron clusters, some tubular, cage, and core-shell structures are theoretically suggested.…”
Section: Introductionmentioning
confidence: 99%
“…On the other hand, hysteresis loop of a rock sample as a whole can have unusual shapes including a wasp-waisted shape that is constricted in the middle [15][16][17]. The wasp-waisted shape is thought to arise from the fact that the grains dispersed in the rock have a distribution of sizes, domain states, and coercive fields [15][16][17][18][19][20][21][22][23][24][25][26][27]. One would like to determine the distribution of magnetic grains from the hysteresis loop of the rock sample.…”
Section: Introductionmentioning
confidence: 99%