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Unraveling the Origin of the Relative Stabilities of Group 14 M2N22+ (M, N = C, Si, Ge, Sn, and Pb) Isomer Clusters
Díaz-Cervantes, Erik; Poater i Teixidor, Jordi; Robles, Juvencio; Swart, Marcel; Solà i Puig, Miquel
Ministerio de Ciencia e Innovación (Espanya); Generalitat de Catalunya. Agència de Gestió d'Ajuts Universitaris i de Recerca
We analyze the molecular structure, relative stability, and aromaticity of the lowest-lying isomers of group 14 M2N22+ (M and N = C, Si, and Ge) clusters. We use the gradient embedded genetic algorithm to make an exhaustive search for all possible isomers. Group 14 M2N22+ clusters are isoelectronic with the previously studied group 13 M2N22– (M and N = B, Al, and Ga) clusters that includes Al42–, the archetypal all-metal aromatic molecule. In the two groups of clusters, the cyclic isomers present both σ- and π-aromaticity. However, at variance with group 13 M2N22– clusters, the linear isomer of group 14 M2N22+ is the most stable for two of the clusters (C2Si22+ and C2Ge22+) , and it is isoenergetic with the cyclic D4h isomer in the case of C42+. Energy decomposition analyses of the lowest-lying isomers and the calculated magnetic- and electronic-based aromaticity criteria of the cyclic isomers help to understand the nature of the bonding and the origin of the stability of the global minima. Finally, for completeness, we have also analyzed the structure and stability of the heavier Sn and Pb group 14 M2N22+ analogues
We are grateful to the Research Executive Agency of the European Research Council for financial support through the PIRSES-GA-2009-247671 project of the FP7-PEOPLE-2009-IRSES program. We also thank the following organizations for financial support: the Ministerio de Ciencia e Innovacion (MICINN, projects number CTQ2011-23156/BQU and CTQ2011-25086), the DIUE of the Generalitat de Catalunya (projects number 2009SGR637, 2009SGR528, and XRQTC), and the FEDER fund (European Fund for Regional Development) for the grant UNGI08-4E-003. Excellent service by the Centre de Supercomputacio de Catalunya (CESCA) is gratefully acknowledged. Support for the research of M.S. was received through the ICREA Academia 2009 prize for excellence in research funded by the DIUE of the Generalitat de Catalunya. J.R is grateful for support from CONACYT grant number CB-2011-168474. E.D. acknowledges support from a partial scholarship to fund his travel expenses from CONACYT
Isomeria
Anàlisi de conglomerats
Cluster analysis
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