Structures of Al(n), its anions and cations up to n = 34: a theoretical investigation.

A systematic density functional study has been performed for neutral and singly charged clusters of aluminum with up to 34 atoms. A thorough search for global minimum structures has been carried out for Al(n) employing genetic algorithm and basin-hopping procedures. For Al(n) this confirms results of previous investigations up to n=22; new global minima have been located for n=23-31, 33. Structures for singly charged cations and anions have been obtained by reoptimization of the pool of 40 low-energy structures of the neutral clusters. The global minima of charged and neutral clusters are always low-spin states with the possible exception of a triplet state of Al(28), which is isoenergetic with a singlet. The cluster structures are mostly quite irregular and do not resemble fractions of the fcc bulk phase. High symmetries are found only for the global minimum of Al(23) and the triplet state of Al(28).

[1]  U. Landman,et al.  Aluminum cluster anions: Photoelectron spectroscopy and ab initio simulations , 2000 .

[2]  S. Grimme,et al.  Theoretical thermodynamics for large molecules: walking the thin line between accuracy and computational cost. , 2008, Accounts of chemical research.

[3]  Simon D. Elliott,et al.  Clusters of aluminium, a density functional study , 1999 .

[4]  S. Grimme Improved second-order Møller–Plesset perturbation theory by separate scaling of parallel- and antiparallel-spin pair correlation energies , 2003 .

[5]  R. Smalley,et al.  UPS of negative aluminum clusters , 1988 .

[6]  M. Kappes,et al.  Small tin cluster anions: transition from quasispherical to prolate structures. , 2009, The Journal of chemical physics.

[7]  Andrés Aguado,et al.  Structures and stabilities of Al(n) (+), Al(n), and Al(n) (-) (n=13-34) clusters. , 2009, The Journal of chemical physics.

[8]  Florian Weigend,et al.  Auxiliary basis sets for main row atoms and transition metals and their use to approximate Coulomb potentials , 1997 .

[9]  Marek Sierka,et al.  Fast evaluation of the Coulomb potential for electron densities using multipole accelerated resolution of identity approximation , 2003 .

[10]  Hans W. Horn,et al.  ELECTRONIC STRUCTURE CALCULATIONS ON WORKSTATION COMPUTERS: THE PROGRAM SYSTEM TURBOMOLE , 1989 .

[11]  J. Perdew,et al.  Density-functional approximation for the correlation energy of the inhomogeneous electron gas. , 1986, Physical review. B, Condensed matter.

[12]  J. Doye,et al.  Global Optimization by Basin-Hopping and the Lowest Energy Structures of Lennard-Jones Clusters Containing up to 110 Atoms , 1997, cond-mat/9803344.

[13]  J. Perdew,et al.  Erratum: Density-functional approximation for the correlation energy of the inhomogeneous electron gas , 1986, Physical review. B, Condensed matter.

[14]  Filipp Furche,et al.  Nuclear second analytical derivative calculations using auxiliary basis set expansions , 2004 .

[15]  C. Z. Wang,et al.  Structure of neutral aluminum clusters Al n (2⩽n⩽23) : Genetic algorithm tight-binding calculations , 2006 .

[16]  Hans W. Horn,et al.  Fully optimized contracted Gaussian basis sets for atoms Li to Kr , 1992 .

[17]  Mark S Gordon,et al.  Isomers of Au8. , 2007, The Journal of chemical physics.

[18]  B. Hartke Global geometry optimization of clusters using genetic algorithms , 1993 .

[19]  Burke,et al.  Generalized Gradient Approximation Made Simple. , 1996, Physical review letters.

[20]  Marco Häser,et al.  Auxiliary basis sets to approximate Coulomb potentials , 1995 .

[21]  M. Sierka,et al.  Density functional study of palladium clustersElectronic supplementary information (ESI) available: Summary of calculated Pdn clusters (n?=?4?309) and their geometries. See http://www.rsc.org/suppdata/cp/b3/b303347c/ , 2003 .

[22]  R. Ahlrichs,et al.  Geometry optimization in generalized natural internal coordinates , 1999 .

[23]  F. Weigend,et al.  Balanced basis sets of split valence, triple zeta valence and quadruple zeta valence quality for H to Rn: Design and assessment of accuracy. , 2005, Physical chemistry chemical physics : PCCP.

[24]  Electronic effects on melting: comparison of aluminum cluster anions and cations. , 2009, The Journal of chemical physics.

[25]  Ho,et al.  Molecular geometry optimization with a genetic algorithm. , 1995, Physical review letters.

[26]  Filipp Furche,et al.  An efficient implementation of second analytical derivatives for density functional methods , 2002 .

[27]  Joachim Sauer,et al.  Unexpected structures of aluminum oxide clusters in the gas phase. , 2007, Angewandte Chemie.

[28]  Mikael P. Johansson,et al.  2D-3D transition of gold cluster anions resolved , 2008 .

[29]  S. Goedecker Minima hopping: an efficient search method for the global minimum of the potential energy surface of complex molecular systems. , 2004, The Journal of chemical physics.

[30]  Filipp Furche,et al.  Efficient characterization of stationary points on potential energy surfaces , 2002 .

[31]  Correlation between the latent heats and cohesive energies of metal clusters. , 2008, The Journal of chemical physics.

[32]  G. Scuseria,et al.  Climbing the density functional ladder: nonempirical meta-generalized gradient approximation designed for molecules and solids. , 2003, Physical review letters.

[33]  A. Becke,et al.  Density-functional exchange-energy approximation with correct asymptotic behavior. , 1988, Physical review. A, General physics.

[34]  R. Ahlrichs,et al.  Efficient molecular numerical integration schemes , 1995 .

[35]  M. Kappes,et al.  Boron cluster cations: transition from planar to cylindrical structures. , 2007, Angewandte Chemie.