Theoretical study of Cu(38-n)Au(n) clusters using a combined empirical potential-density functional approach.

Thirty-eight atom Cu-Au clusters have been studied because this is a magic size for a complete truncated octahedral cluster. The clusters are investigated using two approaches, at different levels of theory, which are complementary. The first is an empirical potential (EP) approach which is used together with a genetic algorithm (GA) to tackle the problems of global optimization-i.e., searching for lowest-lying energy structures. The second is an ab initio approach based on density functional theory (DFT) which is used to reoptimize the initial EP structures (both global minima and other low energy isomers). Structural distributions and energy landscapes, including calculations of electronic energy gaps for all compositions of Cu(38-n)Au(n), are investigated. The energy competition between different structural motifs and different configurations are studied at the DFT level. The analysis of mixing and segregation effects results in confirmation of the preference for Cu(core)-Au(shell) configurations at the DFT level. Charge transfer is calculated for different structural motifs of Cu(19)Au(19) to study the role of this phenomenon in driving cluster configuration.

[1]  F. Baletto,et al.  Amorphization mechanism of icosahedral metal nanoclusters. , 2004, Physical review letters.

[2]  R. Johnston,et al.  Nanoalloys: from theory to applications of alloy clusters and nanoparticles. , 2008, Chemical reviews.

[3]  E. Aprá,et al.  Density-functional study of Pt 13 and Pt 55 cuboctahedral clusters , 2000 .

[4]  Alessandro Fortunelli,et al.  Structural motifs, mixing, and segregation effects in 38-atom binary clusters. , 2008, The Journal of chemical physics.

[5]  F. Weigend Accurate Coulomb-fitting basis sets for H to Rn. , 2006, Physical chemistry chemical physics : PCCP.

[6]  D. Sánchez-Portal,et al.  Metallic bonding and cluster structure , 2000 .

[7]  E. Aprá,et al.  Density-Functional Calculations on Platinum Nanoclusters: Pt13, Pt38, and Pt55 , 2003 .

[8]  Roy L. Johnston,et al.  A theoretical study of atom ordering in copper–gold nanoalloy clusters , 2002 .

[9]  F Baletto,et al.  Magic polyicosahedral core-shell clusters. , 2004, Physical review letters.

[10]  Hélio A. Duarte,et al.  Global optimization analysis of CunAum (n + m = 38) clusters: Complementary ab initio calculations , 2008 .

[11]  G. Tendeloo,et al.  Transmission electron microscopy and Monte Carlo simulations of ordering in Au-Cu clusters produced in a laser vaporization source , 2001 .

[12]  Alonso,et al.  Embedded-atom method applied to bimetallic clusters: The Cu-Ni and Cu-Pd systems. , 1994, Physical review. B, Condensed matter.

[13]  R. Johnston,et al.  Structures and Stabilities of Platinum-Gold Nanoclusters , 2009 .

[14]  R. W. Warren,et al.  Fractional occupation numbers and density functional energy gradients within the linear combination of Gaussian-type orbitals approach , 1996 .

[15]  N. Handy,et al.  Assessment of exchange correlation functionals , 2000 .

[16]  Xia Wu,et al.  Optimization of bimetallic Cu–Au and Ag–Au clusters by using a modified adaptive immune optimization algorithm , 2009, J. Comput. Chem..

[17]  A. Schäfer,et al.  Fully optimized contracted Gaussian basis sets of triple zeta valence quality for atoms Li to Kr , 1994 .

[18]  Raju P. Gupta Lattice relaxation at a metal surface , 1981 .

[19]  A. Sra,et al.  Synthesis of atomically ordered AuCu and AuCu(3) nanocrystals from bimetallic nanoparticle precursors. , 2004, Journal of the American Chemical Society.

[20]  Riccardo Ferrando,et al.  Growth simulations of silver shells on copper and palladium nanoclusters , 2002 .

[21]  P J Hsu,et al.  Structures of bimetallic clusters. , 2006, The Journal of chemical physics.

[22]  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.

[23]  R. Conte,et al.  Derivation of an empirical potential for gold with angular corrections , 2008 .

[24]  Jackson,et al.  Atoms, molecules, solids, and surfaces: Applications of the generalized gradient approximation for exchange and correlation. , 1992, Physical review. B, Condensed matter.

[25]  Holger Patzelt,et al.  RI-MP2: optimized auxiliary basis sets and demonstration of efficiency , 1998 .

[26]  Harold Basch,et al.  Relativistic compact effective potentials and efficient, shared-exponent basis sets for the third-, fourth-, and fifth-row atoms , 1992 .

[27]  STRUCTURAL PROPERTIES OF BIMETALLIC CLUSTERS FROM DENSITY FUNCTIONAL CALCULATIONS , 2005 .

[28]  H. Stoll,et al.  Energy-adjustedab initio pseudopotentials for the second and third row transition elements , 1990 .

[29]  Brian M. Leonard,et al.  Metallurgy in a beaker: nanoparticle toolkit for the rapid low-temperature solution synthesis of functional multimetallic solid-state materials. , 2005, Journal of the American Chemical Society.

[30]  R. Johnston,et al.  Charge transfer driven surface segregation of gold atoms in 13-atom Au–Ag nanoalloys and its relevance to their structural, optical and electronic properties , 2008 .

[31]  Roy L. Johnston,et al.  Determination of main structural compositions of nanoalloy clusters of CuxAuy (x + y ≤ 30) using a genetic algorithm approach , 2003 .

[32]  Julius Jellinek,et al.  NinAlm alloy clusters: analysis of structural forms and their energy ordering , 1996 .

[33]  Roy L. Johnston,et al.  Theoretical study of Cu–Au nanoalloy clusters using a genetic algorithm , 2002 .

[34]  D. Sánchez-Portal,et al.  Lowest Energy Structures of Gold Nanoclusters , 1998 .

[35]  Rosato,et al.  Tight-binding potentials for transition metals and alloys. , 1993, Physical review. B, Condensed matter.

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

[37]  M. Alemany,et al.  SELF-CONSISTENT DENSITY-FUNCTIONAL CALCULATIONS OF THE GEOMETRIES, ELECTRONIC STRUCTURES, AND MAGNETIC MOMENTS OF NI-AL CLUSTERS , 1999 .

[38]  A. Fortunelli,et al.  Quantum effects on the structure of pure and binary metallic nanoclusters , 2005 .

[39]  Giulia Rossi,et al.  Electronic and structural shell closure in AgCu and AuCu nanoclusters. , 2006, The journal of physical chemistry. B.

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

[41]  Chan,et al.  Density-functional energies and forces with Gaussian-broadened fractional occupations. , 1994, Physical review. B, Condensed matter.

[42]  P. A. Marcos,et al.  Structural and dynamical properties of Cu–Au bimetallic clusters , 1996 .

[43]  Giulia Rossi,et al.  Global optimization of bimetallic cluster structures. I. Size-mismatched Ag-Cu, Ag-Ni, and Au-Cu systems. , 2005, The Journal of chemical physics.

[44]  Edoardo Aprà,et al.  Density-functional global optimization of gold nanoclusters , 2006 .

[45]  R. Johnston Evolving better nanoparticles: Genetic algorithms for optimising cluster geometries , 2003 .