Abstract
Metal nanoclusters and nanoalloys (i.e., pure or mixed metallic aggregates of dimensions ranging between 1 and 100 nm) are the subject of great interest in basic science as well as in current technology where they find many applications for their unique properties: from chemical sensing (artificial noses) to heterogeneous catalysis, from magnetic recording to opto-electronic devices. First-principles theoretical approaches (i.e., approaches based on an explicit description of the many-electron wave function) have proved able to describe with good accuracy the complexities of the chemical bond in such systems, but their application is limited by the involved computational effort, rapidly increasing as a function of the size of the system. Among first-principles approaches, density-functional theory (DFT) is most often employed, as it currently represents the best compromise between accuracy and computational effort. Despite the inherent demands of DFT calculations, contemporary advances both in methods and hardware are continuously extending the range of systems to which these approaches can be successfully applied using available computational resources, and nowadays electronic structure simulations are routinely conducted using one of the several black-box packages available. These efforts have brought about a wealth of basic knowledge on metal nanoclusters and nanoalloys, furnishing a deeper—sometimes novel—interpretation of experiments and significantly increasing our understanding of these systems. Many specific features of the metallic bond at the nanoscale have been highlighted, especially in the range of sub-nanometer to few-nanometer particles. Exotic morphologies and unusual structural arrangements have been rationalized and their link to peculiar properties of metal particles have been proposed. In this chapter, after a brief introduction to the basics of DFT (and other wave function approaches for comparison), examples of first-principles predictive computational science in the field of the structure of metal nanoclusters and nanoalloys will be reviewed with the aim of providing some understanding of basic concepts and of present capabilities and limitations. The form of the presentation will be rigorous—yet hopefully accessible to nonexperts (students and experimentalists alike) via the extensive use of pictorial representations. Remarks on future perspectives in this field will conclude the chapter.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Abrikosov AI (2008) Rep Progr Phys 71:046501
Ahlrichs R, Elliott SD (1999) Phys Chem Chem Phys 1:13
Akola J, Walter M, Whetten RL, Hakkinen H, Grönbeck H (2008) J Am Chem Soc 130:3756
Altieri S, Finazzi M, Hsieh HH, Havekort MW, Lin HJ, Chen CT, Frabboni S, Gazzardi GC, Rot A, Valeri S (2009) Phys Rev B 79:174431
Anisimov VI, Zaanen J, Andersen OK (1991) Phys Rev B 44:943
Aprà E, Ferrando R, Fortunelli A (2006) Phys Rev B 73:205414
Baletto F, Ferrando R, Fortunelli A, Montalenti F, Mottet C (2002) J Chem Phys 116:3856
Barcaro G, Fortunelli A (2005) J Chem Theory Comput 1:972
Barcaro G, Fortunelli A, Nita F, Ferrando R (2005) Phys Rev Lett 95:246103
Barcaro G, Fortunelli A, Rossi G, Nita F, Ferrando R (2006) J Phys Chem B 110:23197
Barcaro G, Fortunelli A (2006) J Phys Chem B 110:21021
Barcaro G, Aprà E, Fortunelli A (2007) Chem Eur J 13:6408
Barcaro G, Fortunelli A (2007) J Phys Chem C 111:11384
Barcaro G, Fortunelli A (2007) Phys Rev B 76:165412
Barcaro G, Fortunelli A, Rossi G, Nita F, Ferrando R (2007) Phys Rev Lett 98:156101
Barcaro G, Causà M, Fortunelli A (2007) Theor Chem Acc 118:807
Barcaro G, Fortunelli A (2007) New J Phys 9:22
Barcaro G, Fortunelli A (2009) Theor Chem Acc 123:317
Barcaro G, Thomas IO, Fortunelli A (2010) J Chem Phys 132:124703
Barcaro G, Fortunelli A, Polak M, Rubinovich L (2011) Nano Lett 11:1766
Barcaro G, Sementa L, Negreiros F, Ferrando R, Fortunelli A (2011) Nano Lett 11:5542
Barone V, Bencini A, Cossi M, Di Matteo A, Mattesini M, Totti F (1998) J Am Chem Soc 120:7069
Barth C, Henry CR (2003) Phys Rev Lett 91:196102
Becke AD (1993) J Chem Phys 98:5648
Biswas A, Siegel D, Seidman DN (2010) Phys Rev Lett 105:076102
Bonnemann H, Richards RM (2001) Eur J Inorg Chem 2455
Booth GH, Alavi A (2010) J Chem Phys 132:174104
Paz-Borbon LO, Mortimer-Jones TV, Johnston RL, Posada-Amarillas A, Barcaro G, Fortunelli A (2007) Phys Chem Chem Phys 9:5202
Paz-Borbon LO, Johnston RL, Barcaro G, Fortunelli A (2007) J Phys Chem C 111:2936
Paz-Borbon LO, Johnston RL, Barcaro G, Fortunelli A (2009) Eur Phys J D 52:131
Paz-Borbon LO, Barcaro G, Fortunelli A, Levchenko SV (2012) Phys Rev B 85:155409
Born M, Oppenheimer JR (1927) Ann Phys 84:457
Broyer M, Cottancin E, Lermé J, Pellarin M, Del Fatti N, Valle F, Burgin J, Guillon C, Langot P (2008) Faraday Discuss 138:137
Brune H, Giovannini M, Bromann K, Kern K (1998) Nature 394:451
Car R, Parrinello M (1985) Phys Rev Lett 55:2471
Causà M, Colle R, Dovesi R, Fortunelli A, Pisani C (1988) Phys Scripta 38:194
Chan GH, Zhao J, Hicks EM, Schatz GC, Van Duyne RP (2007) Nano Lett 7:1947
Chen MS, Goodman DW (2007) Top Catal 44:41
Chiesa M, Paganini MC, Giamello E, Murphy DM, Di Valentin C, Pacchioni G (2006) Acc Chem Res 39:861
Claridge SA, Castleman AW Jr., Khanna SN, Murray CB, Sen A, Weiss PS (2009) ACS Nano 3
Cococcioni M, de Gironcoli S (2005) Phys Rev B 71:035105
Cohen-Tannoudji C, Diu B, Laloe F (2006) Quantum mechanics. Wiley-Interscience, Paris
Daniel C, Full J, Gonzalez L, Lupulescu C, Manz J, Merli A, Vajda S, Woste L (2010) Science 299:536
deHeer WA (1993) Rev Mod Phys 65:611
del Campo JM, Köster AM (2008) J Chem Phys 129:024107
Dirac PAM (1928) Proc R Soc 117:610
Dirac PAM (1930) Proc Cambridge Phil Soc 26:376
Dovesi R, Saunders VR, Roetti R, Orlando R, Zicovich-Wilson M, Pascale F, Civalleri B, Doll K, Harrison NM, Bush IJ, D’arco P, Llunel M CRYSTAL06. www.crystal.unito.it
Dunlap BI, Rosch N, Trickey SB (2010) Mol Phys 108:3167
Durante N, Fortunelli A, Broyer M, Stener M (2011) J Phys Chem C 115:6277
Durante N, Barcaro G, Fortunelli A, Broyer M, Stener M in preparation
Ertl G, Freund HJ (1999) Phys Today 52:32
Ferrando R, Fortunelli A, Rossi G (2005) Phys Rev B 72:085449
Ferrando R, Fortunelli A, Johnston RL (2008) Phys Chem Chem Phys 10:640
Ferrando R, Jellinek J, Johnston RL (2008) Chem Rev 108:845
Ferrando R, Rossi G, Nita F, Barcaro G, Fortunelli A (2008) ACSNano 2:1849
Ferrando R, Fortunelli A (2009) J Phys Condens Matter 21:264001
Fortunelli A, Salvetti O (1991) J Comp Chem 12:36
Fortunelli A, Salvetti O (1991) Chem Phys Lett 186:372
Fortunelli A, Salvetti O, Villani G (1991) Surf Sci 244:355
Fortunelli A, Selmi M (1994) Chem Phys Lett 223:390
Fortunelli A, Velasco AM (1999) J Mol Struct (THEOCHEM) 487:251
Apra E, Fortunelli A (2000) J Mol Struct 501–502:251
Frank FC, Kasper JS (1959) Acta Crystallogr 12:483
Freund HJ (2002) Surf Sci 500:271
Freund LB, Suresh S (2003) Thin film materials: stress, defect formation and surface evolution. Cambridge University Press, Cambridge
Freund HJ, Pacchioni G (2008) Chem Soc Rev 37:2224
Gavioli L, Cavaliere E, Agnoli S, Barcaro G, Fortunelli A, Granozzi G (2011) Progr Surf Sci 86:59
Giannozzi P, Baroni S, Bonini N, Calandra M, Car R, Cavazzoni C, Ceresoli D, Chiarotti G, Cococcioni M, Dabo I, Dal Corso A, De Gironcoli S, Fabris S, Fratesi G, Gebauer R, Gerstmann U, Gougoussis C, Kokalj A, Lazzeri M, Martin-Samos L, Marzari N, Mauri F, Mazzarello R, Paolini S, Pasquarello A, Paulatto L, Sbraccia C, Scandolo S, Sclauzero G, Seitsonen AP, Smogunov A, Umari P, Wentzcovitch RM (2009) J Phys Condens Matter 21:395502
Goedecker S (1999) Rev Mod Phys 71:1085
Goniakowski J, Jelea A, Mottet C, Barcaro G, Fortunelli A, Kuntová Z, Nita F, Levi AC, Rossi G, Ferrando R (2009) J Chem Phys 130:174703
Grimme S (2006) J Comput Chem 27:1787
Haas G, Menck A, Brune H, Barth JV, Venables JA, Kern K (2000) Phys Rev B 61:11105
Haberlen OD, Chung SC, Stener M, Rosch N (1997) J Chem Phys 106:5189
Hakkinen H (2008) Chem Soc Rev 37:1847
Haunschild R, Scuseria GE (2010) J Chem Phys 132:224106
Heiz U, Landman U (eds) (2007) Nanocatalysis series: nanoscience and technology. Springer, New York
Henry CR (2005) Prog Surf Sci 80:92
Herzing AA, Kiely CJ, Carley AF, Landon P, Hutchings GJ (2008) Science 321:1331
Hohenberg P, Kohn W (1964) Phys Rev 136:864B
Honeycutt JD, Andersen HC (1987) J Phys Chem 91:4950
Huang C, Pavone M, Carter EA (2011) J Chem Phys 134:154110
Hubbard PS (1961) Rev Mod Phys 33:249
Hutchings GJ, Haruta M (2005) Appl Catal A 291:1
Jellinek J, Krissinel EB (1996) Chem Phys Lett 258:283
Johnston RL (2003) Dalton Trans 22:4193
Kittel C (1996) Introduction to solid state physics, 7th edn. Wiley, New York
Kohn W, Sham LJ (1965) Phys Rev 140:1133A
Kokalj A (2003) Comp Mat Sci 28:155
Lee C, Barabasi AL (1998) Appl Phys Lett 73:2651
Li Z, Scheraga HA (1987) Proc Natl Acad Sci USA 84:6611
Libuda J, Freund HJ (2005) Surf Sci Rep 57:157
Lin X, Nilius N, Freund HJ, Walter M, Frondelius P, Honkala K, Hakkinen H (2009) Phys Rev Lett 102:206801
Lopez N, Illas F, Rosch N, Pacchioni G (1999) J Chem Phys 110:4873
Mahan GD (2008) Quantum mechanics in a nutshell. Princeton University Press, Princeton
March NH, Stoddard JC (1968) Rep Prog Phys 31:53
Marks LD (1984) Philos Mag A 49:813
Matthey D, Wang JG, Wendt S, Matthiesen J, Schaub R, Laegsgaard E, Hammer B, Besenbacher F (2007) Science 315:1692
Matveev AV, Neyman K, Yudanov I, Rosch N (1999) Surf Sci 426:123
McWeeny R, Sutcliffe BT (1969) Methods of molecular quantum mechanics. Academic Press, London
McWeeny R (1980) Coulson’s valence. Oxford University Press, Oxford
Mills G, Jonsson H (1994) Phys Rev Lett 72:1124
Molina LM, Hammer B (2004) Phys Rev B 69:155424
Molina LM, Hammer B (2005) Appl Catal A 291:21
Molina LM, Lee S, Fortunelli A, Lee B, Seifert S, Winans RE, Elam JW, Pellin MJ, Barke I, von Oeynhausen V, Lei Y, Meyer RJ, Alonso JA, Rodriguez AF, Kleibert A, Giorgio S, Henry CR, Meiwes-Broer KH, Vajda S (2011) Cat Today 160:116
Moseler M, Hakkinen H, Landman U (2002) Phys Rev Lett 89:176103
Musolino V, Selloni A, Car R (1999) Phys Rev Lett 83:3242
Neyman KM, Inntam C, Matveev AV, Nasluzov VA, Rosch N (2005) J Am Chem Soc 127:11652
Neyman KM, Lim KH, Chen ZX, Moskaleva LV, Bayer A, Reindi A, Borgmann D, Denecke R, Steinruck HP, Rosch N (2007) Phys Chem Chem Phys 9:3470
Olivier S, Conte R, Fortunelli A (2008) Phys Rev B 77:054104
Olsen RA, Kroes GJ, Henkelman G, Arnaldsson A, Jonsson H (2004) J Chem Phys 121:9776
Onida G, Reining L, Rubio A (2002) Rev Mod Phys 74:601
Pacchioni G, Giordano L, Baistrocchi M (2005) Phys Rev Lett 94:226104
Parker SC, Campbell CT (2007) Top Catal 44:3
Pauling L (1960) The nature of the chemical bond. Cornell University Press, New York
Pauwels B, Van Tendeloo G, Bouwen W, Theil Kuhn L, Lievens P, Lei H, Hou M (2000) Phys Rev B 62:10383
Perdew JP, Zunger A (1981) Phys Rev B 23:5048
Perdew JP (1985) Phys Rev Lett 55:1665
Perdew JP, Yue W (1986) Phys Rev B 33:8800
Perdew JP, Burke K, Ernzerhof M (1996) Phys Rev Lett 77:3865
Perdew JP, Ruzsinszky A, Tao J, Staroverov V, Scuseria G, Csonka G (2005) J Chem Phys 123:062201
Pettifor DG, Finnis MW, Nguyen-Manh D, Murdick DA, Zhou XW, Wadley HNG (2004) Mat Sci Eng A 365:2
Pileni MP, (2003) C R Chimie 6:965
Polak M and Rubinovich L (2000) Surf Sci Rep 38:127
Pyykkö P (2004) Angew Chem Int Ed 43:4412
Renaud G, Lazzari R, Revenant C, Barbier A, Noblet M, Ulrich O, Leroy F, Jupille J, Borensztein Y, Henry CR, Deville JP, Scheurer F, Mane-Mane J, Fruchart O (2003) Science 300:1416
Reuter K, Scheffler M (2006) Phys Rev B 73:045433
Ricci D, Bongiorno A, Pacchioni G, Landman U (2006) Phys Rev Lett 97:036106
Rossi G, Rapallo A, Mottet C, Fortunelli A, Baletto F, Ferrando R (2004) Phys Rev Lett 93:105503
Sahimi M, Hamzehpour H (2010) Comp Sci Eng 12:74
Schimka L, Harl J, Kresse G (2011) J Chem Phys 134:024116
Schrödinger E (1926) Phys Rev 28:1049
Scuseria GE (1999) J Phys Chem A 103:4782
Sementa L, Barcaro G, Negreiros F, Thomas IO, Netzer F, Ferrari AM, Fortunelli A (2012) J Chem Theory Comput 8:629
Shoemaker JR, Burggraf LW (1999) J Phys Chem A 103:3245
Slater JC (1972) Statistical exchange-correlation in the self-consistent field. In: Lowdin PO (ed) Advances in quantum chemistry. Academic Press, New York, p. 1
Stillinger FH, Weber TA (1984) Science 225:983
Stillinger FH (1995) Science 267:1935
Svensson M, Humbel S, Froese RDJ, Matsubara T, Sieber S, Morokuma K (1996) J Phys Chem 100:19357
Szabo A, Ostlund NS (1996) Modern quantum chemistry. Dover Publications, United States
Tao F, Grass ME, Zhang Y, Butcher DR, Renzas JR, Liu Z, Chung JY, Mun BS, Salmeron M, Somorjai GA (2008) Science 322:932
Tkatchenko A, Scheffler M (2009) Phys Rev Lett 102:073005
Tran F, Blaha P (2009) Phys Rev Lett 102:226401
Velev OD, Gupta S (2009) Adv Mater 21:1897
Voter AF, Montalenti F, Germann TC (2002) Ann Rev Mater Res 32:321
Wales DJ, Doye JPK (1997) J Phys Chem A 101:5111
Wales DJ, Scheraga HA (1999) Science 285:1368
Wales DJ (2004) Energy landscapes: applications to clusters, biomolecules and glasses. Cambridge University Press, Cambridge
Wang L, Shi X, Kariuki NN, Schadt M, Wang GR, Rendeng Q, Choi J, Luo J, Lu S, Zhong CJ (2007) J Am Chem Soc 129:2161
Weigend F, Kattannek M, Ahlrichs R (2009) J Chem Phys 130:164106
West P, Johnston RL, Barcaro G, Fortunelli A (2010) J Phys Chem C 114:19678
Worz AS, Judai K, Abbet S, Heiz U (2003) J Am Chem Soc 125:7964
Xu LJ, Henkelman G, Campbell CT, Jonsson H (2005) Phys Rev Lett 95:146103
Yacaman MJ, Ascencio JA, Tehuacanero S, Marin M (2002) Top Catal 18:167
Yulikov M, Sterrer M, Heyde M, Rust HP, Risse T, Freund HJ, Pacchioni G, Scagnelli A (2006) Phys Rev Lett 96:146804
Acknowledgments
Financial support from the Italian CNR for the project SSA-TMN within the framework of the ESF EUROCORES SONS, and from European Community Sixth and Seventh Framework Programme for the projects GSOMEN (No. NMP4-CT-2004–001594) and SEPON (No. ERC-2008-AdG-227457) are gratefully acknowledged. Many of the DFT calculations here described were performed at the CINECA Supercomputing Center within an agreement with Italian CNR, and also at the CASPUR Supercomputing Center. The authors are indebted to Riccardo Ferrando, Giulia Rossi, Edoardo Aprà, Roy. L. Johnston, Lauro Oliver Paz-Borbon, Paul S. West, Francesca Baletto, Christine Mottet, Mauro Causà, Gaetano Granozzi, Claude Henry, Luca Gavioli, Stefan Vajda, Falko Netzer, Fabio R. Negreiros, Luca Sementa, and Iorwerth O. Thomas for very stimulating collaborations and/or many interesting discussions.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2013 Springer Science+Business Media New York
About this chapter
Cite this chapter
Fortunelli, A., Barcaro, G. (2013). Density-Functional Theory of Free and Supported Metal Nanoclusters and Nanoalloys. In: Metal Clusters and Nanoalloys. Nanostructure Science and Technology. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-3643-0_2
Download citation
DOI: https://doi.org/10.1007/978-1-4614-3643-0_2
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-3267-8
Online ISBN: 978-1-4614-3643-0
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)