Abstract
From the results of computer simulations, especially of 13-atom metal clusters by molecular dynamics, we derive a theory of the solid–liquid phase transition in metal clusters that connects to the jellium model. We analyze the nature of the ion’s behavior in liquid clusters. As a result, we find a dynamical coexistence among the cluster’s configurational states create the liquid aggregate state of this cluster. It follows from the entropy analysis that motions of the ions in liquid metal clusters explore a selective set of ion configurations, rather than following independent motions in a self-consistent cluster field.
Similar content being viewed by others
References
Piotrowski MJ, Piquini P, Da Silva JLF (2010) Phys Rev B 81(1–14):155466
Larsen AH, Kleis J, Thygesen KS, Nrskov JK, Jacobsen KW (2011) Phys Rev B 84(1–13):245429
Chou JP, Hsing CR, Wei CM, Cheng C, Chang CM (2013) J Phys Condens Matter 25(1–8):125305
Jellinek J, Beck TL, Berry RS (1986) J Chem Phys 84:2783–2794
Davis HL, Jellinek J, Berry RS (1987) J Chem Phys 86:6456–6469
Arslan H, Güven MH (2005) N J Phys 7:60
Berry RS, Jellinek J, Natanson G (1984) Phys Rev A 30:919–931
Berry RS, Beck TL, Davis HL, Jellinek J (1988) Adv Chem Phys 90(Part 2):75–138
Berry RS (1993) Chem Rev 93:2379–2394
Berry RS (1999) In: Jellinek J (ed) Theory of atomic and molecular clusters. Springer, Berlin, pp 1–26
Berry RS, Smirnov BM (2013) Phys Rep 527:205–250
Doye JPK, Wales DJ (1995) J Chem Phys 102:9659–9672
Berry RS, Smirnov BM (2004) JETP 98:366–373
Berry RS, Smirnov BM (2005) Phys Uspekhi 48:345–388
Sebetci A, Guvenc ZB (2004) Model Simul Mater Sci Eng 12:1131–1138
Arslan H, Güven MH (2006) Acta Phys Slovac 56:511–520
Yildirim EK, Atis M, Guvenc ZB (2007) Phys Scr 75:111–118
Wales DJ (2003) Energy landscapes. Cambridge University Press, Cambridge
Hoare MR, Pal P (1971) Adv Phys 20:161–196
Hoare MR, Pal P (1975) Adv Phys 24:645–678
Hoare MR (1979) Adv Chem Phys 40:49–135
Smirnov BM, Berry RS (2008) Phase transitions of simple systems. Springer, Berlin
Mackay AL (1962) Acta Crystallogr 15:916–918
Sutton AP, Finnis MW, Pettifor DG, Ohta Y (1988) J Phys C 21:35–66
Zhou Y, Karplus M, Ball KD, Berry RS (2002) J Chem Phys 116:2323–2329
Berry RS, Smirnov BM (2009) Low Temp Phys 35:256–264
Berry RS, Smirnov BM (2001) J Chem Phys 114:6816–6823
Berry RS, Smirnov BM (2005) J Noncryst Sol 351:1543–1550
Cheng HP, Berry RS (1992) Phys Rev A 45:7969–7980
Sutton AP, Chen J (1990) Philos Mag Lett 61:139–146
Häberlen OD, Chung S-C, Stener M, Rösch N (1997) J Chem Phys 106:5189–5201
Doye JPK, Wales DJ (1997) J Chem Soc Faraday Trans 93:4233–4243
Doye JPK, Wales DJ (1998) N J Chem 22:733–744
Wilson NT, Johnston RL (2000) Eur Phys J D 12:161–169
Darby S, Mortimer-Jones TV, Johnston RL, Roberts C (2002) J Chem Phys 116:1536–1550
Wang J, Wang G, Zhao J (2002) Phys Rev B 66(1–6):035418
Oviedo J, Palmer RE (2002) J Chem Phys 117:9548–9551
Johansson MP, Lechtken A, Schooss D, Kappes MM, Furche F (2008) Phys Rev A 77(1–7):053202
Garzon IL, Jellinek J (1993) Z Phys D 26:316–318
Ekardt W (1984) Phys Rev B 29:1558–1564
Ekardt W (1985) Phys Rev B 31:6360–6370
Chou MY, Cohen ML (1986) Phys Lett A 113:420–424
Manninen M (1986) Phys Rev B 34:6886–6894
Cohen ML, Chou MY, Knight WD, de Heer WA (1987) J Phys Chem 91:3141–3149
Yannouleas C, Broglia RA, Brack M, Bortignon PF (1989) Phys Rev Lett 63:255–258
Brack M (1989) Phys Rev B 39:3533–3542
Nishioka H, Hansen K, Mottelson BR (1990) Phys Rev B 42:9377–9386
Genzken O, Brack M (1991) Phys Rev Lett 67:3286–3289
de Heer WA (1993) Rev Mod Phys 65:611–676
Thomson JJ (1904) Philos Mag 7:237
Wigner EP, Seitz F (1934) Phys Rev 46:509–524
Wigner EP (1934) Phys Rev 46:1002–1011
Kittel C (1970) Thermal physics. Wiley, New York
Kittel C, Kroemer H (1980) Thermal physics. Wiley, New York
Smirnov BM (1999) Clusters and small particles in gases and plasmas. Springer, New York
Landau LD, Lifshitz EM (1980) Statistical physics, vol 1. Pergamon Press, Oxford
Smirnov BM (2006) Principles of statistical physics. Wiley VCH, Berlin
Berry RS, Smirnov BM (2009) J Chem Phys 130(1–8):064302
Berry RS, Smirnov BM (2009) Phys Uspekhi 52:137–164
Author information
Authors and Affiliations
Corresponding author
Additional information
Dedicated to Professor Greg Ezra and published as part of the special collection of articles celebrating his 60th birthday.
Rights and permissions
About this article
Cite this article
Berry, R.S., Smirnov, B.M. Ions in liquid metal clusters. Theor Chem Acc 133, 1543 (2014). https://doi.org/10.1007/s00214-014-1543-0
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00214-014-1543-0