The preparation, physicochemical properties, and the cohesive energy of liquid sodium containing titanium nanoparticles

  • Jun-ichi Saito
  • Toshio Itami
  • Kuniaki Ara
Research Paper


Liquid sodium containing titanium nanoparticles (LSnanop) of 10-nm diameter was prepared by dispersing titanium nanoparticles (2 at.% Ti) into liquid sodium with the addition of stirring and ultrasonic sound wave. The titanium nanoparticles themselves were prepared by the vapor deposition method. This new liquid metal, LSnanop, shows a remarkable stability due to the Brownian motion of nanoparticles in liquid sodium medium. In addition, the difference of measured heat of reaction to water between this LSnanop and liquid sodium indicates the existence of cohesive energy between the liquid sodium medium and dispersed titanium nanoparticles. The origin of the cohesive energy, which serves to stabilize this new liquid metal, was explained by the model of screened nanoparticles in liquid sodium. In this model, negatively charged nanoparticles with transferred electrons from liquid sodium are surrounded by the positively charged screening shell, which may inhibit the gathering of nanoparticles by the “Coulombic repulsion coating.” The atomic volume of LSnanop shows the shrinkage from the linear law, which also suggests the existence of cohesive energy. The viscosity of LSnanop is almost the same as that of liquid sodium. This behavior was explained by the Einstein equation. The surface tension of LSnanop is 17 % larger than that of liquid sodium. The cohesive energy and the negative adsorption may be responsible to this increase. Titanium nanoparticles in liquid sodium seem to be free from the Coulomb fission. This new liquid metal containing nanoparticles suggests the possibility to prepare various stable suspensions with new properties.


Nanofluid Liquid metals Sodium Nanoparticle Coulomb fission 



The present study is part of the program, “Development of Chemical Reaction Suppression Technology of Liquid Sodium Metal Based on Nanotechnology” entrusted to Japan Atomic Energy Agency by the Ministry of Education, Culture, Sports, Science and Technology of Japan (MEXT).


  1. Abu-Aljarayesh I, Abu-Libdeh A (1991) Initial susceptibility of iron in mercury magnetic fluids. J Magn Magn Mater 96:89–123CrossRefGoogle Scholar
  2. Abu-Aljarayesh I, Bayrakder A, Yusuf NA, Abu-Safla H (1993) AC magnetic susceptibility of cobalt in mercury magnetic fluids. J Appl Phys 73:6970–6972CrossRefGoogle Scholar
  3. Allen BC (1985) Surface tension. In: Ohse RW (ed) Handbook of thermodynamic and transport properties of alkali metals. International Union of Pure and Applied Chemistry, Blackwell Science Publishers, Oxford, p 691Google Scholar
  4. Alonso JA, March NH (1889) Electrons in metals and alloys. Academic Press, San Diego, p 108Google Scholar
  5. Andriotis AN (1993) Bimetallic interface: a periodic planar jellium approach. Phys Rev B47:6772–6775Google Scholar
  6. Ara K (2007) Development of chemical reaction suppression technology of liquid sodium metal based on nanotechnology, annual report of Japan Atomic Energy Agency by the Ministry of Education, Culture, Sports, Science and Technology of Japan (MEXT), pp 3.1.2–36Google Scholar
  7. Ara K, Sugiyama K, Kitagawa H, Nagai M, Yoshioka N (2010a) Study on chemical reactivity control of sodium by suspended nanoparticles I. J Nucl Sci Technol 47:1165–1170CrossRefGoogle Scholar
  8. Ara K, Sugiyama K, Kitagawa H, Nagai M, Yoshioka N (2010b) Study on chemical reactivity control of sodium by suspended nanoparticles II. J Nucl Sci Technol 47:1171–1181CrossRefGoogle Scholar
  9. Bird BB, Stewart WE, Lightfoot ED (1969) Transport phenomena. Wiley International Edition, New York, p 513Google Scholar
  10. Bréchignac C, Cahuzac Ph, deFrutos M (1990) Asymmetric fission of Nan++ around the critical size of stability. Phys Rev Lett 64:2893–2896CrossRefGoogle Scholar
  11. Buffat Ph, Borel JP (1976) Size effect on the melting temperature of gold particles. Phys Rev 13A:2287–2298Google Scholar
  12. Das SK, Choi SUS, Yu W, Pradeep T (2008) Nanofluids science and technology. Wiley, HobokenGoogle Scholar
  13. Degenkolbe J, Sauerwald F (1952) Über fie innere Reibung der Schmelzflüssigen Kalium- und Natriumamalgame. Z Anorg Allg Chem 270:317–323CrossRefGoogle Scholar
  14. Dixon TS, Charles SW, Popplewell J (1981) The effect of the addition of antimony on the physical and magnetic properties of iron particles in mercury. J Phys F 11:1931–1941CrossRefGoogle Scholar
  15. Dreirach O, Evans R, Güntherodt HJ, Kunzi HU (1972) A simple muffin tin model for the electrical resistivity of liquid noble and transition metals and their alloys. J Phys F 2:709–725CrossRefGoogle Scholar
  16. Dubois E, Chevalet J, Massart R (1999) Magnetic conductive liquids: preparation and properties of iron nanoparticles in mercury. J Mol Liq 83:243–254CrossRefGoogle Scholar
  17. Einstein A (1906) Eine neue Bestimmung der Moleküldimensionen. Ann Phys IV 19:289–305CrossRefGoogle Scholar
  18. Einstein A (1911) Berichtigung zu meimer Arbeit: Eine neue Bestimmung der Moleküldimensionen. Ann Phys IV 34:591–592CrossRefGoogle Scholar
  19. Emsley J (1999) The elements, 3rd edn. Oxford University Press, Oxford, p 216Google Scholar
  20. Faber TE (1972) Introduction to the theory of liquid metals. Cambridge University Press, Cambridge, p 477Google Scholar
  21. Ferrante J, Smith JR (1985) Theory of the bimetallic interface. Phys Rev B31:3427–3434Google Scholar
  22. Foust OJ (1972) Sodium–NaK engineering handbook vol. I sodium chemistry and physical properties. Gordon and Breach, Science Publishers, Inc., New YorkGoogle Scholar
  23. Fujita T, Park HS, Ono K, Matsuo S, Okaya K, Dodbiba G (2011) Movement of liquid gallium dispersing low concentration of temperature sensitive magnetic particles under magnetic field. J Magn Magn Mater 323:1207–1210CrossRefGoogle Scholar
  24. Fukunaga K, Ogata K, Nagai M, Oka N, Ara K, Saito J, Kitagawa H, Yamauchi M (2008) Influence factor of the nanoparticles generation by the flash vaporization method. In: Japan Institute of Metals (ed) Proceedings of the 2008 fall meeting of Japan Institute of Metals, Kumamoto, 2008, p 586Google Scholar
  25. Gorse-Pomonti DG, Russier V (2007) Liquid metals for nuclear applications. J Non-Cryst Solids 353:3600–3614CrossRefGoogle Scholar
  26. Goto K (1989) Magnetic fluids. In: The forefront of physics no. 23. Kyoritsu Publishers, Tokyo, p 49Google Scholar
  27. Hamaker HC (1937) The London–van der Waals attraction between spherical particles. Physica 4:1058–1072CrossRefGoogle Scholar
  28. Haynes WH, Lide DR (eds) (2010) CRC handbook of chemistry and physics, 91st edn. CRC Press, Boca Raton, pp 5–85Google Scholar
  29. Hoon SR, Popplewell J, Charles SW (1979) Time dependent magnetization of iron particles in mercury ferromagnetic liquids. J Appl Phys 5:7798–7800CrossRefGoogle Scholar
  30. Hoon SR, Popplewell J, Charles SW (1982) The solid–liquid transition in mercury based magnetic fluids. J Phys F 12:2499–2507CrossRefGoogle Scholar
  31. Hudson JB (1998) Surface science introduction. Wiley–Interscience, New York, p 94Google Scholar
  32. Iida T, Guthrie RO (1988) The physical properties of liquid metals. Clarendon Press, Oxford, p 132Google Scholar
  33. Itami T (1995) Condensed matter–liquid transition metals and alloys. In: Srivastava AK, March NH (eds) Condensed matter-disordered solids. World Scientific, Singapore City, p 206Google Scholar
  34. Ito R, Dodbiba G, Fujita T (2005) MR fluid of liquid gallium dispersing magnetic particles. Int J Mod Phys B 19:1430–1436CrossRefGoogle Scholar
  35. Japan Institute of Metals (1993) Metal data book revised edition. Trans JIM 3:16Google Scholar
  36. Katakuse I, Ito H, Ichihara T (1990) Fission-like dissociation of doubly charged silver clusters. Int J Mass Spectrochem Ion Process 97:47–54CrossRefGoogle Scholar
  37. Keeting L, Charles SW, Popplewell J (1984) The prevention of diffusional growth of cobalt particles in mercury. J Phys F 14:3093–3100CrossRefGoogle Scholar
  38. Kitajima M, Itami T, Shimoji M (1974) Viscosity of liquid K–Hg alloys. Philos Mag 30:285–291CrossRefGoogle Scholar
  39. Kittel C (1967) Introduction to solid state physics, 2nd edn. Wiley, New York, p 68Google Scholar
  40. Klotz IM, Rosenberg RM (2000) Chemical thermodynamics basic theory and methods, 6th edn. Wiley–Interscience Publishers, New York, p 42Google Scholar
  41. Koizumi H, Sugano S, Ishii Y (1993) Shell correction study of fission of doubly charged silver clusters. Z Phys D28:223–234Google Scholar
  42. Lang ND, Kohn W (1970) Theory of metallic surfaces: charge density and surface energy. Phys Rev B1:4555–4568Google Scholar
  43. Lee SW (2010) Investigation of thermal conductivity of nanofluids with liquid gallium as a base fluid for heat transfer application. In: Nanofluids: fundamentals and applications II, Montreal, Canada, Aug 16Google Scholar
  44. Lifshitz EW (1956) The theory of molecular attraction forces between solid bodies. Sov Phys JETP (Engl Transl) 2:73–83Google Scholar
  45. Ma KQ, Liu J (2007) Nano liquid–metal fluid as ultimate coolant. Phys Lett A361:252–255Google Scholar
  46. Massart JR, Rasolonjatovo B, Neveu S, Cabuil V (2007) Mercury-based cobalt magnetic fluids and cobalt nanoparticles. J Magn Magn Mater 308:10–14CrossRefGoogle Scholar
  47. Maxwell JC (1873) Treatise on electricity and magnetism. Clarendon Press, OxfordGoogle Scholar
  48. Michaelson HB (1977) The work function of the elements and its periodicity. J Appl Phys 48:4729–4733CrossRefGoogle Scholar
  49. Misak MD (1968) Equations for determining 1/H versus S values in computer calculations of interfacial tension by the pendent drop method. J Colloid Interface Sci 27(1):141–142CrossRefGoogle Scholar
  50. Nozaki K, Itami T (2004) Dual Percolation Transition of an ionic conductor in the AgI–BN composite system. J Phys Condens Matter 16:7763–7767CrossRefGoogle Scholar
  51. Nozaki K, Itami T (2006a) The determination of the full set of characteristic values of percolation, percolation threshold, and critical exponents for the artificial composite with ionic conduction Ag4RbI5–(β-AgI). J Phys Condens Matter 18:2191–2198CrossRefGoogle Scholar
  52. Nozaki K, Itami T (2006b) The evolution of the ionic conduction of (AgI)x–(Ag2O)y–(B2O3)1-(x + y) glasses containing nanocrystallites of α-AgI. J Phys Condens Matter 18:3617–3627CrossRefGoogle Scholar
  53. Nozaki K, Itami T (2007) Ionic conduction in heterogeneous systems containing superionic conductors. In: Das MP (ed) Condensed matter: new research. Nova Science Publishers, New York, pp 191–220Google Scholar
  54. Ohshima K, Harada J (1984) An x-ray diffraction study of soft surface vibrations of FCC fine metal particles. J Phys C 17:1607–1616CrossRefGoogle Scholar
  55. Park HS, Cao LF, Dodbiba G, Fujita T (2009) Liquid gallium based temperature sensitive functional fluid dispersing chemically synthesized FeMB nanoparticles. J Phys Conf Ser 149:012108, 1–5Google Scholar
  56. Popplewell J, Charles SW, Hoon SR (1976) The long term stability of metallic ferromagnetic liquid. In: IEEE conference no. 142, pp 13–16Google Scholar
  57. Popplewell J, Charles SW, Boon SR (1980) Aggregate formation in metallic ferro-magnetic liquids. IEEE Trans Magn 16:191–196CrossRefGoogle Scholar
  58. Raims S (1967) The wave mechanics of electrons in metals. North-Holland Publishers, Amsterdam, p 194Google Scholar
  59. Rosenweig RG (1985) Ferrohydrodynamics. Cambridge University Press, Cambridge, p 36Google Scholar
  60. Safran SA (1994) Statistical thermodynamics of surfaces, interface and membranes. Perceus Books, CambridgeGoogle Scholar
  61. Saito J, Ara K (2010) A study of atomic interaction between suspended nanoparticles and sodium atoms in liquid sodium. Nucl Eng Des 240:2664–2673CrossRefGoogle Scholar
  62. Saunders WA (1990) Fission and liquid-drop behavior of charged gold clusters. Phys Rev Lett 64:3046–3049CrossRefGoogle Scholar
  63. Shimoji M (1977a) Liquid metals. Academic Press, London, p 110Google Scholar
  64. Shimoji M (1977b) Liquid metals. Academic Press, London, p 96Google Scholar
  65. Shimoji M (1977c) Liquid metals. Academic Press, London, p 109Google Scholar
  66. Shimoji M, Itami T (1986) Atomic transport in liquid metals. Trans Tech Publishers, Zurich, p 32Google Scholar
  67. Shpil’rain EE, Yakimovich KA, Fomin VA, Skovorodjko SN, Mozgovoi AG (1985a) Density and thermal expansion of liquid alkali metals. In: Ohse RW (ed) Handbook of thermodynamic and transport properties of alkali metals. International Union of Pure and Applied Chemistry, Blackwell Science Publishers, Oxford, p 435Google Scholar
  68. Shpil’rain EE, Yakimovich KA, Fomin VA, Skovorodjko SN (1985b) Thermal conductivity in the liquid phase. In: Ohse RW (ed) Handbook of thermodynamic and transport properties of alkali metals. International Union of Pure and Applied Chemistry, Blackwell Science Publishers, Oxford, p 753Google Scholar
  69. Sugano S, Koizumi H (1998a) Microclusters. Springer, Berlin, p 50CrossRefGoogle Scholar
  70. Sugano S, Koizumi H (1998b) Microclusters. Springer, Berlin, p 78CrossRefGoogle Scholar
  71. Thermodynamic Database Group (1992) Japan Society of Calorimetry and Thermal Analysis, materials-oriented little thermodynamic database for PC (MALT2). Kagaku Gijutsu-Sha, TokyoGoogle Scholar
  72. Thompson R (1981) The stability of metal particles and particle–plate interactions in liquid metals. In: Borgstedt HU (ed) Material behavior and physical chemistry in LIQUID METAL SYSTEMS. Plenum Press, New York, p 455Google Scholar
  73. Wong K, Tikhonov G, Kresin V (2002) Temperature-dependent work functions of free alkali-metal nanoparticles. Phys Rev B66:125401-1-5Google Scholar

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© Springer Science+Business Media Dordrecht 2012

Authors and Affiliations

  1. 1.Innovative Technology Research Group, FBR System Technology Development UnitAdvanced Nuclear System Research and Development Directorate, Japan Atomic Energy AgencyIbarakiJapan

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