Critical Size Structure Parameters for Au Nanoparticles

Abstract:

A model for calculating size dependent lattice volume of nanoparticles with that of the model for calculating size dependence melting point are applied to calculate nanoparticles structure parameters for Au in its critical size range smaller than 3 nm. From the method of trial and error for the melting temperature Tm, size dependence curve fitting to the experimental data is obtained. From this fitting curve, and both dependence of d_mean versus T_m, and h versus d_mean diagrams, the structure dependent parameters of bulk surface layer inter-planer distance h, vibrational entropy S_vib, T_m and mean bond length d_mean where found to have values of 0.2918 nm, 47 J. K^-1.mol^-1, 2500K and 0.2025 nm respectively. These parameters are the values for the expected bulk structure of the molecule like morphology for nanoparticles smaller than 3 nm diameter.

• Periodical: Advanced Materials Research (Volume 626)
• Pages: 976-979
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.626.976
• Online since: December 2012
• Authors: M.S. Omar
• Keywords: Crystal Surface Layer Interplaner Distance, Melting Point, Nanometric Critical Size Structure, Vibrational Entropy

References

[1] M. S. Omar; Int. J. of Thermophysics, 31 (2010) 1186.

[2] O. A. Yeshchenko, I M Demitruk, A. A. Alexeenko, and A. M. Dmytuk; Phys. Rev. B 7 m(2007) 085434.

[3] D. Reinhard, B. D. Hall, P. Berthoud, S. Valkealahti, and R. Monot; Phys. Rev. Lett. 79 (1997) 1459.

[4] D. Reinhard, B. D. Hall, P. Berthoud, S. Valkealahti, and R. Monot; Phys. Rev. B 58 (1998) 4917.

[5] K. Koga, T. Ikeshoji, and K. I. Sugawara; Phys. Rev. Lett. 92 (2004) 115507.

[6] M S Omar; Materials Research Bulletin, 2012 (In Press).

[7] H. W. King. In: R. W. Cahn, P. Haasen editors, Physical Metallurgy. Moscow: Metallurgy; 1987. p.473–9.

[8] M. S. Omar; Materials Research Bulletin, 42 (2007) 319.

[9] Q. Jiang, X. H. Zhou, M. Zhao; J. Chem. Phys. 117 (2002) 10269.

[10] Ph. Buffat and J. P. Borel; Phys. Rev. A 6 (1976) 2287.

[11] K. Koga, T. Ikeshoji, and K. I. Sugawara; Phys. Rev. Lett. 92 (2004) 115507.

[12] O. A. Yeshchenko and I. M. Dmitruk, A. A. Alexeenko, and A. M. Dmytruk; Phys. Rev. B 75 (2007) 085434.