Shape and Size Dependent Melting Point Temperature of Nanoparticles


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The present paper reports a simple calculation of the size and shape dependent melting temperature of nanoparticles. The melting temperature of any nanoparticle basically depends on the ratio of surface atoms to the total atoms. Significant melting temperature suppression is observed when the particle size approaches the sub-20 nm range. The behavior of melting temperature is similar for the larger nanoparticles of all considered shapes but differs significantly for small nanoparticles. Different melting temperature is predicted for the nanoparticles of the same size in different shapes.



Edited by:

Dílson S. dos Santos




S. K. Gupta et al., "Shape and Size Dependent Melting Point Temperature of Nanoparticles", Materials Science Forum, Vol. 570, pp. 132-137, 2008

Online since:

February 2008




[1] G.L. Allen, R.A. Bayles, W.W. Gile and W.A. Jesser: Thin Solid Films Vol. 144 (1986), p.297.

[2] G.L. Allen, W.W. Gile and W.A. Jesser: Acta Metall. Vol. 28 (1980), p.1695.

[3] M.J. Takagi: Phys. Soc. Japan Vol. 9 (1954), p.359.

[4] M. Hasegawa, K. Hoshino and M. Watabe: J. Phys. F 10 (1980), p.619.

[5] F.G. Shi: J. Mater. Res. Vol. 9 (1994), p.1307.

[6] A.N. Goldstein, C.M. Ether and A.P. Alivisatos: Science Vol. 256 (1992).

[7] C.L. Jackson, G.B. McKenna: Chem. Mater. Vol. 8 (1996), p.2128.

[8] W. H. Qi: Physica B Vol. 368 (2005), p.46.

[9] J. Chang and E. Johnson: Phil. Mag. Vol. 85 (2005), p.27.

[10] V. Damodara Das and D. Karunakarn: J. Appl. Phys. Vol. 68 (1990), p.2105.

[11] S. L. Lai, J.Y. Gua, V. Petrova, C. Ramnath and L.H. Allent, Phys. Rev. Lett 77, (1966) p.99.

[12] P. Pawlow: Z. Phys. Chem. Vol. 85 (1999), p.1.

[13] K. K. Nanda, S.N. Sahu and S.N. Behra: Phys. Rev. A Vol. 66 (2002), p.13208.

[14] Q. Jiang, Z. Zhang and J.C. Li: Chem. Phys. Lett. Vol. 322 (2000), p.549.

[15] J. Zhang, L.H. Zhang, Z.H. Jin, M.C. Sui and K. Lu: Acta Mater. Vol. 49 (2001), p.2897.

[16] R. Goswami and K. Chattopadhyay: Philos. Mag. Lett. Vol. 68 (1993), p.215.

[17] W. H. Qi and M. P. Wang , Materials Chemistry and Physics 88, (2004), p.280; Materials Letters 59, (2005), p.2262.

[17] J.H. Rose, J. Ferrante and J.R. Smith: Phys. Rev. Lett. Vol. 47 (1981), p.675.

[18] J. Ferrante, J.H. Rose and J.R. Smith: Appl. Phys. Lett. Vol. 44 (1984), p.53.

[19] T.B. David, Y. Lereah, G. Deutscher et al.: Philos. Mag. A Vol. 71 (1995), p.1135.