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A new criterion for melting of nanostructures of arbitrary shapes

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Abstract

We introduce a new and general criterion for melting as an alternative to the commonly used Lindemann criterion. Nanostructures are modeled using a zipper model and the melting process is assumed to start from the outer layer and develop towards the center layer. Melting occurs when the logarithm of the partition function per number of layers is zero. The equation shows good consistency with experimental data for the melting of thin films, nanoparticles, and nanowires. We also introduce a degree-of-freedom parameter which seems to be universal for most metals.

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References

  1. F.A. Lindemann, Physik. Z. 11, 609 (1910)

    Google Scholar 

  2. J.J. Gilfarry, Phys. Rev. 102, 308 (1956)

    Article  ADS  Google Scholar 

  3. A.C. Lawson, Philos. Mag. B 81, 255 (2001)

    Article  ADS  Google Scholar 

  4. M. Roos, Phys. Rev. 184, 233 (1969)

    Article  ADS  Google Scholar 

  5. F.G. Shi, J. Mater. Res. 9, 1307 (1994)

    Article  ADS  Google Scholar 

  6. Q. Jiang, N. Aya, F.G. Shi, Appl. Phys. A 62, 627 (1997)

    Article  ADS  Google Scholar 

  7. Q. Jiang, H.Y. Tong, D.T. Hsu, K. Okuyama, F.G. Shi, Thin Solid Films 312, 357 (1998)

    Article  ADS  Google Scholar 

  8. Y.F. Zhu, J.S. Lian, Q. Jiang, J. Phys. Chem. C 113, 16896 (2009)

    Article  Google Scholar 

  9. W.F. Zhang, Y.L. He, M.S. Zhang, Z. Yin, Q. Chen, J. Phys. D 33, 912 (2000)

    Article  ADS  Google Scholar 

  10. Q. Jiang, S. Zhang, M. Zhao, Mater. Chem. Phys. 82, 225 (2003)

    Article  Google Scholar 

  11. Q. Jiang, F.G. Shi, Mater. Lett. 37, 79 (1998)

    Article  Google Scholar 

  12. Z. Zhang, X.X. Lu, Q. Jiang, Physica B 270, 249 (1999)

    Article  ADS  Google Scholar 

  13. Z. Liu, X. Sui, K. Kang, S. Qin, J. Phys. Chem. C 119, 11929 (2015)

    Article  Google Scholar 

  14. M. Abdullah, S. Khairunnisa, F. Akbar, Eur. J. Phys. 37, 015501 (2016)

    Article  Google Scholar 

  15. C. Kittel, Am. J. Phys. 37, 917 (1969)

    Article  ADS  Google Scholar 

  16. J.W. Cahn, Acta Met. 8, 554 (1960)

    Article  Google Scholar 

  17. C.Q. Sun, Y. Wang, B.K. Tay, S. Li, H. Huang, Y.B. Zhang, J. Phys. Chem. B 106, 10701 (2002)

    Article  Google Scholar 

  18. L.-H. Liang, H. Ma, Y. Wei, J. Nanomater. 2011, 670857 (2011)

    Google Scholar 

  19. L.-H. Liang, C.-M. Shen, X.-P. Chen, W.-M. Lau, H.-J. Gao, J. Phys: Condens. Matter 16, 267 (2004)

    ADS  Google Scholar 

  20. D. Bersani, P.P. Lotici, X.Z. Ding, Appl. Phys. Lett. 72, 73 (1998)

    Article  ADS  Google Scholar 

  21. X.H. Hu, J. Zi, J. Phys: Condens. Matter 14, L671 (2002)

    ADS  Google Scholar 

  22. M.J. Seong, O.I. Micic, A.J. Nozik, A. Mascarenhas, Appl. Phys. Lett. 82, 185 (2003)

    Article  ADS  Google Scholar 

  23. C.Q. Sun, Prog. Solid State Chem. 35, 1 (2007)

    Article  Google Scholar 

  24. Z. Zhang, J.C. Li, Q. Jiang, J. Phys. D 33, 2653 (2000)

    Article  ADS  Google Scholar 

  25. S. Xiong, W. Qi, Y. Cheng, B. Huang, M. Wang, Y. Li, Phys. Chem. Chem. Phys. 13, 10652 (2011)

    Article  Google Scholar 

  26. A. Safaei, M.A. Shandiz, S. Sanjabi, Z.H. Barber, J. Phys.: Condens. Matter 19, 216216 (2007)

    ADS  Google Scholar 

  27. W. Luo, W. Hu, S. Xiao, J. Phys. Chem. 112, 2359 (2008)

    Google Scholar 

  28. C.C. Yang, Y.-W. Mai, Mater. Sci. Eng. R 79, 1 (2014)

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Physics Bandung Institute of Technology Jalan Ganeca 10, 40132, Bandung, Indonesia

    Desyana Olenka Margaretta, Mega Silvia Lestari & Mikrajuddin Abdullah

  2. Sunan Gunung Djati State Islamic University, Jalan A.H. Nasution, Bandung, Indonesia

    Bebeh W. Nuryadin

Authors
  1. Desyana Olenka Margaretta
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  2. Mega Silvia Lestari
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  3. Bebeh W. Nuryadin
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  4. Mikrajuddin Abdullah
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Correspondence to Mikrajuddin Abdullah.

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Margaretta, D., Lestari, M., Nuryadin, B. et al. A new criterion for melting of nanostructures of arbitrary shapes. Eur. Phys. J. B 89, 154 (2016). https://doi.org/10.1140/epjb/e2016-70140-5

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  • DOI: https://doi.org/10.1140/epjb/e2016-70140-5

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