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Liquid Drop Model Explaining Melting Point Depression of Nanoparticles

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Abstract

Nanoparticle research is an exciting field. Serving as a link between bulk materials and atoms, these materials, existing on a nanometre scale (10−9m), display some fascinating properties. One such property is the depression of melting point. As the particle size decreases, the melting temperature decreases dramatically. This article describes a model explaining the origin of this behaviour of nanomaterials (Figure 1). To reinforce the concept in the text and force the reader to think carefully about the quantitative aspects, short problems have been included in the end.

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References

  1. K K Nanda, S N Sahu and S N Behera, Liquid-drop model for the size-dependent melting of low-dimensional systems, Physical Review A, 66, p.013208, 2002.

    Article  Google Scholar 

  2. F J Heiligtag, M Niederberger, The fascinating world of nanoparticle research, Materials Today, Vol.16, No.7/8, pp.262–271, 2013.

    Article  Google Scholar 

  3. R R Roy and B P Nigam, Nuclear Physics: Theory and Experiment, John Wiley & Sons, Inc, pp.141–154, 1967.

    Google Scholar 

  4. R D Evans, The Atomic Nucleus, McGraw Hill, 1955.

    Google Scholar 

  5. https://nptel.ac.ni/courses/115102017/7

  6. http://hyperphysics.phy-astr.gsu.edu/hbase/Nuclear/shellpau.html#c1 Last accessed on: 21/12/2018

  7. https://en.wikipedia.org/wiki/Semi-empirical mass-formula

  8. J Tateno, An empirical relation on the melting temperature of some ionic crystals, Solid State Commun., Vol.10, No.1, pp.61–62, 1972.

    Article  Google Scholar 

  9. E Roduner, Size matters: Why nanomaterials are different, Chem. Soc. Rev., No.35, pp.583–592, 2006.

    Google Scholar 

  10. K K Nanda, Size-dependent melting of small particles: A classical approach, Eur. J. Phys., Vol.19, No.5, pp.471–472, 1998.

    Article  Google Scholar 

  11. G Schmid, B Corain, Nanoparticulated gold: Syntheses, structures, electronics, and reactivities, Eur. J. Inorg. Chem., Vol.17, pp.3081–3098, 2003.

    Article  Google Scholar 

  12. M Takagi, Electron diffraction study of liquid-solid transition of thin metal films, Journal of the Physical Society of Japan, Vol.9, pp.359–363, 1954.

    Article  Google Scholar 

Download references

Acknowledgments

I am much indebted to the anonymous reviewer for patiently and carefully reading through the multiple versions of this manuscript and pointing out the shortcomings. I am sincerely grateful to this reviewer for his/her valuable suggestions which resulted in a significant improvement of the original manuscript.

I acknowledge the scholarship through DST-KVPY. Suggested Reading

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Correspondence to Abhinaba Das.

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Abhinaba Das is a KVPY scholar currently studying at the Indian Institute of Science, Bengaluru.

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Das, A. Liquid Drop Model Explaining Melting Point Depression of Nanoparticles. Reson 25, 215–231 (2020). https://doi.org/10.1007/s12045-020-0937-7

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  • DOI: https://doi.org/10.1007/s12045-020-0937-7

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