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Journal of Materials Science

, Volume 46, Issue 19, pp 6437–6452 | Cite as

Quantifying nanoparticle dispersion: application of the Delaunay network for objective analysis of sample micrographs

  • D. J. BrayEmail author
  • S. G. Gilmour
  • F. J. Guild
  • T. H. Hsieh
  • K. Masania
  • A. C. Taylor
Article

Abstract

Measuring quantitatively the nanoparticle dispersion of a composite material requires more than choosing a particular parameter and determining its correspondence to good and bad dispersion. It additionally requires anticipation of the measure’s behaviour towards imperfect experimental data, such as that which can be obtained from a limited number of samples. It should be recognised that different samples from a common parent population can give statistically different responses due to sample variation alone and a measure of the likelihood of this occurring allows a decision on the dispersion to be made. It is also important to factor into the analysis the quality of the data in the micrograph with it: (a) being incomplete because some of the particles present in the micrograph are indistinguishable or go unseen; (b) including additional responses which are false. With the use of our preferred method, this article investigates the effects on the measured dispersion quality of nanoparticles of the micrograph’s magnification settings, the role of the fraction of nanoparticles visible and the number of micrographs used. It is demonstrated that the best choice of magnification, which gives the clearest indication of dispersion type, is dependent on the type of nanoparticle structure present. Furthermore, it is found that the measured dispersion can be modified by particle loss, through the limitations of micrograph construction, and material/microscope imperfections such as cut marks and optical aberrations which could lead to the wrong conclusions being drawn. The article finishes by showing the versatility of the dispersion measure by characterising various different spatial features.

Keywords

Silica Nanoparticles Area Fraction Rubber Particle Dispersion Quality Voronoi Polygon 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

The authors would like to thank the EPSRC for providing research funding under the grant EP/H00582X and Nanoresins for supplying materials.

References

  1. 1.
    Song YS, Youn JR (2005) Carbon 43:1378. doi: 10.1016/j.carbon.2005.01.007 CrossRefGoogle Scholar
  2. 2.
    Kinloch AJ, Taylor AC (2006) J Mater Sci 41:3271. doi: 10.1007/s10853-005-5472-0 CrossRefGoogle Scholar
  3. 3.
    Pavlidou S, Papaspyrides CD (2008) Prog Polym Sci 33:1119. doi: 10.1016/j.progpolymsci.2008.07.008 CrossRefGoogle Scholar
  4. 4.
    Paul DR, Robeson LM (2008) Polymer 49:3187. doi: 10.1016/j.polymer.2008.04.017 CrossRefGoogle Scholar
  5. 5.
    Manjunatha CM, Taylor AC, Kinloch AJ, Sprenger S (2009) J Mater Sci 44:4487. doi: 10.1007/s10853-009-3653-y CrossRefGoogle Scholar
  6. 6.
    Chen CH, Jian JY, Yen FS (2009) Composites Part A-Appl S 40:463. doi: 10.1016/j.compositesa.2009.01.010 CrossRefGoogle Scholar
  7. 7.
    Gershon A, Cole D, Kota A, Bruck H (2010) J Mater Sci 45:6353. doi: 10.1007/s10853-010-4597-y CrossRefGoogle Scholar
  8. 8.
    Luo ZP (2010) J Mater Sci 45:3228. doi: 10.1007/s10853-010-4330-x CrossRefGoogle Scholar
  9. 9.
    Bakshi SR, Batista RG, Agarwal A (2009) Composites Part A-Appl S 40:1311. doi: 10.1016/j.compositesa.2009.06.004 CrossRefGoogle Scholar
  10. 10.
    Berndt S, Bretschneider J, Helm H, Stoyan D (1996) Mater Charact 36:93CrossRefGoogle Scholar
  11. 11.
    Davy PJ, Guild FJ (1988) P Roy Soc Lond A Mat 418:95CrossRefGoogle Scholar
  12. 12.
    Ghosh S, Nowak Z, Lee K (1997) Acta Mater 45:2215CrossRefGoogle Scholar
  13. 13.
    Li M, Ghosh S, Richmond O, Weiland H, Rouns TN (1999) Mater Sci Eng A 265:153CrossRefGoogle Scholar
  14. 14.
    Heijman MJGW, Benes NE, ten Elshof JE, Verweij H (2002) Mater Res Bull 37:141CrossRefGoogle Scholar
  15. 15.
    Hendriks MGHM, Heijman MJGW, van Zyl WE, ten Elshof JE, Verweij H (2002) J Am Ceram Soc 85:2097CrossRefGoogle Scholar
  16. 16.
    Al-Ostaz A, Diwakar A, Alzebdeh KI (2007) J Mater Sci 42:7016. doi: 10.1007/s10853-006-1117-1 CrossRefGoogle Scholar
  17. 17.
    Zhu Y, Allen GC, Adams JM, Gittins D, Heard PJ, Skuse DR (2010) Compos Struct 92:2203. doi: 10.1016/j.compstruct.2009. 08.045 CrossRefGoogle Scholar
  18. 18.
    Khare HS, Burris DL (2010) Polymer 51:719. doi: 10.1016/j.polymer.2009.12.031 CrossRefGoogle Scholar
  19. 19.
    Yazdanbakhsh A, Grasley Z, Tyson B, Abu Al-Rub RK (2011) Composites Part A-Appl S 42:75. doi: 10.1016/j.physletb.2003.10.071 CrossRefGoogle Scholar
  20. 20.
    Bray DJ, Gilmour SG, Guild FJ, Taylor AC (2010) In: Proceedings of the 3rd international conference of the ERCIM working group on computing & statistics. Elsevier, London, p 29Google Scholar
  21. 21.
    Bray DJ, Gilmour SG, Guild FJ, Taylor AC (2011) J Roy Stat Soc C-App. SubmittedGoogle Scholar
  22. 22.
    Marcelpoil R, Usson Y (1992) J Theor Biol 154:359CrossRefGoogle Scholar
  23. 23.
    Johnsen BB, Kinloch AJ, Mohammed RD, Taylor AC, Sprenger S (2007) Polymer 48:530. doi: 10.1016/j.polymer.2006.11.038 CrossRefGoogle Scholar
  24. 24.
    Hsieh TH, Kinloch AJ, Masania K, Sohn Lee J, Taylor AC, Sprenger S (2010) J Mater Sci 45:1193. doi: 10.1007/s10853-009-4064-9 CrossRefGoogle Scholar
  25. 25.
    Dias A, Buono V, Vilela J, Andrade M, Lima T (1997) J Mater Sci 32:4715. doi: 10.1023/A:1018618628027 CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  • D. J. Bray
    • 1
    • 2
    Email author
  • S. G. Gilmour
    • 3
  • F. J. Guild
    • 1
  • T. H. Hsieh
    • 1
  • K. Masania
    • 1
  • A. C. Taylor
    • 1
  1. 1.Department of Mechanical EngineeringImperial College LondonLondonUK
  2. 2.School of Mathematical ScienceQueen Mary University of LondonLondonUK
  3. 3.Statistical Sciences Research InstituteUniversity of SouthamptonSouthamptonUK

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