Synthesis and Characterization of Gold Nanoparticles – A Fuzzy Mathematical Approach

  • D. Dutta Majumder
  • Sankar Karan
  • A. Goswami
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6744)


This article presents the development of nanoparticles (NPs) with potentially useful size and shape dependent properties that have the advantage of ultra-fine size, high surface area and useful interfacial imperfections. When developing NPs as catalysts, their shape is very important. For a certain volume of material, nanoparticles make the best catalysts when they have a large surface area. It is a challenge to find the shape that has the largest surface area for its volume. The particle shape contours were measured by transmission electron microscope with high resolution. These TEM images are analyzed with image clustering techniques and generalized shape theory that results the computational indicators for shape, degree of atomic compactness and charge arrangement of NPs.


Fuzzy C-Means Clustering Generalized Shape Theory & Metric Nanomaterial Nanoimaging Nano Synthesis 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • D. Dutta Majumder
    • 1
  • Sankar Karan
    • 2
  • A. Goswami
    • 3
  1. 1.ECSU, Indian Statistical InstituteKolkataIndia
  2. 2.Institute of Radiophysics and ElectronicsKolkataIndia
  3. 3.Biological Science DivisionKolkataIndia

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