• S Ranganathan

      Articles written in Bulletin of Materials Science

    • An algorithm for generating quasiperiodic patterns and their approximants

      E A Lord K Ramakrishnan S Ranganathan

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      An algorithm for projecting the interior of a hypercube inN-dimensions on to anm-dimensional subspace has been developed and incorporated into a computer program for generating quasiperiodic and periodic patterns in ann-dimensional subspace. Some aspects of the resulting orthorhombic approximants to Penrose tiling patterns are discussed and illustrated.

    • Foreword

      G P Das V Kumar S Ranganathan U V Waghmare

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    • Orthorhombic rational approximants for decagonal quasicrystals

      S Ranganathan Anandh Subramaniam

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      An important exercise in the study of rational approximants is to derive their metric, especially in relation to the corresponding quasicrystal or the underlying clusters. Kuo’s model has been the widely accepted model to calculate the metric of the decagonal approximants. Using an alternate model, the metric of the approximants and other complex structures with the icosahedral cluster are explained elsewhere. In this work a comparison is made between the two models bringing out their equivalence. Further, using the concept of average lattices, a modified model is proposed.

    • Nanocrystalline TiO2 by three different synthetic approaches: A comparison

      T V Anuradha S Ranganathan

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      A comparison of the efficiency of three different synthetic routes viz. sol–gel method involving templating, mechanochemical synthesis and combustion synthesis for the production of nanostructured TiO2, is reported. In the sol–gel method, nanocrystalline TiO2 is produced when titanium tetraisopropoxide is templated onto dodecylamine which forms the liquid crystalline hexagonal structure and the template is then extracted using 1 : 1 solution of ethanol–hydrochloric acid mixture. Mechanochemical synthesis of nanocrystalline TiO2 involved mechanical milling of stoichiometric amounts of titanium and cupric oxide in a planetary ball mill using stainless steel vial with wear resistant stainless steel balls. Nanocrystalline TiO2 is produced by the combustion reaction involving titanyl nitrate and fuels like glycine and citric acid. Nanostructured TiO2 with an average particle size of ∼ 14 nm is produced by the sol–gel method whereas the mechanochemical reaction between titanium and cupric oxide resulted in the formation of nanocrystalline TiO2 with an average particle size of ∼ 20 nm after 12 h of milling. On the other hand, combustion synthesis resulted in the formation of nanocrystalline TiO2 with an average particle size of less than ∼ 50 nm. The microstructures of nanocrystalline TiO2 produced by the above three methods are analysed.

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