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Comparative study of transport properties using transition metal model potential (TMMP) for 16 liquid metals

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Abstract

We propose a pseudopotential of Kumar form with two parameters, the core radius (\(r_{\mathrm{c}}\)) and the model radius (\(r_{\mathrm{m}}\)), which in practice is reduced to a single-parameter potential taking \(r_{\mathrm{m}}\) as the experimental atomic radius. The validity of the presently used pseudopotential is verified by carrying out a detailed study of transport properties of 16 liquid metals. The results of the liquid metal resistivities using the nearly free electron (NFE) Ziman’s approach and the single-site t-matrix approach are presented and compared with the experimental as well as other theoretical findings. Such comparative study confirms that the t-matrix approach is more appropriate and physically sound for a theoretical understanding of liquid metal resistivity, particularly in the case of transition metals. Furthermore, thermoelectric powers are also calculated using the present method and compared with the available experimental and theoretical results.

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Acknowledgements

The authors are thankful for the computational facilities developed at the Department of Physics, Gujarat University, Ahmedabad by using the financial assistance of (i) Department of Sciences and Technology (DST), New Delhi through the DST-FIST (Level 1) project (SR / FST / PSI-001 / 2006); (ii) University Grants Commission (UGC), New Delhi through DRS SAP (AP-I) project (F.530 / 10 / DRS / 2020); (iii) Department of Sciences and Technology (DST), New Delhi through the DST-FIST project (SR / FST / PSI-198 / 2014). The authors are also thankful to Ms Namrata Pania (Assistant professor in English, L. J. Institute of Applied Sciences, Gujarat University) for her careful observation, suggestions and corrections to improve the language and readability of the paper.

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Authors and Affiliations

  1. Department of Physics, L.J. Institute of Engineering and Technology, Gujarat Technological University, Ahmedabad, 382 424, India

    Kamaldeep G Bhatia

  2. Department of Physics, M.K. Bhavnagar University, Bhavnagar, 364 001, India

    N K Bhatt

  3. Department of Physics, School of Science, Gujarat University, Ahmedabad, 380 009, India

    P R Vyas & V B Gohel

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  1. Kamaldeep G Bhatia
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  2. N K Bhatt
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  3. P R Vyas
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  4. V B Gohel
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Correspondence to Kamaldeep G Bhatia.

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Bhatia, K.G., Bhatt, N.K., Vyas, P.R. et al. Comparative study of transport properties using transition metal model potential (TMMP) for 16 liquid metals. Pramana - J Phys 92, 28 (2019). https://doi.org/10.1007/s12043-018-1686-y

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  • DOI: https://doi.org/10.1007/s12043-018-1686-y

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