Evaluation of Bloch–Gruneisen Function to Determine the Electrical Resistivity for Pure Nano-MgB2 Superconductor

Evaluation of Bloch–Gruneisen Function to Determine the Electrical Resistivity for Pure Nano-MgB2 Superconductor

Intikhab A. Ansari, C.V. Rao

Abstract. Here, the generalized Bloch–Gruneisen (BG) function is described with wide range of temperatures in addition with some other parameters. This function shows the easy and precise method to determine the resistivity as a function of temperature for pristine nano-MgB2 sample. The fitted outcomes are in resemblance with the experimental results up to 20–150 K temperature range. This generalized BG function is appropriate for diverse non-integers and integers values of n. Experimental result is full agreement with the fitted data for n = 4 integer value. Furthermore, the present method exposes the accuracy, easiness and preciseness of the results up to a high order of decimals for the determination of the resistivity as a function of temperature.

Keywords
Incomplete Gamma Function, Debye Temperature, Bose–Einstein Statistics

Published online 3/25/2022, 5 pages
Copyright © 2022 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Intikhab A. Ansari, C.V. Rao, Evaluation of Bloch–Gruneisen Function to Determine the Electrical Resistivity for Pure Nano-MgB2 Superconductor, Materials Research Proceedings, Vol. 22, pp 13-17, 2022

DOI: https://doi.org/10.21741/9781644901878-3

The article was published as article 3 of the book Functional Materials and Applied Physics

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

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