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Comment on the relationship between electrical and optical conductivity used in several recent papers published in the journal of materials science: materials in electronics

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Abstract

Recently a series of papers have been published in the Journal of Materials Science: Materials in Electronics and also in other journals in which a relationship of the form \({\sigma }_{\text{el} }=2knc/\alpha\), \({\sigma }_{\text{el} }=2\lambda {\sigma }_{\text{op} }/\alpha\) and \({\sigma }_{\text{el} }=\lambda {nc }/({2{\pi}})\) (where λ is the free-space wavelength of light c is the speed of light in vacuum) between the electrical conductivity σel and optical conductivity σ1op. The  refractive index n, absorption coefficient α and the extinction coefficient k have been used and conclusions have been drawn from these relationships, including graphs of electrical and optical conductivity as a function of photon energy over a very wide range (e.g., 1–5.6 eV). In this comment, the difference between the optical (\({\sigma }_{\text{op}})\) and electrical (\({\sigma }_{\text{el}}\)) conductivities is considered and analyzed through well-known textbook considerations; correct relations are given, and it is shown that the above expressions that have recently appeared in the literature are incorrect.

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  1. Physics Department, Faculty of Science, Al-Azhar University, Assiut, 71524, Egypt

    Kamal A. Aly

  2. Physics Department, College of Science & Arts Khulais, University of Jeddah, Khulais, Jeddah, 21921, Saudi Arabia

    Kamal A. Aly

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Aly, K.A. Comment on the relationship between electrical and optical conductivity used in several recent papers published in the journal of materials science: materials in electronics. J Mater Sci: Mater Electron 33, 2889–2898 (2022). https://doi.org/10.1007/s10854-021-07496-9

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