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Polymers 2017, 9(10), 527; https://doi.org/10.3390/polym9100527

A New Insight in Determining the Percolation Threshold of Electrical Conductivity for Extrinsically Conducting Polymer Composites through Different Sigmoidal Models

1
Department of Chemistry, College of Science, King Saud University, Riyadh 11451, Saudi Arabia
2
Department of Mechanical and Industrial Engineering, Qatar University, Doha 2713, Qatar
3
Department of Plastics and Polymer Engineering, Maharashtra Institute of Technology, Aurangabad, Maharashtra 431010, India
4
Department of Physics, University of Puerto Rico, San Juan, PR 00936-8377, USA
5
Department of Chemistry, Faculty of Science, Taif University, Taif 21974, Saudi Arabia
*
Authors to whom correspondence should be addressed.
Received: 11 September 2017 / Revised: 15 October 2017 / Accepted: 17 October 2017 / Published: 19 October 2017
(This article belongs to the Special Issue Conductive Polymers 2017)
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Abstract

The electrical conductivity of extrinsically conducting polymer composite systems passes through a transition state known as percolation threshold. A discussion has been made on how different Sigmoidal models (S-models), such as Sigmoidal–Boltzmann (SB), Sigmoidal–Dose Response (SD), Sigmoidal–Hill (SH), Sigmoidal–Logistic (SL), and Sigmoidal–Logistic-1 (SL-1), can be applied to predict the percolation threshold of electrical conductivity for ethylene vinyl acetate copolymer (EVA) and acrylonitrile butadiene copolymer (NBR) conducting composite systems filled with different carbon fillers. An interesting finding that comes from these observations is that the percolation threshold for electrical conductivity determined by SB and SD models are similar, whereas, the other models give different result when estimated for a particular composite system. This similarity and discrepancy in the results of percolation threshold have been discussed by considering the strength, weakness, and limitation of the models. The percolation threshold value for the composites has also been determined using the classical percolation theory and compared with the sigmoidal models. Moreover, to check the universal applicability, these Sigmoidal models have also been tested on results from some published literature. Finally, it is revealed that, except SL-1 model, the remaining models can successfully be used to determine the percolation threshold of electrical conductivity for extrinsically conductive polymer composites. View Full-Text
Keywords: polymer composites; electrical conductivity; percolation threshold; sigmoidal models polymer composites; electrical conductivity; percolation threshold; sigmoidal models
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Rahaman, M.; Aldalbahi, A.; Govindasami, P.; Khanam, N.P.; Bhandari, S.; Feng, P.; Altalhi, T. A New Insight in Determining the Percolation Threshold of Electrical Conductivity for Extrinsically Conducting Polymer Composites through Different Sigmoidal Models. Polymers 2017, 9, 527.

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