Theoretical Application of Statistical Thermodynamics to Establish Energy Level Profile in Conducting Polymers

PDF

Published: 2022-02-05

Page: 63-75


Duke Omondi Orata *

Department of Chemistry, University of Nairobi, P.O. Box 30197-00100, Nairobi, Kenya.

Dorcas Gathoni Ngigi

Department of Chemistry, University of Nairobi, P.O. Box 30197-00100, Nairobi, Kenya.

David Kariuki

Department of Chemistry, University of Nairobi, P.O. Box 30197-00100, Nairobi, Kenya.

*Author to whom correspondence should be addressed.


Abstract

Electronically conducting polymers have been a subject of intense research given their broad applications domain in energy production, use as electrochromic devices etc. Unfortunately the conduction mechanism in these polymers is yet to be resolved conclusively. Various schemes have been proposed to account for conductivity in these conducting organic materials, with none completely fitting the behavior of these polymers

In this paper theoretical modelling based on Boltzmann and Fermi -Dirac statistical distribution models is applied to these electronic conductors in attempts to establish and propose the energy level profile in these organic conductors. The energy level profile

A partition function to account for the properties of these organic conductors is proposed. The results obtained  show that the Fermi-Dirac distribution model yields a more appropriate energy level pattern which is aligned to empirically known behavior  of these electronic conductors.

The partition function for the polymer obtained from the Fermi-Dirac model is constant, and is a veiled confirmation of the continuum formed by energy levels leading to formation of a band which are fundamental in the conduction process.

Both models confirm the fact that, these electronically conducting polymers obey the basic electronic configurational rules hence are just like metallic conductors.

Attempts have been made to use the concept of ensembles to refine the discussion on energy levels in the polymers.

Keywords: Polymers, energy production, electrochromic, electronic conductors, theoretical application


How to Cite

Orata, D. O., Ngigi, D. G., & Kariuki, D. (2022). Theoretical Application of Statistical Thermodynamics to Establish Energy Level Profile in Conducting Polymers. Asian Journal of Pure and Applied Mathematics, 4(1), 63–75. Retrieved from https://globalpresshub.com/index.php/AJPAM/article/view/1433

Downloads

Download data is not yet available.

References

Abhishek KM. Conducting polymers: Concepts and application. Journal of Atomic, Molecular, Condensed matter and Nano Physics. 2018;5 (2):4-10.

Abhishek KM. conducting polymers: concepts and applications: Journal of Atomic, Molecular, Condensate and Nano Physics. 2018;5(2):159-193.

Bakhshi AK, Rattan P. Electrical conducting polymers: an emerging technology. Curr. Sc. 1997;73: 648.

Bakhshi AK, Rattan P. Electrically Conducting Polymers: An emerging technology. JSTOR. 1997;73:(8)648-651.

Shirakawa H, Louis EJ, MacDiarmid AG, Chiang CK, Heeger AJ. Synthesis of electronically Conducting Organic Polymers-Halogen Derivatives of Polyacetylene, (ch) X, J.C.S. Chem. Comm. Physical Rev. 1977;39:578-580.

MacDiarmid AG, Mammone RJ, Kaner RB, Porter L. The concept of ‘doping’of conducting polymers: The role of reduction potentials. Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences. 1985 May 30;314(1528):3-15.

Heeger AJ, Schrieffer JR, Su W. Solitons in conducting polymers. Reviews of Modern Phsysic. 1988;60 (3):781- 850.

Bard AJ, Rudzinski WE. Clay modified electrodes, Part VI: aluminum and silicon pillared clay modified electrodes, J.Electroanal. Chem. 1986;199:323-340.

Bard AJ, Villemure G. Part 9: Electrochemical studies of the electroactive fraction of adsorbed species in reduced and preadsorbed clay films. J. Electroanal. Chem. 1990;282:107-121.

Gosh PK, Bard AJ. Clay Modified Electrodes part II, J. Electroanal. Chem. Soc. 1983;105:5691-5693.

Orata DO, Buttry DA. Determination of ion population and solvent content as a function of redox state and pH in polyaniline. J. Am. Chem. Soc. 1987;109357.