Mathematical models for thermionic emission current density of graphene emitter
Abstract In this study, five mathematical models were fitted in the absence of space charge with experimental data to find a more appropriate model and predict the emission current density of the graphene-based thermionic energy converter accurately. Modified Richardson Dushman model (MRDE) shows th...
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Nature Portfolio
2021
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oai:doaj.org-article:7642722e287f4344a659eeb146465ba42021-11-21T12:16:39ZMathematical models for thermionic emission current density of graphene emitter10.1038/s41598-021-01546-22045-2322https://doaj.org/article/7642722e287f4344a659eeb146465ba42021-11-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-01546-2https://doaj.org/toc/2045-2322Abstract In this study, five mathematical models were fitted in the absence of space charge with experimental data to find a more appropriate model and predict the emission current density of the graphene-based thermionic energy converter accurately. Modified Richardson Dushman model (MRDE) shows that TEC's electron emission depends on temperature, Fermi energy, work function, and coefficient of thermal expansion. Lowest Least square value of $$S=\sum {\left({J}_{th}-{J}_{exp}\right)}^{2}=0.0002 \,\text{A}^{2}/\text{m}^{4}$$ S = ∑ J th - J exp 2 = 0.0002 A 2 / m 4 makes MRDE most suitable in modelling the emission current density of the graphene-based TEC over the other four tested models. The developed MRDE can be adopted in predicting the current emission density of two-dimensional materials and also future graphene-based TEC response.Olukunle C. OlawoleDilip K. DeSunday O. OyedepoFabian I. EzemaNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-9 (2021) |
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DOAJ |
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DOAJ |
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EN |
| topic |
Medicine R Science Q |
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Medicine R Science Q Olukunle C. Olawole Dilip K. De Sunday O. Oyedepo Fabian I. Ezema Mathematical models for thermionic emission current density of graphene emitter |
| description |
Abstract In this study, five mathematical models were fitted in the absence of space charge with experimental data to find a more appropriate model and predict the emission current density of the graphene-based thermionic energy converter accurately. Modified Richardson Dushman model (MRDE) shows that TEC's electron emission depends on temperature, Fermi energy, work function, and coefficient of thermal expansion. Lowest Least square value of $$S=\sum {\left({J}_{th}-{J}_{exp}\right)}^{2}=0.0002 \,\text{A}^{2}/\text{m}^{4}$$ S = ∑ J th - J exp 2 = 0.0002 A 2 / m 4 makes MRDE most suitable in modelling the emission current density of the graphene-based TEC over the other four tested models. The developed MRDE can be adopted in predicting the current emission density of two-dimensional materials and also future graphene-based TEC response. |
| format |
article |
| author |
Olukunle C. Olawole Dilip K. De Sunday O. Oyedepo Fabian I. Ezema |
| author_facet |
Olukunle C. Olawole Dilip K. De Sunday O. Oyedepo Fabian I. Ezema |
| author_sort |
Olukunle C. Olawole |
| title |
Mathematical models for thermionic emission current density of graphene emitter |
| title_short |
Mathematical models for thermionic emission current density of graphene emitter |
| title_full |
Mathematical models for thermionic emission current density of graphene emitter |
| title_fullStr |
Mathematical models for thermionic emission current density of graphene emitter |
| title_full_unstemmed |
Mathematical models for thermionic emission current density of graphene emitter |
| title_sort |
mathematical models for thermionic emission current density of graphene emitter |
| publisher |
Nature Portfolio |
| publishDate |
2021 |
| url |
https://doaj.org/article/7642722e287f4344a659eeb146465ba4 |
| work_keys_str_mv |
AT olukunlecolawole mathematicalmodelsforthermionicemissioncurrentdensityofgrapheneemitter AT dilipkde mathematicalmodelsforthermionicemissioncurrentdensityofgrapheneemitter AT sundayooyedepo mathematicalmodelsforthermionicemissioncurrentdensityofgrapheneemitter AT fabianiezema mathematicalmodelsforthermionicemissioncurrentdensityofgrapheneemitter |
| _version_ |
1718419130536689664 |