Analytical Model of CVD Growth of Graphene on Cu(111) Surface

Although the CVD synthesis of graphene on Cu(111) is an industrial process of outstanding importance, its theoretical description and modeling are hampered by its multiscale nature and the large number of elementary reactions involved. In this work, we propose an analytical model of graphene nucleat...

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Main Authors: Ilya Popov, Patrick Bügel, Mariana Kozlowska, Karin Fink, Felix Studt, Dmitry I. Sharapa
Format: Article
Language:English
Published: MDPI AG 2022-08-01
Series:Nanomaterials
Subjects:
Online Access:https://www.mdpi.com/2079-4991/12/17/2963
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author Ilya Popov
Patrick Bügel
Mariana Kozlowska
Karin Fink
Felix Studt
Dmitry I. Sharapa
author_facet Ilya Popov
Patrick Bügel
Mariana Kozlowska
Karin Fink
Felix Studt
Dmitry I. Sharapa
author_sort Ilya Popov
collection DOAJ
description Although the CVD synthesis of graphene on Cu(111) is an industrial process of outstanding importance, its theoretical description and modeling are hampered by its multiscale nature and the large number of elementary reactions involved. In this work, we propose an analytical model of graphene nucleation and growth on Cu(111) surfaces based on the combination of kinetic nucleation theory and the DFT simulations of elementary steps. In the framework of the proposed model, the mechanism of graphene nucleation is analyzed with particular emphasis on the roles played by the two main feeding species, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="normal">C</mi></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="normal">C</mi><mn>2</mn></msub></semantics></math></inline-formula>. Our analysis reveals unexpected patterns of graphene growth, not typical for classical nucleation theories. In addition, we show that the proposed theory allows for the reproduction of the experimentally observed characteristics of polycrystalline graphene samples in the most computationally efficient way.
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spelling doaj.art-2a454c769d294d70a26a5e467eeef3a52023-11-23T13:48:35ZengMDPI AGNanomaterials2079-49912022-08-011217296310.3390/nano12172963Analytical Model of CVD Growth of Graphene on Cu(111) SurfaceIlya Popov0Patrick Bügel1Mariana Kozlowska2Karin Fink3Felix Studt4Dmitry I. Sharapa5Institute of Catalysis Research and Technology (IKFT), Karlsruhe Institute of Technology (KIT), Hermann-von-Helmholtz-Platz 1, 76344 Eggenstein-Leopoldshafen, GermanyInstitute of Nanotechnology (INT), Karlsruhe Institute of Technology (KIT), Hermann-von-Helmholtz-Platz 1, 76344 Eggenstein-Leopoldshafen, GermanyInstitute of Nanotechnology (INT), Karlsruhe Institute of Technology (KIT), Hermann-von-Helmholtz-Platz 1, 76344 Eggenstein-Leopoldshafen, GermanyInstitute of Nanotechnology (INT), Karlsruhe Institute of Technology (KIT), Hermann-von-Helmholtz-Platz 1, 76344 Eggenstein-Leopoldshafen, GermanyInstitute of Catalysis Research and Technology (IKFT), Karlsruhe Institute of Technology (KIT), Hermann-von-Helmholtz-Platz 1, 76344 Eggenstein-Leopoldshafen, GermanyInstitute of Catalysis Research and Technology (IKFT), Karlsruhe Institute of Technology (KIT), Hermann-von-Helmholtz-Platz 1, 76344 Eggenstein-Leopoldshafen, GermanyAlthough the CVD synthesis of graphene on Cu(111) is an industrial process of outstanding importance, its theoretical description and modeling are hampered by its multiscale nature and the large number of elementary reactions involved. In this work, we propose an analytical model of graphene nucleation and growth on Cu(111) surfaces based on the combination of kinetic nucleation theory and the DFT simulations of elementary steps. In the framework of the proposed model, the mechanism of graphene nucleation is analyzed with particular emphasis on the roles played by the two main feeding species, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="normal">C</mi></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="normal">C</mi><mn>2</mn></msub></semantics></math></inline-formula>. Our analysis reveals unexpected patterns of graphene growth, not typical for classical nucleation theories. In addition, we show that the proposed theory allows for the reproduction of the experimentally observed characteristics of polycrystalline graphene samples in the most computationally efficient way.https://www.mdpi.com/2079-4991/12/17/2963graphene growthnucleation kineticsanalytical modelchemical vapor depositionlattice gas model
spellingShingle Ilya Popov
Patrick Bügel
Mariana Kozlowska
Karin Fink
Felix Studt
Dmitry I. Sharapa
Analytical Model of CVD Growth of Graphene on Cu(111) Surface
Nanomaterials
graphene growth
nucleation kinetics
analytical model
chemical vapor deposition
lattice gas model
title Analytical Model of CVD Growth of Graphene on Cu(111) Surface
title_full Analytical Model of CVD Growth of Graphene on Cu(111) Surface
title_fullStr Analytical Model of CVD Growth of Graphene on Cu(111) Surface
title_full_unstemmed Analytical Model of CVD Growth of Graphene on Cu(111) Surface
title_short Analytical Model of CVD Growth of Graphene on Cu(111) Surface
title_sort analytical model of cvd growth of graphene on cu 111 surface
topic graphene growth
nucleation kinetics
analytical model
chemical vapor deposition
lattice gas model
url https://www.mdpi.com/2079-4991/12/17/2963
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AT karinfink analyticalmodelofcvdgrowthofgrapheneoncu111surface
AT felixstudt analyticalmodelofcvdgrowthofgrapheneoncu111surface
AT dmitryisharapa analyticalmodelofcvdgrowthofgrapheneoncu111surface