2017
DOI: 10.1380/ejssnt.2017.40
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Interaction Energy between Graphene and a Silicon Substrate Using Pairwise Summation of the Lennard-Jones Potential

Abstract: We consider the computation of a long-range interaction energy between a single graphene sheet and a silicon substrate, which arises from vacuum fluctuations. The interaction energy obtained by summation of the LennardJones potential between a carbon atom in a single graphene sheet and a silicon atom is compared with the dispersion energy (Casimir energy) obtained by combining the Lifshitz theory and the Dirac model for graphene. Deviation of the pairwise summation of the Lennard-Jones potential from the Casim… Show more

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Cited by 28 publications
(7 citation statements)
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“…We found the binding energy to be À0.1014 J=m 2 . This result agrees with the one obtained by Norio Inui and Sho Iwasaki [20]. As we can see from the Figure 8, the cohesive energy of graphite is much more superior to the binding energy between graphene and silicon.…”
Section: Resultssupporting
confidence: 92%
See 1 more Smart Citation
“…We found the binding energy to be À0.1014 J=m 2 . This result agrees with the one obtained by Norio Inui and Sho Iwasaki [20]. As we can see from the Figure 8, the cohesive energy of graphite is much more superior to the binding energy between graphene and silicon.…”
Section: Resultssupporting
confidence: 92%
“…Atoms parameters of ε and σ are mostly defined by experiments. The parameters values ε,σ for different atoms combinations were obtained through Rappe et al [19], and the references [20,21] by using the formulas:…”
Section: Parameters ε σmentioning
confidence: 99%
“…For the probes used in this experiment are electrically neutral, electrostatic forces can be excluded from adhesion. Besides, the force curve drops off fast and becomes zero for few nanometers away, which contradicts the long-range nature of the electrostatic force (Butt et al 2005;Inui and Iwasaki 2017). Considering the chemical nature of the substrate and the silica tip, the approaching/separation process is considered to be physical, and new chemical bonds are unlikely to form between them at room temperature.…”
Section: Discussionmentioning
confidence: 99%
“…The L-J potential parameters for carbon atoms in abrasive and carbon atoms in substrate are = 0.002967eV , σ = 3.407 Å [36]. And the L-J potential parameters for carbon atoms in abrasive and silicon atoms in substrate are = 0.008909 eV , σ = 3.326 Å [37].…”
Section: Methodsmentioning
confidence: 99%