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- W4210743853 abstract "The effect of adhesion on the chemical potential of supported nanoparticles is derived for the case of spherical caps. It is explicitly shown that for the minimum-energy particle shape (neglecting any anisotropy in surface energy), the chemical potential of a spherical cap attached to any flat support material reduces to μ = 2γVm/r, where r is the radius of curvature, γ is the surface energy, and Vm is the volume per mole of atoms. This is identical to the well-known Gibbs–Thomson relation derived instead for free-standing spherical particles. The chemical potential nevertheless depends on the adhesion energy Eadh because this radius r is a strong function of both adhesion (specifically, of Eadh/γ) and particle volume. The approximation of hemispherical particle shape, for which μ = (3γ – Eadh)Vm/r as proposed by Campbell and Hemmingson (ACS Nano 2017, 11, 1196) is exact for γ = Eadh, where it reduces to μ = 2γVm/r. Using hemispheres, or any fixed particle shape, is furthermore shown to be a linear approximation to the exact dependence of μ on Eadh for the minimum-energy particle shape, with error <10% for contact angles between 66 and 120° (i.e., for Eadh/γ = 0.5–1.4). Generally, these approaches only consider the limit of a large radius of curvature, where γ and Eadh are constant. It is known that both γ and Eadh increase with the decreasing r below 4 nm." @default.
- W4210743853 created "2022-02-08" @default.
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- W4210743853 date "2022-01-31" @default.
- W4210743853 modified "2023-10-14" @default.
- W4210743853 title "Influence of Adhesion on the Chemical Potential of Supported Nanoparticles as Modeled with Spherical Caps" @default.
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- W4210743853 doi "https://doi.org/10.1021/acscatal.1c04633" @default.
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