Application of the Fermi Statistics to the Distribution of Electrons Under Fields in Metals and the Theory of Electrocapillarity

Rice, O. K.

doi:10.1103/physrev.31.1051

Cited by 67 publications

(25 citation statements)

References 8 publications

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“…It determines the local curved surface deviation from a spherical shape element. Equation (2.18) reduces to the planar capacitance c M [12,15] when H = 0 and K = 0. Equation (2.18) has three contributing terms.…”

Section: (C) Thomas-fermi Screening Capacitance Of Arbitrary Surface mentioning

confidence: 99%

“…We show how the shape and size of materials have important impact on the electronic screening and its charge storage property. We obtained analytical results solving the Poisson equation for electrostatics in the ThomasFermi (TF) approximation [10][11][12]. Further correction of electron spillover [13,14] near the electrode surface is made.…”

Section: Introductionmentioning

confidence: 99%

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Shape- and size-dependent electronic capacitance in nanostructured materials

Singh

Kant

2013

Proc. R. Soc. A.

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The shape and size are the two important geometrical factors that affect the electronic screening in nanomaterials. Here, we develop an analytical theory for electronic capacitance based on Thomas-Fermi screening in conjunction with 'multiple scattering method' for arbitrary-shaped nanostructures including electronic spillover correction. We relate the electronic capacitance of the material to the curvature correction expressed in terms of ratio of electronic screening length to principal radii of curvature. Electronic capacitance of various nanostructures is obtained showing geometrical shape-and sizedependent electronic screening in nanostructures that manifest important consequences in charge storage enhancement or reduction.

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Section: (C) Thomas-fermi Screening Capacitance Of Arbitrary Surface mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Shape- and size-dependent electronic capacitance in nanostructured materials

Singh

Kant

2013

Proc. R. Soc. A.

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“…Only the deformation polarisation, by way of ε 1 , was included, and we assumed that C M (dip) and C S (dip) could be calculated separately. Our calculations showed that the direct contribution of the metal could be important, although much weaker than that suggested by Rice [7] or that calculated more recently by Kuklin [2]. Therefore, we are now led to consider more precisely the coupling between C M (dip) and C S (dip).…”

Section: [End Of Page 25]mentioning

confidence: 92%

The metal in the polarisable interface coupling with the solvent phase

Badiali¹

1983

Journal of Electroanalytical Chemistry

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A quantum mechanical treatment of the conduction electrons of a metal in a polarisable interface shows that they can make an appreciable contribution to the electrical capacitance. Results for six metals are given, showing how differences in metal properties account qualitatively for experimentally observed differences in interfacial capacities, when the solvent is replaced by a dielectric film. To justify the neglect of solvent structure when metal properties are treated, the coupling between metal and solvent is discussed for orientable point solvent dipoles, and for a representation of the solvent polarisation by a pair of charged planes. The electron profile affects the polarisation of the solvent near the point of zero charge, but the solvent structure has an almost negligible effect on the metal contribution to the capacity. One parameter in our model, the distance from metal ions to the first solvent layer, can be expected to vary as the interface is charged, due to changed bonding. Coupling by such an effect can be quite important, and severely decreases the variation of metal capacity with charge.

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“…Half a century later, Martynov and Salem [97][98][99][100][101] continued the pioneering works [95,96] and developed a quantitative model predicted many physical surface parameters amazingly close to experimental data (when they were available). The innovative ideas and EC model [95][96][97][98][99][100][101] are closely connected with electrocapillary curves of liquid metals though they have no principal limitations for applica tion for solids as well [97]. The founders had given the main approaches as seen just from the titles of their articles: "Application of the Pauli Fermi Electron gas theory to the Problem of Cohesion Forces" (translation from German) [95] and "Application of the Fermi Statistics to the Distribution of Electrons under Fields in Metals and the Theory of Electrocap illarity" [96].…”

Section: Electronic Versus Molecular Capacitor At a Metal Electrolytementioning

confidence: 94%

“…Data available to support the simple and semi obvious idea of elastic nature of all surface energies and stresses would be not complete without a short descrip tion of the "Electronic capacitor" (EC) model of the metal surfaces proposed by Frenkel [95] and Rice [96] about a century ago. Half a century later, Martynov and Salem [97][98][99][100][101] continued the pioneering works [95,96] and developed a quantitative model predicted many physical surface parameters amazingly close to experimental data (when they were available).…”

Section: Electronic Versus Molecular Capacitor At a Metal Electrolytementioning

confidence: 99%

Surface free energy and surface stress as elastic components of the surface tension of condensed matter

Marichev¹

2012

Prot Met Phys Chem Surf

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The "surface free energy" and "surface stress" are basic notions in the current theory of the sur face tension of solids; they were used online together or separately thousands times, but never "as elastic com ponents of surface tension". Most of experts highlight that these different notions cannot be mixed or confused since the first one is of the "plastic" and second is of "elastic" nature. Below these opinions are shown to be incorrect. Sufficient evidences, both theoretical and experimental, demonstrate the elastic nature of both the "surface energy" and "surface stress". In this way, we considered the most convincible models of the metal surface based on the Coulomb interaction and purely elastic surface deformation. The reminiscent of the cantilever beam technique data and electrocapillary curves of mercury in combination with the specific adsorption data has logically led to the formulation of the "optimum surface electron density" notion (for the first time in the field of surface tension). S6: "partial charge transfer" 4200 "transfer to (at, on, the) mercury (Hg, Ga, amalgam) electrode(s)" 2 S7: "surface tension of mercury" 1480 "electronic capacitor model" AND "molecular capacitor (model)" since 1990: 425 mN/m = 1; 480-490 mN/m = 55 1 [95] * All possible variants have been investigated, counted and summarized. The present author works were excluded.

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Application of the Fermi Statistics to the Distribution of Electrons Under Fields in Metals and the Theory of Electrocapillarity

Cited by 67 publications

References 8 publications

Shape- and size-dependent electronic capacitance in nanostructured materials

Shape- and size-dependent electronic capacitance in nanostructured materials

The metal in the polarisable interface coupling with the solvent phase

Surface free energy and surface stress as elastic components of the surface tension of condensed matter

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