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Volumn 78, Issue 3, 2008, Pages

Analytical approach to the local contact potential difference on (001) ionic surfaces: Implications for Kelvin probe force microscopy

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EID: 47349114511     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.78.035410     Document Type: Article
Times cited : (91)

References (47)
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    • The ionic polarizability αi is connected to the dielectric permittivity d by Claussius-Mossotti's equation.
    • The ionic polarizability αi is connected to the dielectric permittivity d by Claussius-Mossotti's equation.
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    • The latter is obtained by antisymmetrical transform of the charges layer with respect to the counterelectrode symmetry plane.
    • The latter is obtained by antisymmetrical transform of the charges layer with respect to the counterelectrode symmetry plane.
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    • This is also true because it has been assumed that the ionic crystal carried no net charge. Therefore there is no long-range electrostatic interaction.
    • This is also true because it has been assumed that the ionic crystal carried no net charge. Therefore there is no long-range electrostatic interaction.
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    • The latter is now obtained by antisymmetrical transform of the layer of ionic charges into the asperity.
    • The latter is now obtained by antisymmetrical transform of the layer of ionic charges into the asperity.
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    • The expression of σμ (2) (r> Ra, θ=π/2,φ) for an infinite planar geometry is σμ (2) = q a′2 cosh [δ (Vb)] { 4 χ (R,π/2,φ) -4 R3 r3 χ (R2 /r,π/2,φ) }.
    • The expression of σμ (2) (r> Ra, θ=π/2,φ) for an infinite planar geometry is σμ (2) = q a′2 cosh [δ (Vb)] { 4 χ (R,π/2,φ) -4 R3 r3 χ (R2 /r,π/2,φ) }.
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    • As a matter of fact, hd being very large, it can readily be verified that this result is always true whatever is the exact shape of the mesoscopic part of the tip apex.
    • As a matter of fact, hd being very large, it can readily be verified that this result is always true whatever is the exact shape of the mesoscopic part of the tip apex.
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    • It must be noticed that the resonance frequency of that mode might be shifted owing to the influence of the overall attractive force, i.e., including Van der Waals, short-range, and electrostatic components, similar to the resonance frequency of the fundamental mode.
    • It must be noticed that the resonance frequency of that mode might be shifted owing to the influence of the overall attractive force, i.e., including Van der Waals, short-range, and electrostatic components, similar to the resonance frequency of the fundamental mode.
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    • In Ref., the foremost unstable atom of the tip which is responsible for the contrast in dissipation is triggered at a distance of about 3Å from the surface. Above that threshold, no instability is observed.
    • In Ref., the foremost unstable atom of the tip which is responsible for the contrast in dissipation is triggered at a distance of about 3Å from the surface. Above that threshold, no instability is observed.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.