Resolution enhancement and improved data interpretation in electrostatic force microscopy

Physical Review B - Condensed Matter and Materials Physics

Volumn 64, Issue 24, 2001, Pages

  Colchero, J ^a   Gil, A ^a   Baro A M ^a  

^a UNIVERSIDAD AUTÓNOMA DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ADSORPTION; ANALYTIC METHOD; ARTICLE; DATA ANALYSIS; MODEL; MOLECULAR INTERACTION; NANOPARTICLE; SCANNING FORCE MICROSCOPY; SEMICONDUCTOR;

EID: 0035894513     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.64.245403     Document Type: Article

References (38)

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26. In addition, we assume no charges between tip and sample. If charges are present, see the discussion in Ref. 25.
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33. For the discussion presented here to be valid it is important that the field lines stand perpendicular to the sample so that the approximation used is valid.
34. A global mean voltage under the cantilever is defined through (formula presented).
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36. To be more precise, the effective force constant (formula presented) of the system should not vary significantly over the range of cantilever oscillation. This implies that (formula presented) where a is the oscillation amplitude, (formula presented) the second derivative of the force at the mean equilibrium position (formula presented), and (formula presented) the force constant of the cantilever.
37. We note that, in analogy to the electrostatic force between tip and sample, also the signal corresponding to the frequency shift will have three components: a dc component as well as a component varying with (formula presented) (more precisely: (formula presented) and another one varying with (formula presented) (more precisely: (formula presented). The idea is to adjust (formula presented) so that (formula presented).
38. The exact solution of a (full) sphere over a conduction surface is (formula presented), where the capacitance (formula presented) is determined through an an infinite sum: (formula presented) and (formula presented). See also W.R. Smythe, Static and Dynamic Electricity (McGraw-Hill, New York, 1939), p. 131.