Force dependences for the definition of the atomic force microscopy spatial resolution

Moiseev, Yu. N.; Mostepanenko, V. M.; Panov, V. I.; Sokolov, Igor

doi:10.1016/0375-9601(88)90868-7

Cited by 52 publications

(11 citation statements)

References 6 publications

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“…Mate et al [238] use the same set-up to study the thickness of liquid polymeric films [239,240]. Moiseev et al [241] measure forces with an STM-detection AFM between an Al 2 O 3 tip and an Al 2 O 3 surface. Also the first theoretical analysis of force curves is concerned with the elastic properties of the interacting surfaces [242].…”

Section: Overviewmentioning

confidence: 99%

Force measurements with the atomic force microscope: Technique, interpretation and applications

Butt

Cappella

Kappl

2005

Surface Science Reports

3,151

2,949

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Section: Overviewmentioning

confidence: 99%

Force measurements with the atomic force microscope: Technique, interpretation and applications

Butt

Cappella

Kappl

2005

Surface Science Reports

3,151

2,949

View full text Add to dashboard Cite

“…For extremely short wave lengths 10 −10 m < λ < 10 −9 m the best constraints on α G , λ were obtained in [297,298] by measuring the van der Waals force acting between a plate and a tip of an Atomic Force Microscope made of Al 2 O 3 .…”

Section: Constraints From the Experiments With Dielectric Test Bodiesmentioning

confidence: 99%

New developments in the Casimir effect

2001

Self Cite

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We provide a review of both new experimental and theoretical developments in the Casimir effect. The Casimir effect results from the alteration by the boundaries of the zero-point electromagnetic energy. Unique to the Casimir force is its strong dependence on shape, switching from attractive to repulsive as function of the size, geometry and topology of the boundary. Thus the Casimir force is a direct manifestation of the boundary dependence of quantum vacuum. We discuss in depth the general structure of the infinities in the field theory which are removed by a combination of zeta-functional regularization and heat kernel expansion. Different representations for the regularized vacuum energy are given. The Casimir energies and forces in a number of configurations of interest to applications are calculated. We stress the development of the Casimir force for real media including effects of nonzero temperature, finite conductivity of the boundary metal and surface roughness. Also the combined effect of these important factors is investigated in detail on the basis of condensed matter physics and quantum field theory at nonzero temperature. The experiments on measuring the Casimir force are also reviewed, starting first with the older measurements and finishing with a detailed presentation of modern precision experiments. The latter are accurately compared with the theoretical results for real media. At the end of the review we provide the most recent constraints on the corrections to Newtonian gravitational law and other hypothetical long-range interactions at submillimeter range obtained from the Casimir force measurements.

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“…A simple correction method giving the possibility to extract the microscopic dispersion constants (C 6 in the law U(r) ÀC 6 /r 6 ) using the macroscopic Hamaker constants (H 1 and H 2 in the nonretarded and retarded limit, respectively) has been proposed in [116,359]. If tip and sample occupy two half spaces divided by a gap of width z, then, performing an additive summation of the pair interatomic energies, one can easily show that the total nonretarded interaction energy (per unit area) is given by Uz À pn 1 n 2 C 6 12z 2 ; 5:1…”

Section: The Van-der-waals (Vdw) Forcesmentioning

confidence: 99%

“…For other possible tip shapes the dependence F(h) G h n is characterized by different values of the power index n (namely, À3 for a cylindrical tip, À1 for a conical one, etc.). The authors of [116,367] have analysed the geometry effects in AFM in more detail. It was found that the accuracy of the additive approximation is practically not worse than 5 to 10% and no more than 25% in the worst-case situation.…”

Section: The Van-der-waals (Vdw) Forcesmentioning

confidence: 99%

Experimental and Theoretical Aspects of the Modern Nanotribology

Dedkov

2000

phys. stat. sol. (a)

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A review is given of the present day problems related with experimental and theoretical studies in nanotribology, a new apatterning branch of physics, which pertains to investigations of the atomicscale friction, adhesion, wear and lubrication. When analysing the experimental results a major point of interest is related with ªdryº adhesion friction between the tip of an atomic force microscope and an atomically smooth surface. However, many other physical effects are considered, too, such as chemical ones, triboemission of particles, conduction in metallic nanocontacts, etc. For the first time, some new results in theoretical elaborations of adhesional (static) and dynamical (velocity-proportional) friction are discussed, as well as some results obtained using the computer simulations. A brief discussion of nanostructural friction measured with the quartz crystal microbalance technique and the surface-force apparatus is also given.

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Force dependences for the definition of the atomic force microscopy spatial resolution

Cited by 52 publications

References 6 publications

Force measurements with the atomic force microscope: Technique, interpretation and applications

Force measurements with the atomic force microscope: Technique, interpretation and applications

New developments in the Casimir effect

Experimental and Theoretical Aspects of the Modern Nanotribology

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