1996
DOI: 10.1021/la950500j
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Determination of Single-Bond Forces from Contact Force Variances in Atomic Force Microscopy

Abstract: Atomic force microscopy contact forces are shown to obey a Poisson distribution, so that the ratio of their variance to mean gives the force of a single chemical bond between the tip and sample. The derived single-bond force was able to distinguish nominal van der Waals interactions (60 ( 3 pN) from hydrogenbond interactions (181 ( 35 pN) between atomic force microscope tips and gold and mica surfaces, respectively. This technique greatly reduced sampling time and sample wear, allowed quantitative use of low-r… Show more

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Cited by 140 publications
(157 citation statements)
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“…Moreover, in a long-range approach, surface appendages may be less important, as the concept of distance between bacteria and substratum surfaces is lost upon close approach. Long-range Lifshitz-Van der Waals adhesion forces can be derived from contact angles with liquids on the interacting surfaces and surface thermodynamic modeling (25,26) or decoupling of AFM adhesion force measurements using Poisson analysis (27)(28)(29)(30). However, among different strains, long-range adhesion forces vary considerably less than short-range forces (27)(28)(29)(30).…”
Section: Discussionmentioning
confidence: 99%
“…Moreover, in a long-range approach, surface appendages may be less important, as the concept of distance between bacteria and substratum surfaces is lost upon close approach. Long-range Lifshitz-Van der Waals adhesion forces can be derived from contact angles with liquids on the interacting surfaces and surface thermodynamic modeling (25,26) or decoupling of AFM adhesion force measurements using Poisson analysis (27)(28)(29)(30). However, among different strains, long-range adhesion forces vary considerably less than short-range forces (27)(28)(29)(30).…”
Section: Discussionmentioning
confidence: 99%
“…The attempt throughout this work was to minimize damage to the proteins which could occur by repeated pressure and forced unbinding by the probe. An alternative method for analyzing and distinguishing single chemical bond forces from a smaller number of SFM force curve measurements has recently been presented by Beebe et al [21,40]. This method applies Poisson statistics to compare mean forces with force variances for several data sets.…”
Section: Discussionmentioning
confidence: 99%
“…This analysis was extended to include the relative contribution of nonspecific interactions to observed force values [40]. In the absence of non-specific interactions, the intercept of the μ(σ 2 ) plot is zero.…”
Section: Discussionmentioning
confidence: 99%
“…The authors show that the effective force resolution and hence the possibility to detect quantized adhesion forces decreases with increasing solvent surface energy, increasing tip radius, and decreasing binding probability. In other works the determination of the single bond is achieved following a method based on the assumption that the ruptures obey Poisson statistics [125,391]. In this method chemical bonds, hydrogen bonds and van der Waals force are considered as specific interactions yielding a total adhesion force F ad that is the sum of any possible discrete bond.…”
Section: Determination Of Hamaker Constants Adhesion and Surface Enementioning
confidence: 99%