Reliable and accurate extraction of Hamaker constants from surface force measurements

[Display omitted] A simple and accurate closed-form expression for the Hamaker constant that best represents experimental surface force data is presented. Numerical comparisons are made with the current standard least squares approach, which falsely assumes error-free separation measurements, and a...

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Published inJournal of colloid and interface science Vol. 524; pp. 263 - 266
Main Author Miklavcic, S.J.
Format Journal Article
LanguageEnglish
Published United States Elsevier Inc 15.08.2018
Subjects
accuracy
Atomic force microscope
equations
least squares
Least squares method
Surface force apparatus
Van der Waals forces
Least squares method
Atomic force microscope
Surface force apparatus
Van der Waals forces
Online AccessGet full text
ISSN0021-9797
1095-7103
1095-7103
DOI10.1016/j.jcis.2018.04.023

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Abstract [Display omitted] A simple and accurate closed-form expression for the Hamaker constant that best represents experimental surface force data is presented. Numerical comparisons are made with the current standard least squares approach, which falsely assumes error-free separation measurements, and a nonlinear version assuming independent measurements of force and separation are subject to error. The comparisons demonstrate that not only is the proposed formula easily implemented it is also considerably more accurate. This option is appropriate for any value of Hamaker constant, high or low, and certainly for any interacting system exhibiting an inverse square distance dependent van der Waals force.
AbstractList A simple and accurate closed-form expression for the Hamaker constant that best represents experimental surface force data is presented. Numerical comparisons are made with the current standard least squares approach, which falsely assumes error-free separation measurements, and a nonlinear version assuming independent measurements of force and separation are subject to error. The comparisons demonstrate that not only is the proposed formula easily implemented it is also considerably more accurate. This option is appropriate for any value of Hamaker constant, high or low, and certainly for any interacting system exhibiting an inverse square distance dependent van der Waals force.
A simple and accurate closed-form expression for the Hamaker constant that best represents experimental surface force data is presented. Numerical comparisons are made with the current standard least squares approach, which falsely assumes error-free separation measurements, and a nonlinear version assuming independent measurements of force and separation are subject to error. The comparisons demonstrate that not only is the proposed formula easily implemented it is also considerably more accurate. This option is appropriate for any value of Hamaker constant, high or low, and certainly for any interacting system exhibiting an inverse square distance dependent van der Waals force.A simple and accurate closed-form expression for the Hamaker constant that best represents experimental surface force data is presented. Numerical comparisons are made with the current standard least squares approach, which falsely assumes error-free separation measurements, and a nonlinear version assuming independent measurements of force and separation are subject to error. The comparisons demonstrate that not only is the proposed formula easily implemented it is also considerably more accurate. This option is appropriate for any value of Hamaker constant, high or low, and certainly for any interacting system exhibiting an inverse square distance dependent van der Waals force.
[Display omitted] A simple and accurate closed-form expression for the Hamaker constant that best represents experimental surface force data is presented. Numerical comparisons are made with the current standard least squares approach, which falsely assumes error-free separation measurements, and a nonlinear version assuming independent measurements of force and separation are subject to error. The comparisons demonstrate that not only is the proposed formula easily implemented it is also considerably more accurate. This option is appropriate for any value of Hamaker constant, high or low, and certainly for any interacting system exhibiting an inverse square distance dependent van der Waals force.
Author Miklavcic, S.J.
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Cites_doi 10.1021/la00037a033
10.1039/f19787400975
10.1006/jcis.1993.1199
10.1021/j100061a017
10.1016/0001-8686(80)80006-6
10.1021/la035651y
10.1109/ICIP.2013.6738168
10.1063/1.449693
10.1021/jp951526m
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Keywords Least squares method
Atomic force microscope
Surface force apparatus
Van der Waals forces
Language English
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Snippet [Display omitted] A simple and accurate closed-form expression for the Hamaker constant that best represents experimental surface force data is presented....
A simple and accurate closed-form expression for the Hamaker constant that best represents experimental surface force data is presented. Numerical comparisons...
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SubjectTerms accuracy
Atomic force microscope
equations
least squares
Least squares method
Surface force apparatus
Van der Waals forces
Title Reliable and accurate extraction of Hamaker constants from surface force measurements
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