2004
DOI: 10.1103/physrevb.70.174110
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Induced nanoscale deformations in polymers using atomic force microscopy

Abstract: An exact analytical solution, based on the method of images, is obtained for the description of the electric field between an atomic force microscope (AFM) tip and a thin dielectric polymer film (30 nm thick) spin coated on a conductive substrate. Three different tip shapes are found to produce electrostatic pressure above the plasticity threshold in the polymers up to 50 MPa. It is shown experimentally that a strong nonuniform electric field ͑5 ϫ 10 8 -5ϫ 10 9 V m −1 ͒ between the AFM tip and polymer substrat… Show more

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Cited by 47 publications
(54 citation statements)
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“…The analytical solution based on the method of images for the electrostatic problem comprising an electrically biased tip and a thin dielectric film [9] provides the expression for electrostatic term F E calculated from the image charge distribution in the following form:…”
Section: Resultsmentioning
confidence: 99%
“…The analytical solution based on the method of images for the electrostatic problem comprising an electrically biased tip and a thin dielectric film [9] provides the expression for electrostatic term F E calculated from the image charge distribution in the following form:…”
Section: Resultsmentioning
confidence: 99%
“…First, the mean-squared electric field fluctuation (δE x ) 2 , the t = 0 limit of the correlation function in Eq. 2, is related, by a linear response argument and continuum electrostatics for a dielectric layer over a conductor [12], to ε, the static dielectric constant of the polymer film. Second, a corresponding dynamical relation between the Fourier transform in Eq.…”
Section: Nih Public Accessmentioning
confidence: 99%
“…Such an image type is calculated using a two-dimensional convolution procedure (Liscio et al 2006) between the effective area and the KPFM image, which is reconstructed with infinitesimal lateral resolution by assigning to each point of the topographic image the asymptotical SP value of either mica or nanotube. The effective area is well described by a two-dimensional Voigt curve calculated as proportional to the perpendicular electric field of the tip along the sample surface, in which the analytical expression was calculated by Lyuksyutov et al (2004).…”
Section: Resultsmentioning
confidence: 99%