Abstract

The problem of image force energy W(Z) in three-layer plane structures, where Z is the coordinate perpendicular to the layers, has been reconsidered. In the classical electrostatic limit, where the dielectric permittivities ɛ i of all structure components (i = 1, 2, 3) are constants, the exact general dependences W(Z) were obtained for each layer and any ɛ i -combination in terms of the Lerch transcendent function. For certain combinations of ɛ i , an ion adsorption minimum was found to arise in one of the covers far from the interlayer. Some other combinations of ɛ i can lead to the appearance of a potential barrier, which does not permit a free charge existing in the cover to approach the interlayer, although it will be attracted to the interlayer in the close vicinity of the latter. For symmetric structures (ɛ 1 = ɛ 3), the asymptotic behavior of was shown to be rather than , as it takes place in the two-layer case. Simple approximate analytical formulas that describe W(Z) and possess high accuracy for arbitrary relationships among the ɛ i -constants were proposed.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.