This article is cited in 7 papers

Determining the effective fractal dimension of nanodimensional coatings with the aid of magnetic field

S. N. Grigor'ev, A. M. Mandel, V. B. Oshurko, G. I. Solomakho

Moscow State Technological University "Stankin"

Abstract: Method of the short-range potential that was originally constructed for a three-dimensional space is generalized to Euclidean spaces of arbitrary (including fractional) dimensions. Based on this method, a transcendental equation is derived for the electron binding energy in a superposition of the field of an $n$-dimensional $\delta$-well and an external magnetic field. The possibility of experimental determination of the fractal dimension of a nanostructured coating using the character of the dependence of its surface work function on the magnetic field strength measured in an atomic force microscope is considered.

Received: 04.07.2011

 English version: Technical Physics Letters, 2011, 37:12, 1176–1178

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