We compare our data instead to a recent theoretical model which treats exactly this case, and find significant points of agreement. We deal with the last integral by commuting Pj through. To observe refraction and lateral deviation of a beam of light incident obliquely on. Although the structure we observe has the same flux periodicity as expected for the Landau-level substructure known as the Hofstadter butterfly, such substructure will not be resolved at the temperatures of measurement (1–10 K). Surface Integrals of Scalar Functions Let S be a parametric surface described by, with (,) in some domain D. presence in that cone (Section 3) if the flux across the lateral surface of the cone is sufficiently. The total flux of fluid flow through the surface S, denoted by SF dS, is the integral of the vector field F over S. Surface energy and surface tension, angle of contact, excess of pressure. The temperature dependence of the strong oscillations agrees with the theory for commensurability oscillations in one-dimensional superlattices, but the smaller oscillations between these are more rapidly attenuated by increasing temperature. The amplitude of the oscillations is strongly enhanced when one magnetic-flux quantum ( h / e ) passes through an integral number of cells of the superlattice. integral multiple of the domain extension. We report strong, amplitude modulated, commensurability oscillations in the magnetoresistance of short period, square, two-dimensional, lateral surface superlattices with symmetric potentials. Since & dE (from eq 2.2) we must 4 0 r 2 remember. The calculation of the corresponding arriving flux distribution for points on the lateral.
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