22,958 research outputs found
Enhancing urban analysis through lacunarity multiscale measurement
Urban spatial configurations in most part of the developing countries showparticular urban forms associated with the more informal urban development ofthese areas. Latin American cities are prime examples of this sort, butinvestigation of these urban forms using up to date computational and analyticaltechniques are still scarce. The purpose of this paper is to examine and extendthe methodology of multiscale analysis for urban spatial patterns evaluation. Weexplain and explore the use of Lacunarity based measurements to follow a lineof research that might make more use of new satellite imagery information inurban planning contexts. A set of binary classifications is performed at differentthresholds on selected neighbourhoods of a small Brazilian town. Theclassifications are appraised and lacunarity measurements are compared in faceof the different geographic referenced information for the same neighbourhoodareas. It was found that even with the simple image classification procedure, animportant amount of spatial configuration characteristics could be extracted withthe analytical procedure that, in turn, may be used in planning and other urbanstudies purposes
Interband polarized absorption in InP polytypic superlattices
Recent advances in growth techniques have allowed the fabrication of
semiconductor nanostructures with mixed wurtzite/zinc-blende crystal phases.
Although the optical characterization of these polytypic structures is well
eported in the literature, a deeper theoretical understanding of how crystal
phase mixing and quantum confinement change the output linear light
polarization is still needed. In this paper, we theoretically investigate the
mixing effects of wurtzite and zinc-blende phases on the interband absorption
and in the degree of light polarization of an InP polytypic superlattice. We
use a single 88 kp Hamiltonian that describes both crystal
phases. Quantum confinement is investigated by changing the size of the
polytypic unit cell. We also include the optical confinement effect due to the
dielectric mismatch between the superlattice and the vaccum and we show it to
be necessary to match experimental results. Our calculations for large wurtzite
concentrations and small quantum confinement explain the optical trends of
recent photoluminescence excitation measurements. Furthermore, we find a high
sensitivity to zinc-blende concentrations in the degree of linear polarization.
This sensitivity can be reduced by increasing quantum confinement. In
conclusion, our theoretical analysis provides an explanation for optical trends
in InP polytypic superlattices, and shows that the interplay of crystal phase
mixing and quantum confinement is an area worth exploring for light
polarization engineering.Comment: 9 pages, 6 figures and 1 tabl
Many-Electron Integrals over Gaussian Basis Functions. I. Recurrence Relations for Three-Electron Integrals
Explicitly correlated F12 methods are becoming the first choice for high-accuracy molecular orbital calculations and can often achieve chemical accuracy with relatively small Gaussian basis sets. In most calculations, the many three- and four-electron integrals that formally appear in the theory are avoided through judicious use of resolutions of the identity (RI). However, for the intrinsic accuracy of the F12 wave function to not be jeopardized, the associated RI auxiliary basis set must be large. Here, inspired by the Head-Gordon-Pople and PRISM algorithms for two-electron integrals, we present an algorithm to directly compute three-electron integrals over Gaussian basis functions and a very general class of three-electron operators without invoking RI approximations. A general methodology to derive vertical, transfer, and horizontal recurrence relations is also presented
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