Compound phases often display properties that are symmetry forbidden relative to their nominal, average crystallographic symmetry, even if extrinsic reasons (defects, strain, or imperfections) not apparent. Specifically, breaking the macroscopic inversion of a centrosymmetric phase can dominate significantly change its observed while detailed mechanisms and magnitudes deviations obscure. Here, ...

The mononuclear complex [Cu(L)(CH3CN)(PPh3)]ClO4, (1), (L= 2,5-diphenyl-3,4-bis(2-pyridyl)cyclopenta-2,4-dien-1-one), has been synthesized and investigated by elemental analysis, IR, 1H NMR, UV-Vis spectroscopic methods and X-ray diffraction. The complex crystallizes in the non-centrosymmetric space group P212121 in accord with the asymmetric (atropisomer) Cu centre. Its coordination polyhedron...

This is the first of two papers to describe a matrix sparsification algorithm that takes a general real or complex matrix as input and produces a sparse output matrix of the same size. The non-zero entries in the output are chosen to minimize changes to the singular values and singular vectors corresponding to the near null-space of the input. The output matrix is constrained to preserve left a...

This letter deals with the problem of clutter edge detection and localization in training data. To this end, is formulated as a binary hypothesis test assuming that ranks covariance matrix are known, adaptive architectures designed based on generalized likelihood ratio to decide whether data within sliding window contains homogeneous set or two heterogeneous subsets. In design stage, we utilize...

Based on the transfer-matrix method, we theoretically explore transmission and reflection properties of light waves in a one-dimensional defective photonic crystal composed superconductor (HgBa2Ca2Cu3O8+?) semiconductor (GaAs) layers. The whole system is centrosymmetric can generate defect peak band gap. We study effect temperature mode. Results obtained show that mode shifts to lower frequency...

A class ξ of algebras of symmetric n × n matrices, related to Toeplitz-plus-Hankel structures and including the well-known algebra H diagonalized by the Hartley transform, is investigated. The algebras of ξ are then exploited in a general displacement decomposition of an arbitrary n× n matrix A. Any algebra of ξ is a 1-space, i.e., it is spanned by n matrices having as first rows the vectors of...

The Error-Reduction algorithm is tested to reconstruct the exact 2D-shape of irregular rough particles from their experimental interferometric images. are “programmable” generated with a digital micromirror device. method first applied centrosymmetric particles, and then non-centrosymmetric where twin image problem brings additional difficulty.