Crystals and defects
Rotational symmetries of crystals with defects
... of crystals with uniform distributions of defects, of the idea that perfect crystals are represented by sets of points which are lattices, in the mathematical ...
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Reconciliation of local and global symmetries for a class of crystals with defects
... Keywords Crystals · Defects · Lie groups Mathematics Subject Classification (2000) MSC 74A20 · MSC 74E25 1 Introduction The purpose of this paper is to generalize, to the case of crystals with ...
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On symmetries of crystals with defects related to a class of solvable groups (S1)
... of crystals with corresponding uniform distributions of defects, where the dislocation density relates to the structure constants of the Lie group S 1 , though in this paper we focus just on the discrete ...
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Controlling Defects in Nematic and Smectic Liquid Crystals Through Boundary Geometry
... liquid crystals, curvature of the substrate together with an imposed point disclination gives rise to a cusp grain-boundary line, and above a threshold curvature a pair of ± 1-index point disclinations appears, as ...
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Controlling Defects in Nematic and Smectic Liquid Crystals Through Boundary Geometry
... liquid crystals, curvature of the substrate together with an imposed point disclination gives rise to a cusp grain-boundary line, and above a threshold curvature a pair of ± 1-index point disclinations appears, as ...
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Analysis and Optimization of Stress Wave Propagation in Two-Dimensional Granular Crystals with Defects
... spherical defects redirect part of the impact energy, in four directions along the rows and columns of particles in contact with the ...the crystals, as it oscillates between its nearest ...two ...
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On symmetries of crystals with defects related to a class of solvable groups (S2)
... This standard lemma asserts that ‘flow along a right–invariant field is equivalent to group multiplication’ – it is important for our work. Now we return to the question of what discrete set of points should be ...
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Magnetic Properties and Defects in Iron Implanted Strontium Titanate Single Crystals and Thin films
... Conductivity, on the other hand, is controlled by substituting Sr sites with elements that can donate extra carriers, such as La 3+ or Nb 5+ . Also, the presence of Fe and Co tends to reduce the number of available ...
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Cambridge University Press Crystals, Defects and Microstructures: Modeling Across Scales - Rob Phillips. Index
... of tetragonal symmetry, 332 relevance to hardening, 313 relevance to phase diagrams, 312 substitutional impurities, 312, 328 vacancy, defined, 327 polytype defined, 484 potential energy [r] ...
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SOME PRELIMINARY RESULTS ON DEFECTS IN IRRADIATED U02 SINGLE CRYSTALS AS REVEALED BY TRANSMISSION ELECTRO MICROSCOPY EUR 452 e
... Dislocation networks (small angle boundaries) are produced on annealing the crystals, irregular patterns of dislocations arise when sufficient thick parts of the crystal foils are trea[r] ...
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LASER SCATTERING TOMOGRAPHY FOR THE STUDY OF DEFECTS IN PROTEIN CRYSTALS SPO #14273 NAG July l, 1995 through June 30, 1996
... Also visible in figure ' (from tile leftl are the video monitors wtfich can display either ti:e entire frame from the camera or the composite image uenerated bv the computer and video bo[r] ...
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Clusters of Radiation Defects in Silicon Crystals
... radiation defects studies in silicon crystals are briefly reviewed and comprehensively analyzed depending on irradiation energy and dose, paying special attention to electron irradiation in wide energy ...
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Radiation effects and defects in lithium borate crystals
... lattice defects in borates, whose concentration plotted in log–log coordinates grows linearly with increasing excitation pulse power by nearly two orders of ...radiation-induced defects is not entirely ...
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RADIATION-INDUCED DEFECTS AND DICHROISM IN La3Ga5,5Ta0,5O14 CRYSTALS
... different conditions (crucible – Ir or Pt, growth atmosphere – air, pure Ar, Ar with addition of oxygen 2% or less then 2%), in the initial state and after electron irradiation. We observed dichroism in these ...
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Rotational interaction of topological defects in planar nematic liquid crystals.
... Liquid Crystals Liquid crystals were discovered in the late 19th century as a new phase of mat- ...liquid crystals. In reality liquid crystals are neither crystals or ...
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Dislocation sinks efficiency for self-point defects in iron and vanadium crystals
... dium, A el = 0.78 [13]. This work is aimed at exploring the effect of the stress fields of the dislocations on their sink efficiency for SPDs over the temperature range of 293–1000 K and in the dislocation density range ...
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Optical manipulation and imaging of assemblies of topological defects and colloids in liquid crystals
... have resulted in a vast body of new experimental results and discoveries, by applying them at length scales ranging from molecular to macroscopic. Polarizing microscopy (PM) is an imaging technique traditionally used for ...
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The X-Ray Diffraction Method for Study of Growth Defects in CVD Diamond Single Crystals
... single crystals, grown with nitrogen addition in methane –hydrogen plasma mixture, was studied by imaging plate area detector (IPD) giving pixel ...Growth defects are responsible for rising x-ray diffuse ...
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Colloidal crystals as photonic crystals
... 2.2. Close packed inverse colloidal crystals In 1993, S¨ozuer et al. [27] predicted that under appropriate conditions, FCC PCs could present a full photonic band gap. Since then, many laboratories started a quest ...
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mixed crystals
... mixed crystals in the temperature range from room temperature to melting points of their respective systems and the frequency range from 50 KHz to 1 ...of defects in the interfacial layer formed between the ...
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