Diffraction by the ideal paracrystal

Eads, J.L.; Millane, Rick P.

doi:10.1107/s0108767301006341

Cited by 39 publications

(40 citation statements)

References 23 publications

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“…One possible approach (the IPM; Eads & Millane, 2001) assumes that each dot is labelled by two indexes n 1;2 and its position vector can be written as Therefore, the IPM assumes that the dots occupy the points of a disordered two-dimensional lattice with the lattice vectors a ð1;2Þ ,…”

Section: Two-dimensional Modelsmentioning

confidence: 99%

“…Two approaches are used, namely the short-range-order (SRO) model and the long-range-order (LRO) model. Starting from onedimensional SRO and LRO models we formulate a twodimensional SRO model of the dot positions similar to the well known ideal paracrystal model (IPM, see Eads & Millane, 2001). Then, based on this two-dimensional model, we develop three distinct three-dimensional SRO/LRO models of the dot positions.…”

Section: Introductionmentioning

confidence: 99%

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Grazing-incidence small-angle X-ray scattering: application to the study of quantum dot lattices

Buljan

Radić

Bernstorff

et al. 2011

Acta Crystallogr A Found Crystallogr

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The ordering of quantum dots in three-dimensional quantum dot lattices is investigated by grazing-incidence small-angle X-ray scattering (GISAXS). Theoretical models describing GISAXS intensity distributions for three general classes of lattices of quantum dots are proposed. The classes differ in the type of disorder of the positions of the quantum dots. The models enable full structure determination, including lattice type, lattice parameters, the type and degree of disorder in the quantum dot positions and the distributions of the quantum dot sizes. Applications of the developed models are demonstrated using experimentally measured data from several types of quantum dot lattices formed by a self-assembly process.

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Section: Two-dimensional Modelsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Grazing-incidence small-angle X-ray scattering: application to the study of quantum dot lattices

Buljan

Radić

Bernstorff

et al. 2011

Acta Crystallogr A Found Crystallogr

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“…The simplest kind of lattice disorder is known as disorder of the first kind, or uncorrelated disorder (Eads and Millane, 2001). This type of disorder was imposed on 36-chain microfibrils by repacking the chains to introduce random voids.…”

Section: Waxs Diffractograms For 36-chain Modelsmentioning

confidence: 99%

Wide-Angle X-Ray Scattering and Solid-State Nuclear Magnetic Resonance Data Combined to Test Models for Cellulose Microfibrils in Mung Bean Cell Walls

2013

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A synchrotron wide-angle x-ray scattering study of mung bean (Vigna radiata) primary cell walls was combined with published solid-state nuclear magnetic resonance data to test models for packing of (1→4)-b-glucan chains in cellulose microfibrils. Computersimulated peak shapes, calculated for 36-chain microfibrils with perfect order or uncorrelated disorder, were sharper than those in the experimental diffractogram. Introducing correlated disorder into the models broaden the simulated peaks but only when the disorder was increased to unrealistic magnitudes. Computer-simulated diffractograms, calculated for 24-and 18-chain models, showed good fits to experimental data. Particularly good fits to both x-ray and nuclear magnetic resonance data were obtained for collections of 18-chain models with mixed cross-sectional shapes and occasional twinning. Synthesis of 18-chain microfibrils is consistent with a model for cellulose-synthesizing complexes in which three cellulose synthase polypeptides form a particle and six particles form a rosette.

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“…The two-dimensional particle array is constructed assuming a two-dimensional short-range order model [13] described by a disordered hexagonal array with mean basis vectors a 1,2 forming the angle of 1208 and the same length a. The actual vector connecting the centers of the neighboring particles L is random with the mean size hLi ¼ a.…”

Section: Experimental 21 Sample Preparationmentioning

confidence: 99%

Self‐ordering of iron oxide nanoparticles covered by graphene

Valeš

Vejpravová

Pacáková

et al. 2014

Physica Status Solidi (b)

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We report on arrangement of iron oxide nanoparticles deposited on flat substrate, on and below graphene, respectively. We combined grazing incidence small angle X-ray scattering (GISAXS) and atomic force microscopy (AFM) to obtain the mean size of the particles and the mean inter-particle distance.While GISAXS provides statistically relevant information averaged over large area, AFM serves to support and clarify the results of GISAXS observations by inspection of the representative area of the sample.

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Diffraction by the ideal paracrystal

Cited by 39 publications

References 23 publications

Grazing-incidence small-angle X-ray scattering: application to the study of quantum dot lattices

Grazing-incidence small-angle X-ray scattering: application to the study of quantum dot lattices

Wide-Angle X-Ray Scattering and Solid-State Nuclear Magnetic Resonance Data Combined to Test Models for Cellulose Microfibrils in Mung Bean Cell Walls

Self‐ordering of iron oxide nanoparticles covered by graphene

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