Search results for "Direct methods"

showing 10 items of 13 documents

"Ab initio" structure solution from electron diffraction data obtained by a combination of automated diffraction tomography and precession technique

2009

Using a combination of our recently developed automated diffraction tomography (ADT) module with precession electron technique (PED), quasi-kinematical 3D diffraction data sets of an inorganic salt (BaSO(4)) were collected. The lattice cell parameters and their orientation within the data sets were found automatically. The extracted intensities were used for "ab initio" structure analysis by direct methods. The data set covered almost the complete set of possible symmetrically equivalent reflections for an orthorhombic structure. The structure solution in one step delivered all heavy (Ba, S) as well as light atoms (O). Results of the structure solution using direct methods, charge flipping …

DiffractionChemistryAb initioMolecular physicsAtomic and Molecular Physics and OpticsElectronic Optical and Magnetic MaterialsDiffraction tomographyCrystallographyElectron diffractionLattice (order)Direct methodsElectron diffractionSTEMNanodiffractionAutomationTomographyPrecession electron techniqueStructure solutionPrecession electron diffractionOrthorhombic crystal systemInstrumentation
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Combining EXAFS and XRay Powder Diffraction to Solve Structures Containing Heavy Atoms

2005

Determination of structures using x-ray powder diffraction is complicated if the reflection intensities are mainly influenced by the scattering from heavy atoms and the atomic coordinates of light atoms remain uncertain. A method like EXAFS, which is sensitive to short range order, gives reliable atomic distances in the surroundings of heavy atoms with a precision of ±0.02 A. The probability for obtaining the complete structure from x-ray powder diffraction increases if one includes parameters derived from EXAFS measurements as restraints during the procedure of structure solving. We demonstrate the potential of combining EXAFS and x-ray powder diffraction by solving the structure UO2[H2AsO…

Materials scienceExtended X-ray absorption fine structureScatteringCondensed Matter PhysicsMolecular physicsAtomic and Molecular Physics and OpticsCondensed Matter::Materials SciencePolyhedronReflection (mathematics)Condensed Matter::SuperconductivityDirect methodsAtomStructure factorMathematical PhysicsPowder diffractionPhysica Scripta
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A new interpretation and practical aspects of the direct-methods modulus sum function. VIII

2001

Since the first publication of the direct-methods modulus sum function [Rius (1993). Acta Cryst. A49, 406-409], the application of this function to a variety of situations has been shown in a series of seven subsequent papers. In this way, much experience about this function and its practical use has been gained. It is thought by the authors that it is now the right moment to publish a more complete study of this function which also considers most of this practical knowledge. The first part of the study relates, thanks to a new interpretation, this function to other existing phase-refinement functions, while the second shows, with the help of test calculations on a selection of crystal stru…

Series (mathematics)Direct methodProteinsTangentField (mathematics)Function (mathematics)Biomechanical PhenomenaInterpretation (model theory)Moment (mathematics)Structural BiologyDirect methodsCalculusCrystallizationAlgorithmsMathematicsActa Crystallographica Section A Foundations of Crystallography
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Atomic structure solution of the complex quasicrystal approximant Al77Rh15Ru8 from electron diffraction data

2014

The crystal structure of the novel Al77Rh15Ru8phase (which is an approximant of decagonal quasicrystals) was determined using modern direct methods (MDM) applied to automated electron diffraction tomography (ADT) data. The Al77Rh15Ru8E-phase is orthorhombic [Pbma,a= 23.40 (5),b= 16.20 (4) andc= 20.00 (5) Å] and has one of the most complicated intermetallic structures solved solely by electron diffraction methods. Its structural model consists of 78 unique atomic positions in the unit cell (19 Rh/Ru and 59 Al). Precession electron diffraction (PED) patterns and high-resolution electron microscopy (HRTEM) images were used for the validation of the proposed atomic model. The structure of the E…

ChemistryMetals and AlloysQuasicrystalCrystal structureelectron diffraction tomography; icosahedral and decagonal quasicrystals; modern direct methodsAtomic and Molecular Physics and OpticsElectronic Optical and Magnetic MaterialsCrystallographyElectron diffractionmodern direct methodsMaterials ChemistryAtomic modelicosahedral and decagonal quasicrystalsPrecession electron diffractionOrthorhombic crystal systemelectron diffraction tomographyHigh-resolution transmission electron microscopyElectron backscatter diffraction
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The role of electron diffraction in zeolite structure determination

2006

Because electron diffraction can sample individual microcrystals, it is clear that this single crystal method can facilitate, in at least two ways, structure determination for inorganic materials, such as zeolites, that are preferentially microcrystalline. First, in a qualitative application, three-dimensional tilts of individual small crystals, to map the reciprocal lattice, greatly facilitates unit cell and space group determination when powder diffraction indexing programs fail. If incoherent multiple scattering leads to violation of systematic absences, these absences can be restored by collection of precession diffraction patterns based on the Vincent-Midgley method [1], as demonstrate…

DiffractionReflection high-energy electron diffractionChemistryGas electron diffractionElectron crystallographybusiness.industrySayre equationMolecular physicsOpticsElectron diffractionStructural BiologyDirect methodsbusinessPowder diffractionActa Crystallographica Section A Foundations of Crystallography
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Charoite, as an example of a structure with natural nanotubes

2012

Charoite from the Murun massif in Yakutiya, Russia (Vorob’ev 2008) was investigated using automated electron diffraction tomography (ADT) (Kolb et al. 2007, 2008; Mugnaioli et al. 2010) and precession electron diffraction (PED) (Mugnaioli et al. 2010, 2009), which allowed to determine the structure of charoite for the first time. The structure was solved ab initio in space group P21/m by direct methods using a fully kinematic approach. The least squares refinements with 2878 reflections F(hkl) >4s F converged to unweighted/weighted residuals R 1/wR 2 • 0.173/0.21 (Rozhdestvenskaya et al. 2010).

PhysicsBoron Nitride; Mirror Plane; Potassium Atom; Apical Oxygen; Kinematic ApproachApical OxygenAnalytical chemistryStructure (category theory)Ab initioengineering.materialLeast squaresPotassium AtomElectron diffractionCharoiteDirect methodsengineeringPrecession electron diffractionBoron NitrideKinematic ApproachBoron Nitride Mirror Plane Potassium Atom Apical Oxygen Kinematic ApproachMirror planeMirror Plane
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Comparison of electron diffraction data from non-linear optically active organic DMABC crystals obtained at 100 and 300 kV

2000

During the recent past, we have synthesized a new class of molecules with intramolecular two-dimensional charge transfer upon excitation. The present report presents such a molecule, 2,6-bis(4-dimethylamino-benzylidene)-cyclohexanone (DMABC), with an unusually high value of the second-order non-linear optical (NLO) coefficients. In order to optimize the macroscopic NLO properties of the compounds, it is necessary to relate their first hyperpolarizability tensors at a molecular level to those at a crystal bulk level. This requires a complete structure determination and refinement. However, the growth of sufficiently large single crystals, which are needed for structural analysis and refineme…

Chemistrybusiness.industryDirect methodResolution (electron density)Ab initioHyperpolarizabilityAtomic and Molecular Physics and OpticsElectronic Optical and Magnetic MaterialsComputational physicsCrystalOpticsElectron diffractionDirect methodsTensorbusinessInstrumentationUltramicroscopy
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The beta-delayed proton and gamma decay of 27P for nuclear astrophysics

2013

The creation site of 26Al is still under debate. It is thought to be produced in hydrogen burning and in explosive helium burning in novae and supernovae, and possibly also in the H-burning in outer shells of red giant stars. Also, the reactions for its creation or destruction are not completely known. When 26Al is created in novae, the reaction chain is: 24Mg(p, γ) 25Al(β +ν) 25Mg(p, γ) 26Al, but this chain can be by-passed by another chain, 25Al(p, γ) 26Si(p, γ) 27P and it can also be destroyed directly. The reaction 26mAl(p, γ) 27Si∗ is another avenue to bypass the production of 26Al and it is dominated by resonant capture. We find and study these resonances by an indirect method, throug…

nuclear astro-physicsindirect methodsdaughter nucleusproduction ofresonant capturehelium-burningreaction chainslow-energy protons
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Comparison of Numerical Methods in the Contrast Imaging Problem in NMR

2013

International audience; In this article, the contrast imaging problem in nuclear magnetic resonance is modeled as a Mayer problem in optimal control. A first synthesis of locally optimal solutions is given in the single-input case using geometric methods based on Pontryagin's maximum principle. We then compare these results using direct methods and a moment-based approach, and make a first step towards global optimality. Finally, some preliminary results are given in the bi-input case.

Optimization[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC]0209 industrial biotechnologyMathematical optimization010103 numerical & computational mathematics02 engineering and technologyContrast imaging01 natural sciencesNuclear magnetic resonanceMagnetic resonance imaging020901 industrial engineering & automationSoftwareMaximum principleApplied mathematics0101 mathematicsGeometric programmingMathematicsbusiness.industryNumerical analysis[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]VectorsOptimal controlOptimal controlCalcul parallèle distribué et partagéMoment (mathematics)Direct methods[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]businessSoftware
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Using FOCUS to solve zeolite structures from three-dimensional electron diffraction data

2013

The programFOCUS[Grosse-Kunstleve, McCusker & Baerlocher (1997).J. Appl. Cryst.30, 985–995] was originally developed to solve zeolite structures from X-ray powder diffraction data. It uses zeolite-specific chemical information (three-dimensional 4-connected framework structure with known bond distances and angles) to supplement the diffraction data. In this way, it is possible to compensate, at least in part, for the ambiguity of the reflection intensities resulting from reflection overlap, and the program has proven to be quite successful. Recently, advances in electron microscopy have led to the development of automated diffraction tomography (ADT) and rotation electron diffraction (R…

Diffractionzeolites02 engineering and technology010402 general chemistry01 natural sciencesGeneral Biochemistry Genetics and Molecular Biologylaw.inventionautomated diffraction tomography; computer programs; rotation electron diffraction; structure solution; zeolitesDiffraction tomographyOpticslawstructure solutionautomated diffraction tomographyrotation electron diffractionbusiness.industryChemistryScattering021001 nanoscience & nanotechnologycomputer programs0104 chemical sciencesElectron diffractionDirect methodsCrystalliteElectron microscope0210 nano-technologybusinessPowder diffractionJOURNAL OF APPLIED CRYSTALLOGRAPHY
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