Description
Taylor and Francis Particle And Particle Systems Characterization Small-Angle Scattering (Sas) Applications 2014 Edition by WILFRIED GILLE
Small-angle scattering (SAS) is the premier technique for the characterization of disordered nanoscale particle ensembles. SAS is produced by the particle as a whole and does not depend in any way on the internal crystal structure of the particle. Since the first applications of X-ray scattering in the 1930s, SAS has developed into a standard method in the field of materials science. SAS is a non-destructive method and can be directly applied for solid and liquid samples.Particle and Particle Systems Characterization: Small-Angle Scattering (SAS) Applications is geared to any scientist who might want to apply SAS to study tightly packed particle ensembles using elements of stochastic geometry. After completing the book, the reader should be able to demonstrate detailed knowledge of the application of SAS for the characterization of physical and chemical materials. Scattering experiment and structure functions; particles and the correlation function of small-angle scatteringElastic scattering of a plane wave by a thin sampleSAS structure functions and scattering intensityChord length distributions and SASSAS structure functions for a fixed order range LAspects of data evaluation for a specific LChord length distribution densities (CLDDs) of selected elementary geometric figuresThe cone case-an instructive exampleEstablishing and representing CLDDsParallelepiped and limiting casesRight circular cylinderEllipsoid and limiting casesRegular tetrahedron (unit length case a = 1)Hemisphere and hemisphere shellThe Large Giza Pyramid as a homogeneous bodyRhombic prism Y based on the plane rhombus XScattering pattern I(h) and CLDD A(r) of a lensChord length distributions of infinitely long cylindersThe infinitely long cylinder caseTransformation 1: From the right section of a cylinder to a spatial cylinderRecognition analysis of rods with oval right section from the SAS correlation functionTransformation 2: From spatial cylinder C to the base X of the cylinderSpecific particle parameters in terms of chord length moments: The case of dilated cylindersCylinders of arbitrary height H with oval RSCLDDs of particle ensembles with size distributionParticle-to-particle interference-a useful toolParticle packing is characterized by the pair correlation function g(r)Quasi-diluted and non-touching particlesCorrelation function and scattering pattern of two infinitely long parallel cylindersFundamental connection between (r), c and g(r) Cylinder arrays and packages of parallel infinitely long circular cylinders Connections between SAS and WAS Chord length distributions: An alternative approach to the pair correlation function Scattering patterns and structure functions of Boolean modelsShort-order range approach for orderless systemsThe Boolean model for convex grainsInserting spherical grains of constant diameterSize distribution of spherical grainsChord length distributions of the Poisson slice modelPractical relevance of Boolean modelsThe "Dead Leaves" modelStructure functions and scattering pattern of a puzzle cell (PC)The uncovered "Dead Leaves" modelTessellations, fragment particles and puzzlesTessellations: original state and destroyed statePuzzle particles resulting from DLm tessellationsPunch-matrix/particle puzzlesAnalysis of nearly arbitrary fragment particles via their CLDDPredicting the fitting ability of fragments from SASPorous materials as "drifted apart tessellations"Volume fraction of random two-phase samples for a fixed order range L from (r,L) The linear simulation modelAnalysis of porous materials via -chords The volume fraction depends on the order range L The Synecek approach for ensembles of spheres Volume fraction investigation of Boolean models About the realistic porosity of porous materialsInterrelations between the moments of the chord length distributions of random two-phase systemsSingle particle case and particle ensemblesInterrelations between CLD moments of random particle ensemblesCLD concept and data evaluation: Some conclusionsExercises on problems of particle characterization: examplesThe phase difference in a point of observation PScattering pattern, CF and CLDD of single particlesStructure functions parameters of special modelsMoments of g(r), integral parameters and c