Small-angle techniques

Glatter, O.; May, R.

doi:10.1107/97809553602060000581

Absolute calibration of SANS data 2.6.2.6.1

Absolute intensity

in SANS 2.6.2.6.1

Aggregation effects in SANS 2.6.2.2.1

Asymptotic behaviour of SANS curves 2.6.2.6.4

Background

in SANS 2.6.2.6, 2.6.2.6.1, 2.6.2.6.2, 2.6.2.6.3, 2.6.2.6.3, 2.6.2.6.3

Biological macromolecules

SANS 2.6.2.1

Block collimation 2.6.1.5.1, 2.6.1.13

Bonse–Hart camera 2.6.1.5.1

Cameras

Bonse–Hart 2.6.1.5.1

ellipsoidal mirror in SANS 2.6.2.1.2

Kratky 2.6.1.5.1, 2.6.1.13

mirror 2.6.2.1.2

pinhole, in SANS 2.6.2.1.2

pinhole, in SAXS 2.6.1.5.1

small-angle 2.6.1.5.1

systems for synchrotron radiation 2.6.1.5.1

Characteristic function 2.6.1.2

Cold neutrons 2.6.2.1, 2.6.2.1.1

Collimation

block 2.6.1.5.1, 2.6.1.13

of neutrons 2.6.2.1.1, 2.6.2.1.2

Compton scattering 2.6.1.2

Concentration effects 2.6.1.3.3

elimination of 2.6.1.3.3

Contrast

match-point 2.6.2.2.1

variation, inverse 2.6.2.2.2, 2.6.2.7.7

variation, spin 2.6.2.3.1

variation in SANS 2.6.2.2.1

variation in SAXS 2.6.1.3.2.2

Convolution square-root technique 2.6.1.6.4

Correlation function 2.6.1.2

Correlation length 2.6.1.3.1

Cross sections

of a rod-like particle 2.6.1.3.1

PDDF of 2.6.1.6.3

Cylinder

elliptic 2.6.1.3.1

homogeneous 2.6.1.3.2.2, 2.6.1.8, 2.6.1.3.2.2

inhomogeneous 2.6.1.3.2.2, 2.6.1.8, 2.6.1.3.2.2

Data evaluation 2.6.1.6

Debye formula 2.6.1.7.3

Deconvolution

in SANS 2.6.2.7.3

Dense systems in SANS 2.6.2.8

Detector-response correction in SANS 2.6.2.6.2

Detectors

position-sensitive 2.6.1.5.2

Diffractometers

double-crystal in SANS 2.6.2.1.2

Direct structure analysis 2.6.1.6.4

Distance distribution functions 2.6.1.7.5

Double-crystal diffractometer in SANS 2.6.2.1.2

Electron density 2.6.1.2

Elimination of concentration effects 2.6.1.3.3

Ellipsoid 2.6.1.3.1

Ellipsoidal-mirror SANS camera 2.6.2.1.2

Ellipsoid of revolution 2.6.1.3.2.1, 2.6.1.3.2.1

Elliptic cylinder 2.6.1.3.1

Flat particles 2.6.1.3.2.1

cross-sectional inhomogeneity 2.6.1.3.2.2

molecular weight 2.6.1.3.1

Fourier integral 2.6.1.1

Fourier series 2.6.1.1

Fourier transformation 2.6.1.1

indirect 2.6.2.7.3, 2.6.2.7.4

Geometry of SANS 2.6.2.1.2

Globular particles 2.6.1.3.2.1

Guinier approximation 2.6.1.3.1, 2.6.2.7.1

Hankel transform 2.6.1.6.3

Hard-sphere interference model 2.6.1.3.3, 2.6.1.12

High-resolution experiments 2.6.1.3.2.2

Hollow cylinders 2.6.1.3.1

Hollow particles 2.6.1.3.2.2

Homogeneous cylinder 2.6.1.3.2.2, 2.6.1.8, 2.6.1.3.2.2

Homogeneous particles 2.6.1.3.2.1

Homogeneous triaxial bodies 2.6.1.3.1

Icosahedral viruses

SANS 2.6.2.7.5

Ill-conditioned least-squares problems 2.6.1.6.3

Incoherent multiple scattering 2.6.2.6

Incoherent scattering

Compton 2.6.1.2

level 2.6.2.6.3

Indirect transformation method 2.6.1.6.3, 2.6.1.6.3

Inhomogeneities in matter 2.6.2.1

Inhomogeneous cylinders 2.6.1.3.2.2, 2.6.1.8, 2.6.1.3.2.2

Inhomogeneous particles 2.6.1.3.2.2

Inner surface area 2.6.2.6.4

Instrumental broadening 2.6.1.6.2

Interference model

hard sphere 2.6.1.3.3, 2.6.1.12

Interparticle interference 2.6.1.3.3, 2.6.1.3.3, 2.6.1.3.3

Inverse contrast variation 2.6.2.2.2, 2.6.2.7.7

Isotopic

replacement, triple 2.6.2.7.7

Kratky cameras 2.6.1.5.1, 2.6.1.13

Labelling 2.6.1.3.2.2

isotopic 2.6.2.2

Label triangulation 2.6.2.7.6

Lagrange polynomials 2.6.2.7.5

Lamellar particles 2.6.1.3.2.2, 2.6.1.3.2.2

Latex particles 2.6.2.1.3

Least-squares refinement

problems 2.6.1.6.3

Low-Q scattering 2.6.2.1, 2.6.2.1, 2.6.2.1

Macromolecules

biological, use of SANS 2.6.2.1

Magnetic properties

of the neutron 2.6.2.3

Maximum dimension of a particle 2.6.1.3.1, 2.6.1.6.3

Mirror cameras 2.6.2.1.2

Model calculations in SAXS 2.6.1.7

Model fitting in SANS 2.6.2.7.5

Molecular biology

isotopic composition in SANS 2.6.2.2

Molecular weight 2.6.1.3.1

Monochromators 2.6.1.5, 2.6.1.5.1

Monodisperse systems 2.6.1.3

Moving splines 2.6.2.7.6

Multi-component complex, label triangulation 2.6.2.7.6

Multipole expansions 2.6.1.6.4

Neutrons

cold 2.6.2.1, 2.6.2.1.1

polarized 2.6.2.3.1

Non-periodic systems 2.6.1.1

Oblate ellipsoid of revolution 2.6.1.3.2.1

Organometallic compounds

label triangulation 2.6.2.7.6

Pair-distance distribution function (PDDF) 2.6.1.2

Partial structure factors

SANS 2.6.2.8

Particle(s)

latex 2.6.2.1.3

mass in SANS 2.6.2.7.2

maximum dimension 2.6.1.6.3

parameters of 2.6.1.3.1

shape in SANS 2.6.2.7.1

shape in SAXS 2.6.1.3.2

Particle size 2.6.1.1

distribution 2.6.2.7.4

PDDF (pair-distance distribution function) 2.6.1.2

Persistence length 2.6.1.3.1

Pinhole cameras

in SANS 2.6.2.1.2

in SAXS 2.6.1.5.1

Polarized neutrons 2.6.2.3.1

Polydisperse systems 2.6.1.1, 2.6.1.4

Polymers

isotopic composition in SANS 2.6.2.2

Position-sensitive detectors 2.6.1.5.2

Prolate ellipsoid of revolution 2.6.1.3.2.1

Proteins

label triangulation 2.6.2.7.6

Radial distribution function 2.6.1.3.3

Radius of gyration 2.6.1.3.1

of the cross section 2.6.1.3.1

of the thickness 2.6.1.3.1

Reference sample in SANS 2.6.2.6.3

Refinement

problems, least-squares 2.6.1.6.3

Relative molecular mass in SANS 2.6.2.7.2

Resolution errors

detector element 2.6.2.1.3

gravity 2.6.2.1.3

in SANS 2.6.2.1.3

slit 2.6.2.1.3

wavelength 2.6.2.1.3

Ribosomes

scattering curves from 2.6.2.7.5

Rod-like particles 2.6.1.3.2.1

molecular weight 2.6.1.3.1

radial inhomogeneity 2.6.1.3.2.2

SANS (small-angle neutron scattering) 2.6.2.1

SAXS (small-angle X-ray scattering) 2.6.1

Scattering functions 2.6.1.1

Scattering intensities

calculation of 2.6.1.7.3

neutron 2.6.2.1

Scattering-length densities 2.6.2.1

match-point 2.6.2.2.1

Scattering lengths

density 2.6.2.1

density, match-point 2.6.2.2.1

total 2.6.1.3.1

Scattering

low-Q 2.6.2.1, 2.6.2.1, 2.6.2.1

Scattering vector 2.6.1.2

Simulations in SAXS 2.6.1.7

Single-particle scattering 2.6.2.7

Small-angle cameras 2.6.1.5.1

Small-angle neutron scattering (SANS) 2.6.2.1

Small-angle X-ray scattering (SAXS) 2.6.1

Specific isotopic labelling 2.6.2.2.2

Specific surface 2.6.1.3.1

Sphere(s) 2.6.1.3.1, 2.6.1.3.2.1

hollow 2.6.1.3.1

Spherically symmetric particles 2.6.1.3.2.2

Spherical symmetry 2.6.1.6.4

Spin-contrast variation 2.6.2.3.1

Square-root technique, convolution 2.6.1.6.4

Structure analysis

direct 2.6.1.6.4

Structure factor(s)

partial 2.6.2.8

SANS 2.6.2.8, 2.6.2.8

Surface of a particle 2.6.1.3.1

Surface-roughness scattering 2.6.2.3

Symmetry

spherical 2.6.1.6.4

Synchrotron radiation 2.6.1.5, 2.6.1.5

camera systems for 2.6.1.5.1

Thickness

distance distribution function of 2.6.1.6.3

of lamellar particles 2.6.1.3.1

Thomson formula 2.6.1.2

Time-of-flight SANS 2.6.2.1.1

Total scattering lengths 2.6.1.3.1

Triaxial bodies, homogeneous 2.6.1.3.1

Triple isotopic replacement 2.6.2.7.7

Viruses

SANS 2.6.2.1.3, 2.6.2.7.5

Volume

of a homogeneous particle 2.6.1.3.1

Chapter 2.6. Small-angle techniques

Chapter index