International Tables for Crystallography (2006). Vol. C, ch. 2.6, pp. 89-112
https://doi.org/10.1107/97809553602060000581

Chapter 2.6. Small-angle techniques

Chapter index

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
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
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
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
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
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
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
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
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
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
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
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
Volume
of a homogeneous particle 2.6.1.3.1