Difference between revisions of "Form Factor"
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* [[Form Factor:Cube|Cube]] | * [[Form Factor:Cube|Cube]] | ||
| − | == | + | ==Form Factor Equations in the Literature== |
The following is a partial list of form factors that have been published in the literature: | The following is a partial list of form factors that have been published in the literature: | ||
* [http://www.ncnr.nist.gov/resources/old_applets/index.html NCNR SANS solution form factors]: | * [http://www.ncnr.nist.gov/resources/old_applets/index.html NCNR SANS solution form factors]: | ||
Revision as of 08:01, 4 June 2014
The Form Factor is the scattering which results from the shape of a particle.
Form Factor Equations
Form Factor Equations in the Literature
The following is a partial list of form factors that have been published in the literature:
- IsGISAXS, Born form factors (see also Gilles Renaud, Rémi Lazzari,Frédéric Leroy "Probing surface and interface morphology with Grazing Incidence Small Angle X-Ray Scattering" Surface Science Reports, 64 (8), 31 August 2009, 255-380 doi:10.1016/j.surfrep.2009.07.002):
- Parallelepiped
- Pyramid
- Cylinder
- Cone
- Prism 3
- Tetrahedron
- Prism 6
- cone 6
- Sphere
- Cubooctahedron
- Facetted sphere
- Full sphere
- Full spheroid
- Box
- Anisotropic pyramid
- Hemi-ellipsoid
- Scattering functions of Platonic solids Xin Li, Roger Pynn, Wei-Ren Chen, et al. Journal of Applied Crystallography 2011, 44, p.1 doi:10.1107/S0021889811011691
- Tetrahedron
- Hexahedron (cube, parallelepiped, etc.)
- Octahedron
- Dodecahedron
- Icosahedron
- Pedersen Review: Analysis of small-angle scattering data from colloids and polymer solutions: modeling and least-squares fitting Jan Skov Pedersen, Advances in Colloid and Interface Science 1997, 70, 171. doi: 10.1016/S0001-8686(97)00312-6
- Homogeneous sphere
- Spherical shell
- Spherical concentric shells
- Particles consisting of spherical subunits
- Ellipsoid of revolution
- Tri-axial ellipsoid
- Cube and rectangular parallelepipedons
- Truncated octahedra
- Faceted sphere
- Cube with terraces
- Cylinder
- Cylinder with elliptical cross section
- Cylinder with spherical end-caps
- Infinitely thin rod
- Infinitely thin circular disk
- Fractal aggregates
- Flexible polymers with Gaussian statistics
- Flexible self-avoiding polymers
- Semi-flexible polymers without self-avoidance
- Semi-flexible polymers with self-avoidance
- Star polymer with Gaussian statistics
- Star-burst polymer with Gaussian statistics
- Regular comb polymer with Gaussian statistics
- Arbitrarily branched polymers with Gaussian statistics
- Sphere with Gaussian chains attached
- Ellipsoid with Gaussian chains attached
- Cylinder with Gaussian chains attached
- Supplementary Information of: Matthew R. Jones, Robert J. Macfarlane, Byeongdu Lee, Jian Zhang, Kaylie L. Young, Andrew J. Senesi, and Chad A. Mirkin "DNA-nanoparticle superlattices formed from anisotropic building blocks" Nature Materials 9, 913-917, 2010. doi: 10.1038/nmat2870
- Pyramid
- Cube
- Cylinder
- Octahedron
- Rhombic dodecahedron (RD)
- Triangular prism
- Other:
- This tutorial lists sphere, rod, disk, and Gaussian polymer coil.
- Block-Copolymer Micelles Scattering Form Factor of Block Copolymer Micelles Jan Skov Pedersen* and Michael C. Gerstenberg, Macromolecules, 1996, 29 (4), pp 1363–1365 DOI: 10.1021/ma9512115
- Capped cylinder Scattering from cylinders with globular end-caps. H. Kaya. J. Appl. Cryst. (2004). 37, 223-230 doi: 10.1107/S0021889804000020
- Lens-shaped disc Scattering from capped cylinders. Addendum. H. Kaya and N.-R. de Souza. J. Appl. Cryst. (2004). 37, 508-509 doi: 10.1107/S0021889804005709
