Difference between revisions of "Form Factor"

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* [[Form Factor:Sphere|Sphere]]
 
* [[Form Factor:Sphere|Sphere]]
 
* [[Form Factor:Cube|Cube]]
 
* [[Form Factor:Cube|Cube]]
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==Published form factors==
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The following is a partial list of form factors that have been published in the literature:
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* [http://www.ncnr.nist.gov/resources/old_applets/index.html NCNR SANS solution form factors]:
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** [http://www.ncnr.nist.gov/resources/old_applets/sansmodels/Sphere.html Sphere]
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** [http://www.ncnr.nist.gov/resources/old_applets/sansmodels/PolyHardSphere.html PolyHardSphere]
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** [http://www.ncnr.nist.gov/resources/old_applets/sansmodels/PolyRectSphere.html PolyRectSphere]
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** [http://www.ncnr.nist.gov/resources/old_applets/sansmodels/CoreShell.html CoreShell]
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** [http://www.ncnr.nist.gov/resources/old_applets/sansmodels/PolyCoreShell.html PolyCoreShell]
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** [http://www.ncnr.nist.gov/resources/old_applets/sansmodels/PolyCoreShellRatio.html PolyCoreShellRatio]
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** [http://www.ncnr.nist.gov/resources/old_applets/sansmodels/Cylinder.html Cylinder]
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** [http://www.ncnr.nist.gov/resources/old_applets/sansmodels/HollowCylinder.html HollowCylinder]
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** [http://www.ncnr.nist.gov/resources/old_applets/sansmodels/CoreShellCylinder.html CoreShellCylinder]
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** [http://www.ncnr.nist.gov/resources/old_applets/sansmodels/Ellipsoid.html Ellipsoid]
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** [http://www.ncnr.nist.gov/resources/old_applets/sansmodels/OblateCoreShell.html OblateCoreShell]
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** [http://www.ncnr.nist.gov/resources/old_applets/sansmodels/ProlateCoreShell.html ProlateCoreShell]
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** [http://www.ncnr.nist.gov/resources/old_applets/sansmodels/TwoHomopolymerRPA.html TwoHomopolymerRPA]
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** [http://www.ncnr.nist.gov/resources/old_applets/sansmodels/DAB.html DAB]
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** [http://www.ncnr.nist.gov/resources/old_applets/sansmodels/TeubnerStrey.html TeubnerStrey]
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** [http://www.ncnr.nist.gov/resources/old_applets/sansmodels/Lorentz.html Lorentz]
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** [http://www.ncnr.nist.gov/resources/old_applets/sansmodels/PeakLorentz.html PeakLorentz]
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** [http://www.ncnr.nist.gov/resources/old_applets/sansmodels/PeakGauss.html PeakGauss]
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** [http://www.ncnr.nist.gov/resources/old_applets/sansmodels/PowerLaw.html PowerLaw]
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** [http://www.ncnr.nist.gov/resources/old_applets/sansmodels/BE_RPA.html BE_RPA]
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* Literature:
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** '''Block-Copolymer Micelles''' [http://pubs.acs.org/doi/abs/10.1021/ma9512115 Scattering Form Factor of Block Copolymer Micelles] Jan Skov Pedersen* and Michael C. Gerstenberg, Macromolecules, 1996, 29 (4), pp 1363–1365 [http://dx.doi.org/10.1021/ma9512115 DOI: 10.1021/ma9512115]
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** '''Capped cylinder''' [http://scripts.iucr.org/cgi-bin/paper?S0021889804000020 Scattering from cylinders with globular end-caps]. H. Kaya. J. Appl. Cryst. (2004). 37, 223-230 [http://dx.doi.org/10.1107/S0021889804000020 doi: 10.1107/S0021889804000020]
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** '''Lens-shaped disc''' [http://scripts.iucr.org/cgi-bin/paper?aj5016 Scattering from capped cylinders. Addendum.] H. Kaya and N.-R. de Souza. J. Appl. Cryst. (2004). 37, 508-509 [http://dx.doi.org/10.1107/S0021889804005709 doi: 10.1107/S0021889804005709 ]
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* [http://ln-www.insp.upmc.fr/axe4/Oxydes/IsGISAXS/figures/doc/manual.html IsGISAXS, Born form factors] (see also Gilles Renaud, Rémi Lazzari,Frédéric Leroy "[http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TVY-4X36TK4-1&_user=2422869&_coverDate=08%2F31%2F2009&_rdoc=1&_fmt=high&_orig=gateway&_origin=gateway&_sort=d&_docanchor=&view=c&_searchStrId=1702575836&_rerunOrigin=google&_acct=C000057228&_version=1&_urlVersion=0&_userid=2422869&md5=d5f357bfcbf9a39bb8e42cfeac555359&searchtype=a Probing surface and interface morphology with Grazing Incidence Small Angle X-Ray Scattering]" Surface Science Reports, 64 (8), 31 August 2009, 255-380 [http://dx.doi.org/10.1016/j.surfrep.2009.07.002 doi:10.1016/j.surfrep.2009.07.002]):
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** Parallelepiped
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** Pyramid
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** Cylinder
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** Cone
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** Prism 3
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** Tetrahedron
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** Prism 6
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** cone 6
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** Sphere
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** Cubooctahedron
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** Facetted sphere
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** Full sphere
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** Full spheroid
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** Box
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** Anisotropic pyramid
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** Hemi-ellipsoid
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* [http://scripts.iucr.org/cgi-bin/paper?S0021889811011691 Scattering functions of Platonic solids] Xin Li, Roger Pynn, Wei-Ren Chen, et al. Journal of Applied Crystallography 2011, 44, p.1 [http://dx.doi.org/10.1107/S0021889811011691 doi:10.1107/S0021889811011691]
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*# Tetrahedron
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*# Hexahedron (cube, parallelepiped, etc.)
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*# Octahedron
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*# Dodecahedron
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*# Icosahedron
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* Pedersen Review: [http://linkinghub.elsevier.com/retrieve/pii/S0001868697003126 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. [http://dx.doi.org/10.1016/S0001-8686(97)00312-6 doi: 10.1016/S0001-8686(97)00312-6]
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*# Homogeneous sphere
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*# Spherical shell
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*# Spherical concentric shells
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*# Particles consisting of spherical subunits
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*# Ellipsoid of revolution
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*# Tri-axial ellipsoid
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*# Cube and rectangular parallelepipedons
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*# Truncated octahedra
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*# Faceted sphere
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*# Cube with terraces
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*# Cylinder
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*# Cylinder with elliptical cross section
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*# Cylinder with spherical end-caps
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*# Infinitely thin rod
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*# Infinitely thin circular disk
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*# Fractal aggregates
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*# Flexible polymers with Gaussian statistics
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*# Flexible self-avoiding polymers
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*# Semi-flexible polymers without self-avoidance
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*# Semi-flexible polymers with self-avoidance
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*# Star polymer with Gaussian statistics
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*# Star-burst polymer with Gaussian statistics
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*# Regular comb polymer with Gaussian statistics
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*# Arbitrarily branched polymers with Gaussian statistics
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*# Sphere with Gaussian chains attached
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*# Ellipsoid with Gaussian chains attached
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*# Cylinder with Gaussian chains attached
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* [http://www.nature.com/nmat/journal/v9/n11/extref/nmat2870-s1.pdf Supplementary Information] of: Matthew R. Jones, Robert J. Macfarlane, Byeongdu Lee, Jian Zhang, Kaylie L. Young, Andrew J. Senesi, and Chad A. Mirkin "[http://www.nature.com/nmat/journal/v9/n11/full/nmat2870.html DNA-nanoparticle superlattices formed from anisotropic building blocks]" Nature Materials '''9''', 913-917, '''2010'''. [http://dx.doi.org/10.1038/nmat2870 doi: 10.1038/nmat2870]
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*# Pyramid
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*# Cube
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*# Cylinder
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*# Octahedron
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*# Rhombic dodecahedron (RD)
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*# Triangular prism
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* Other:
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** [http://www.eng.uc.edu/~gbeaucag/Classes/Analysis/Chapter8.html Tutorial] lists sphere, rod, disk, and Gaussian polymer coil.

Revision as of 17:19, 3 June 2014

The Form Factor is the scattering which results from the shape of a particle.

Form Factors


Published form factors

The following is a partial list of form factors that have been published in the literature:

  • 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
    1. Homogeneous sphere
    2. Spherical shell
    3. Spherical concentric shells
    4. Particles consisting of spherical subunits
    5. Ellipsoid of revolution
    6. Tri-axial ellipsoid
    7. Cube and rectangular parallelepipedons
    8. Truncated octahedra
    9. Faceted sphere
    10. Cube with terraces
    11. Cylinder
    12. Cylinder with elliptical cross section
    13. Cylinder with spherical end-caps
    14. Infinitely thin rod
    15. Infinitely thin circular disk
    16. Fractal aggregates
    17. Flexible polymers with Gaussian statistics
    18. Flexible self-avoiding polymers
    19. Semi-flexible polymers without self-avoidance
    20. Semi-flexible polymers with self-avoidance
    21. Star polymer with Gaussian statistics
    22. Star-burst polymer with Gaussian statistics
    23. Regular comb polymer with Gaussian statistics
    24. Arbitrarily branched polymers with Gaussian statistics
    25. Sphere with Gaussian chains attached
    26. Ellipsoid with Gaussian chains attached
    27. Cylinder with Gaussian chains attached
  • Other:
    • Tutorial lists sphere, rod, disk, and Gaussian polymer coil.
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