Form Factor - Revision history

KevinYager: /* Specific form factors */

2022-03-25T15:45:02Z

‎Specific form factors

KevinYager: /* Specific form factors */

2022-03-25T15:44:32Z

‎Specific form factors

KevinYager: /* Specific form factors */

2022-03-25T15:44:11Z

‎Specific form factors

JoachimWuttke: /* Form Factor Equations in the Literature */ merge lists on polyhedra

2020-05-11T14:16:15Z

‎Form Factor Equations in the Literature: merge lists on polyhedra

JoachimWuttke: /* Reviews/summaries of form factors */ + papers on polyhedral form factor

2020-05-11T14:11:55Z

‎Reviews/summaries of form factors: + papers on polyhedral form factor

JoachimWuttke: /* Form Factor Equations in the Literature */ BornAgain has all IsGisaxs form factors, plus some more

2020-05-11T13:52:44Z

‎Form Factor Equations in the Literature: BornAgain has all IsGisaxs form factors, plus some more

KevinYager: /* Specific form factors */

2018-07-03T12:07:04Z

‎Specific form factors

KevinYager: /* See Also */

2018-06-28T19:22:56Z

‎See Also

KevinYager: /* Form factors for classes of geometric shapes */

2017-08-24T18:58:53Z

‎Form factors for classes of geometric shapes

KevinYager: /* Form Factor Equations in the Literature */

2017-08-24T18:56:39Z

‎Form Factor Equations in the Literature

@@ Line 171: / Line 171: @@
 ** Takuro Matsunaga, Takamasa Sakai, Yuki Akagi, Ung-il Chung and Mitsuhiro Shibayama [http://pubs.acs.org/doi/abs/10.1021/ma901013q SANS and SLS Studies on Tetra-Arm PEG Gels in As-Prepared and Swollen States] ''Macromolecules'' '''2009''', 42 (16), 6245–6252. [http://dx.doi.org/10.1021/ma901013q doi: 10.1021/ma901013q]
 ** X. Li, C. Do, Y. Liu, L. Sánchez-Diáz, G. Smith and W.-R. Chen [http://scripts.iucr.org/cgi-bin/paper?fs5081 A scattering function of star polymers including excluded volume effects] ''J. Appl. Cryst.'' '''2014''', 47 [http://dx.doi.org/10.1107/S1600576714022249 doi: 10.1107/S1600576714022249]
-** [https://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.012602 Determination of the interaction parameter and topological scaling features of symmetric star polymers in dilute solution] ''Phys. Rev. E'' '''2015''', 012602. [https://doi.org/10.1103/PhysRevE.92.012602 doi: 10.1103/PhysRevE.92.012602]
+** Durgesh K. Rai, Gregory Beaucage, Kedar Ratkanthwar, Peter Beaucage, Ramnath Ramachandran, and Nikos Hadjichristidis [https://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.012602 Determination of the interaction parameter and topological scaling features of symmetric star polymers in dilute solution] ''Phys. Rev. E'' '''2015''', 012602. [https://doi.org/10.1103/PhysRevE.92.012602 doi: 10.1103/PhysRevE.92.012602]
 * '''Cylinders vs. ribbons in solution''': Y. Su, C. Burger, B. S. Hsiao and B. Chu [http://journals.iucr.org/j/issues/2014/02/00/fs5073/stdsup.html Characterization of TEMPO-oxidized cellulose nanofibers in aqueous suspension by small-angle X-ray scattering] ''J. Appl. Cryst. '''2014''', 47, 788. [http://dx.doi.org/10.1107/S1600576714005020 doi: 10.1107/S1600576714005020]
 * '''Hollow cylinders''': Kun Lu , Jaby Jacob , Pappannan Thiyagarajan , Vincent P. Conticello , and David G. Lynn [http://pubs.acs.org/doi/full/10.1021/ja0341642 Exploiting Amyloid Fibril Lamination for Nanotube Self-Assembly] ''J. Am. Chem. Soc.'' '''2003''', 125 (21), 6391–6393. [http://dx.doi.org/10.1021/ja0341642 doi: 10.1021/ja0341642]

@@ Line 172: / Line 172: @@
 ** X. Li, C. Do, Y. Liu, L. Sánchez-Diáz, G. Smith and W.-R. Chen [http://scripts.iucr.org/cgi-bin/paper?fs5081 A scattering function of star polymers including excluded volume effects] ''J. Appl. Cryst.'' '''2014''', 47 [http://dx.doi.org/10.1107/S1600576714022249 doi: 10.1107/S1600576714022249]
 ** [https://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.012602 Determination of the interaction parameter and topological scaling features of symmetric star polymers in dilute solution] ''Phys. Rev. E'' '''2015''', 012602. [https://doi.org/10.1103/PhysRevE.92.012602 doi: 10.1103/PhysRevE.92.012602]
 * '''Cylinders vs. ribbons in solution''': Y. Su, C. Burger, B. S. Hsiao and B. Chu [http://journals.iucr.org/j/issues/2014/02/00/fs5073/stdsup.html Characterization of TEMPO-oxidized cellulose nanofibers in aqueous suspension by small-angle X-ray scattering] ''J. Appl. Cryst. '''2014''', 47, 788. [http://dx.doi.org/10.1107/S1600576714005020 doi: 10.1107/S1600576714005020]
 * '''Hollow cylinders''': Kun Lu , Jaby Jacob , Pappannan Thiyagarajan , Vincent P. Conticello , and David G. Lynn [http://pubs.acs.org/doi/full/10.1021/ja0341642 Exploiting Amyloid Fibril Lamination for Nanotube Self-Assembly] ''J. Am. Chem. Soc.'' '''2003''', 125 (21), 6391–6393. [http://dx.doi.org/10.1021/ja0341642 doi: 10.1021/ja0341642]

@@ Line 165: / Line 165: @@
 * '''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]
 * '''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 ]
-* '''Star polymer''': [http://scripts.iucr.org/cgi-bin/paper?fs5081 A scattering function of star polymers including excluded volume effects] X. Li, C. Do, Y. Liu, L. Sánchez-Diáz, G. Smith and W.-R. Chen J. Appl. Cryst. (2014). 47 [http://dx.doi.org/10.1107/S1600576714022249 doi: 10.1107/S1600576714022249]
+* '''Star polymer:'''
 ** Benoit, H. [http://onlinelibrary.wiley.com/doi/10.1002/pol.1953.120110512/abstract On the effect of branching and polydispersity on the angular distribution of the light scattered by gaussian coils] ''J. Polym. Sci.'' '''1953''', 11, 507–510. [http://dx.doi.org/10.1002/pol.1953.120110512 doi: 10.1002/pol.1953.120110512]
 ** Richter, D.; Farago, B.; Huang, J. S.; Fetters, L. J.; Ewen, B. [http://pubs.acs.org/doi/abs/10.1021/ma00191a085 A study of single-arm relaxation in a polystyrene star polymer by neutron spin echo spectroscopy] ''Macromoleules'' '''1989''', 22, 468–472. [http://dx.doi.org/10.1021/ma00191a085 doi: 10.1021/ma00191a085]
 ** L. Willner, O. Jucknischke, D. Richter, J. Roovers, L.-L. Zhou, P. M. Toporowski, L. J. Fetters, J. S. Huang, M. Y. Lin, N. Hadjichristidis [http://pubs.acs.org/doi/abs/10.1021/ma00092a022 Structural Investigation of Star Polymers in Solution by Small-Angle Neutron Scattering] ''Macromolecules'' '''1994''', 27 (14), 3821–3829. [http://dx.doi.org/10.1021/ma00092a022 doi: 10.1021/ma00092a022]
 ** Takuro Matsunaga, Takamasa Sakai, Yuki Akagi, Ung-il Chung and Mitsuhiro Shibayama [http://pubs.acs.org/doi/abs/10.1021/ma901013q SANS and SLS Studies on Tetra-Arm PEG Gels in As-Prepared and Swollen States] ''Macromolecules'' '''2009''', 42 (16), 6245–6252. [http://dx.doi.org/10.1021/ma901013q doi: 10.1021/ma901013q]
 * '''Cylinders vs. ribbons in solution''': Y. Su, C. Burger, B. S. Hsiao and B. Chu [http://journals.iucr.org/j/issues/2014/02/00/fs5073/stdsup.html Characterization of TEMPO-oxidized cellulose nanofibers in aqueous suspension by small-angle X-ray scattering] ''J. Appl. Cryst. '''2014''', 47, 788. [http://dx.doi.org/10.1107/S1600576714005020 doi: 10.1107/S1600576714005020]
 * '''Hollow cylinders''': Kun Lu , Jaby Jacob , Pappannan Thiyagarajan , Vincent P. Conticello , and David G. Lynn [http://pubs.acs.org/doi/full/10.1021/ja0341642 Exploiting Amyloid Fibril Lamination for Nanotube Self-Assembly] ''J. Am. Chem. Soc.'' '''2003''', 125 (21), 6391–6393. [http://dx.doi.org/10.1021/ja0341642 doi: 10.1021/ja0341642]

@@ Line 108: / Line 108: @@
 *** Gaussian ellipsoid
 *** Ornstein-Zernike
 * 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]
@@ Line 159: / Line 154: @@
 *# Icosahedron
-* '''Polyhedra''': [http://scripts.iucr.org/cgi-bin/paper?fs5152 Form factor of any polyhedron: a general compact formula and its singularities] B. Croset ''Journal of Applied Crystallography'' '''2017'''. [https://doi.org/10.1107/S1600576717010147 doi: 10.1107/S1600576717010147]
+* '''Polyhedra''':
 ===Specific form factors===

@@ Line 109: / Line 109: @@
 *** Ornstein-Zernike
-* [http://scripts.iucr.org/cgi-bin/paper?aj5251 Scattering functions of polyhedra] A. Senesi and B. Lee ''J. Appl. Cryst.'' '''2015''', 48, 565-577. [http://dx.doi.org/10.1107/S1600576715002964 doi: 10.1107/S1600576715002964]
+* Polyhedra:
 * 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]

@@ Line 97: / Line 97: @@
 ** Anisotropic pyramid
 ** Hemi-ellipsoid
 * [http://scripts.iucr.org/cgi-bin/paper?aj5251 Scattering functions of polyhedra] A. Senesi and B. Lee ''J. Appl. Cryst.'' '''2015''', 48, 565-577. [http://dx.doi.org/10.1107/S1600576715002964 doi: 10.1107/S1600576715002964]

@@ Line 161: / Line 161: @@
 * '''Hollow cylinders''': Kun Lu , Jaby Jacob , Pappannan Thiyagarajan , Vincent P. Conticello , and David G. Lynn [http://pubs.acs.org/doi/full/10.1021/ja0341642 Exploiting Amyloid Fibril Lamination for Nanotube Self-Assembly] ''J. Am. Chem. Soc.'' '''2003''', 125 (21), 6391–6393. [http://dx.doi.org/10.1021/ja0341642 doi: 10.1021/ja0341642]
 * '''Amino acids''': D. Tong, S. Yang and L. Lu [http://scripts.iucr.org/cgi-bin/paper?vg5046 Accurate optimization of amino acid form factors for computing small-angle X-ray scattering intensity of atomistic protein structures] ''J. Appl. Cryst.'' '''2016''', 49. [http://dx.doi.org/10.1107/S1600576716007962 doi: 10.1107/S1600576716007962]
 ==See Also==

← Older revision		Revision as of 19:22, 28 June 2018
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	* M. Burian, G. Fritz-Popovski, M. He, M. V. Kovalenko, O. Paris and R. T. Lechner [http://scripts.iucr.org/cgi-bin/paper?vg5016 Considerations on the model-free shape retrieval of inorganic nanocrystals from small-angle scattering data] ''J. Appl. Cryst.'' '''2015''', 48, 857-868. [http://dx.doi.org/10.1107/S1600576715006846 10.1107/S1600576715006846]		* M. Burian, G. Fritz-Popovski, M. He, M. V. Kovalenko, O. Paris and R. T. Lechner [http://scripts.iucr.org/cgi-bin/paper?vg5016 Considerations on the model-free shape retrieval of inorganic nanocrystals from small-angle scattering data] ''J. Appl. Cryst.'' '''2015''', 48, 857-868. [http://dx.doi.org/10.1107/S1600576715006846 10.1107/S1600576715006846]
	* R. A. X. Persson and J. Bergenholtz [http://scripts.iucr.org/cgi-bin/paper?po5072 Efficient computation of the scattering intensity from systems of nonspherical particles] ''J. Appl. Cryst.'' '''2016''', 49 [http://dx.doi.org/10.1107/S1600576716011481 doi:10.1107/S1600576716011481]		* R. A. X. Persson and J. Bergenholtz [http://scripts.iucr.org/cgi-bin/paper?po5072 Efficient computation of the scattering intensity from systems of nonspherical particles] ''J. Appl. Cryst.'' '''2016''', 49 [http://dx.doi.org/10.1107/S1600576716011481 doi:10.1107/S1600576716011481]
		+	* Bernard Croseta [http://scripts.iucr.org/cgi-bin/paper?fs5161 Form factor of rounded objects: the sections method] ''J. Appl. Cryst.'' '''2018''' [https://doi.org/10.1107/S1600576718007239 doi: 10.1107/S1600576718007239]

@@ Line 138: / Line 138: @@
 ===Form factors for classes of geometric shapes===
-* '''Platonic solids''': [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]
+* '''Platonic solids''': [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]
 *# Tetrahedron
 *# Hexahedron (cube, parallelepiped, etc.)
@@ Line 145: / Line 145: @@
 *# Icosahedron
-* '''Polyhedra''': [http://scripts.iucr.org/cgi-bin/paper?fs5152 Form factor of any polyhedron: a general compact formula and its singularities] B. Croset Journal of Applied Crystallography 2017. [https://doi.org/10.1107/S1600576717010147 doi: 10.1107/S1600576717010147]
+* '''Polyhedra''': [http://scripts.iucr.org/cgi-bin/paper?fs5152 Form factor of any polyhedron: a general compact formula and its singularities] B. Croset ''Journal of Applied Crystallography'' '''2017'''. [https://doi.org/10.1107/S1600576717010147 doi: 10.1107/S1600576717010147]
 ===Specific form factors===