Universal analytical scattering form factor for shell-, core-shell, or homogeneous particles with continuously variable density profile shape

Journal of Physical Chemistry B

Volumn 115, Issue 34, 2011, Pages 10207-10217

  Foster, Tobias ^a  

^a UNIVERSITY OF COLOGNE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DIFFRACTIVE OPTICS; FOURIER TRANSFORMS; HYPERBOLIC FUNCTIONS; METADATA; SCATTERING; SHELLS (STRUCTURES);

ANALYTICAL FUNCTIONS; APPROXIMATE EXPRESSIONS; CORE-SHELL; CORE-SHELL PARTICLE; DENSITY DISTRIBUTION FUNCTIONS; DENSITY PROFILE; FERMI-DIRAC DISTRIBUTION FUNCTION; FORM FACTORS; GENERALIZED INVERSE; HYPERBOLIC PROFILES; MODEL FREE; PARTICLE DENSITIES; PARTICLE RADII; RADIAL DENSITY PROFILE; SHAPE PARAMETERS; SMALL-ANGLE SCATTERING; VARIABLE DENSITY; VARIABLE SHAPE;

DISTRIBUTION FUNCTIONS;

EID: 80052223398     PISSN: 15206106     EISSN: 15205207     Source Type: Journal    
DOI: 10.1021/jp204136b     Document Type: Article

References (75)

1. Higgins, J. S.; Benoit, H. C. Polymers and Neutron Scattering; Clarendon Press: Oxford, 1994; Vol. 8.
2. Neutrons, x-Rays and Light: Scattering Methods applied to Soft Condensed Matter; Lindner, P.; Zemb, T., Eds.; Elsevier Science B.V.: Amsterdam, 2002.
3. Pedersen, J. S. Adv. Colloid Interface Sci. 1997, 70, 171
4. Glatter, O. J. Appl. Crystallogr. 1977, 10, 415
5. BrunnerPopela, J.; Glatter, O. J. Appl. Crystallogr. 1997, 30, 431
6. Mittelbach, R.; Glatter, O. J. Appl. Crystallogr. 1998, 31, 600
7. Weyerich, B.; Brunner-Popela, J.; Glatter, O. J. Appl. Crystallogr. 1999, 32, 197
8. Fritz, G.; Glatter, O. J. Phys.: Condens. Matter 2006, 18, S2403
9. Rayleigh, L. Proc. R. Soc. London 1911, A84, 24
10. Kratky, O.; Porod, G. J. Colloid Sci. 1949, 4, 35
11. Guinier, A. Ann. Phys. 1939, 12, 161
12. Fournet, G. Bull. Soc. Fr. Mineral. Crist. 1951, 74, 39
13. Pedersen, J. S.; Schurtenberger, P. Macromolecules 1996, 29, 7602
14. Pedersen, J. S.; Schurtenberger, P. J. Appl. Crystallogr. 1996, 29, 646
15. Jerke, G.; Pedersen, J. S.; Egelhaaf, S. U.; Schurtenberger, P. Phys. Rev. E 1997, 56, 5772
16. Pedersen, J. S.; Laso, M.; Schurtenberger, P. Phys. Rev. E 1996, 54, R5917
17. Foster, T.; Safran, S. A.; Sottmann, T.; Strey, R. J. Chem. Phys. 2007, 127, 204711
18. Markovic, I.; Ottewill, R. H. Colloid Polym. Sci. 1986, 264, 65
19. Ottewill, R. H.; Sinagra, E.; Macdonald, I. P.; Marsh, J. F.; Heenan, R. K. Colloid Polym. Sci. 1992, 270, 602
20. Moonen, J.; Dekruif, C. G.; Vrij, A.; Bantle, S. Colloid Polym. Sci. 1988, 266, 836
21. Tabony, J. Mol. Phys. 1984, 51, 975
22. Hayter, J. B.; Penfold, J. J. Chem. Soc., Faraday Trans. I 1981, 77, 1851
23. Triolo, R.; Hayter, J. B.; Magid, L. J.; Johnson, J. S. J. Chem. Phys. 1983, 79, 1977
24. Zemb, T. N.; Barnes, I. S.; Derian, P.-J.; Ninham, B. W. Prog. Colloid Polym. Sci. 1990, 81, 20
25. Pedersen, J. S. Eur. Biophys. J. Biophys. Lett. 1993, 22, 79
26. Bauer, R.; Behan, M.; Clarke, D.; Hansen, S.; Jones, G.; Mortensen, K.; Pedersen, J. S. Eur. Biophys. J. Biophys. Lett. 1992, 21, 129
27. Pedersen, J. S.; Gerstenberg, M. C. Macromolecules 1996, 29, 1363
28. Pedersen, J. S.; Gerstenberg, M. C. Colloids Surf., A-Physicochem. Eng. Aspects 2003, 213, 175
29. Pedersen, J. S. J. Chem. Phys. 2001, 114, 2839
30. Pedersen, J. S.; Hamley, I. W.; Ryu, C. Y.; Lodge, T. P. Macromolecules 2000, 33, 542
31. Pedersen, J. S.; Svaneborg, C.; Almdal, K.; Hamley, I. W.; Young, R. N. Macromolecules 2003, 36, 416
32. Arleth, L.; Svensson, B.; Mortensen, K.; Pedersen, J. S.; Olsson, U. Langmuir 2007, 23, 2117
33. Won, Y. Y.; Davis, H. T.; Bates, F. S.; Agamalian, M.; Wignall, G. D. J. Phys. Chem. B 2000, 104, 7134
34. Poppe, A.; Willner, L.; Allgaier, J.; Stellbrink, J.; Richter, D. Macromolecules 1997, 30, 7462
35. Willner, L.; Poppe, A.; Allgaier, J.; Monkenbusch, M.; Lindner, P.; Richter, D. Europhys. Lett. 2000, 51, 628
36. Lund, R.; Willner, L.; Stellbrink, J.; Radulescu, A.; Richter, D. Macromolecules 2004, 37, 9984
37. Lund, R.; Willner, L.; Lindner, P.; Richtert, D. Macromolecules 2009, 42, 2686
38. Plestil, J. J. Appl. Crystallogr. 2000, 33, 600
39. Plestil, J.; Kriz, J.; Tuzar, Z.; Prochazka, K.; Melnichenko, Y. B.; Wignall, G. D.; Talingting, M. R.; Munk, P.; Webber, S. E. Macromol. Chem. Phys. 2001, 202, 553
40. Alexander, S. J. Phys. 1977, 38, 983
41. Degennes, P. G. J. Phys. 1976, 37, 1445
42. Daoud, M.; Cotton, J. P. J. Phys. 1982, 43, 531
43. Förster, S.; Burger, C. Macromolecules 1998, 31, 879
44. Förster, S.; Wenz, E.; Lindner, P. Phys. Rev. Lett. 1996, 77, 95
45. Nayeri, M.; Zackrisson, M.; Bergenholtz, J. J. Phys. Chem. B 2009, 113, 8296
46. Debye, P. J. Phys. Colloid Chem. 1947, 51, 18
47. Berndt, I.; Pedersen, J. S.; Lindner, P.; Richtering, W. Langmuir 2006, 22, 459
48. Berndt, I.; Pedersen, J. S.; Richtering, W. J. Am. Chem. Soc. 2005, 127, 9372
49. Berndt, I.; Pedersen, J. S.; Richtering, W. Angew. Chem., Int. Ed. 2006, 45, 1737
50. Svaneborg, C.; Pedersen, J. S. Macromolecules 2002, 35, 1028
51. Arleth, L.; Pedersen, J. S. Phys. Rev. E 2001, 63, 061406-1
52. Endo, H.; Mihailescu, M.; Monkenbusch, M.; Allgaier, J.; Gompper, G.; Richter, D.; Jakobs, B.; Sottmann, T.; Strey, R.; Grillo, I. J. Chem. Phys. 2001, 115, 580
53. Sottmann, T.; Strey, R.; Chen, S. H. J. Chem. Phys. 1997, 106, 6483
54. Strey, R.; Winkler, J.; Magid, L. J. Phys. Chem. 1991, 95, 7502
55. Gradzielski, M.; Langevin, D.; Magid, L.; Strey, R. J. Phys. Chem. 1995, 99, 13232
56. BaggerJorgensen, H.; Olsson, U.; Mortensen, K. Langmuir 1997, 13, 1413
57. Strey, R.; Glatter, O.; Schubert, K. V.; Kaler, E. W. J. Chem. Phys. 1996, 105, 1175
58. Brunner-Popela, J.; Mittelbach, R.; Strey, R.; Schubert, K. V.; Kaler, E. W.; Glatter, O. J. Chem. Phys. 1999, 110, 10623
59. Foster, T.; Sottmann, T.; Schweins, R.; Strey, R. J. Chem. Phys. 2008, 128, 054502
60. Foster, T.; Sottmann, T.; Schweins, R.; Strey, R. J. Chem. Phys. 2008, 128, 064902
61. Klostermann, M.; Foster, T.; Strey, R.; Sottmann, T.; Schweins, R.; Lindner, P.; Glatter, O. PCCP 2011, (submitted).
62. Sprung, D. W. L.; Martorell, J. J. Phys. A: Math. Gen. 1997, 30, 6525
63. Eldyshev, Y. N.; Lukanyov, V. N.; Pol, Y. S. Yad. Fiz. 1972, 16, 506
64. Burov, V. V.; Ivanyuk, F. A.; Konstantinov, B. D. Yad. Fiz. 1975, 22, 1142
65. Buck, B.; Pilt, A. A. Nuclear Phys. A 1977, 280, 133
66. Kotlarchyk, M.; Chen, S. H.; Huang, J. S.; Kim, M. W. Phys. Rev. A 1984, 29, 2054
67. Gradzielski, M.; Langevin, D.; Sottmann, T.; Strey, R. J. Chem. Phys. 1997, 106, 8232
68. Hellweg, T.; Langevin, D. Phys. Rev. E 1998, 57, 6825
69. Hellweg, T.; Brulet, A.; Sottmann, T. Phys. Chem. Chem. Phys. 2000, 2, 5168
70. Kittel, C. Introduction to solid state physics, 8 th ed.; Wiley: New York, 2005.
71. Schubert, K. V.; Strey, R. J. Chem. Phys. 1991, 95, 8532
72. Ruland, W. J. Appl. Crystallogr. 1971, 4, 70
73. Lee, D. D.; Chen, S. H. Phys. Rev. Lett. 1994, 73, 106
74. Milner, S. T.; Witten, T. A.; Cates, M. E. Europhys. Lett. 1988, 5, 413
75. Zhulina, E. B.; Borisov, O. V.; Priamitsyn, V. A. J. Colloid Interface Sci. 1990, 137, 495