Simple inversion formula for the small-angle X-ray scattering intensity from polydisperse systems of spheres

Journal of Applied Crystallography

Volumn 45, Issue 3, 2012, Pages 406-416

  Botet, Robert ^a   Cabane, Bernard ^b,c  

^a UNIVERSITÉ PARIS SUD   (France)

^b ESPCI   (France)

^c LUND UNIVERSITY   (Sweden)

Author keywords

colloidal dispersions; particle size distribution; small angle X ray scattering

Indexed keywords

AMOUNT OF INFORMATION; COLLOIDAL DISPERSION; DISTRIBUTION OF PARTICLES; INVERSION FORMULA; INVERSION METHODS; LARGE DEVIATIONS; MULTI-MODAL; POLYDISPERSE SYSTEMS; POROD LAW; POWER-LAW; SCATTERING SIGNALS; SCATTERING VECTORS; SMALL ANGLE X-RAY SCATTERING; SMALL PARTICLES; SMALL-ANGLE SCATTERING;

DISPERSIONS; PARTICLE SIZE ANALYSIS; SIZE DISTRIBUTION; X RAY SCATTERING;

SCATTERING;

EID: 84861494911     PISSN: 00218898     EISSN: 16005767     Source Type: Journal    
DOI: 10.1107/S0021889812012812     Document Type: Article

References (25)

1. Beaucage, G., Kammler, H. K. & Pratsinis, S. E. (2004). J. Appl. Cryst. 37, 523-535.
2. Brill, O. L. & Schmidt, P. W. (1968). J. Appl. Phys. 39, 2274-2281.
3. Fox, C. (1929). Proc. London Math. Soc. 29, 401-452.
4. Glatter, O. (1980). J. Appl. Cryst. 13, 7-11.
5. Goertz, V., Dingenouts, N. & Nirschl, H. (2009). Part. Part. Syst. Caract. 26, 17-24.
6. Hulst, H. van de (1957). Light Scattering by Small Particles. New York: J. Wiley and Sons.
7. Kinning, D. J. & Thomas, E. L. (1984). Macromolecules, 17, 1712-1717.
8. Kohlbrecher, J. (2009). Software Package SASfit for Fitting Small-Angle Scattering Curves, http://kur.web.psi.ch/sans1/SANSSoft/sasfit.html.
9. Koo, J. H. & Dan Hirleman, E. (1992). Appl. Opt. 31, 2130-2140.
10. Letcher, J. H. & Schmidt, P. W. (1966). J. Appl. Phys. 37, 649-655.
11. Mori, Y., Furukawa, M., Hayashi, T. & Nakamura, K. (2006). Part. Sci. Technol. 24, 97-103.
12. Pedersen, J. S. (1994). J. Appl. Cryst. 27, 595-608.
13. Pedersen, J. S. (2002). Neutrons, X-rays and Light: Scattering Methods Applied to Soft Condensed Matter, ch. 2, edited by P. Lindner & T. Zemb. Amsterdam: North Holland.
14. Potton, J. A., Daniell, G. J. & Rainford, B. D. (1988). J. Appl. Cryst. 21, 891-897.
15. Rami, M.-L., Meireles, M., Cabane, B. & Guizard, C. (2009). J. Am. Ceram. Soc. 92, S50-S56.
16. Riseman, J. (1952). Acta Cryst. 5, 193-196.
17. Roess, L. C. (1946). J. Chem. Phys. 14, 695-697.
18. Roess, L. C. & Schull, C. G. (1947). J. Appl. Phys. 18, 308-313.
19. Shifrin, K. S. & Kolmakov, I. B. (1967). Izv. USSR Acad. Sci. Atmos. Oceanic Phys. 3, 749-753.
20. Svergun, D. I., Semenyuk, A. V. & Feigin, L. A. (1988). Acta Cryst. A44, 244-250.
21. Svergun, D. I. & Koch, M. H. (2003). Rep. Prog. Phys. 66, 1735-1782.
22. Tatchev, D. & Kranold, R. (2004). J. Appl. Cryst. 37, 32-39.
23. Taupin, D. & Luzzati, V. (1982). J. Appl. Cryst. 15, 289-300.
24. Teixeira, J. (1985). On Growth and Form: Fractal and Non-Fractal Patterns in Physics, edited by H. E. Stanley & N. Ostrowsky, NATO ASI Series, Series E: Applied Sciences, No. 100, pp. 145-162. Dordrecht: Kluwer Academic Publishers.
25. Titchmarsh, E. C. (1924). Proc. London Math. Soc. 23, xxii-xxiv.