Indirect fourier transform and model fitting of small angle neutron scattering from silica nanoparticles

Particle and Particle Systems Characterization

Volumn 27, Issue 3-4, 2010, Pages 89-99

  Hould, Nathan ^a   Lobo, Raul ^a   Wagner, Norman ^a  

^a University of Delaware   (United States)

Author keywords

indirect Fourier transform; radial distribution function; silica nanoparticle; small angle neutron scattering

Indexed keywords

FORM FACTORS; FOURIER TRANSFORM METHOD; INTERACTING PARTICLES; INTERPARTICLE FORCE; LONG RANGE; MODEL FITTING; PARTICLE CONCENTRATIONS; POLYDISPERSE SPHERES; RADIAL DISTRIBUTION FUNCTIONS; ROBUST METHODS; SILICA NANOPARTICLE; SILICA NANOPARTICLES; SPHEROIDAL SILICA; STRUCTURE FACTORS;

APPROXIMATION THEORY; DISTRIBUTION FUNCTIONS; FOURIER TRANSFORMS; NANOPARTICLES; NEUTRONS; POLYDISPERSITY; SILICA;

NEUTRON SCATTERING;

EID: 81355154815     PISSN: 09340866     EISSN: 15214117     Source Type: Journal    
DOI: 10.1002/ppsc.201000006     Document Type: Article

References (34)

1. O. Glatter, O. Kratky, Small Angle X-ray Scattering. Academic Press, New York, 1982.
2. B. Hammouda, Probing nanoscale structures-The SANS toolbox, 2009.
3. O. Glatter, A New Method for the Evaluation of Small-Angle Scattering Data. J. Appl. Crystallography 1977, 10, 415-421.
4. P. Moore, Small-angle scattering. Information content and error analysis. J. Appl. Crystallography 1980, 13, 168-175.
5. R. Mittelbach, O. Glatter, Direct Structure Analysis of Small-Angle Scattering Data from Polydisperse Colloidal Particles. J. Appl. Crystallography 1998, 31, 600-608. (Pubitemid 128477523)
6. J. Brunner-Popela, O. Glatter, Small-Angle Scattering of Interacting Particles. I. Basic Principles of a Global Evaluation Technique. J. Appl. Crystallography 1997, 30, 431-442. (Pubitemid 127477035)
7. G. Fritz, A. Bergmann, O. Glatter, Evaluation of small-angle scattering data of charged particles using the generalized indirect Fourier transformation technique. J. Chem. Phys. 2000, 113, 9733-9740. (Pubitemid 32085154)
8. G. Fritz, O. Glatter, Structure and interaction in dense colloidal systems: evaluation of scattering data by the generalized indirect Fourier transformation method. J. Phys. Condens. Matter 2006, 18, S2403-S2419. (Pubitemid 44424486)
9. J. B. Hayter, J. Penfold, An analytic structure factor for macroion solutions. Mol. Phys. 1981, 42, 109-118.
10. J.-P. Hansen, J. B. Hayter, A rescaled MSA structure factor for dilute charged colloidal dispersions. Mol. Phys. 1982, 46, 651-656.
11. M. Kotlarchyk, S.-H. Chen, Analysis of small angle neutron scattering spectra from polydisperse interacting colloids. J. Chem. Phys. 1983, 79, 2461-2469.
12. L. Yun, C. Wei-Ren, C. Sow-Hsin, Cluster formation in two-Yukawa fluids. J. Chem. Phys. 2005, 122, 044507.
13. G. Fritz, Determination of pair correlation functions of dense colloidal systems by means of indirect Fourier transformation. J. Chem. Phys. 2006, 124, 6.
14. G. Fritz-Popovski, Determination of colloidal interaction potentials from small angle scattering data. J. Chem. Phys. 2009, 131, 6.
15. C. J. Glinka, J. G. Barker, B. Hammouda, S. Krueger, J. J. Moyer, W. J. Orts, The 30 m Small-Angle Neutron Scattering Instruments at the National Institute of Standards and Technology. J. Appl. Crystallography 1998, 31, 430-445. (Pubitemid 128476025)
16. B. Hammouda, S. Krueger, C. J. Glinka, Small-Angle Neutron Scattering at the National-Institute-of-Standards-and-Technology. J. Res. Natl. Inst. Stand. Technol. 1993, 98, 31-46.
17. Y. T. Cheng, D. F. R. Mildner, H. H. Chen-Mayer, V. A. Sharov, C. J. Glinka, An imaging-plate detector for small-angle neutron scattering. J. Appl. Crystallography 2000, 33, 1253-1261. (Pubitemid 32120471)
18. P. Dumas, R. Ripp, A real-time interactive graphics program to determine crystal orientation for the analysis of oscillation diffraction photographs. J. Appl. Crystallography 1986, 19, 28-33. (Pubitemid 16522700)
19. J. S. Pedersen, Analysis of small-angle scattering data from colloids and polymer solutions: modeling and least squares fitting. Adv. Colloid Interface Sci. 1997, 70, 171-210. (Pubitemid 127403556)
20. T. N. E. Greville, Theory and Applications of Spline Functions. Academic Press, New York, 1969.
21. J. Schelten, F. Hossfeld, Application of spline functions to the correction of resolution errors in small-angle scattering. J. Appl. Crystallography 1971, 4, 210-223.
22. S. R. Kline, Reduction and analysis of SANS and USANS data using IGOR Pro. J. Appl. Crystallography 2006, 39, 895-900. (Pubitemid 44786289)
23. J. G. Barker, J. S. Pedersen, Instrumental Smearing Effects in Radially Symmetric Small-Angle Neutron Scattering by Numerical and Analytical Methods. J. Appl. Crystallography 1995, 28, 105-114.
24. G. V. Schulz, The kinetics of chain polymerisation V. The influence of various types of reactions on the poly-molecularity. Z. Phys. Chem. B-Chem. Elem. Aufbau. Mater. 1939, 43, 25-46.
25. N. J. Wagner, R. Krause, A. R. Rennie, B. D'Aguanno, J. Goodwin, The microstructure of polydisperse, charged colloidal suspensions by light and neutron scattering. J. Chem. Phys. 1991, 95, 494-508.
26. W. L. Griffith, R. Triolo, A. L. Compere, Analytical scattering function of a polydisperse Percus-Yevick fluid with Schulz- (Gamma-) distributed diameters. Phys. Rev. A. 1987, 35, 2200.
27. V. Goertz, N. Dingenouts, H. Nirschl, Comparison of Nanometric Particle Size Distributions as Determined by SAXS, TEM and Analytical Ultracentrifuge. Part. Part. Syst. Charac. 2009, 26, 17-24.
28. S. R. Kline, E. W. Kaler, Interactions in binary mixtures: Partial structure factors in mixtures of sodium dodecyl sulfate micelles and colloidal silica. J. Chem. Phys. 1996, 105, 3813-3822. (Pubitemid 126747750)
29. J. A. Lake, An Iterative Method of Slit-Correcting Small Angle X-Ray Data. Acta Crystallogr. 1967, 23, 191.
30. P. C. Hiemenz, R. Rajagopalan, Principles of Colloid and Surface Chemistry 3rd Edition. revised and expanded ed., Marcel Dekker, Inc., New York, 1997.
31. S. Hansen, Simultaneous estimation of the form factor and structure factor for globular particles in small-angle scattering. J. Appl. Crystallography 2008, 41, 436-445. (Pubitemid 351398221)
32. E. Kaler, Small-angle scattering from colloidal dispersions. J. Appl. Crystallography 1988, 21, 729-736.
33. J. S. Hoye, L. Blum, Solution of Yukawa Closure of Ornstein-Zernike Equation. J. Statistical Phys. 1977, 16, 399-413.
34. F. Zernike, J. A. Prins, Die Beugung von Röntgenstrahlen in Flüssigkeiten als Effekt der Molekülanordnung. Z. Physik. 1927, 41, 184-194.