Synchrotron SAXS 〈in situ〉 identification of three different size modes for soot nanoparticles in a diffusion flame

Stasio, S. di; Mitchell, James B.; LeGarrec, J L; Biennier, Ludovic; Wulff, Michaël

doi:10.1016/j.carbon.2005.10.042

Cited by 69 publications

(71 citation statements)

References 61 publications

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“…5 shows other parameters that can be extracted from the Unified Fitting Function and these are the Porod's exponents (p 1 and p 2 ) of the power-laws describing the behaviour of the scattering intensity at the upper q range of the various size levels. In particular, as described in our previous work [14][15][16]34] the primary particles constituting fractal soot are, in turn, agglomerates of smaller sub-primary particles. In the two-level fitting approach, the Porod exponent p 2 is relative to lower q 0 s (primaries) and p 1 to higher q 0 s (sub-primaries).…”

Section: Resultsmentioning

confidence: 56%

“…We and others have recently used Small Angle X-ray Scattering (SAXS) [14][15][16][17][18][19][20][21][22][23] and Small Angle Neutron Scattering (SANS) [24,25] techniques to study in situ the size and distribution of soot particles in diffusion flames. In an extension of our work, we have investigated the change in the size and number of soot particles that occurs when water is injected into an ethylene flame.…”

Section: Introductionmentioning

confidence: 99%

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Synchrotron radiation studies of additives in combustion I: Water

Mitchell

Stasio

LeGarrec

et al. 2010

Nuclear Instruments and Methods in Physics Research Section B:

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Section: Resultsmentioning

confidence: 56%

Section: Introductionmentioning

confidence: 99%

Synchrotron radiation studies of additives in combustion I: Water

Mitchell

Stasio

LeGarrec

et al. 2010

Nuclear Instruments and Methods in Physics Research Section B:

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“…Thus it can be applied to model the system's structural features starting from the smallest structural level, such as a nanoparticle towards clusters of particles up to the macro-scale. It was applied successfully in transmission scattering geometry to several particle systems [30][31][32]. In addition, it was also applied to scattering from soft matter systems [29,33,34].…”

Section: Unified Exponential/power-law Fit Modelmentioning

confidence: 99%

Global scattering functions: a tool for grazing incidence small angle X-ray scattering (GISAXS) data analysis of low correlated lateral structures

Lenz

Bonini

Nett

et al. 2010

Eur. Phys. J. Appl. Phys.

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Abstract. In this article we discuss the applicability of global scattering functions for structure analysis of Grazing Incidence Small Angle X-ray Scattering (GISAXS) data. Contrary to rigorous analysis of the full 2-D detector image, which can be performed with complex simulation models, the global scattering functions described here will be used to model transverse detector scans in the q reciprocal scattering planes. In contrast to a full GISAXS analysis, this procedure cannot explain structural features perpendicular to the sample plane. The discussed method is useful for the analysis of weakly correlated films. These films are e.g. found in polymer inorganic composite materials based on commercially available nanoparticles. In hybrid material systems polydisperse structures, including particle aggregates without precisely defined shape are formed. The pictured approach, which models scattering in terms of structural levels, has been previously applied with success in conventional transmission SAXS geometry. It is based on conventional exponential and power laws. Hence, data analysis becomes less complex compared to simulation approaches. Here we examine if this unified fitting model can be used to model diffuse, non specular scattering resulting from GISAXS. In this context the applicability and limit of its application to diffuse scattering in the GISAXS geometry is discussed. Furthermore diffuse q scattering from different ideal particle types is simulated and compared with fitted results. To verify our approach, fit results from experimental GISAXS curves obtained for real samples are compared with results from Scanning Probe Microscopy and Scanning Electron Microscopy studies. The samples investigated range from evaporated Au films to hybrid TiO2/polymer films and demonstrate the usefulness in the structural analysis of complex films.

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“…Twomey [10] was the first to do this by developing his own linear and then iterative regularization techniques; the latter technique was consequently improved by Markowski [11]. More recently di Satsio et al [12] used Tikhonov regularization [13] to recover soot primary particle size distributions from small angle X-ray scattering data.…”

Section: Introductionmentioning

confidence: 99%