Approximation for the light scattering cross-section of optically hard aggregates

Lagarrigue, Marthe; Jacquier, Sandra; Debayle, Johan; Pinoli, Jean‐Charles; Gruy, Frédéric

doi:10.1016/j.jqsrt.2012.02.019

Cited by 6 publications

(3 citation statements)

References 31 publications

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“…Lagarrigue et al. published a significantly faster approximation for

{C}_{\mathrm{s}}

(see Equation ) for aggregates consisting of optically hard PPs 43 . Still, their approach did not cover

g

(see Equation ).…”

Section: Resultsmentioning

confidence: 99%

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Effect of alkali metal salt addition on disintegration of titania particles precipitated from tetraethyl orthotitanate in ethanol

Zimmermann,

Koenig,

Reich

et al. 2024

Int J Ceramic Engine & Sci

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Inline (or in situ) photon density wave spectroscopy was used to monitor the disintegration of secondary titania particles into their primary particles. Photon density wave spectroscopy can be applied to determine the reduced scattering coefficient of a dispersion without dilution or calibration, and thus enables process analysis in materials that are usually unsuitable for established particle characterization techniques. In this work, amorphous titania particles were precipitated from tetraethyl orthotitanate in ethanol by addition of water in presence of different alkali metal salts (NaCl, KCl, CsCl, K2SO4) with concentrations between 0 and 1.6 mM. The present results suggest that the synthesized titania secondary particles disintegrate into their primary particles if the electrostatic repulsion between the primary particles is promoted. This can be achieved by an increased alkali chloride concentration in the synthesis or by addition of larger alkali metal ions. In contrast, the particles are only weakly charged upon addition of sulfate ions, and the disintegration stops. The conclusions drawn from photon density wave spectroscopy results are supported by gravimetric determination of the particle yield, dynamic light scattering measurements, zeta‐potential measurements, and electron micrographs. Additionally, the disintegration was driven to completion by addition of hydrochloric acid to create a transparent suspension of titania primary particles as small as 4.7 nm.

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“…Lagarrigue et al. published a significantly faster approximation for

{C}_{\mathrm{s}}

(see Equation ) for aggregates consisting of optically hard PPs 43 . Still, their approach did not cover

g

(see Equation ).…”

Section: Resultsmentioning

confidence: 99%

“…42 Lagarrigue et al published a significantly faster approximation for 𝐶 s (see Equation 2) for aggregates consisting of optically hard PPs. 43 Still, their approach did not cover 𝑔 (see Equation 1). Furthermore, both an exact solution as well as an approximation would require knowledge about the porosity of SPs in suspension.…”

Section: 8mentioning

confidence: 99%

Effect of alkali metal salt addition on disintegration of titania particles precipitated from tetraethyl orthotitanate in ethanol

Zimmermann,

Koenig,

Reich

et al. 2024

Int J Ceramic Engine & Sci

View full text Add to dashboard Cite

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“…Mie scattering theory is the rigorous solution of the Maxwell equations for uniform spherical particles illuminated by parallel monochromatic light. It is suitable for the determination of the spherical particle, which has an arbitrary size parameter and a complex refractive index (Gouesbet, 2010;Lagarrigue et al, 2012). The scattering model of a single particle is shown in Figure 1.…”

Section: System Constraintsmentioning

confidence: 99%

Inversion of particle size distribution based on iterative non-negative Philips-Twomey algorithm

Shan

Cao

et al. 2019

Transactions of the Institute of Measurement and Control

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The precision of particle size distribution (PSD) is a key indicator to evaluate inversion algorithms. In the light scattering particle sizing technology, constructed on the inversion method of the traditional non-negative Philips-Twomey (NNPT) algorithm, an iterative NNPT (INNPT) algorithm was proposed in this paper, applied for the inversion of PSD. In simulations, the inversion accuracy performance of NNPT and INNPT algorithms were compared and analyzed by using different widths of PSD that conform to Johnson’s SB unimodal and bimodal functions. A small angle forward scattering method of PSD measurement system using Charge Coupled Device (CCD) as a photodetector was constructed and the national standard particles were tested. Both the results of simulations and experiments show that the inverse accuracy and stability of INNPT algorithm are superior to NNPT algorithm especially in the conditions of narrow distribution.

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Comprehensive T-matrix reference database: A 2009–2011 update

Zakharova

Videen

Khlebtsov

2012

Journal of Quantitative Spectroscopy and Radiative Transfer

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a b s t r a c tThe T-matrix method is among the most versatile, efficient, and widely used theoretical techniques for the numerically exact computation of electromagnetic scattering by homogeneous and composite particles, clusters of particles, discrete random media, and particles in the vicinity of an interface separating two half-spaces with different refractive indices. This paper presents an update to the comprehensive database of Tmatrix publications compiled by us previously and includes the publications that appeared since 2007. It also lists several earlier publications not included in the original database.Published by Elsevier Ltd.

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Approximation for the light scattering cross-section of optically hard aggregates

Cited by 6 publications

References 31 publications

Effect of alkali metal salt addition on disintegration of titania particles precipitated from tetraethyl orthotitanate in ethanol

Effect of alkali metal salt addition on disintegration of titania particles precipitated from tetraethyl orthotitanate in ethanol

Inversion of particle size distribution based on iterative non-negative Philips-Twomey algorithm

Comprehensive T-matrix reference database: A 2009–2011 update

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