1996
DOI: 10.1021/la950852q
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Quantitative Assessment of the Conditioning of the Inversion of Quasi-Elastic and Static Light Scattering Data for Particle Size Distributions

Abstract: The rank of the data transfer matrices is used as a quantitative criterion for the assessment of the degree of ill conditioning of the inversion of static, single-angle, and multiangle quasi-elastic light scattering (QELS) data for particle size distributions by intensity, number, and volume. It is shown that the simultaneous (constrained) inversion of three-angle and more angle data sets for distributions by volume can be well-conditioned. The inversion of QELS spectral data is hardly better conditioned compa… Show more

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Cited by 50 publications
(28 citation statements)
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“…Decay times are used to determine the distribution of the diffusion coefficients D of the particles, which in turn can be converted in a distribution of apparent hydrodynamic radii, R H , using the Stokes-Einstein relationship R H = k B T/6 ÁD, where k B T is the thermal energy and Á the solvent viscosity. The values of the radii shown here correspond to the average values on several measurements and are obtained from intensity weighted distributions [45,46].…”
Section: Dynamic Light Scattering Measurementsmentioning
confidence: 84%
“…Decay times are used to determine the distribution of the diffusion coefficients D of the particles, which in turn can be converted in a distribution of apparent hydrodynamic radii, R H , using the Stokes-Einstein relationship R H = k B T/6 ÁD, where k B T is the thermal energy and Á the solvent viscosity. The values of the radii shown here correspond to the average values on several measurements and are obtained from intensity weighted distributions [45,46].…”
Section: Dynamic Light Scattering Measurementsmentioning
confidence: 84%
“…Decay times are used to determine the distribution of the diffusion coefficients D0 of the particles, which in turn can be converted in a distribution of apparent hydrodynamic diameter, Dh, using the Stokes-Einstein relationship Dh = kBT/3D0, where kB is the Boltzmann constant, T the absolute temperature and  the solvent viscosity (Berne and Pecora, 1976). The values of the radii shown in this work correspond to the average values on several measurements and are obtained from intensity weighted distributions (Provencher, 1982;De Vos, Deriemaeker and Finsy, 1996). The thermal protocol used for both OMVs, MVs and bacteria in DLS measurements consists of an ascending ramp from 10°C to 45°C with temperature step of 1°C.…”
Section: Dls and Turbidimetric Measurements Were Performed Employing mentioning
confidence: 99%
“…Note that intensity should be the less affected by the "degree of ill-conditioning" in the inversion of the Laplace transform of measured data. 48 T 1A for HC, PH, and PEG exhibited low probability (in the case of PEG 5000 , it was almost zero), and the tendency followed was T 1A HC ∼ T 1A PH < T 1A PEG . T 1B for PEG and for the lipidic regions HC and PH is the most populated of both T 1 for these molecular regions, behaves as a common proton system, and increases with n, although T 1B PEG seems to grow faster.…”
Section: ■ Conclusionmentioning
confidence: 96%