Small-angle scattering from a commercial Al-Li alloy

Triolo, R.; Caponetti, E.; Spooner, S.; Boschetti, Flvio

doi:10.1080/01418618908213869

Cited by 26 publications

(8 citation statements)

References 15 publications

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“…Using our SAXS data for Al-7.9%Li and Al-9.7%Li alloys aged at 150°C for different times and our polydisperse+ model(III) (i.e., ITM+ HS) analysis, the averaged volume fractions are 0.122± 0.013 and 0.124 ± 0.024, respectively. In the contrast, Triolo et al 11 performed the monodisperse+ model(I) analysis for their SAXS data for Al-7.9%Li alloy aged at 150°C, obtaining the averaged volume fraction of 0.187. The averaged volume fraction determined by Floriano's SAXS data 14 for Al-8.5%Li alloy aged at 150°C and their monodisperse+ model(II) analysis is 0.21.…”

Section: B Comparison Of the Saxs Results Obtained From Various Analmentioning

confidence: 98%

“…The determined volume fraction can then be used to compute the compositions of precipitates and matrix using the experimental scattering density contrast. The existing structure factor models used for Al-Li alloys can be categorized into (I) conventional Percus-Yevick (PY) expression of hard-sphere (HS) model adopted by Triolo et al [10][11][12] In this model, the actual precipitate volume fraction is considered as HS volume fraction, (II) PY structure function by means of a HS model with a repulsive step potential developed by Floriano,13,14 (III) a PY approximation of the HS model modified by a hard sphere covering the depletion zone around the precipitate particle. Pedersen 18,19 and our previous studies 20-23 adopted this model.…”

Section: Introductionmentioning

confidence: 99%

“…1 Experimental studies for ␦Ј coarsening kinetics have been conducted using transmission electron microscopy (TEM), 1-9 small-angle x-ray and neutron scattering (SAXS and SANS). [10][11][12][13][14][15][16][17][18][19] Small-angle scattering (SAS) is a very efficient technique for quantitatively characterizing a large number of nanoparticles in a bulk sample in terms of the particle size distribution and the volume fraction. TEM is a complementary tool for observing the morphology and size of precipitates.…”

Section: Introductionmentioning

confidence: 99%

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Coarsening kinetics, thermodynamic properties, and interfacial characteristics ofδ′precipitates inAl−Lialloys taking into account the Gibbs-Thomson effect

2004

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The structure factor model of small-angle x-ray scattering (SAXS) analysis is validated herein by transmission electron microscopy (TEM) result regarding the volume fraction and size of ␦Ј precipitates. The kinetic behaviors of the number density and volume fraction of ␦Ј precipitates in Al-Li alloys during the coarsening stage are quantitatively investigated by SAXS. The results indicate that the conventional kinetic law must be replaced by a more general equation that incorporates the Gibbs-Thomson effect and the time-dependence of the volume fraction during Ostwald ripening. This work also proposes new methods that combine the GibbsThomson effect and the traditional SAXS equation to resolve more reliably and model independently the interfacial energy, the concentration of solute Li in the ␣ matrix in equilibrium with ␦Ј particles of a nanoscale radius C ␣r , the equilibrium solubility of the ␣ phase C e␣ and the equilibrium concentration of ␦Ј particles. The Gibbs-Thomson effect considers the effects of the interfacial energy and particle size on the equilibrium concentration. This effect quantitatively clarifies that the C ␣r value is size-dependent and is related to the C e␣ value and the interfacial energy. The traditional SAXS equation determines the Li concentrations in the ␦Ј particles and the matrix from the measured scattering contrast. The traditionally determined solubility is in fact the C ␣r value and is mistakenly regarded as the equilibrium concentration C e␣ (corresponding to the radius is infinite). These results are compared to other results obtained by SAXS, TEM, and calculation. The time evolution of the transition interfacial layers between ␦Ј particles and the matrix is extensively investigated using SAXS.

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Section: B Comparison Of the Saxs Results Obtained From Various Analmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Coarsening kinetics, thermodynamic properties, and interfacial characteristics ofδ′precipitates inAl−Lialloys taking into account the Gibbs-Thomson effect

2004

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“…We have previously studied the structure and kinetics of formation of precipitate particles in several commercial A1-Li alloys (Triolo, Caponetti and Spooner 1988, Triolo, Caponetti, Spooner and Boschetti 1989, Caponetti, DAguanno, Triolo and Spooner 199 1, Floriano, Caponetti and Triolo 1992a, Floriano, Pipitone, Caponetti and Triolo 1992b. This was done by performing small-angle X-ray scattering (SAXS) measurements on several treated samples and by fitting the.…”

mentioning

confidence: 99%

“…Data were collected using Cu K a radiation. Further experimental details as well as a description of the modelling methods employed in the data analysis can be found elsewhere (Triolo et al 1988,1989, Caponetti et al 1991, Floriano et al 1992a. Suffice it to say here that, given their small size (about 10-20A), it was assumed that the precipitate particles could be assimilated to spheres, that a Percus-Yevick structure function (Ashcroft and Lekner Long-time annealing at ambient temperature of an Al-Li alloy 189 1966) was used and that the distance between precipitate particles was fixed at 1.5 times the particle radius, which was the average value that we had previously found for a series of different treatments for the same alloy (Floriano et al 1992 b).…”

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confidence: 99%

Long-time annealing at ambient temperature of a mildly treated commercial AI-Li alloy

Caponetti

Floriano

Pipitone

et al. 1993

Philosophical Magazine Letters

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Evaluation of light scattering models to characterize concentrated polymer particles embedded in a solid polymer matrix

Otero

Frontini

Eliçabe

2010

J Polym Sci B Polym Phys

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This work deals with the application of the static light scattering (SLS) model of Vrij (VM) for the characterization of a spherical polydisperse concentrated polymer particle system. This model is the exact solution for the SLS of such mixture of particles in the Percus–Yevick approximation. The analyzed polymer particle samples are obtained by solution polymerization of isobornyl methacrylate in polyisobutylene. At the end of the polymerization, as a result of phase separation, a particle system of micrometer sized particles with a moderate distribution of sizes and a volume fraction between 5 and 10% is formed. The SLS data were also analyzed using the local monodisperse approximation (LMA), a well‐known approximation to the model of Vrij. As expected, the estimations with the VM gave better results than those performed with the LMA model for the parameters related to the shape of the particle size distribution as compared with independent determinations of these quantities obtained from scanning electron microscopy micrographs. However, the main motivation to use the more rigorous model seems to be the fact that the volume fraction of particles can be extracted from the data even when relative SLS measurements are used. © 2010 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys 48: 958–963, 2010

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Small-angle scattering from a commercial Al-Li alloy

Cited by 26 publications

References 15 publications

Coarsening kinetics, thermodynamic properties, and interfacial characteristics ofδ′precipitates inAl−Lialloys taking into account the Gibbs-Thomson effect

Coarsening kinetics, thermodynamic properties, and interfacial characteristics ofδ′precipitates inAl−Lialloys taking into account the Gibbs-Thomson effect

Long-time annealing at ambient temperature of a mildly treated commercial AI-Li alloy

Evaluation of light scattering models to characterize concentrated polymer particles embedded in a solid polymer matrix

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