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Three dimensional cross-correlation dynamic light scattering by non-ergodic turbid media
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10.1063/1.3601749
/content/aip/journal/jcp/134/24/10.1063/1.3601749
http://aip.metastore.ingenta.com/content/aip/journal/jcp/134/24/10.1063/1.3601749

Figures

Image of FIG. 1.
FIG. 1.

(a) Simplified cross-correlation dynamic light scattering scheme of the 3 dimensional setup. Two parallel incident beams and are focused onto the sample by the lens L1 forming an angle δ between them. The scattered intensities I s1 and I s2 are collected by the lens L2 and coupled into single mode fibers that guide light to the detectors. Finally, both scattered signals are cross correlated. (b) Schematic diagram of the wave-vectors arrangement and corresponding to the incident beams, and the wave vectors k s1 and k s2 corresponding to the scattered intensities. This arrangement fulfills the condition that the scattering vectors of both experiments and are parallel and identical in magnitude, figure taken from Ref. 7.

Image of FIG. 2.
FIG. 2.

(a) q-dependence of the ensemble-averaged spatial coherence factor, β12, E , for Reference Sample (solid squares), Sample I (solid circles), and Sample II (hollow triangles); where the PS volume fractions are φ = 0.004, 0.02, and 0.3 %, respectively. (b) Ensemble-averaged single scattered intensity, 〈I SS (q)〉 E , by Reference Sample (solid squares), Sample I (solid circles), and Sample II (hollow triangles). The solid lines represent a calculation with Mie's theory for dielectric spheres in water, where the mean radius is 57 nm, size polydispersity is 2% and PS refractive index is 1.59. For the sake of clarity, the intensity curves and calculations have been shifted by arbitrary factors.

Image of FIG. 3.
FIG. 3.

(a) Normalized time-averaged intensity auto-correlation function minus unity from 4 different zones of Sample I (solid symbols), PS volume fraction φ = 0.02 %. (b) Dynamic structure factor obtained from measurements in (a) by applying Eq. (18) (solid symbols). Inset: short-time regime of the dynamic structure factors along with fits based on the model described in Ref. 27.

Image of FIG. 4.
FIG. 4.

(a) Normalized time-averaged intensity cross-correlation function minus unity from 4 different zones of Sample I (solid symbols). (b) Dynamic structure factor obtained from measurements in (a) by applying Eq. (18) (solid symbols). Inset: short-time regime of the dynamic structure factors along with fits based on the model described in Ref. 27.

Image of FIG. 5.
FIG. 5.

(a) Normalized time-averaged intensity cross-correlation function minus unity from 4 different zones of Sample II (solid symbols), PS volume fraction φ = 0.3 %. (b) Dynamic structure factor obtained from measurements in a) by applying Eq. (18) (solid symbols). Inset: short-time regime of the dynamic structure factors along with fits based on the model described in Ref. 27.

Image of FIG. 6.
FIG. 6.

Averaged dynamic structure factors. Sample I, measured in auto and cross-mode (black and red symbols, respectively). Sample II, measured in cross-mode (green symbols).

Tables

Generic image for table
Table I.

Short-time diffusion coefficient, D s (q), and non-ergodicity factor, f(q, ∞), along with their standard errors obtained for the diluted (in auto- and cross-mode) and turbid (in cross-mode) PA gels. N Z is the number of zones measured to obtain the mean values and uncertainties of D s (q), f(q, ∞) and the stretching exponent, α, in each case. Fits are based on the model described in Ref. 27.

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/content/aip/journal/jcp/134/24/10.1063/1.3601749
2011-06-23
2014-04-16
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Three dimensional cross-correlation dynamic light scattering by non-ergodic turbid media
http://aip.metastore.ingenta.com/content/aip/journal/jcp/134/24/10.1063/1.3601749
10.1063/1.3601749
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