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Direction vector, scattering direction vector.
The discrete dipole approximation (DDA), a powerful modeling tool for rigorous 3-D vector scattering, has shown its capability to predict the light scattering from micro-scale objects.
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The distance between the documents consists in the distance between the vectors scattered in the vector space.
The non-differentiable nature of our objective function (described in the next section) led to our choice of a stochastic global optimization approach [ 6, 7] that relies on an evolutionary search, namely differential evolution (DE) [ 8], starting from a diverse population of parameter vectors scattered over a feasible region of parameter space.
The second set of windows separated by 50 μm is used to monitor the scattered light intensities over a wide range of scattering vector q (from 0.35 to 4 μm−1) which allows the assessment of the mechanism of phase separation.
The scattering vector dependence of the collective relaxation rates estimated for both fast and slow processes indicated a minimum at scattering vector q = 1.5 Å−1, corresponding to the position of a peak in the static structure factor.
The logI − logq curve (where I is the intensity, q is the scattering vector), which has been obtained for pristine ceramics, is characterized by a long straight part within the interval of scattering vector of 2.82 × 10−2 to 1.1 nm−1.1
However, no definite scattering peak was observed as a function of scattering vector characterizing the latter stage of spinodal decomposition.
It should be noticed that the curves coincide in the region of scattering vector higher than 5 nm−1.
Figure 1 shows an example of a 2D WAXD pattern and the corresponding linear intensity vs scattering vector trace generated from a typical parchment sample.
The results of TRLS displayed clearly that the phase separation took place according to a spinodal decomposition (SD) mechanism and the evolution of both scattering vector qm and the maximum scattering intensity Im followed Maxwell-type relaxation equation.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com