Regularized Positive Exponential Sum (REPES) Program - A Way of Inverting Laplace Transform Data Obtained by Dynamic Light Scattering

1995 ◽  
Vol 60 (11) ◽  
pp. 1781-1797 ◽  
Author(s):  
Jaromír Jakeš

Computer program REPES, which has been used in treating dynamic light scattering data for eight years but never published, and the algorithm used within it are described in detail. A list of papers quoting REPES and a brief discussion of suitability and performance of regularizing methods in inverting Laplace transform are given.

Fractal colloid aggregates are studied with both static and dynamic light scattering. The dynamic light scattering data are scaled onto a single master curve, whose shape is sensitive to the structure of the aggregates and their mass distribution. By using the structure factor determined from computer-simulated aggregates, and including the effects of rotational diffusion, we predict the shape of the master curve for different cluster distributions. Excellent agreement is found between our predictions and the data for the two limiting régimes, diffusion-limited and reaction-limited colloid aggregation. Furthermore, using data from several completely different colloids, we find that the shapes of the master curves are identical for each régime. In addition, the cluster fractal dimensions and the aggregation kinetics are identical in each régime. This provides convincing experimental evidence of the universality of these two régimes of colloid aggregation.


Polymer ◽  
2006 ◽  
Vol 47 (18) ◽  
pp. 6446-6456 ◽  
Author(s):  
Mitsuhiro Shibayama ◽  
Takeshi Karino ◽  
Satoshi Okabe

2015 ◽  
Vol 42 (9) ◽  
pp. 0908003
Author(s):  
刘伟 Liu Wei ◽  
王雅静 Wang Yajing ◽  
陈文钢 Chen Wengang ◽  
马立修 Ma Lixiu ◽  
申晋 Shen Jin

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