2010
DOI: 10.1134/s181123821001011x
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Analysis of polydispersity of macromolecular and nanodisperse systems by electrooptical methods

Abstract: This work presents the general statement of the mathematical problem for estimating the distri bution functions of particles with respect to their parameters from the data on electrooptical studies of dis persed systems. The most typical equations describing electrooptical effects in solutions of kinetically rigid macromolecules and nanoscale systems are given, and the method for their solution is proposed. Using model distribution functions, the proposed method is compared with the regularization method.

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Cited by 10 publications
(2 citation statements)
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“…The functions and were determined from Eqs. (5) and (7) by a method that is related to the min imization of the sum of penalty functions [17]. It fol lows from relation (4) that .…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…The functions and were determined from Eqs. (5) and (7) by a method that is related to the min imization of the sum of penalty functions [17]. It fol lows from relation (4) that .…”
Section: Resultsmentioning
confidence: 99%
“…In the case of a strong field, the dependences are similar, while, in the case of a weak field and polydisperse system, they are not similar. Having experimentally deter mined the dependences and , one can cal culate the distribution functions and from relations (5) and (7) considered as integral equations [17]. If nanotubes are oriented in the field as noninter acting cylinders, the distribution functions and should be similar, since varies proportionally to L (see (4)) and no correlation between lengths and diameters of nanotubes is observed.…”
Section: Electric Dichroismmentioning
confidence: 99%