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A Self-Optimizing Cumulative Inversion Based on Combination Weight Method for Particle Size Distribution

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Electrical, Information Engineering and Mechatronics 2011

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 138))

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Abstract

Using cumulative inversion to get particle size distribution based on dynamic light scattering is a very important and popular method. However, noise, dust and drifts can interfere with this information heavily. In this paper, after the introduction of fundamentals of dynamic light scattering and the method of conventional cumulative inversion, a self-optimizing cumulative inversion based on the minimum weighted mean combined with fitting standard deviation and fitting correlation coefficient is proposed. By contrasting it with the cumulative inversion of Brookhaven Instrument in simulation experiments according to four noise factors, the results show the validity and feasibility of the proposed approach.

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References

  1. Pecora R (1985) Dynamic light scattering: application of photon correlation spectroscopy. Plenum Press, New York

    Google Scholar 

  2. Brown W (1993) Dynamic light scattering: the method and some applications. Clarendon Press, Oxford

    Google Scholar 

  3. Koppel DE (1972) Analysis of macromolecular polydispersity in intensity correlation spectroscopy: the method of cumulants. J Chem Phys 57(11):4814

    Article  Google Scholar 

  4. Lawson CL, Hanson RJ (1974) Solving least squares problems. Pritice-Hall, Englewood Cliffs

    MATH  Google Scholar 

  5. Provencher SW (1976) An eigenfunction expansion method for the analysis of exponential decay curves. J Chem Phys 64(7):2772

    Article  Google Scholar 

  6. Yu L (2006) Iterative CONTIN algorithm for particle sizing in dynamic light scattering. Opto Electr Eng 33(8):64–69

    MATH  Google Scholar 

  7. Shaoxin Li (2008) Inversion of particle size distribution from dynamic light scattering data with Gray-code genetic algorithm. Chin J Comput Phys 25(3):323–329

    MATH  Google Scholar 

  8. Ren S, Han P, Yang G (2011) Real-coded hybrid genetic algorithm for particle sizing with photon correlation spectroscopy. Chin J Comput Phys 28(1):87–93

    Google Scholar 

  9. Bertero M, Pike ER (1991) Exponential-sampling method for Laplace and other dilationally invariant transforms: II. Examples in photon correlation spectroscopy and Fraunhofer diffraction. Inv Probl 7(1):21

    Article  MathSciNet  MATH  Google Scholar 

  10. Information on http://www.bic.com/

  11. Grabowski E, Morrison I (1983) Particle size distributions from analysis of quasi-elastic light scattering data. In: Dahneke B (ed) Measurements of suspended particles by quasi-elastic light scattering. Wiley-Interscience, New York

    Google Scholar 

  12. Qiu J, Yang G, Han P et al (2011) Self-optimizing cumulative inversion of particle size distribution with photon correlation spectroscopy. Chin J Comput Phys 28(2):268–274

    Google Scholar 

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Correspondence to Jian Qiu .

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Qiu, J., Han, P. (2012). A Self-Optimizing Cumulative Inversion Based on Combination Weight Method for Particle Size Distribution. In: Wang, X., Wang, F., Zhong, S. (eds) Electrical, Information Engineering and Mechatronics 2011. Lecture Notes in Electrical Engineering, vol 138. Springer, London. https://doi.org/10.1007/978-1-4471-2467-2_13

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  • DOI: https://doi.org/10.1007/978-1-4471-2467-2_13

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-2466-5

  • Online ISBN: 978-1-4471-2467-2

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