Application of ultrasound spectroscopy for nanoparticle sizing in high concentration suspensions: A factor analysis on the effects of concentration and frequency

Chemical Engineering Science

Volumn 64, Issue 23, 2009, Pages 5036-5042

  Liu, L ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

Factor analysis; Nanoparticles; Particle sizing; Suspension; Ultrasound spectroscopy

Indexed keywords

ATTENUATION DATA; CONCENTRATION RANGES; CRITICAL CONCENTRATION; CRITICAL VOLUME; CURRENT THEORIES; DATA MATRICES; EXPERIMENTAL DATA; FACTOR ANALYSIS; FACTOR ANALYSIS METHOD; FREQUENCY DOMAINS; FREQUENCY RANGING; HIGH CONCENTRATION; LINEAR DEPENDENCE; NON-INVASIVE; OIL/WATER EMULSION; PARTICLE CONCENTRATIONS; PARTICLE SIZING; SAMPLE DILUTION; SOLID CONCENTRATIONS; SOLID SUSPENSIONS; SOUND ATTENUATION; ULTRASOUND ATTENUATION; ULTRASOUND SPECTROSCOPY;

ACOUSTIC WAVES; BUBBLES (IN FLUIDS); CONCENTRATION (PROCESS); FREQUENCY DOMAIN ANALYSIS; NANOPARTICLES; SPECTRUM ANALYSIS; ULTRASONIC APPLICATIONS; ULTRASONIC TRANSMISSION; ULTRASONICS;

SUSPENSIONS (FLUIDS);

EID: 71749096145     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2009.08.004     Document Type: Article

References (52)

1. Ahuja A.S. Effect of particle viscosity on propagation of sound in suspensions and emulsions. J. Acoust. Soc. Am. 51 (1972) 182-191
2. Alba, F., 1992. Method and apparatus for determining particle size distribution and concentration in a suspensions using ultrasonics. US Patent 5121629.
3. Allegra J.R., and Hawley S.A. Attenuation of sound in suspensions and emulsions: theory and experiments. J. Acoust. Soc. Am. 51 (1972) 1545-1564
4. Babick F., Hinze F., Stintz S., and RIpperger S. Ultrasonic spectrometry for particle size analysis in dense submicron suspensions. Part. Part. Syst. Charact. 15 (1998) 230-236
5. Carroll J.B. An analytic solution for approximating simple structure in factor analysis. Psychometrika 18 (1953) 23-38
6. Cattell R.B. The Scientific Use of Factor Analysis (1978), Plenum, New York
7. Challis R.E., Povey M.J.W., Mather M.L., and Holmes A. Ultrasound techniques for characterizing colloidal dispersions. Rep. Prog. Phys. 68 (2005) 1541-1637
8. Chanamai R., Hermann N., and McClements D.J. Influence of thermal overlap effects on the ultrasonic attenuation spectra of polydisperse oil-in-water emulsions. Langmuir 15 (1999) 3418-3423
9. Corbett, J., McNeill Watson, F., McKnight, D., 2008. An in-process instrument for the measurement of nano particle size distribution and electrophoretic mobility. PSA2008. Stratford, UK.
10. Dukhin A.S., and Goetz P.J. Acoustic spectroscopy for concentrated polydisperse colloids with high density contrast. Langmuir 12 (1996) 4987-4997
11. Dukhin A.S., and Goetz P.J. Ultrasound for Characterizing Colloids. Particle Sizing, Zeta Potential, Rheology (2002), Elsevier, Amsterdam, New York, Tokyo
12. Dukhin A.S., Goetz P.J., and Hamlet C.W. Acoustic spectroscopy for concentrated polydisperse colloids with low density contrast. Langmuir 12 (1996) 4998-5003
13. Dukhin A.S., Shilov V., and Borkovskaya Y. Dynamic electrophoretic mobility in concentrated dispersed systems. Cell model. Langmuir 15 (1999) 3452-3457
14. Epstein P.S., and Carhart R.R. The absorption of sound in suspensions and emulsions. J. Acoust. Soc. Am. 25 (1953) 553-565
15. Ferguson G.A. The concept of parsimony in factor analysis. Psychometrika 19 (1954) 281-290
16. Gibson R.L.J., and Toksoz M.N. Viscous attenuation of acoustic waves in suspensions. J. Acoust. Soc. Am. 85 (1989) 1925-1934
17. Gorsuch R.L. Factor Analysis. Lawrence Erlbaum Associates (1983), Hillsdale, New Jersey
18. Guttman L. Image theory for the structure of quantitative variates. Psychometrika 18 (1953) 227-296
19. Happel J. Viscous flow in multiparticle systems: slow motion of fluids relative to beds of spherical particles. A.I.Ch.E. J. 4 (1958) 197-201
20. Happel J.B. Low Reynolds Number Hydrodynamics (1973), Martinus Nijhoff, Dordrecht, The Netherlands
21. Harker A.H., and Temple A.G. Velocity and attenuation of ultrasound in suspensions of particles in fluid. J. Phys. D. Appl. Phys. 21 (1988) 1576-1588
22. Harman H.H. Modern Factor Analysis (1976), University of Chicago Press, Chicago
23. Harman H.H. Minres methods of factor analysis. In: Enslein K., Ralston A., and Wilf H.S. (Eds). Statistical Methods for Digital Computers Section (1976), Wiley, New York
24. Harris C.W. Some Rao-Guttman relationships. Psychometrika 27 (1962) 247-263
25. Hemar, Y., Herrmann, N., Lemarechal, P., Hocquart, R., Lequeux, F., 1997. Effect medium model for ultrasonic attenuation due to the thermo-elastic effect in concentrated emulsions. J. Phys. II. 7.
26. Hotelling H. Analysis of a complex of statistical variables into principal components. J. Educ. Psychol. 24 (1933) 417-441 498-520
27. Joreskog K.G. Some contributions to maximum likelihood factor analysis. Psychometrika 31 (1967) 165-178
28. Joreskog K.G. General methods for estimating a linear structure equation system. In: Goldberger A.S., and Duncan O.D. (Eds). Structural Equation Models in the Social Sciences Section (1973), Seminar Press, New York
29. Joreskog K.G., and Lawley D.N. New methods in maximum likelihood factor analysis. Brit. J. Math. Stat. Psy. 21 (1968) 85-96
30. Kaiser H.F. The varimax criterion for analytic rotation in factor analysis. Psychometrika 23 (1958) 187-200
31. Kaiser H.F., and Gaffrey J. Alpha factor analysis. Psychometrika 30 (1965) 1-14
32. Kim J.-O., and Mueller C.W. Factor Analysis: Statistical Methods and Practical Issues (1978), SAGE Publications, Inc., California, London, New Delhi
33. Kline P. An Easy Guide to Factor Analysis (1994), Routledge, London
34. Kozak M.W., and Davis J.E. Electrokinetic phenomena in fibrous porous media. JCIS 112 (1986) 403-411
35. Kuwabara S. The forces experienced by randomly distributed parallel circular cylinders or spheres in a viscous flow at small Reynolds numbers. J. Phys. Soc. Jpn. 14 (1959) 527-532
36. Lawley D.N. The estimation of factor loading by the method of maximum likelihood. Proc. R. Soc. EDIN. 60 (1940) 64-82
37. Liu, L., Li, R.F., Wang, X.Z., Tweedie, R.J., Corbett, J., McNeill Watson, F., Primrose, K., 2008. Use of dynamic light scattering, ultrasound spectroscopy and electrical resistance tomography for online characterisation of high concentration nano particle suspensions. PSA2008, Stratford, UK.
38. Manly B.F.J. Multivariate Statistical Methods (2005), Chapman & Hall/CRC, Boca Raton, FL
39. Maxwell A.E. Factor Analysis as a Statistical Method (1971), Butterworth and Co, London
40. McClements D.J., Hemar Y., and Herrmann N. Incorporation of thermal overlap effects into multiple scattering theory. J. Acoust. Soc. Am. 105 (1999) 915-918
41. Mulaik S.A. The Foundations of Factor Analysis (1972), McGraw-Hill, New York
42. Neuhaus J.O., and Wright C. The quartimax method: an analytical approach to orthogonal simple structure. Brit. J. Math. Stat. Psy. 7 (1954) 81-91
43. Nunnally J. Psychometric Theory (1978), McGraw-Hill, New York
44. Popper K. The Logic of Scientific Discovery (1959), Basic Books, New York
45. Povey M.J.W. Ultrasonic Techniques for Fluids Characterisation (1997), Academic Press, San Diego, London, Boston, New York, Sydney, Tokyo, Toronto
46. Povey M.J.W. Particulate characterization by ultrasound. Pharm. Sci. Technol. Today 3 (2000) 373-380
47. Sauders, D.R., 1953. An analytic method for rotation to orthogonal simple structure. Res. Bull. Princeton, Educational Testing Service.
48. Shilov V., Zharkih N.I., and Borkovskaya Y. Theory of nonequilibrium electrosurface phenomena in concentrated disperse system. 1. Application of nonequilibrium thermodynamics to cell model. Colloid J. 43 (1981) 434-438
49. Shukla A., and Prakash A. Ultrasound technique to determine particle size and concentration in slurry systems. Chem. Eng. Sci. 61 (2006) 2468-2475
50. Spearman C. General intelligence: objectively determined and measured. Am. J. Psychol. 15 (1904) 201-292
51. Thomson G.H. Hotelling's method modified to give Spearman's g. J. Educ. Psychol. 25 (1934) 366-374
52. Thurstone L.L. Multiple Factor Analysis: A Development and Expansion of Vectors of the Mind (1947), University of Chicago Press, Chicago