Particle size characterization by quadruple-detector hydrodynamic chromatography
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Abstract
Particle size and shape and their distribution directly influence a variety of end-use material properties related to packing, mixing, and transport of powders, solutions, and suspensions. Many of the techniques currently employed for particle size characterization have found limited applicability for broadly polydisperse and/or nonspherical particles. Here, we introduce a quadruple-detector hydrodynamic chromatography (HDC) method utilizing static multiangle light scattering (MALS), quasi-elastic light scattering (QELS), differential viscometry (VISC), and differential refractometry (DRI), and apply the technique to characterizing a series of solid and hollow polystyrene latexes with diameters in the approximate range of 40–400 nm. Using HDC/MALS/QELS/VISC/DRI, we were able to determine a multiplicity of size parameters and their polydispersity and to monitor the size of the particles across the elution profile of each sample. Using self-similarity scaling relationships between the molar mass and the various particle radii, we were also able to ascertain the shape of the latexes and the shape constancy as a function of particle size. The particle shape for each latex was confirmed by the dimensionless ratio ρ ≡ R G,z /R H,z which, in addition, provided information on the structure (compactness) of the latexes as a function of particle size. Solid and hollow polystyrene latex samples were also differentiable using these methods. Extension of this method to nonspherical, fractal objects should be possible.
Keywords
Polymers Separations/instrumentation Separations/theory High performance liquid chromatographyNotes
Acknowledgements
The authors would like to thank Varian/Polymer Laboratories for their kind gift of the HDC columns and, in particular, Richard Lentner for helpful advice. Support and advice from Wyatt Technology Corporation is also gratefully acknowledged. We also thank Thomas H. Mourey (Eastman Kodak) for helpful discussions during the initial stages of this project.
References
- 1.White HE, Walton SF (1937) J Am Ceram Soc 20:155–160CrossRefGoogle Scholar
- 2.Fidleris V, Whitmore RL (1961) Rheol Acta 1:573–580CrossRefGoogle Scholar
- 3.Patton TC (1964) Paint flow and pigment dispersion. Wiley, New YorkGoogle Scholar
- 4.Patterson GK, Zakin JL, Rodriguez JM (1969) Ing Eng Chem 61:22–30CrossRefGoogle Scholar
- 5.Cumberland DJ, Crawford RJ (1987) The packing of particles. Elsevier, AmsterdamGoogle Scholar
- 6.Cheng DC-H, Kruszewski AP, Senior JR, Roberts TA (1990) J Mater Sci 25:353–373CrossRefGoogle Scholar
- 7.Macosko CW (1994) Rheology—principles, measurements, and applications. Wiley-VCH, New YorkGoogle Scholar
- 8.Duran J (2000) Sands, powders, and grains. An introduction to the physics of granular materials. Springer, New YorkGoogle Scholar
- 9.Osman MA, Atallah A (2006) Polymer 47:2357–2368CrossRefGoogle Scholar
- 10.Hill A, Carrington S (2006) Am Lab 38:22–24Google Scholar
- 11.Provder T, Texter J (eds) (2004) Particle sizing and characterization. ACS symposium series 881. American Chemical Society, WashingtonGoogle Scholar
- 12.Barth HG, Flippen RB (1995) Anal Chem 67:257R–272RCrossRefGoogle Scholar
- 13.Xu R (2000) Particle characterization—light scattering methods. Kluwer, DordrechtGoogle Scholar
- 14.Rawle A (2003) Surf Coatings Int Part A Coatings J 86:58–65Google Scholar
- 15.Small H, Langhorst MA (1982) Anal Chem 54:892A–898ACrossRefGoogle Scholar
- 16.Meehan E, Tribe K (2004) In: Provder T, Texter J (eds) Particle sizing and characterization. ACS symposium series 881. American Chemical Society, Washington, pp 175–183Google Scholar
- 17.White RJ (1997) Polym Int 43:373–379CrossRefGoogle Scholar
- 18.Wyatt PJ (1998) J Colloid Interface Sci 197:9–20CrossRefGoogle Scholar
- 19.Schure MR, Palkar SA (2002) Anal Chem 74:684–695CrossRefGoogle Scholar
- 20.Small HJ (1974) Colloid Interface Sci 48:147–161CrossRefGoogle Scholar
- 21.Zarrin F, Dovichi NJ (1985) Anal Chem 57:1826–1829CrossRefGoogle Scholar
- 22.Williams A, Varela E, Meehan E, Tribe K (2002) Int J Pharm 242:295–299CrossRefGoogle Scholar
- 23.Blom MT, Chmela E, Oosterbroek RE, Tijssen R, van den Berg A (2003) Anal Chem 75:6761–6768CrossRefGoogle Scholar
- 24.Revillon A (1994) J Liq Chromatogr 17:2991–3023CrossRefGoogle Scholar
- 25.Prud’homme RK, Hoagland DA (1983) Sep Sci Technol 18:121–134CrossRefGoogle Scholar
- 26.Hoagland DA, Prud’homme RK (1988) J Appl Polym Sci 36:935–955CrossRefGoogle Scholar
- 27.Hoagland DA, Prud’homme RK (1989) Macromolecules 22:775–781CrossRefGoogle Scholar
- 28.McHugh AJ (1989) In: Hunt BJ, Holding SR (eds) Size exclusion chromatography. Blackie, Glasgow, pp 248–270Google Scholar
- 29.Hoagland DA (1996) In: Potschka M, Dubin PL (eds) Strategies in size exclusion chromatography. ACS symposium series 635. American Chemical Society, Washington, pp 173–188Google Scholar
- 30.Huang SS (1999) In: Wu C-S (ed) Column handbook for size exclusion chromatography. Academic, San Diego, pp 597–610CrossRefGoogle Scholar
- 31.Stegeman G, Kraak JC, Poppe HJ (1991) Chromatogr 550:721–739CrossRefGoogle Scholar
- 32.Striegel AM (2005) Anal Chem 77:104A–113ACrossRefGoogle Scholar
- 33.Klavons JA, Dintzis FR, Millard MM (1997) Cereal Chem 74:832–836CrossRefGoogle Scholar
- 34.von Wald G, Langhorst M (1991) In: Provder T (ed) Particle size distribution II—assessment and characterization. ACS symposium series 472. American Chemical Society, Washington, pp 308–323Google Scholar
- 35.McGowan GR, Langhorst MA (1982) J Colloid Interface Sci 89:94–106CrossRefGoogle Scholar
- 36.Anderson M, Wittgren B, Wahlund K (2003) Anal Chem 75:4279–4291CrossRefGoogle Scholar
- 37.Smith MJ, Haidar IA, Striegel AM (2007) Analyst 132:455–460CrossRefGoogle Scholar
- 38.Burchard W (1999) Adv Polym Sci 143:113–194CrossRefGoogle Scholar
- 39.Witten TA (1998) Rev Mod Phys 70:1531–1544CrossRefGoogle Scholar
- 40.Striegel AM, Plattner RD, Witten JL (1999) Anal Chem 71:978–986CrossRefGoogle Scholar
- 41.Wyatt PJ (1993) Anal Chim Acta 272:1–40CrossRefGoogle Scholar
- 42.Cotts PM (2005) In: Striegel AM (ed) Multiple detection in size-exclusion chromatography. ACS symposium series 893. American Chemical Society, Washington, pp 52–75Google Scholar
- 43.Stauch O, Schubert R, Savin G, Burchard W (2002) Biomacromolecules 3:565–578CrossRefGoogle Scholar
- 44.Mandelbrot BB (1983) The fractal geometry of nature—updated and augmented. Freeman, New YorkGoogle Scholar
- 45.Byrne EP, Fitzpatrick JJ, Pampel LW, Titchener-Hooker NJ (2002) Chem Eng Sci 57:3767–3779CrossRefGoogle Scholar
