Skip to main content
Log in

Fractionating power and outlet stream polydispersity in asymmetrical flow field-flow fractionation. Part I: isocratic operation

  • Research Paper
  • Published:
Analytical and Bioanalytical Chemistry Aims and scope Submit manuscript

Abstract

Asymmetrical flow field-flow fractionation (As-FlFFF) has become the most commonly used of the field-flow fractionation techniques. However, because of the interdependence of the channel flow and the cross flow through the accumulation wall, it is the most difficult of the techniques to optimize, particularly for programmed cross flow operation. For the analysis of polydisperse samples, the optimization should ideally be guided by the predicted fractionating power. Many experimentalists, however, neglect fractionating power and rely on light scattering detection simply to confirm apparent selectivity across the breadth of the eluted peak. The size information returned by the light scattering software is assumed to dispense with any reliance on theory to predict retention, and any departure of theoretical predictions from experimental observations is therefore considered of no importance. Separation depends on efficiency as well as selectivity, however, and efficiency can be a strong function of retention. The fractionation of a polydisperse sample by field-flow fractionation never provides a perfectly separated series of monodisperse fractions at the channel outlet. The outlet stream has some residual polydispersity, and it will be shown in this manuscript that the residual polydispersity is inversely related to the fractionating power. Due to the strong dependence of light scattering intensity and its angular distribution on the size of the scattering species, the outlet polydispersity must be minimized if reliable size data are to be obtained from the light scattering detector signal. It is shown that light scattering detection should be used with careful control of fractionating power to obtain optimized analysis of polydisperse samples. Part I is concerned with isocratic operation of As-FlFFF, and part II with programmed operation.

The dash-dotted blue curve describes an assumed log-normal sample molecular weight distribution (right axis). The full black curves show predicted outlet polydispersity (left axis) at discrete elution times of 4.5, 6.0, 7.5, 9.0, and 10.5 minutes during an isocratic As-FlFFF analysis

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+
from $39.99 /Month
  • Starting from 10 chapters or articles per month
  • Access and download chapters and articles from more than 300k books and 2,500 journals
  • Cancel anytime
View plans

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  1. Giddings JC, Yang FJF, Myers MN. Flow field-flow fractionation: a versatile new separation method. Science. 1976;193(4259):1244–5.

    Article  CAS  Google Scholar 

  2. Giddings JC, Yang FJ, Myers MN. Theoretical and experimental characterization of flow field-flow fractionation. Anal Chem. 1976;48(8):1126–32.

    Article  CAS  Google Scholar 

  3. Lee HL, Lightfoot EN. Preliminary report on ultrafiltration-induced polarization chromatography—an analog of field-flow fractionation. Sep Sci. 1976;11(5):417–40.

    CAS  Google Scholar 

  4. Granger J, Dodds J, Leclerc D, Midoux N. Flow and diffusion of particles in a channel with one porous wall: polarization chromatography. Chem Eng Sci. 1986;41(12):3119–28.

    Article  CAS  Google Scholar 

  5. Wahlund K-G, Giddings JC. Properties of an asymmetrical flow field-flow fractionation channel having one permeable wall. Anal Chem. 1987;59(9):1332–9.

    Article  CAS  Google Scholar 

  6. Giddings JC, Caldwell KD. Field-flow fractionation: choices in programmed and nonprogrammed operation. Anal Chem. 1984;56(12):2093–9.

    Article  CAS  Google Scholar 

  7. Wahlund K-G, Winegarner HS, Caldwell KD, Giddings JC. Improved flow field-flow fractionation system applied to water soluble polymers: programming, outlet stream splitting, and flow optimization. Anal Chem. 1986;58(3):573–8.

    Article  CAS  Google Scholar 

  8. Williams SKR. Sample recovery. In: Schimpf ME, Caldwell K, Giddings JC, editors. Field-flow fractionation handbook. New York: Wiley-Interscience; 2000. p. 325–43. Ch 21.

    Google Scholar 

  9. Litzén A, Wahlund K-G. Zone broadening and dilution in rectangular and trapezoidal asymmetrical flow field-flow fractionation channels. Anal Chem. 1991;63(10):1001–7.

    Article  Google Scholar 

  10. Litzén A. Separation speed, retention, and dispersion in asymmetrical flow field-flow fractionation as functions of channel dimensions and flow rates. Anal Chem. 1993;65(4):461–70.

    Article  Google Scholar 

  11. Williams PS. Design of an asymmetrical flow field-flow fractionation channel for uniform channel flow velocity. J Microcolumn Sep. 1997;9(6):459–67.

    Article  CAS  Google Scholar 

  12. Ahn JY, Kim KH, Lee JY, Williams PS, Moon MH. Effect of asymmetrical flow field-flow fractionation channel geometry on separation efficiency. J Chromatogr A. 2010;1217(24):3876–80.

    Article  CAS  Google Scholar 

  13. Qureshi RN, Kok WT. Optimization of asymmetrical flow field-flow fractionation (AF4). LC GC Eur. 2010;23(1):18–25.

    CAS  Google Scholar 

  14. Qureshi RN, Kok WT. Optimization of asymmetrical flow field-flow fractionation. LC GC N Am. 2011;29(1):76–83.

    CAS  Google Scholar 

  15. Giddings JC, Yoon YH, Myers MN. Evaluation and comparison of gel permeation chromatography and thermal field-flow fractionation for polymer separations. Anal Chem. 1975;47(1):126–31.

    Article  CAS  Google Scholar 

  16. Giddings JC, Williams PS, Beckett R. Fractionating power in programmed field-flow fractionation: exponential sedimentation field decay. Anal Chem. 1987;59(1):28–37.

    Article  CAS  Google Scholar 

  17. Williams PS, Giddings JC, Beckett R. Fractionating power in sedimentation field-flow fractionation with linear and parabolic field decay programming. J Liq Chromatogr. 1987;10(8–9):1961–98.

    Article  CAS  Google Scholar 

  18. Williams PS, Giddings JC. Power programmed field-flow fractionation: a new program form for improved uniformity of fractionating power. Anal Chem. 1987;59(17):2038–44.

    Article  CAS  Google Scholar 

  19. Williams PS, Kellner L, Beckett R, Giddings JC. Comparison of experimental and theoretical fractionating power for exponential field decay sedimentation field-flow fractionation. Analyst. 1988;113(8):1253–9.

    Article  CAS  Google Scholar 

  20. Williams PS, Giddings JC. Comparison of power and exponential field programming in field-flow fractionation. J Chromatogr. 1991;550:787–97.

    Article  CAS  Google Scholar 

  21. Williams PS, Giddings JC. Theory of field-programmed field-flow fractionation with corrections for steric effects. Anal Chem. 1994;66(23):4215–28.

    Article  CAS  Google Scholar 

  22. Williams PS. Programmed field-flow fractionation: fractionating power and optimization. In: Schimpf ME, Caldwell K, Giddings JC, editors. Field-flow fractionation handbook. New York: Wiley-Interscience; 2000. p. 167–82. Ch 10.

    Google Scholar 

  23. Schimpf ME. Polymer analysis by thermal field-flow fractionation. J Liq Chromatogr Relat Technol. 2002;25(13–15):2101–34.

    Article  CAS  Google Scholar 

  24. Wyatt PJ. Submicrometer particle sizing by multiangle light scattering following fractionation. J Colloid Interface Sci. 1998;197(1):9–20.

    Article  CAS  Google Scholar 

  25. Wyatt PJ. Measurement of special nanoparticle structures by light scattering. Anal Chem. 2014;86(15):7171–83.

    Article  CAS  Google Scholar 

  26. Schure MR, Palkar SA. Accuracy estimation of multiangle light scattering detectors utilized for polydisperse particle characterization with field-flow fractionation techniques: a simulation study. Anal Chem. 2002;74(3):684–95.

    Article  CAS  Google Scholar 

  27. Andersson M, Wittgren B, Wahlund K-G. Ultrahigh molar mass component detected in ethylhydroxyethyl cellulose by asymmetrical flow field-flow fractionation coupled to multiangle light scattering. Anal Chem. 2001;73(20):4852–61.

    Article  CAS  Google Scholar 

  28. Andersson M, Wittgren B, Wahlund K-G. Accuracy in multiangle light scattering measurements for molar mass and radius estimations. Model calculations and experiments. Anal Chem. 2003;75(16):4279–91.

    Article  CAS  Google Scholar 

  29. Podzimek S. Light scattering, size exclusion chromatography and asymmetric flow field flow fractionation. Powerful tools for the characterization of polymers, proteins and nanoparticles. Hoboken: Wiley; 2011.

    Book  Google Scholar 

  30. Galyean AA, Vreeland WN, Filliben JJ, Holbrook RD, Ripple DC, Weinberg HS. Using light scattering to evaluate the separation of polydisperse nanoparticles. Anal Chim Acta. 2015;886:207–13.

    Article  CAS  Google Scholar 

  31. Giddings JC. Displacement and dispersion of particles of finite size in flow channels with lateral forces. Field-flow fractionation and hydrodynamic chromatography. Sep Sci Technol. 1978;13(3):241–54.

    Article  Google Scholar 

  32. Moon MH, Kwon H, Park I. Stopless flow injection in asymmetrical flow field-flow fractionation using a frit inlet. Anal Chem. 1997;69(7):1436–40.

    Article  CAS  Google Scholar 

  33. Moon MH, Williams PS, Kwon H. Retention and efficiency in frit-inlet asymmetrical flow field-flow fractionation. Anal Chem. 1999;71(14):2657–66.

    Article  CAS  Google Scholar 

  34. Lee H-L, Reis JFG, Dohner J, Lightfoot EN. Single-phase chromatography: solute retardation by ultrafiltration and electrophoresis. AIChE J. 1974;20(4):776–84.

    Article  CAS  Google Scholar 

  35. Moon M, Hwang I. Hydrodynamic vs. focusing relaxation in asymmetrical flow field-flow fractionation. J Liq Chromatogr Relat Technol. 2001;24(20):3069–83.

    Article  CAS  Google Scholar 

  36. Wahlund K-G, Litzén A. Application of an asymmetrical flow field-flow fractionation channel to the separation and characterization of proteins, plasmids, plasmid fragments, polysaccharides and unicellular algae. J Chromatogr. 1989;461:73–87.

    Article  CAS  Google Scholar 

  37. Williams PS, Giddings SB, Giddings JC. Calculation of flow properties and end effects in field-flow fractionation channels by a conformal mapping procedure. Anal Chem. 1986;58(12):2397–403.

    Article  CAS  Google Scholar 

  38. Williams PS. Retention time and fractionating power in programmed asymmetrical flow FFF. Paper presented at the 8th International Symposium on Field-Flow Fractionation (FFF 1999), Paris, France, September 6–8; 1999.

  39. Williams PS. The modeling of elution and nonequilibrium bandspreading in asymmetrical flow field-flow fractionation under isocratic and programmed conditions. Paper presented at the 16th International Symposium on Field- and Flow-Based Separations (FFF 2013), Université de Pau et des Pays de l’Adour, IPREM and Faculty of Sciences, Pau, France, June 30–July 4; 2013.

  40. Williams PS. Retention ratio and nonequilibrium bandspreading in asymmetrical flow field-flow fractionation. Anal Bioanal Chem. 2015;407(15):4327–38.

    Article  CAS  Google Scholar 

  41. Hovingh ME, Thompson GH, Giddings JC. Column parameters in thermal field-flow fractionation. Anal Chem. 1970;42(2):195–203.

    Article  CAS  Google Scholar 

  42. Giddings JC. Plate height of nonuniform chromatographic columns. Gas compression effects, coupled columns, and analogous systems. Anal Chem. 1963;35(3):353–6.

    Article  CAS  Google Scholar 

  43. Giddings JC, Yoon YH, Caldwell KD, Myers MN, Hovingh ME. Nonequilibrium plate height for field-flow fractionation in ideal parallel plate columns. Sep Sci. 1975;10(4):447–60.

    CAS  Google Scholar 

  44. Liu M-K, Li P, Giddings JC. Rapid protein separation and diffusion coefficient measurement by frit inlet flow field-flow fractionation. Protein Sci. 1993;2(9):1520–31.

    Article  CAS  Google Scholar 

  45. Carlshaf A, Jönsson JÅ. Properties of hollow fibers used for flow field-flow fractionation. Sep Sci Technol. 1993;28(4):1031–42.

    Article  CAS  Google Scholar 

  46. Litzén A, Walter JK, Krischollek H, Wahlund K-G. Separation and quantitation of monoclonal antibody aggregates by asymmetrical flow field-flow fractionation and comparison to gel permeation chromatography. Anal Biochem. 1993;212(2):469–80.

    Article  Google Scholar 

  47. Smith LK, Myers MN, Giddings JC. Peak broadening factors in thermal field-flow fractionation. Anal Chem. 1977;49(12):1750–6.

    Article  CAS  Google Scholar 

  48. Giddings JC. ‘Eddy’ diffusion in chromatography. Nature. 1959;184(4683):357–8.

    Article  CAS  Google Scholar 

  49. Giddings JC, Robison RA. Failure of the eddy diffusion concept of gas chromatography. Anal Chem. 1962;34(8):885–90.

    Article  CAS  Google Scholar 

  50. Liu M-K, Giddings JC. Separation and measurement of diffusion coefficients of linear and circular DNAs by flow field-flow fractionation. Macromolecules. 1993;26(14):3576–88.

    Article  CAS  Google Scholar 

  51. Flory PJ. Principles of polymer chemistry. Ithaca: Cornell University Press; 1953.

    Google Scholar 

  52. DiMarzio EA, Guttman CM. Separation by flow. Macromolecules. 1970;3(2):131–46.

    Article  CAS  Google Scholar 

  53. Casassa EF. Comments on exclusion of polymer chains from small pores and its relation to gel permeation chromatography. Macromolecules. 1976;9(1):182–5.

    Article  CAS  Google Scholar 

  54. Gorbunov AA, Solovyova LY, Pasechnik VA. Fundamentals of the theory and practice of polymer gel-permeation chromatography as a method of chromatographic porosimetry. J Chromatogr A. 1988;448:307–32.

    Article  CAS  Google Scholar 

  55. Gorbunov AA, Skvortsov AM. Statistical properties of confined macromolecules. Adv Colloid Interf Sci. 1995;62(1):31–108.

    Article  CAS  Google Scholar 

  56. Wang Y, Peters GH, Hansen FY, Hassager O. Equilibrium partitioning of macromolecules in confining geometries: improved universality with a new molecular size parameter. J Chem Phys. 2008;128(12):124904.

    Article  Google Scholar 

  57. Wang Y, Hansen FY, Peters GH, Hassager O. Proof of the identity between the depletion layer thickness and half the average span for an arbitrary polymer chain. J Chem Phys. 2008;129(7):074904.

    Article  Google Scholar 

  58. Wang Y, Teraoka I, Hansen FY, Peters GH, Hassager O. A theoretical study of the separation principle in size exclusion chromatography. Macromolecules. 2010;43(3):1651–9.

    Article  CAS  Google Scholar 

  59. Schure MR. Advances in the theory of particle size distributions by field-flow fractionation. Outlet and apparent polydispersity at constant field. J Chromatogr A. 1999;831(1):89–104.

    Article  CAS  Google Scholar 

  60. Nordmeier E. Static and dynamic light-scattering solution behavior of pullulan and dextran in comparison. J Phys Chem. 1993;97(21):5770–85.

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to P. Stephen Williams.

Ethics declarations

Conflict of interest

The author declares that he has no competing interests.

Electronic supplementary material

Below is the link to the electronic supplementary material.

ESM 1

(PDF 1229 kb)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Williams, P.S. Fractionating power and outlet stream polydispersity in asymmetrical flow field-flow fractionation. Part I: isocratic operation. Anal Bioanal Chem 408, 3247–3263 (2016). https://doi.org/10.1007/s00216-016-9388-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00216-016-9388-0

Keywords

Profiles

  1. P. Stephen Williams