Abstract
The separation of macromolecules such as polymers and DNA by means of electrophoresis, gel permeation chromatography or filtration exploits size-dependent differences in the time it takes for the molecules to migrate through a random porous network. Transport through the gel matrices, which usually consist of full swollen crosslinked polymers1,2,3,4,5,6,7,8,9,10,11, depends on the relative size of the macromolecule compared with the pore radius. Sufficiently small molecules are thought to adopt an approximately spherical conformation when diffusing through the gel matrix1, whereas larger ones are forced to migrate in a snake-like fashion3,4,5. Molecules of intermediate size, however, can get temporarily trapped in the largest pores of the matrix, where the molecule can extend and thus maximize its conformational entropy. This ‘entropic trapping’ is thought to increase the dependence of diffusion rate on molecular size6,7,8,9,10,11,12,13,14,15,16. Here we report the direct experimental verification of this phenomenon. Bragg diffraction from a hydrogel containing a periodic array of monodisperse water voids confirms that polymers of different weights partition between the hydrogel matrix and the water voids according to the predictions of the entropic trapping theory. Our approach might also lead to the design of improved separation media based on entropic trapping.
This is a preview of subscription content, access via your institution
Access options
Subscribe to this journal
Receive 51 print issues and online access
$199.00 per year
only $3.90 per issue
Buy this article
- Purchase on Springer Link
- Instant access to full article PDF
Prices may be subject to local taxes which are calculated during checkout
Similar content being viewed by others
References
Rodbard, D. & Chrambach, A. Unified theory for gel electrophoresis and gel filtration. Proc. Natl. Acad. Sci. USA 65, 970–977 (1970).
Teraoka, I. Interferometric study of transition from weak to strong penetration of a polymer solution into a porous silica bead. Macromolecules 29, 2430–2439 (1996).
Lerman, L. S. & Frisch, H. L. Why does the electrophoretic mobility of DNA in gels vary with the length of the molecule? Biopolymers 21, 995–997 (1982).
Lumpkin, O. J., Dejardin, P. & Zimm, B. H. Theory of gel electrophoresis of DNA. Biopolymers 24, 1573–1593 (1985).
Slater, G. W. & Noolandi, J. On the reptation theory of gel electrophoresis. Biopolymers 25, 431–454 (1986).
Guillot, G., Leger, L. & Rondelez, F. Diffusion of large flexible polymer chains through model porous membranes. Macromolecules 18, 2531–2537 (1985).
Rotstein, N. A. & Lodge, T. P. Tracer diffusion of linear polystyrenes in poly(vinyl methyl ether) gels. Macromolecules 25, 1316–1325 (1992).
Smisek, D. L. & Hoagland, D. A. Electrophoresis of flexible macromolecules: evidence for a new mode of transport in gels. Science 248, 1221–1223 (1990).
Muthukumar, M. & Hoagland, D. A. Evidence for entropic barrier transport of linear, star, and ring macromolecules in electrophoresis gels. Macromolecules 25, 6696–6698 (1992).
Rousseau, J., Drouin, G. & Slater, G. W. Entropic trapping of DNA during gel electrophoresis: effect of field intensity and gel concentration. Phys. Rev. Lett. 79, 1945–1948 (1997).
Noolandi, J., Rousseau, J. & Slater, G. W. Self-trapping and anomalous dispersion of DNA in electrophoresis. Phys. Rev. Lett. 58, 2428–2431 (1987).
Slater, G. W. & Wu, S. Y. Reptation, entropic trapping, percolation, and Rouse dynamics of polymers in “random” environments. Phys. Rev. Lett. 75, 164–167 (1995).
Baumgärtner, A. & Muthukumar, M. Atrapped polymer chain in random porous media. J. Chem. Phys. 87, 3082–3088 (1987).
Muthukumar, M. & Baumgärtner, A. Effects of entropic barriers on polymer dynamics. Macromolecules 22, 1937–1941 (1989).
Kim, H., Chang, T., Yohanan, J. M., Wang, L. & Yu, H. Polymer diffusion in linear matrices: polystyrene in toluene. Macromolecules 19, 2737–2744 (1986).
Nemoto, N., Kishine, M., Inoue, T. & Osaki, K. Tracer diffusion of linear polystyrene in entanglement networks. Macromolecules 23, 659–664 (1990).
Hiltner, P. A. & Krieger, I. M. Diffraction of light by ordered suspensions. J. Phys. Chem. 73, 2386–2389 (1969).
Clark, N. A., Hurd, A. J. & Ackerson, B. J. Single colloidal crystals. Nature 281, 57–60 (1979).
Kesavamoorthy, R., Tandon, S., Xu, S., Jagannathan, S. & Asher, S. A. Self-assembly and ordering of electrostatically stabilized silica suspensions. J. Colloid Interface Sci. 153, 188–198 (1992).
Asher, S. A. Crystalline narrow band radiation filter.US Patent Nos 4,627,689 and 4,632,517 ((1986)).
Weissman, J. M., Sunkara, H. B., Tse, A. S. & Asher, S. A. Thermally switchable periodicities and diffraction from mesoscopically ordered materials. Science 274, 959–960 (1996).
Holtz, J. H. & Asher, S. A. Polymerized colloidal crystal hydrogel films as intelligent chemical sensing materials. Nature 389, 829–832 (1997).
Rundquist, P. A., Photinos, P., Jagannathan, S. & Asher, S. A. Dynamical Bragg diffraction from crystalline colloidal arrays. J. Chem. Phys. 91, 4932–4941 (1989).
Liu, L., Li, P. & Asher, S. a. Fortuitously superimposed lattice plane secondary diffraction from crystalline colloidal arrays. J. Am. Chem. Soc. 119, 2729–2732 (1997).
Zachariasen, W. H. Theory of X-ray Diffraction in Crystals (Dover, New York, (1957)).
Van de Hulst, H. C. Light Scattering by Small Particles (Dover, New York, (1957)).
Righetti, P. G. Macroporous gels: facts and misfacts. J. Chromatogr. A 698, 3–17 (1995).
Casassa, E. F. Equilibrium distribution of flexible polymer chains between a macroscopic solution phase and small voids. Polymer Lett. 5, 773–778 (1967).
Flory, P. J. Principles of Polymer Chemistry (Ithaca, New York, (1953)).
De Gennes, P. G. Scaling Concepts in Polymer Physics (Ithaca, New York, (1979)).
Acknowledgements
We thank M. D. Morris, D. Pine, J. Holtz, J. M. Weissman and G. Pan for discussions. This work was supported by the Office of Naval Research and the US National Science Foundation.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Liu, L., Li, P. & Asher, S. Entropic trapping of macromolecules by mesoscopic periodic voids in a polymer hydrogel. Nature 397, 141–144 (1999). https://doi.org/10.1038/16426
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1038/16426
This article is cited by
-
Critical scaling of lattice polymers confined to a box without endpoint restriction
Journal of Mathematical Chemistry (2022)
-
Probe-target hybridization depends on spatial uniformity of initial concentration condition across large-format chips
Scientific Reports (2020)
-
Multiplexed in-gel microfluidic immunoassays: characterizing protein target loss during reprobing of benzophenone-modified hydrogels
Scientific Reports (2019)
-
Linear rheology of compressible soft nanocomposites
Rheologica Acta (2008)
-
A patterned anisotropic nanofluidic sieving structure for continuous-flow separation of DNA and proteins
Nature Nanotechnology (2007)
Comments
By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.