Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-11-25T19:48:31.420Z Has data issue: false hasContentIssue false
  • English
  • Français

The Anomalous Diffusion-limited Reaction Kinetics of a Phototrapping Reaction

Published online by Cambridge University Press:  10 February 2011

Eric Monson ,
Anna L. Lin  and
Raoul Kopelman
Eric Monson
Affiliation:
Applied Physics Program, University of Michigan, Ann Arbor, Michigan 48019–1055
Anna L. Lin
Affiliation:
Department of Chemistry, University of Michigan, Ann Arbor, Michigan 48109–1055
Raoul Kopelman
Affiliation:
Department of Chemistry, University of Michigan, Ann Arbor, Michigan 48109–1055 Applied Physics Program, University of Michigan, Ann Arbor, Michigan 48019–1055
Get access

Abstract

A focused laser beam acts as both a “phototrap”, bleaching fluorophore molecules which diffuse into the beam path, and as a confocal probe, detecting the excited, unbleached fluorophore molecules still present in the trap. With this focused laser beam, we observe anomalous asymptotic rate laws similar to those predicted for a diffusion-controlled elementary trapping reaction, A + T → T, in one and two dimensions. One dimensional diffusion-limited trapping kinetics are approached in capillaries with 10 μm diameters while two dimensional diffusion limited trapping kinetics are observed with unstirred samples having a quasi 2-D geometry. In the presence of stirring, the 2-D samplesexhibit the classical, constant trapping rate over time.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 464: Symposium FF – Dynamics in Small Confining Systems III , 1996 , 257
Copyright
Copyright © Materials Research Society 1997

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[1] Ovchinnikov, A. A. and Zeldovich, Y. G., Chem. Phys. B, 28, 215 (1978).Google Scholar
[2] de Gennes, P. G., Chem. R. Acad. Sci. Paris 296, 881 (1983).Google Scholar
[3] Kang, K. and Redner, S., Phys. Rev. Lett. 52, 55 (1984).Google Scholar
[4] Argyrakis, P. and Kopelman, R., J. Theor. Biol 73, 205 (1978).Google Scholar
[5] Kopelman, R., Science 41, 1620 (1988).Google Scholar
[6] Weiss, G., Kopelman, R. and Havlin, S., Phys. Rev. A 39 466 (1989).Google Scholar
[7] Taitelbaum, H., Kopelman, R., Weiss, G., Havlin, S., Phys. Rev. A 41 3116 (1990).Google Scholar
[8] Havlin, S., Larralde, H., Kopelman, R., Weiss, G.H., Physica. A 169 337 (1990).Google Scholar
[9] Schoonover, R., Ph.D. Thesis, University of Michigan, Ann Arbor (1993).Google Scholar
[10] Molecular Dynamics in Restricted Geometries, Klafter, J. and Drake, J.M., eds., John Wileyand Sons (1989).Google Scholar
[11] Kopelman, R., Parus, S.J., Prasad, J., Chem. Phys. 128 209 (1988).Google Scholar
[12] Kopelman, R., Shi, Z.Y., Li, C.S., J. Lumin. 48 and 49 143 (1991).Google Scholar
[13] Non-equilibrium Statistical Mechanics in One Dimension, Privman, V., ed., Cambridge University Press (1996).Google Scholar
[14] Prasad, J. and Kopelman, R., J. Phys. Chem. 91 265 (1987).Google Scholar