DOI QR코드

DOI QR Code

Theory of Diffusion-Influenced Bimolecular Reactions in Solution : Effects of a Stochastic Gating Mode

  • Kim Joohyun (Department of Chemistry, Seoul National University) ;
  • Lee Sangyoub (Department of Chemistry, Seoul National University)
  • Published : 1992.08.20

Abstract

We have investigated the kinetics of diffusion-influenced bimolecular reactions in which one reactant has an internal mode, called the gating mode, that activates or deactivates its reactivity intermittently. The rate law and an expression for the time-dependent rate coefficient have been obtained from the general formalism based on the hierarchy of kinetic equations involving reactant distribution functions. The analytic expression obtained for the steady-state reaction rate constant coincides with the one obtained by Szabo et al., who derived the expression by employing the conventional concentration-gradient approach. For the time-dependent reaction rate coefficient, we obtained for the first time an exact analytic expression in the Laplace domain which was then inverted numerically to give the time-domain results.

Keywords

References

  1. J. Chem. Phys. v.81 B. Otto;J. Schroeder;J. Troe
  2. Physical Chemistry v.IXB E. M. Eyring;H. Eyring(ed.)
  3. J. Chem. Phys. v.75 D. P. Millar;R. J. Robbins;A. H. Zeweil
  4. Chem. Phys. v.156 S. Lee;M. Yang;K. J. Shin;K. Y. Choo;D. Lee
  5. J. Am. Chem. Soc. v.104 K. Chou;G. Zhou
  6. Prog. React. Kinet. v.9 S. A, Rice;M. J. Pilling
  7. Ann. Phys. v.48 M. Smoluchowski
  8. Z. Phys. Chem. (Leipzig) v.92
  9. J. Colloid Sci. v.4 F. C. Collins;G. E. Kimball
  10. J. Chem. Phys. v.58 G. Wilemski;M. Fixman
  11. Adv. Chem. Phys. v.48 R. Kapral
  12. J. Chem. Phys. v.86 S. Lee;M. Karplus
  13. J. Chem. Phys. v.14 E. W. Montroll
  14. J. Phys. Chem. v.70 H. L. Friedman
  15. J. Chem. Phys. v.54 K. Solc;W. H. Stockmayer
  16. J. Chem. Phys. v.86 S. Lee;M. Karplus
  17. Nature v.293 J. A. McCammon;S. H. Northrup
  18. J. Phys. Chem. v.86 S. H. Northrup;F. Zarrin;J. A. McCammon
  19. J. Chem. Phys. v.77 A. Szabo;D. Shoup;S. H. Northrup;J. A. McCammon
  20. Physical Chemistry v.Ⅶ S. H. Lin;K. P. Li;H. Eyring;H. Eyring(ed.)
  21. J. Chem. Phys. v.26 L. Monchick;J. L. Magee;A. H. Samuel
  22. Phys. Rev. v.107 T. R. Waite
  23. J. Chem. Phys. v.28
  24. J. Chem. Phys. v.32
  25. J. Chem. Phys. v.20 H, L. Frish;F. C. Collins
  26. Chem. Phys. v.31 O. G. Berg
  27. Physical Chemistry v.XIB J. T. Hynes;J. M. Deutch;D. Henderson(ed.)
  28. The Use of Integral Transforms I. N. Sneddon
  29. IMSL Library Reference Manual(9th ed.)
  30. J. Phys. Chem. v.94 J. Sines;S. A. Allison;A. Wierzbicki;J. A. McCammon
  31. J. Phys. Chem. v.94 S. A. Allison;J. A. McCammom;J. Sines
  32. Comprehensive Chemical Kinetics 25, DiffusionLimited Reactions S. A. Rice

Cited by

  1. Single-particle survival in gated trapping vol.54, pp.3, 1992, https://doi.org/10.1103/physreve.54.2248
  2. Effects of a quantum-mechanically driven two-stage gating mode on the diffusion-influenced bimolecular reactions vol.107, pp.23, 1992, https://doi.org/10.1063/1.475284
  3. Single-particle survival in parallel gated trapping vol.55, pp.1, 1997, https://doi.org/10.1103/physreve.55.421
  4. Stochastic gating influence on the kinetics of diffusion-limited reactions vol.108, pp.3, 1992, https://doi.org/10.1063/1.475460
  5. Nonequilibrium Distribution Function Theory of Many-Particle Effects in the Reversible Reactions of the Type A+B ↔ C+B vol.26, pp.12, 1992, https://doi.org/10.5012/bkcs.2005.26.12.1986