Spin dynamics in strongly coupled spin-correlated radical pairs: Stochastic modulation of the exchange interaction and ST−1 mixing in different magnetic fields
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Abstract
We investigate the effect of stochastic modulation of the exchange interaction Jex on singlet (S)-triplet (T) transitions in radical pairs. These transitions limit the lifetime of the photo-generated radical pairs in covalently linked porphyrin-quinone systems that have been developed for biomimetic modeling of photosynthetic electron transfer processes. In order to explain transient electron paramagnetic resonance (EPR) results in different magnetic fields, i.e., with X-band ((0.34 T)/ (9.5 GHz)) and W-band ((3.4 T)/(95 GHz)) time-resolved EPR, we have to assume that Jex is modulated over a range of 20000 G, which is wide enough that S is temporarily almost degenerate with T0 as well as with T−1. This large modulation of Jex is caused by restricted rotational diffusion of the quinone subunit with respect to the porphyrin subunit. However, because of the small interradical distance of about 1.0–1.4 nm, the radical pair is continuously kept in the strong coupling limit and, therefore, we observe only EPR transition between the triplet sublevels. We find an approximation to solve the stochastic Liouville equation valid for rotational diffusion on an intermediate time scale, i.e., the diffusion rate DR is smaller than the singlet electron recombination rate KS ∼ 109 s−1, but larger than the ST transition rates κ0, κ−1 < 106 s−1.
Keywords
Radical Pair Rotational Diffusion Stochastic Modulation Intermediate Time Scale TREPR SpectrumPreview
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References
- 1.Stehlik D., Möbius K.: Annu. Rev. Phys. Chem.48, 745 (1997)CrossRefGoogle Scholar
- 2.Hoff A.J., Deisenhofer J.: Phys. Rep.287, 1 (1997)CrossRefADSGoogle Scholar
- 3.Schlüpmann J., Lendzian F., Plato M., Möbius K.: J. Chem. Soc. Faraday Trans.89, 2853 (1993)CrossRefGoogle Scholar
- 4.Elger G., Kurreck H., Wiehe A., Johnen E., Fuhs M., Prisner T., Vrieze J.: Acta Chem. Scand.51, 593 (1997)CrossRefGoogle Scholar
- 5.Elger G., Fuhs M., Müller P., von Gersdorff J., Wiehe A., Kurreck H., Möbius K.: Mol. Phys.95, 1309 (1998)ADSGoogle Scholar
- 6.Fuhs M., Elger G., Osintsev A., Popov A., Kurreck H., Möbius K.: Mol. Phys.98, 1025 (2000)CrossRefADSGoogle Scholar
- 7.Kurreck H., Huber M.: Angew. Chem. Int. Ed. Engl.34, 949 (1995)CrossRefGoogle Scholar
- 8.von Gersdorff J., Huber M., Schubert H., Niethammer D., Kirste B., Plato M., Möbius K., Kurreck H., Eichberger R., Kietzmann R., Willig F.: Angew. Chem. Int. Ed. Engl.29, 670 (1990)CrossRefGoogle Scholar
- 9.Dieks H., Sobek J., Tian P., Kurreck H.: Tetrahedron Lett.33, 5951 (1992)CrossRefGoogle Scholar
- 10.Wiehe A., Senge M.O., Kurreck H.: Lieb. Ann. Recueil.9, 1951 (1997)CrossRefGoogle Scholar
- 11.Fuhs M., von Gersdorff J., Dieks H., Kurreck H., Möbius K., Prisner T.: J. Chem. Soc. Faraday Trans.92, 949 (1996)CrossRefGoogle Scholar
- 12.Freed J.H., Pedersen J.B.: Adv. Magn. Reson.8, 1 (1976)Google Scholar
- 13.Salikhov K.M., Molin Y.N., Sagdeev R.Z., Buchachenko A.L.: Spin Polarization and Magnetic Effects in Radical Reactions. Amsterdam: Elsevier 1984.Google Scholar
- 14.Adrian F.J., Monchick L.: J. Chem. Phys.71, 2600 (1979)CrossRefADSGoogle Scholar
- 15.Shushin A.I.: Chem. Phys.144, 201 (1990)CrossRefADSGoogle Scholar
- 16.Avdievich N.I., Forbes M.D.E.: J. Phys. Chem.99, 9660 (1995)CrossRefGoogle Scholar
- 17.Avdievich N.I., Dukes K.E., Forbes M.D.E., DeSimone J.M.: J. Phys. Chem. A101, 617 (1997)CrossRefGoogle Scholar
- 18.Salikhov K., Schlüpmann J., Plato M., Möbius K.: Chem. Phys.215, 23 (1997)CrossRefGoogle Scholar
- 19.Fajer J., Barkigia K.M., Melamed D., Sweet R.M., Kurreck H., von Gersdorff J., Plato M., Rohland H.-C., Elger G., Möbius K.: J. Phys. Chem.100, 14236 (1996)CrossRefGoogle Scholar
- 20.Hore P.J. in: Advanced EPR, Applications in Biology and Biochemistry (Hoff A.J., ed.), chap. 12. Amsterdam: Elsevier 1989.Google Scholar
- 21.Evans G.T., Fleming P.D., Lawler R.G.: J. Chem. Phys.58, 2071 (1973)CrossRefADSGoogle Scholar
- 22.Pedersen J.B., Freed J.H.: J. Chem. Phys.61, 1517 (1974)CrossRefADSGoogle Scholar
- 23.Purtov P.A., Doktorov A.B.: Chem. Phys.178, 47 (1993)CrossRefADSGoogle Scholar
- 24.Mathews J., Walker R.L.: Mathematical Methods of Physics. Menlo Park: Benjamin W.A. 1964.MATHGoogle Scholar
- 25.Doktorov A.B., Burshtein A.I.: Zh. Teor. Eksp. Fiz.68, 1349 (1975)Google Scholar
- 26.Doktorov A.B.: Physica A90, 109 (1978)CrossRefADSMathSciNetGoogle Scholar
- 27.Eyring H., Lin S.H., Lin S.M.: Basic Chemical Kinetics, p. 18. New York: Wiley 1980.Google Scholar
- 28.Zharikov A.A., Shokhirev N.V.: Z. Physik. Chem.37, 177 (1992)Google Scholar
- 29.Adrian F.J.: J. Chem. Phys.102, 4409 (1995)CrossRefADSGoogle Scholar
- 30.Popov A.V., Purtov P.A.: Chem. Phys. Rep.16, 27 (1997)Google Scholar
- 31.Steiner U.E., Ulrich T.: Chem. Rev.89, 51 (1989)CrossRefGoogle Scholar
- 32.Sasaki S., Katsuki A., Akiyama K., Ikegami Y., Tero-Kubota S.: J. Am. Chem. Soc.119, 1323 (1997)CrossRefGoogle Scholar
- 33.Poole C.P.: Electron Spin Resonance, p. 811. New York: Wiley 1967.Google Scholar
- 34.Whiting E.E.: J. Quant. Spectrosc. Radiat. Transf.18, 1379 (1968)CrossRefADSGoogle Scholar
- 35.Burghaus O., Plato M., Rohrer M., Möbius K., MacMillan F., Lubitz W.: J. Phys. Chem.97, 7639 (1993)CrossRefGoogle Scholar
- 36.van der Est A.J., Fuechsle G., Stehlik D., Wasielewski M.R.: Ber. Bunsenges. Phys. Chem.100, 1082 (1996)Google Scholar
- 37.Herring C., Flicker M.: Phys. Rev.134 (1964)Google Scholar
- 38.Closs G.L., Miller J.R.: Science240, 440 (1988)CrossRefADSGoogle Scholar