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ESEEM of disordered systems in frequency domain: Analytical formulae in the case of nuclear spin 1/2 and weak hyperfine interaction

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Abstract

The analytical expressions for the spectral density of the dead time free electron spin echo envelope modulation (ESEEM) signal of disordered system are obtained for a paramagnetic center with nuclear spin 1/2 and weak axially symmetric hyperfine interaction. The spectral density is given by the Fourier transformation of the ESE signal averaged over all orientations. The order of the two linear operations may be changed. Fourier transformation of the nonaveraged ESE signal supplies us with the sum of the Dirac δ -functions. Averaging of such a spectrum is a rather trivial operation leading to the spectral densities in the final form.

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References

  1. Salikhov K.M., Semenov A.G., Tsvetkov Yu.D.: Electron Spin Echo and Its Applications. Novosibirsk: Nauka 1976.

    Google Scholar 

  2. Dikanov S.A., Tsvetkov Yu.D.: Electron Spin Echo Envelope Modulation (ESEEM) Spectroscopy. Boca Raton: CRC Press 1992.

    Google Scholar 

  3. Ichikawa T., Kevan L., Bowman M.K., Dikanov S.A., Tsvetkov Yu.D.: J. Chem. Phys.71, 1167 (1979)

    Article  ADS  Google Scholar 

  4. Milov A.D., Maryasov A.G., Tsvetkov Yu.D.: Appl. Magn. Reson.15, 107 (1998)

    Article  Google Scholar 

  5. Maryasov A.G., Tsvetkov Yu.D., Raap J.: Appl. Magn. Reson.14, 101 (1998)

    Google Scholar 

  6. Reijers E.J., Dikanov S.A.: J. Chem. Phys.95, 836 (1991)

    Article  ADS  Google Scholar 

  7. Kevan L. in: Time Domain Electron Spin Resonance (Kevan L., Schwartz R.N., eds.), p. 279. New York: Wiley 1979.

    Google Scholar 

  8. Kevan L., Bowman M.K., Narayana P.A., Boeckman R.K., Yudanov V.F., Tsvetkov Yu.D.: J. Chem. Phys.63, 409 (1975)

    Article  ADS  Google Scholar 

  9. Shubin A.A.: Ph.D. Thesis, Institute of Chemical Kinetics and Combustion, Novosibirsk, USSR, 1984; Dikanov S.A., Shubin A.A., Parmon V.N.: J. Magn. Reson.42, 474 (1981)

    Google Scholar 

  10. Merks R.P.J., de Beer R.: J. Phys. Chem.83, 3319 (1979)

    Article  Google Scholar 

  11. Dikanov S.A., Tyryshkin A.M., Bowman M.K.: J. Magn. Reson.144, 228 (2000)

    Article  ADS  Google Scholar 

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  1. Institute of Chemical Kinetics and Combustion, Russian Academy of Sciences, Novosibirsk, Russian Federation

    A. G. Maryasov

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  1. A. G. Maryasov
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Maryasov, A.G. ESEEM of disordered systems in frequency domain: Analytical formulae in the case of nuclear spin 1/2 and weak hyperfine interaction. Appl. Magn. Reson. 21, 79–87 (2001). https://doi.org/10.1007/BF03162442

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  • DOI: https://doi.org/10.1007/BF03162442

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