Generalization of the lineshape useful in magnetic resonance spectroscopy

Journal of Magnetic Resonance

Volumn 161, Issue 2, 2003, Pages 215-221

  Howarth, David F ^a   Weil, John A ^a   Zimpel, Zbigniew ^a  

^a UNIVERSITY OF SASKATCHEWAN   (Canada)

Author keywords

Lineshape; Magnetic resonance; Spectral simulation; Tsallis distribution

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; GAUSSIAN NOISE (ELECTRONIC);

LINESHAPE FUNCTIONS;

NUCLEAR MAGNETIC RESONANCE SPECTROSCOPY;

LORENTZIA;

EID: 0042494466     PISSN: 10907807     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1090-7807(02)00195-7     Document Type: Article

References (25)

1. Weil J.A. The simulation of EPR spectra: a mini-review. Mol. Phys. Rep. 26:1999;11.
2. Kubo R. A general theory of magnetic resonance absorption. J. Phys. Soc. Jpn. 9:1954;888.
3. Van Vleck J.H. The dipolar broadening of magnetic resonance lines in crystals. Phys. Rev. 74:1948;1168.
4. Feller W. An Introduction to Probability Theory and its Applications. 1971;Wiley, New York.
5. Svelto O. Principles of Lasers. fourth ed. 1998;31-50 Plenum Press, New York.
6. Anderson P.W., Weiss P.R. Exchange narrowing in paramagnetic crystals. Rev. Mod. Phys. 25:1953;269.
7. Anderson P.W. A mathematical model for the narrowing of spectral lines by exchange motion. J. Phys. Soc. Jpn. 9:1954;316.
8. Voigt W. Über die Intensitätsverhaltung innerhalb einer Spektrallinie. Phys. Z. 14:1913;377.
9. Grivet J.-P. Accurate numerical approximation to the Gauss-Lorentz lineshape. J. Magn. Reson. 125:1997;102-106.
10. Antsiferova L.I., Valova E.V. New approach to calculating the ESR spectra with allowance for the effects of saturation and modulation effect. Khim. Fiz. 16:1997;37-47.
11. Czosnyka T., Trzciñska A. Unified analytical approximation of Gaussian and Voigtian lineshapes. Nucl. Instrum. Methods Phys. Res. A. 431:1999;548.
12. Maltempo M.M. Rational function approximations to generalized spectroscopic lineshapes and applications to electron paramagnetic resonance. J. Magn. Reson. 68:1986;102.
13. Wieckowski A.B. Numerical methods in line-shape analysis. Nukleonika. 42:1997;589.
14. Gnedenko B.V., Kolmogorov A.N. Limit Distributions for Sums of Independent Random Variables. 1954;Addison-Wesley, Cambridge, MA.
15. Tsallis C., Lévy S.V.F., Souza A.M.C., Maynard R. Statistical-mechanical foundation of the ubiquity of Lévy distributions in nature. Phys. Rev. Lett. 75:1995;3589.
16. Koponen I. Analytic approach to the problem of convergence to truncated Lévy flights towards the Gaussian stochastic process. Phys. Rev. E. 52:1995;1197.
17. Tsallis C. Possible generalization of Boltzmann-Gibbs statistics. J. Stat. Phys. 52:1988;479.
18. Tsallis C. Lévy distributions. Phys. World. 10:1997;42.
19. Gradshteyn I.S., Ryzhik I.M. Tables of Integrals, Series, and Products. 1965;Academic Press, New York.
20. Weil J.A., Bolton J.R., Wertz J.E. Electron Paramagnetic Resonance. Elementary Theory and Applications. 1994;Wiley, New York.
21. Simula1, v4, EPR Research Group, University of Saskatchewan, Saskatoon, Canada, 2002. This program is available via Website: http://chm15127.usask.ca/.
22. 3+ at the Ca2 site Am. Miner. 87:2002;37.
23. D.F. Howarth, M.D. Lafond, J.A. Weil, A liquid-solution EPR study of 2,2-diphenyl-1-monosulfodinitrophenyl hydrazyl salts, Can. J. Chem. (2003), to be submitted.
24. Makosa A. A broadening effect of hyperfine structure lines in DPPH electron spin resonance spectrum. Acta Phys. Polon. A. 39:1971;161.
25. Weil J.A., Hecht H.G. On the powder line shape of EPR spectra. J. Chem. Phys. 38:1963;281.