Analytical Formula for the Relation between the Experimental and Theoretical Parameters of the Tsallis Spectral Lineстатья
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Дата последнего поиска статьи во внешних источниках: 17 апреля 2024 г.
Аннотация:An exact analytical formula is obtained that relates the experimental and theoretical parameters ofthe spectral line described by the Tsallis function, which includes the Gaussian, Lorentzian, line shapes inter-mediate between them, and super-Lorentzian as special cases. The procedure for the numerical calculationof the theoretical parameters of the line shape is studied by the example of electron spin resonance spectra.The effect of complicating experimental factors, including the noise and the analog signal digitization dis-creteness, on the accuracy of determining the theoretical Tsallian parameters is examined. It is shown thatthe proposed method for determining the theoretical parameters of the spectral line is not inferior in accuracyto the method for minimizing the root-mean-square error functional. It is predicted that the new approachcan be used as an alternative to the available spectral line shape analysis techniques