NEW SIMPLE METHOD TO ANALYZE MILDLY GAUSSIAN-CONVOLVED LORENTZIAN LINES WITH THE AID OF DISPA DATA

A new and simple method, not based on numerical fitting, to analyze mi ldly Gaussian-convolved Lorentzian isolated nonoverlapped lines in any spectroscopy, with the aid of DISPA (DISPersion vs. Absorption) data, is presented, The method is based on a model of the dispersion line w hich is obtained by taking the Hilbert transform of a previously publi shed approximate expression for the absorption Voigt profile, The resu lting DISPA pair is valid in the interval alpha much greater than 1/ro ot 2, where alpha is a parameter that measures the relative Lorentzian (Gamma(L)) and Gaussian (Gamma(G)) full width at half-maximum (FWHM) contributions to the Voigt profile, As an example of an application of the method, a deconvolution of the potassium-ammonium solution electr on paramagnetic resonance (EPR) line is performed, This deconvolution produces the Lorentzian and Gaussian contributions to the line, The de convolution operation is done after obtaining a list of DISPA values f or this line, The resulting values of the Lorentzian and Gaussian FWHM s are then compared with those obtained after deconvolving the line by fitting the spectral data with both the exact and approximate express ions for the Voigt profile, The method may be used in any spectroscopy in which the spectral lines are not overlapped and can be represented by Voigtians with a small Gaussian component and with a very low degr ee of asymmetry.