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The Fitted q-Gaussian Function, from Voigt Profile to Kubo Lineshape

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  • Amelia Carolina Sparavigna

Abstract

Several previously discussed cases have shown that the q-Gaussian Tsallis functions can be used for fitting the bands of Raman spectra. Here, considering an article by Thibault et al., 2002, we can add the case of the Raman Q branch of carbon monoxide, for mixtures with Argon at different temperatures. In Thibault et al., a plot is available for the Q(5) line with a fitted Voigt function. A q-Gaussian Tsallis function can be used for fitting this line too. We will note that the fitted q-Gaussian has the wings which are not Lorentzian. At the same time, the wings are not Gaussian. Besides the use of q-Gaussians, a discussion will be proposed about the time correlation functions related to different line shapes (q-Gaussian, Egelstaff-Schofield, Kubo, BWF, Voigt, speed-dependent Voigt, Galatry, Rautian, HTP). Some of these line shapes have been proposed for the high-resolution spectroscopy of gases; however, their knowledge can be relevant also for the condensed matter spectroscopy.

Suggested Citation

  • Amelia Carolina Sparavigna, 2024. "The Fitted q-Gaussian Function, from Voigt Profile to Kubo Lineshape," International Journal of Sciences, Office ijSciences, vol. 13(03), pages 1-16, March.
    • Handle: RePEc:adm:journl:v:13:y:2024:i:3:p:1-16
    DOI: 10.18483/ijSci.2750
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    References listed on IDEAS

    as
    1. Amelia Carolina Sparavigna, 2023. "q-Gaussian Tsallis Line Shapes and Raman Spectral Bands," International Journal of Sciences, Office ijSciences, vol. 12(03), pages 27-40, March.
    2. Amelia Carolina Sparavigna, 2023. "SERS Spectral Bands of L-Cysteine, Cysteamine and Homocysteine Fitted by Tsallis q-Gaussian Functions," International Journal of Sciences, Office ijSciences, vol. 12(09), pages 14-24, September.
    3. Amelia Carolina Sparavigna, 2023. "Convolution and Fourier Transform: from Gaussian and Lorentzian Functions to q-Gaussian Tsallis Functions," International Journal of Sciences, Office ijSciences, vol. 12(11), pages 7-11, November.
    4. Amelia Carolina Sparavigna, 2024. "Kubo Lineshape and its Fitted q-Gaussian Tsallis Function," International Journal of Sciences, Office ijSciences, vol. 13(01), pages 1-9, January.
    5. R. Hanel & S. Thurner & C. Tsallis, 2009. "Limit distributions of scale-invariant probabilistic models of correlated random variables with the q-Gaussian as an explicit example," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 72(2), pages 263-268, November.
    6. Amelia Carolina Sparavigna, 2023. "q-Gaussian Tsallis Functions and Egelstaff-Schofield Spectral Line Shapes," International Journal of Sciences, Office ijSciences, vol. 12(03), pages 47-50, March.
    Full references (including those not matched with items on IDEAS)

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