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q-Gaussian Tsallis Line Shapes and Raman Spectral Bands

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  • Amelia Carolina Sparavigna

Abstract

q-Gaussians are probability distributions having their origin in the framework of Tsallis statistics. A continuous real parameter q is characterizing them so that, in the range 1

Suggested Citation

  • 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.
    • Handle: RePEc:adm:journl:v:12:y:2023:i:3:p:27-40
    DOI: 10.18483/ijSci.2671
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Amelia Carolina Sparavigna, 2024. "Graphene, Graphene Oxide and Carbon Nanotubes in Raman Spectroscopy," International Journal of Sciences, Office ijSciences, vol. 13(07), pages 1-26, July.
    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, 2024. "Kubo Lineshape and its Fitted q-Gaussian Tsallis Function," International Journal of Sciences, Office ijSciences, vol. 13(01), pages 1-9, January.
    4. Amelia Carolina Sparavigna, 2024. "Hydroxyl-Stretching Region in the Raman Broad Scans on Minerals of the Vivianite Group (Vivianite, Baricite, Bobierrite, Annabergite, Erythrite)," International Journal of Sciences, Office ijSciences, vol. 13(08), pages 23-36, August.
    5. Amelia Carolina Sparavigna, 2024. "Raman Spectroscopy of Siderite with q-Gaussian and split-q-Gaussian Analyses," International Journal of Sciences, Office ijSciences, vol. 13(02), pages 8-21, February.
    6. Amelia Carolina Sparavigna, 2024. "Raman Broad Scans of Rare Earth Oxide (REO) Glasses from RRUFF Database, Compared to the Raman spectra of RE Oxides from Raman Open Database," International Journal of Sciences, Office ijSciences, vol. 13(07), pages 52-64, July.
    7. Amelia Carolina Sparavigna, 2024. "q-Gaussian and q-BWF Functions Applied to the Decomposition of Pulsar Profiles: Preliminary Results," International Journal of Sciences, Office ijSciences, vol. 13(06), pages 1-9, June.
    8. 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.
    9. Amelia Carolina Sparavigna, 2024. "Water, q-Gaussians and Raman Spectroscopy," International Journal of Sciences, Office ijSciences, vol. 13(03), pages 17-25, March.
    10. Amelia Carolina Sparavigna, 2024. "Gypsum Crystallization Water: Comparing a Laser Excited Raman Spectrum with a Mercury Resonance Radiation Excited Spectrum (Rasetti Technique)," International Journal of Sciences, Office ijSciences, vol. 13(09), pages 42-49, September.
    11. Amelia Carolina Sparavigna, 2024. "Applying q-Gaussians to the OH-stretching Raman bands of Water and Ice," International Journal of Sciences, Office ijSciences, vol. 13(04), pages 1-10, April.
    12. 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.
    13. 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.

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