The Voigt Profile as a Sum of a Gaussian and a Lorentzian Functions, when the Weight Coefficient Depends Only on the Widths Ratio

Assuming that V (x) ≈ (1 − µ) G1(x) + µL1(x) is a very good approximation of the Voigt function, in this work we analytically find µ from mathematical properties of V (x). G1(x) and L1(x) represent a Gaussian and a Lorentzian function, respectively, with the same height and HWHM as V (x), the Voigt...

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Detalles Bibliográficos
Autores principales: Di Rocco, Héctor Oscar, Cruzado, Alicia
Formato: Articulo
Lenguaje:Inglés
Publicado: 2012
Materias:
Física
Voigt function
Gaussian and a Lorentzian function
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/128689
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-128689
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Voigt function
Gaussian and a Lorentzian function
spellingShingle Física
Voigt function
Gaussian and a Lorentzian function
Di Rocco, Héctor Oscar
Cruzado, Alicia
The Voigt Profile as a Sum of a Gaussian and a Lorentzian Functions, when the Weight Coefficient Depends Only on the Widths Ratio
topic_facet Física
Voigt function
Gaussian and a Lorentzian function
description Assuming that V (x) ≈ (1 − µ) G1(x) + µL1(x) is a very good approximation of the Voigt function, in this work we analytically find µ from mathematical properties of V (x). G1(x) and L1(x) represent a Gaussian and a Lorentzian function, respectively, with the same height and HWHM as V (x), the Voigt function, x being the distance from the fufind that, the Voigt function calculated with the expression we have obtained for µ, deviates from the exact value less than 0.5% with respect to the peak value.
format Articulo
Articulo
author Di Rocco, Héctor Oscar
Cruzado, Alicia
author_facet Di Rocco, Héctor Oscar
Cruzado, Alicia
author_sort Di Rocco, Héctor Oscar
title The Voigt Profile as a Sum of a Gaussian and a Lorentzian Functions, when the Weight Coefficient Depends Only on the Widths Ratio
title_short The Voigt Profile as a Sum of a Gaussian and a Lorentzian Functions, when the Weight Coefficient Depends Only on the Widths Ratio
title_full The Voigt Profile as a Sum of a Gaussian and a Lorentzian Functions, when the Weight Coefficient Depends Only on the Widths Ratio
title_fullStr The Voigt Profile as a Sum of a Gaussian and a Lorentzian Functions, when the Weight Coefficient Depends Only on the Widths Ratio
title_full_unstemmed The Voigt Profile as a Sum of a Gaussian and a Lorentzian Functions, when the Weight Coefficient Depends Only on the Widths Ratio
title_sort voigt profile as a sum of a gaussian and a lorentzian functions, when the weight coefficient depends only on the widths ratio
publishDate 2012
url http://sedici.unlp.edu.ar/handle/10915/128689
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