simple approximation
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Mathematics ◽  
2022 ◽  
Vol 10 (2) ◽  
pp. 210
Author(s):  
Yihong Wang ◽  
Bin Zhou ◽  
Rong Zhao ◽  
Bubin Wang ◽  
Qi Liu ◽  
...  

A simple approximation scheme to describe the half width of the Voigt profile as a function of the relative contributions of Gaussian and Lorentzian broadening is presented. The proposed approximation scheme is highly accurate and provides an accuracy better than 10−17 for arbitrary αL/αG ratios. In particular, the accuracy reaches an astonishing 10−34 (quadruple precision) in the domain 0 ≤ αL/αG ≤ 0.2371 ∪ αL/αG ≥ 33.8786.


2020 ◽  
Vol 153 (23) ◽  
pp. 234108
Author(s):  
Carlos M. Bustamante ◽  
Tchavdar N. Todorov ◽  
Cristián G. Sánchez ◽  
Andrew Horsfield ◽  
Damian A. Scherlis

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