The approximation of the Voigt line shape by the sum of a Gaussian and a Lorentzian of equal width is explored. The relative intensities of these two lines in the approximate function are related to the widths of the components of the Voigt function using nonlinear least‐squares fitting. The useful range of the approximation includes lines sharper than Lorentzian and flatter at the top than Gaussian.
Topics
Regression analysis
REFERENCES
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W. Voigt, Münch. Ber., 603 (1912).
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A Lorentzian line shape modified by the inclusion of a fourth power term has been previously used to fit Mössbauer data. Note that since this represents a partial approach toward a Gaussian line shape when
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© 1974 The American Institute of Physics.
1974
The American Institute of Physics
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