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Voigt profile information


(Centered) Voigt
Probability density function
Plot of the centered Voigt profile for four cases
Plot of the centered Voigt profile for four cases. Each case has a full width at half-maximum of very nearly 3.6. The black and red profiles are the limiting cases of the Gaussian (γ =0) and the Lorentzian (σ =0) profiles respectively.
Cumulative distribution function
Centered Voigt CDF.
Parameters
Support
PDF
CDF (complicated - see text)
Mean (not defined)
Median
Mode
Variance (not defined)
Skewness (not defined)
Excess kurtosis (not defined)
MGF (not defined)
CF

The Voigt profile (named after Woldemar Voigt) is a probability distribution given by a convolution of a Cauchy-Lorentz distribution and a Gaussian distribution. It is often used in analyzing data from spectroscopy or diffraction.

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functions. Most commonly though, is the pseudo-Voigt function, a weighted sum of the former two (the full Voigt profile is a convolution of the two, but is computationally...

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List of probability distributions

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type-1 Gumbel distribution The Tracy–Widom distribution The Voigt distribution, or Voigt profile, is the convolution of a normal distribution and a Cauchy...

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Spectral line

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thermal Doppler broadening and the impact pressure broadening yields a Voigt profile. However, the different line broadening mechanisms are not always independent...

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then the system is inhomogeneously broadened. Homogeneity (physics) Voigt profile Spectral line shape Bass, Michael; Virendra N. Mahajan; Eric Van Stryland...

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Christopher Voigt is an American synthetic biologist, molecular biophysicist, and engineer. Voigt is the Daniel I.C. Wang Professor of Advanced Biotechnology...

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Deborah Joy Voigt (born August 4, 1960) is an American dramatic soprano who has sung roles in operas by Wagner and Richard Strauss. Deborah Joy Voigt was born...

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Faddeeva function

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where V and L are called the real and imaginary Voigt functions, since V(x,y) is the Voigt profile (up to prefactors). For sign-inverted arguments, the...

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until her retirement in 1949. Voigt was born in Quincy, Illinois, the daughter of Henry G. Voigt and Mary Tuffli Voigt. In 1913 she earned a PhD in German...

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Ellen Bryant Voigt

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Ellen Bryant Voigt (born May 9, 1943) is an American poet. She served as the Poet Laureate of Vermont. Voigt was born May 9, 1943, in Danville, Virginia...

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Olympic team. "Brooke Voigt". Team Canada - Official Olympic Team Website. Retrieved 28 January 2022. "National Team Profile: Brooke Voigt". Canada Snowboard...

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Siegfried Voigt (born 3 October 1950) is a former East German handball player who competed in the 1972 Summer Olympics and in the 1980 Summer Olympics...

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unable to catch him, saying he had killed 17 victims. Zodiac expert Tom Voigt theorizes that the reason why the letter was postmarked from Pleasanton...

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Jorinde Voigt is a German artist, best-known for large-scale drawings that develop complex notation systems derived from music, philosophy, and phenomenology...

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Doppler parameter

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Srianand, Raghunathan; Choudhury, Tirthankar Roy; Khaire, Vikram (2017). "VoIgt profile Parameter Estimation Routine (viper): H I photoionization rate at z...

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