Calculates the value of the pseudo-Voigt broadening function at the given wavenumbers, given the parameters of the peaks. This function is thread-safe.

mixedVoigt(location, scale_G, scale_L, amplitude, wavenum)

Arguments

location

Vector of location parameters of the peaks (\(cm^{-1}\))

scale_G

Vector of standard deviations \(\sigma_j\) of the Gaussian components.

scale_L

Vector of scale parameters \(\phi_j\) of the Lorentzian components.

amplitude

Vector of amplitudes of the peaks (a.u.)

wavenum

Vector of wavenumbers at which to compute the function.

Value

The value of the pseudo-Voigt function at the given wavenumbers.

References

Thompson, Cox & Hastings (1987) "Rietveld refinement of Debye--Scherrer synchrotron X-ray data from \(Al_2 O_3\)," J. Appl. Crystallogr. 20(2): 79--83, DOI: 10.1107/S0021889887087090

Examples

Cal_V <- seq(300,400,by=5) loc <- c(320,350,375) scG <- c(10,5,1) scL <- c(3,20,7) amp <- c(100,500,200) mixedVoigt(loc,scG,scL,amp,Cal_V)
#> [1] 160.2766 193.5083 230.8420 272.0324 316.8996 365.3277 416.7873 469.0559 #> [9] 516.4728 549.4013 557.7339 538.6236 502.5276 472.6569 474.5347 470.2952 #> [17] 360.9865 249.3725 179.7727 136.8177 108.1071