PseudoVoigtCurve Class

public class PseudoVoigtCurve : NonlinearCurve

Public Class PseudoVoigtCurve
	Inherits NonlinearCurve

public ref class PseudoVoigtCurve : public NonlinearCurve

type PseudoVoigtCurve = 
    class
        inherit NonlinearCurve
    end

Inheritance

Object  →  Curve  →  NonlinearCurve  →  PseudoVoigtCurve

Use the PseudoVoigtCurve class to represent a five-parameter pseudo-Voigt profile, which is a linear combination of Gaussian and Lorentzian (Cauchy) functions commonly used in spectroscopy and diffraction analysis.

The Voigt profile is the convolution of a Gaussian and a Lorentzian, representing the combined effects of Doppler and pressure broadening. The pseudo-Voigt profile is a computationally efficient approximation that uses a simple weighted sum instead of convolution. It is widely used in X-ray photoelectron spectroscopy (XPS), X-ray diffraction (XRD), and other spectroscopic techniques.

The equation is:

where G is a normalized Gaussian and L is a normalized Lorentzian, both centered at μ with width w.

Parameters:

• A – Peak amplitude (total area under the peak). See Amplitude.
• μ – Peak center (position of maximum). See Center.
• w – Peak width (full width at half maximum). See Width.
• η – Mixing parameter (0 = pure Gaussian, 1 = pure Lorentzian). See MixingParameter.
• C – Baseline offset. See Offset.

Applications:

• X-ray photoelectron spectroscopy (XPS)
• X-ray diffraction (XRD) peak fitting
• Raman spectroscopy
• Nuclear magnetic resonance (NMR)
• Infrared and UV-visible spectroscopy
• Powder diffraction analysis

For details on how to fit a curve of this type, see the NonlinearCurveFitter class.

Reference