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ZDD - [G] Half-Gaussian Modified Gaussian (GMG)

This is the Zero Distortion Density (ZDD) used in the GenHVL[G] models. This GMG a₁ center parameter is the mean of the underlying Gaussian. The a₃ parameter in the ZDD nomenclature adjusts the third moment or skew. Here the skew is altered by the width of the convolved half-Gaussian in the GMG.

This is also the ZDD used in the GenNLC[G] models. For the GenNLC[G] models, a₀, a₁, and a₃ will be identical. The a₂ width or second moment term will reflect a kinetic time constant. Please see the GenHVL and GenNLC equivalence topic for further details.

[G] ZDD

a₀ = Area

a₁ = Center (as mean of underlying Gaussian)

a₂ = Width (as SD of underlying Gaussian)

a₃ = Half-Gaussian convolution width

Built-In Peak Model

  GMG (Chromatography, Statistical families)

User-Defined Peaks and View Functions

  GMG(x,area,center,width,g-sd) Half-Gaussian Modified Gaussian
  GMG_C(x,amplitude,center,width,g-sd) GMG cumulative
  GMG_CR(x,amplitude,center,width,g-sd) GMG reverse cumulative