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ZDD - [E] Exponentially-Modified Gaussian (EMG)

This is the Zero Distortion Density (ZDD) used in the GenHVL[E] models. This EMG 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 exponential in the EMG.

This is also the ZDD used in the GenNLC[E] models. For the GenNLC[E] 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.

[E] ZDD

a₀ = Area

a₁ = Center (as mean of underlying Gaussian)

a₂ = Width (as SD of underlying Gaussian)

a₃ = First Order Kinetic (Exponential) convolution width

Built-In Peak Model

  EMG (Chromatography, Statistical families)

User-Defined Peaks and View Functions

  EMG(x,area,center,width,e-tau) Exponential Modified Gaussian
  EMG_C(x,amplitude,center,width,e-tau) EMG cumulative
  EMG_CR(x,amplitude,center,width,e-tau) EMG reverse cumulative