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Peak Functions

Symmetric Peak Functions

These peak functions exhibit a symmetry about the peak center. FWHM is the full width at half-maximum, the width of the peak at 50% of its amplitude.

Gaussian

Lorentzian

Logistic Peak

Complementary Error Function Peak

Modified Gaussian

Pearson VII

Gauss-Lorentzian Cross Product

Symmetric Double Sigmoidal (SDS)

Symmetric Double Gaussian Cumulative (SDC)

Laplace

Error

Student’s t

Asymmetric Peak Functions

These peak functions exhibit an asymmetry about the peak center. FWHM is the full width at half-maximum, the width of the peak at 50% of its amplitude. When a function can model both left and right shifted peaks, both types will be illustrated in the accompanying graph.

Log Normal

Extreme Value

Pulse Peak

Logistic Dose Response Peak

Exponential to Max Power Peak

Asymmetric Logistic Peak

Gamma

Weibull

Logistic Power Peak

Pulse Peak Modified with Power Term

Pulse Peak with Second Width Term

Intermediate Peak

Beta

Asymmetric Double Sigmoidal (ADS)

Asymmetric Double Gaussian Cumulative (ADC)

Equilibrium Peak

Exponentially Modified Gaussian (EMG)

Half-Gaussian Modified Gaussian (GMG)

Log Normal 4-Parameter

Extreme Value 4-Parameter Tailed

Extreme Value 4-Parameter Fronted

Inverted Gamma

Chi-Squared

F-Variance

Pearson IV