Peakshapes Gaussian

Nevertheless, to a first approximation the Gaussian peakshape can be assumed for a chromatographic peak. If/(r) detector response) as a function of time and tR is the retention time of the peak, then a Gaussian peak can be described by... 

These peakshapes are common in most types of chromatography and spectroscopy. A simplified equation for a Gaussian is... 

Gaussian and Lorentzian peakshapes of equal half-heights... 

The main difference between Gaussian and Lorentzian peakshapes is that the latter has a bigger tail, as illustrated in Figure 3.2 for two peaks with identical half-widths and heights. 

Asymmetric peakshapes often described by a Gaussian/Lorentzian model, (a) Tailing left is Gaussian and right Lorentzian. (b) Fronting left is Lorentzian and right Gaussian... 

In die Fourier transform of a real time series, die peakshapes in the real and imaginary halves of die spectrum differ. Ideally, the real spectrum corresponds to an absorption lineshape, and die imaginary spectrum to a dispersion lineshape, as illustrated in Figure 3.20. The absorption lineshape is equivalent to a pure peakshape such as a Lorentzian or Gaussian, whereas die dispersion lineshape is a little like a derivative. 

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