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Thermonicolet Omnic Software User's Guide 6.1 (PDF) - Charles E ...

Thermonicolet Omnic Software User's Guide 6.1 (PDF) - Charles E ...

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Converting<br />

spectra to their first<br />

or second derivatives<br />

The first derivative<br />

Use Derivative in the Process menu to convert the selected spectra to their first or<br />

second derivatives. The first derivative is useful for revealing peaks that appear as<br />

shoulders in the original spectra. Use the second derivative to find the exact<br />

location (center) of shoulders in the original spectra.<br />

The original spectra can be in any units when you use Derivative; however, the<br />

derivative operation is usually applied to absorbance, Kubelka-Munk or<br />

photoacoustic spectra.<br />

The first derivative shows the rate of change across the entire spectrum. This means<br />

that in the first derivative, shoulders become narrower and thus are easier to see. It is<br />

important to remember that the maximum and minimum and minimum points in the<br />

first derivative curve are the points of maximum rate of change and not the<br />

maximum and minimum points of the original peaks. The maximum and minimum<br />

points of the original peaks have a Y value of zero in the first derivative.<br />

The following illustration shows a spectrum with the first derivative above it.<br />

The second derivative<br />

The second derivative shows the change in the rate of change across the spectrum.<br />

This curve is more complex than the first derivative, with significantly narrower<br />

bands. The second derivative is useful for finding exact peak locations since peaks<br />

in the second derivative appear at the same locations as peaks in the original<br />

spectrum.<br />

The following example shows a spectrum with the first derivative above it and the<br />

second derivative at the top.<br />

222 Thermo Nicolet

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