The errors in determining the area under an absorption curve from the first-derivative curve by a numerical integration method are calculated for gaussian and lorentzian lineshapes. The errors are greater for lorentzian lines, where a range of integration greater than 110 times the peak-to-peak linewidth is necessary to reduce the error to below 2%. The application of the method to the determination of ESR spin concentrations is discussed.
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Peter L. Hall (1972) studied this question.
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