Verification of Distribution Normality and Independence of Measured Integral Intensity of Broad Groups of Signals in High-Resolution1H NMR Spectra

Abstract

It is shown that in high-resolution¹H NMR for broad groups of signals at a rather high noise level the measurements of the integrated intensities in sequentially recorded spectra are independent. Distribution of the measurement errors with sufficient accuracy correspond to the normal law. However, at a low noise successive measurements performed during short periods of time are not independent. To obtain data suitable for statistical processing it is necessary to record spectra with an interval of more than 1 hour. Distribution of the measurement errors is bimodal regardless of the method of the baseline correction. Normal distribution law is only a rough approximation in that case.