Deconvolution of mass spectra measured with a non-uniform detector array to give accurate ion abundances

Array detectors are under active development since they offer large improvements in the efficiency of mass spectrum measurements. High quality is always a requirement whether array detectors are used for ions, electrons, UV, x-rays, etc., but in mass spectrometry the very high accuracy frequently needed in ion abundance measurements for isotope ratios is unique. These demands necessitate modelling the measurement process and careful deconvolution of the measured data. A linear model in terms of matrix algebra is presented in which the incident spectrum (unknown) and the measured spectrum are represented by column matrices and the action of the detector array on the incident spectrum is represented by an experimentally measurable square 'A' matrix. Residual noise in this matrix can be minimized following a singular value decomposition procedure and its use in 'forward deconvolution' of measured spectra is discussed. The random error in the incident ion counts is accounted for after the deconvolution since this is not an error from the perspective of the detector. The microchannel plate electron multiplier gain distribution is an important feature of the deconvolution.