Analysis of NMR Spectra by Least Squares

Abstract

An iterative method for the least-squares analysis of an observed high-resolution NMR spectrum is described. The method is applicable even if not all lines are assignable, is not affected by symmetry in the Hamiltonian, yields an estimate of the ellipsoid of error, and converges relatively rapidly to a predetermined assignment. A computer program based on this method is described. Effectively infinite chemical shift may be introduced permitting the analysis of ABXY, etc., spectra. An illustration of its application to the analysis of the proton spectrum of 2-benzoylpyridine is given.