INTERPRETATION OF DATA IN MULTIDIMENSIONAL SPACES AND ITS APPLICATIONTO COULOMB-EXPLOSION IMAGING

A solution is presented for the problem of interpreting measurements o f data from many degrees of freedom where binning is prohibitive. A bi nninglike procedure is introduced in which data and theory are represe nted by a set of independent expectation values. A comparison between theory and experiment is then performed by a conventional procedure to gether with an additional test of the independence of the expectation values. Associated uncorrelated errors are derived as well. The applic ation of this method to Coulomb-explosion imaging is discussed. The me thod is illustrated by the analysis of the bending angle distribution of the CH2+ molecule from Coulomb-explosion imaging measurements.