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A new approach in nuclear quadrupole interaction data analysis: cross-correlation

The signal to noise ratio in hyperfine spectra split by nuclear quadrupole interactions can be improved significantly by cross correlating experimental with theoretical spectra, especially for higher spins. In part I of the paper we present all technical details of this new approach and give examples for half integer and integer spins. In part II we elucidate the difficulties which arise in the attempt to reconstruct distribution functions of the largest component of the electric field gradient tensor Vzz and the asymmetry parameter η from experimental line positions and profiles.