Imaging of phase space of trapped ion cloud by observation of spatial distribution of Doppler shift

The optical-microwave double resonance technique being applied to trapped ions allows for measurements of hyperfine splitting with extremely high precision. This experimental data are indispensable for example in determination of such fundamental properties of nucleus and atomic electronic shell as gI- or gJ -Lande factors. Since hyperfine interactions lead to superposition of the atomic states with various angular momentum of atomic electronic shells, to couting the breakdown of J as a good quantum number, the appropriate and accurate analysis of experimental data requires the ones on higher laying, mainly metastable, levels. However the investigation of them in radiofrequency trap meets a diculties when increasing their occupation number.