Quantitative study on isotope effect of rubidium clusters

Because of the difficulty in measuring the cluster isotope displacement and identifying its causes, the resonance dissociation spectra, the moment shift and Zeeman energy shift of isotope cluster 87,85Rbn(n=1,2, 3,..., 13) are obtained by the combination of optical magnetic resonance and thermal dissociation techniques in this study. The quantitative calculation is carried out based on the conceptual model of the giant atom, and the results are in strict agreement with the measured results, which shows that rubidium clusters can be analyzed as giant-like atoms. Furthermore, 5s electron shell level structure of the rubidium cluster 87,85Rbn(n=1,2, 3,..., 92) is calculated using Zeeman level interval model. It is found that the main order and step distance of the 5s electron shell structure are similar to those of 3s single electron shell structure of sodium cluster in spherical symmetric. It is confirmed that the structure of the 5s electron shell of the rubidium cluster is determined by the largest energy gap of total Zeeman levels and the characteristic peaks of odd and even alternating and anomalous magnetic moments of special numbers such as n=2 are caused by the intrinsic properties of electrons and molecular structures. It is also found that 87Rbn and 85Rbn level shell structure is strictly consistent with the ratio of 3/2 magnitude relationship, and there are abnormal differences in spectral center frequency and broadening, which may be directly related to the 85,87Rb nuclide on the closed surface of the core-shell.