The values of energies and autoionization widths of 4fF6s(J,,)nr, np [ J ] Tm states are presented. These values are calculated by the relativistic perturbation theory with zero-order model approximation. The contribution of effects of the first non-vanishing arder(fin1penurbatian theory orderfor the energiesandsecond order forthe autoionization widths) is formally calculated exactly. The effects o f higher perturbation theory orders are eRective!y accanzted fn:, "he s:~!es s-pcrpori!ian is redxed !a diagozn!irt:io?, of the secular energy matrix of the states with the same j , n, I and J.Two types of autoionization decay are possible forthe states investigated: Beutler-Fano decay and reorientation decay. The reorientation decay has been proved to be the main decay channel when it is due to the monopole interaction of the ejecting Rydberg electron with the atomic residue.Some possibilities of observation of the states studied and measurement of their autoionization widths are proposed.
The Hamiltonian formalism and the actionangle variablep for a generalized version of the Davey-Stewartson system is developed. Special cases include the usual Davey-Stewartson Il system and the 8 limit of the Davey-Stewartson I equations.
Trace amounts of Lu in geological samples have been measured at the level by use of atomization in vacuum. Atoms of Lu are selectively excited by a two-step laser excitation scheme to an auto-ionizing level. This level represents a permanent channel of decay enabling the excited Lu atoms to be ionized effectively. The ions are registered via a time-of-flight mass separator by a secondary electron multiplier. The integral ionic signal recorded is proportional to the amount of Lu in the samples. The calibration is characterized with very good linearity (3% average and 8% maximum deviation from linearity). The results obtained are compared with the concentration of Lu in samples previously measured by neutron activation analysis. For three of the samples a slight deviation ((20%) from the control data is observed. For the fourth sample the deviation is 70%. The possible reasons for this are analysed. If it is assumed that the measurement error originates from the experimental conditions, it might be due to some type of matrix effect (to avoid it, a special procedure of matrix exchange is required). Taking into account the linearity of the calibration and the ionic signal intensity registered, amounts of Lu at least one order of magnitude less than those of the lowest calibration point (1.432 ng of Lu)could be measured.
The 4f146s2nl (l=0,1,2, n=10-50) Rydberg states of Lu have been theoretically investigated. The energies and radiation lifetimes of these states have been calculated using relativistic perturbation theory with a zero-order model approximation. The contribution of the main channels of the Rydberg electron radiation decay has been considered in detail. The energy accuracy reaches approximately 1%. Interesting non-Coulomb properties have been predicted, their action is particularly strong in the radiation decay processes.
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