Theoretical Research On The Energy Sturcure And Oscillator Strength Of Excited States For Mn²²⁺

The development directions and the present main research contents of atomic and molecular physics are commented firstly. After the summarization of the methods in the theory of atomic structure, the occasion that highly excited and highly charged ions have been the important research area is expounded. The property of the Lithium-like atoms,especially,the ions of three electrons with 1s2–core is important because of their particularity. In this paper, the summarization of the methods in dealing with the lithium-like ions, the principle and the achievement of Full-core plus correlation (FCPC) are narrated in detail. The FCPC method is extended to calculated the energy structures of 1s2nl (l = d, f;n≤9) states for Mn²²⁺ ion .The non-relativistic energies and wave functions are calculated by using Rayleigh-Ritz's variation method. Relativistic and mass-polarization effects on the energies are included as the first-order perturbation. The quantum-electrodynamics contribution and higher-order relativistic contribution are evaluate by using effective nuclear charges .For obtaining the high-precision theoretical results, the correction of core, and the higher l contributions to the energy are also calculated. The fine structure is calculated by using the spin-orbit and the spin-other-orbit interaction operators.The quantum defects of 1s2nl (l = d, f;n≤9) two Rydberg series for Mn²²⁺ion are determined by the single-channel quantum defect theory. The energies of any highly excite states with n≥10 also can be reliably predicted by using the quantum defects which are function of energy.The dipole oscillator strengths for the 1s2nd-1s2nf (n≤9) transitions of Mn²²⁺ ion are also calculated with FCPC wave functions obtained above. Combining the single channel quantum defect theory with the discrete oscillator strengths, the oscillator strengths for transitions and the oscillator strength densities corresponding to the bound-free transitions from a certain initial state to all final states of the Rydberg series are also obtained, and realize the theoretical research on the property of the whole energy region for Mn²²⁺ dipole transitions.