Hu Mu-Hong

Energy and Oscillator Strength of V20+ Ion

The ionization potentials and fine structure splittings of 1s2nl (l = s, p, and d; n ⩽ 9) states for lithium-like V20+ ion are calculated by using the full-core plus correlation (FCPC) method. The quantum defects of these three Rydberg series are determined according to the single-channel quantum defect theory (QDT). The energies of any highly excited states with n ⩾ 10 for these series can be reliably predicted using the quantum defects that are function of energy. The dipole oscillator strengths for the 1s22s–1s2np and 1s22p–1s2nd (n ⩽ 9) transitions of V20+ ion are calculated with the energies and FCPC wave functions obtained above. Combining the QDT with the discrete oscillator strengths, the discrete oscillator strengths for the transitions from the given initial state to highly excited states (n ⩾ 10) and the oscillator strength density corresponding to the bound-free transitions are obtained.

Oscillator strengths for 2 2S–n2 P transitions of the lithium isoelectronic sequence from Z = 11 to 20

The dipole-length, dipole-velocity and dipole-acceleration absorption oscillator strengths for the 1s 2 2s{1s 2 np (3 • n • 9) transitions of lithium-like systems from Z = 11 to 20 are calculated by using the energies and the multiconflguration interaction wave functions obtained from a full core plus correlation method, in which relativistic and mass-polarization efiects on the energy, as the flrst-order perturbation corrections, are included. The results of three forms are in good agreement with each other, and closely agree with the experimental data available in the literature. Based on the quantum defects obtained with quantum defect theory (QDT), the discrete oscillator strengths for the transitions from the ground state to highly excited states 1s 2 np (n ‚ 10) and oscillator strength densities corresponding to the bound-free transitions are obtained for these ions.The dipole-length, dipole-velocity and dipole-acceleration absorption oscillator strengths for the 1s22s–1s2 np (3 ≤ n ≤ 9) transitions of lithium-like systems from Z = 11 to 20 are calculated by using the energies and the multi-configuration interaction wave functions obtained from a full core plus correlation method, in which relativistic and mass-polarization effects on the energy, as the first-order perturbation corrections, are included. The results of three forms are in good agreement with each other, and closely agree with the experimental data available in the literature. Based on the quantum defects obtained with quantum defect theory (QDT), the discrete oscillator strengths for the transitions from the ground state to highly excited states 1s2 np (n ≥ 10) and oscillator strength densities corresponding to the bound-free transitions are obtained for these ions.

Transition Energy and Oscillator Strength of 1s2 2p - 1s2nd for Fe23+ ion

Transition energies, wavelengths and dipole oscillator strengths of 1s22p – 1s2nd (3 ≤ n ≤ 9) for Fe23+ ion are calculated. The fine structure splittings of 1s2nd (n ≤ 9) states for this ion are also evaluated. The higher-order relativistic contribution to the energy is estimated under a hydrogenic approximation. The quantum defect of Rydberg series 1s2nd is determined according to the quantum defect theory. The energies of any highly excited states with (n ≥ 10) for this series can be reliably predicted using these quantum defects as input. The results in this paper excellently agree with the experimental data available in the literature. Combining the quantum defect theory with the discrete oscillator strengths, the discrete oscillator strengths for the transitions from same given initial state 1s22p to highly excited 1s2nd states (n ≥ 10) and the oscillator strength density corresponding to the bound-free transitions is obtained.

Transition energy and dipole oscillator strength for 1s22p-1s2nd of Cr21+ ion

The transition energies, wavelengths and dipole oscillator strengths of 1s22p-1s2nd (3 ≤ n ≤ 9) for Cr21+ ion are calculated. The fine structure splittings of 1s2nd (n ≤ 9) states for this ion are also calculated. In calculating energy, we have estimated the higher-order relativistic contribution under a hydrogenic approximation. The quantum defect of Rydberg series 1s2nd is determined according to the quantum defect theory. The results obtained in this paper excellently agree with the experimental data available in the literature. Combining the quantum defect theory with the discrete oscillator strengths, the discrete oscillator strengths for the transitions from initial state 1s22p to highly excited 1s2nd states (n ≥ 10) and the oscillator strength density corresponding to the bound—free transitions are obtained.

Transition energy and dipole oscillator strength of 1s23d-1s2 nf transitions for Sc18+ ion

The transition energies of the 1s23d-1s2nf (4⩽n⩽9) transitions and fine structure splittings of 1s2nf (n⩽9) states for Sc18+ ion are calculated with the full-core plus correlation method. The quantum defect of 1s2nf series is determined by the single-channel quantum defect theory. The energies of any highly excited states with n⩾10 for this series can be reliably predicted using the quantum defect as function of energy. Three alternative forms of the dipole oscillator strengths for the 1s23d-1s2nf (n⩽9) transitions of Sc18+ ion are calculated with the transition energies and wave functions obtained above. Combining the quantum defect theory with the discrete oscillator strengths, the discrete oscillator strengths for 1s23d-1s2nf (n > 9) transitions and the oscillator strengths densities corresponding to the bound-free transitions are obtained.

Behaviours of the excited states 1s2np along lithium isoelectronic sequence from Z = 11 to 20

Based on the obtained energy values of 1s2np (n  9) states for lithium-like systems from Z = 11 to 20 (by the authors of this paper: Hu M H and Wang Z W 2004 Chin. Phys. 13 662), this paper determines the quantum defects, as slowly varying function of energy, of this Rydberg series. Using them as input, it can predict the energies of any highly excited states below the ionization threshold for this series according to the quantum defect theory. The regularities of variation for quantum defects of the series along this isoelectronic sequence are physically analysed and discussed. The screening parameters, which are equal to the effective screening charge of the core-electrons, are also obtained.

Excitation Energies of 1s2ns (6 ≤ n ≤ 9) States for Lithium-Like Systems from Z =11 to 20

The non-relativistic energies of 1s2ns (6 ≤ n ≤ 9) states for the lithium-like systems from Z = 11 to 20 are calculated by using a full-core-plus-correlation (FCPC) method. The relativistic and mass-polarization effects on the energy are calculated by the first-order perturbation corrections. The correction from the quantum-electrodynamics effect is also included using effective nuclear charge. Based on these results and the quantum defect theory, the quantum defects of 1s2ns series for these ions, as a function of energy, are determined. The comparisons between the ionization potentials for 1s2ns states (6 ≤ n ≤ 9) obtained by the FCPC method and the semi-empirical method are carried out. The results show that their agreement is very well and the energies of all discrete states (n ≥ 10) below the ionization threshold of this series for the ions can be predicted by using their quantum defects.

Energy and fine structure of 1s 2 np(n≤9) states for lithium-like systems from Z=11 to 20

A new variation method is extended to study the atomic systems with higher nuclear charges and in more highly excited states. The non-relativistic energies of 1s2np (n≤ 9) states for the lithium-like systems from Z=11 to 20 are calculated using a full-core-plus-correlation method with multi-configuration interaction wavefunctions. Relativistic and mass-polarization effects on the energy are calculated as the first-order perturbation corrections. The fine structures are determined from the expectation values of spin-orbit and spin-other-orbit interaction operators in the Pauli–Breit approximation. The quantum-electrodynamics correction is also included. Our results are compared with experimental data in the literature.