Estimation of the critical charge for atomic isoelectronic series

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Figures referred in the text, pdf files:

1. Ground-state energy in the screened Coulomb potential, in atomic units
2. The same as Fig. 1 but for an excited 2p-state
3. Shape of an effective potential for l=1, delta =0.25, and gamma =0.97
4. Derivative of the ground-state energy in the screened Coulomb potential
5. Critical parameter gamma_c and energy levels in Yukawa potential as a function of the screening parameter delta found by summation of the corresponding perturbation series
6. The parameter delta of the one-particle model for different isoelectronic series
7. Binding energy (found by summation of 1/Z-expansion) for the groung and an excited 1s 2s 3S states of two-electron isoelectronic series
8. Electron affinities and surcharges as functions of the number of electrons
9. Critical charge for helium isoelectronic series in a magnetic field
10. Surcharge, S_e, as a function of the magnetic field strength, B, for noble gas atoms

More figures:

• Critical charge for helium in a magnetic field, comparison with the model
• Finding the critical charge for helium isoelectronic series (the ground state) by extrapolating of ionization energy and by extrapolating of the screening parameter
• Finding the critical charge for helium isoelectronic series (lowest triplet state) by extrapolating of ionization energy and by extrapolating of the screening parameter
• Finding the critical charge for helium isoelectronic series (ground state) by extrapolating of the screening parameter
• Finding the critical charge for helium isoelectronic series (lowest triplet state) by extrapolating of the screening parameter
• Accuracy of the model for the lowest singlet/triplet states of helium
• The ground state of the model potential, E(lambda) for different delta
• 2p-state of the model potential, E(lambda) for different delta
• Ionization energy as a function of Z for He isoelectronic series
• Ionization energy as a function of Z for Li isoelectronic series (N=3)
• Ionization energy as a function of Z for Ne isoelectronic series (N=10)
• Ionization energy as a function of Z for Ar isoelectronic series (N=18)
• Critical charge for four-electron atoms in a magnetic field (scaled units)
• Critical charge for 10-electron atoms (Ne-like) in a magnetic field, m=0,1-channels
• Surcharge for noble gases
• Critical charges for screened Coulomb potential vs energies in Yukawa potential
• Fitting the parameter delta for the one-particle model to the ground state of 36-electron atoms
• Fitting the parameter delta for the one-particle model to the ground state of 38-electron atoms
• Fitting the parameter delta for the one-particle model to the ground state of 54-electron atoms
• Fitting the parameter delta for the one-particle model to the ground state of 56-electron atoms
• Ionization energy for helium isoelectronic series, ground and triplet states, scaled units, and corresponding parameters delta
• Fitting the parameter delta for the one-particle model to the ground state of K-like and Ca-like ions
• Fitting the parameter delta for the one-particle model to atoms with 3p-electrons (Al, Si, P, S, Cl, Ar-like)
• Fitting the parameter delta for the one-particle model to the energy of Na and Mg-like atoms
• Ionization energies and fitted parameters delta for atoms with 2p-electron in outer shell (B, C, N, O, F, Ne-like)
• He-like ions: 3/2 a1, 3/2 a2 (variational), r (model), and 1/delta/Z (model)

Texts of FORTRAN programs

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