Modified atomic orbital theory applied to the calculation of high-lying _{2}(K,T)_{n}^{±1,3}P° rydberg series of he-like ions

Author(s)
Ibrahima Sakho

ABSTRACT

The_{2}(1,0)_{n}^{-1}P°, 2(1,0)_{n}^{ +3}P°, _{2}(0,1)_{n}^{+1}P°, and _{2}(0,1)_{n}^{-3}P° intershell Rydberg series of the helium-like ions are investigated in the framework of the modified Atomic Orbital Theory (MAOT). High-lying energy resonances of He and excitation energy of the he- lium-like Li+ up to n = 10 are tabulated. In addition, total energy positions for low-lying states (n<4) of the heliumisoelectronic sequence with Z = 2, 3, ...,10 are also presented. All the current results agreed well with the published values. The data listed in this paper may be useful guideline for future experimental and theoretical studies in high-lying ^{1,3}P° autoionizing states of two-electron systems.

The

Cite this paper

Sakho, I. (2012) Modified atomic orbital theory applied to the calculation of high-lying_{2}(K,T)_{n}^{±1,3}P° rydberg series of he-like ions. *Natural Science*, **4**, 73-78. doi: 10.4236/ns.2012.41011.

Sakho, I. (2012) Modified atomic orbital theory applied to the calculation of high-lying

References

[1] Madden, R.P. and Codling, K. (1963) New autoionizing atomic energy levels in He, Ne, and Ar, Physical Review Letters, 10, 516-518. doi:10.1103/PhysRevLett.10.516

[2] Herrick, D.R. and Sinanoglu, O. (1975) Comparison of doubly-excited helium energy levels, isoelectronic series, autoionization lifetimes, and group-theoretical configure- tion-mixing predictions with large-configuration-interac- tion calculations and experimental spectra. Physical Review A, 11, 97-110. doi:10.1103/PhysRevA.11.97

[3] Sinanoglu, O. and Herrick, D.R. (1975) Group theoretic prediction of configuration mixing effects due to Coulomb repulsions in atoms with applications to doubly—excited spectra. Journal of Chemical Physics, 62, 886-892. doi:10.1063/1.430540

[4] Lin, C.D. (1986), Doubly excited states, including new classification schemes. Advances in Atomic and Mole- cular Physics, 22, 77-142. doi:10.1016/S0065-2199(08)60335-8

[5] Watanabe, S. and Lin, C.D. (1986) Demonstration of mo- leculelike modes of doubly excited states in hypersph- erical coordinates. Physical Review A, 34, 823-837. doi:10.1103/PhysRevA.34.823

[6] Chen M.-Keh. (1997) Doubly excited 1,3Se, 1,3Po, and 1,3De resonances in He below the n =2 He+ threshold. Physical Review A, 56, 4537-4544. doi:10.1103/PhysRevA.56.4537

[7] Oza, D.H. (1986) Phase shifts and resonances for electron scattering by He+ below the N = 2 threshold. Physical Review A, 33, 824-838. doi:10.1103/PhysRevA.33.824

[8] Conneely, M.J. and Lipsky, L. (1978) Widths and configuration mixings of two-electron systems below the N = 2 threshold. Journal of Physics B: Atomic, Molecular and Optical Physics, 11, 4135.

[9] Ho, Y.K. (1991) Doubly excited 1P? resonances in He, Z Physics D Atoms, Molecules and Clusters, 21, 191-196. doi:10.1007/BF01426371

[10] Ho, Y.K. (1991) Complex-coordinate calculations for doubly excited states of two-electron atoms. Physical Review A, 23, 2137-2149. doi:10.1103/PhysRevA.23.2137

[11] Chung, K.T. and Lin, C.D. (1998) Doubly excited states of Li+ below the N = 2 and N= 3 thresholds of Li2+, Atomic Data and Nuclear Data Tables, 69, 101-124. doi:10.1006/adnd.1998.0772

[12] Ivanov, A.I. and Safronova, I.U. (1993) Calculation of the correlation part of the energy of two-electron systems. Optika Spectrosk, 75, 516.

[13] Sakho, I. Konté, A. Ndao, A.S. Biaye, M. and Wagué, A. (2010) Calculations of (nl2) and (3lnl’) autoionizing states in two-electron systems. Physica Scripta, 82, 035301. doi:10.1088/0031-8949/82/03/035301

[14] Sakho, I. (2010) High-lying 1P? doubly-excited states of H? and He below the N = 3 - 13 hydrogenic thresholds. European Physical Journal D, 59, 171-177. doi:10.1140/epjd/e2010-00163-y

[15] Sakho, I. (2011) Screening constant by unit nuclear charge calculations of 1,3Se, 1,3P° and 1,3De intershell Rydberg states of the helium-like ions below the N = 2 hydrogenic thresholds. European Physical Journal D, 61, 267-283. doi:10.1140/epjd/e2010-10294-8

[16] Khar, K. and Ho, Y.K. (2006) Doubly excited inter-shell P-wave resonances of helium in weakly coupled plasma. Journal of Physics B: Atomic, Molecular and Optical Physics, 39, 2445-2453. doi:10.1088/0953-4075/39/11/010

[17] Sakho, I. (2010) A modification of atomic orbital theory and its application to (1snl)1L? and (nl2) 1L? excited states of He-like ions. Journal of Atomic and Molecular Sciences, 2,103. doi: 10.4208/jams.022510.031010a

[18] Sakho, I. (2010) Modified atomic orbital calculations for (1s, nl)3L? and excited states of He isoe- lectronic sequence. Journal of Atomic and Molecular Sciences, 3, 224. doi: 10.4208/jams.042710.051510a

[19] Hicks, P.J. and Comer, J. (1975) Ejected electron spectroscopy of autoionizing states excited by low energy electron impact. Journal of Physics B: Atomic, Molecular and Optical Physics, 8, 1866. doi:10.1088/0022-3700/8/11/022

[20] Diehl, S. Cubaynes, D. Bizau, J.-M. Wuilleumier, F.J. Kenedy, E.T. Mosnier, J.-P. and Morgan, T.J. (1999) New high-resolution measurements of doubly excited states of Li+. Journal of Physics B: Atomic, Molecular and Optical Physics, 32, 503. doi:10.1088/0953-4075/32/17/305

[1] Madden, R.P. and Codling, K. (1963) New autoionizing atomic energy levels in He, Ne, and Ar, Physical Review Letters, 10, 516-518. doi:10.1103/PhysRevLett.10.516

[2] Herrick, D.R. and Sinanoglu, O. (1975) Comparison of doubly-excited helium energy levels, isoelectronic series, autoionization lifetimes, and group-theoretical configure- tion-mixing predictions with large-configuration-interac- tion calculations and experimental spectra. Physical Review A, 11, 97-110. doi:10.1103/PhysRevA.11.97

[3] Sinanoglu, O. and Herrick, D.R. (1975) Group theoretic prediction of configuration mixing effects due to Coulomb repulsions in atoms with applications to doubly—excited spectra. Journal of Chemical Physics, 62, 886-892. doi:10.1063/1.430540

[4] Lin, C.D. (1986), Doubly excited states, including new classification schemes. Advances in Atomic and Mole- cular Physics, 22, 77-142. doi:10.1016/S0065-2199(08)60335-8

[5] Watanabe, S. and Lin, C.D. (1986) Demonstration of mo- leculelike modes of doubly excited states in hypersph- erical coordinates. Physical Review A, 34, 823-837. doi:10.1103/PhysRevA.34.823

[6] Chen M.-Keh. (1997) Doubly excited 1,3Se, 1,3Po, and 1,3De resonances in He below the n =2 He+ threshold. Physical Review A, 56, 4537-4544. doi:10.1103/PhysRevA.56.4537

[7] Oza, D.H. (1986) Phase shifts and resonances for electron scattering by He+ below the N = 2 threshold. Physical Review A, 33, 824-838. doi:10.1103/PhysRevA.33.824

[8] Conneely, M.J. and Lipsky, L. (1978) Widths and configuration mixings of two-electron systems below the N = 2 threshold. Journal of Physics B: Atomic, Molecular and Optical Physics, 11, 4135.

[9] Ho, Y.K. (1991) Doubly excited 1P? resonances in He, Z Physics D Atoms, Molecules and Clusters, 21, 191-196. doi:10.1007/BF01426371

[10] Ho, Y.K. (1991) Complex-coordinate calculations for doubly excited states of two-electron atoms. Physical Review A, 23, 2137-2149. doi:10.1103/PhysRevA.23.2137

[11] Chung, K.T. and Lin, C.D. (1998) Doubly excited states of Li+ below the N = 2 and N= 3 thresholds of Li2+, Atomic Data and Nuclear Data Tables, 69, 101-124. doi:10.1006/adnd.1998.0772

[12] Ivanov, A.I. and Safronova, I.U. (1993) Calculation of the correlation part of the energy of two-electron systems. Optika Spectrosk, 75, 516.

[13] Sakho, I. Konté, A. Ndao, A.S. Biaye, M. and Wagué, A. (2010) Calculations of (nl2) and (3lnl’) autoionizing states in two-electron systems. Physica Scripta, 82, 035301. doi:10.1088/0031-8949/82/03/035301

[14] Sakho, I. (2010) High-lying 1P? doubly-excited states of H? and He below the N = 3 - 13 hydrogenic thresholds. European Physical Journal D, 59, 171-177. doi:10.1140/epjd/e2010-00163-y

[15] Sakho, I. (2011) Screening constant by unit nuclear charge calculations of 1,3Se, 1,3P° and 1,3De intershell Rydberg states of the helium-like ions below the N = 2 hydrogenic thresholds. European Physical Journal D, 61, 267-283. doi:10.1140/epjd/e2010-10294-8

[16] Khar, K. and Ho, Y.K. (2006) Doubly excited inter-shell P-wave resonances of helium in weakly coupled plasma. Journal of Physics B: Atomic, Molecular and Optical Physics, 39, 2445-2453. doi:10.1088/0953-4075/39/11/010

[17] Sakho, I. (2010) A modification of atomic orbital theory and its application to (1snl)1L? and (nl2) 1L? excited states of He-like ions. Journal of Atomic and Molecular Sciences, 2,103. doi: 10.4208/jams.022510.031010a

[18] Sakho, I. (2010) Modified atomic orbital calculations for (1s, nl)3L? and excited states of He isoe- lectronic sequence. Journal of Atomic and Molecular Sciences, 3, 224. doi: 10.4208/jams.042710.051510a

[19] Hicks, P.J. and Comer, J. (1975) Ejected electron spectroscopy of autoionizing states excited by low energy electron impact. Journal of Physics B: Atomic, Molecular and Optical Physics, 8, 1866. doi:10.1088/0022-3700/8/11/022

[20] Diehl, S. Cubaynes, D. Bizau, J.-M. Wuilleumier, F.J. Kenedy, E.T. Mosnier, J.-P. and Morgan, T.J. (1999) New high-resolution measurements of doubly excited states of Li+. Journal of Physics B: Atomic, Molecular and Optical Physics, 32, 503. doi:10.1088/0953-4075/32/17/305