Abstract

An analytic atomic independent particle model adjusted to experimental single-particle energy levels is used to generate wave functions for the valence and excited states of N II. Using these wave functions in conjunction with the Born approximation and the Russell-Saunders LS-coupling scheme, we calculate optical oscillator strengths for various transitions from the 2<i>p</i><sup>2</sup>(<sup>3</sup><i>p</i><sub>0</sub>) ground state of N II. The results are compared with available experimental data and other calculations.

© 1979 Optical Society of America

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  1. A. L. Stewart, in Advances in Atomic and Molecular Physics, edited by D. R. Bates and I. Estermann (Academic, New York, 1967), Vol. 3, pp. 1–51.
  2. A. Dalgarno and N. Lynn, "Properties of the Helium Atom," Phys. Soc. Lond. A 70, 802–808 (1957).
  3. J. W. Cooper, "Photoionization from Other Atomic Subshells. A Model Study," Phys. Rev. 128, 681–693 (1962).
  4. M. S. Livingston and H. A. Bethe, "Nuclear Physics C. Nuclear Dynamics, Experimental," Rev. Mod. Phys. 9, 245–390 (1937).
  5. U. Fano, "Penetration of Protons, Alpha Particles, and Mesons," Ann. Rev. Nucl. Sci. 13, 1–66 (1963).
  6. A. Dalgarno and A. L. Stewart, "The Lamb Shift of Helium," Proc. Phys. Soc. Lond. A 76, 49–55 (1960).
  7. P. F. Gruzdev and V. K. Prokofev, "Oscillator Strengths of Resonance Multiplets in the Spectra of Atoms and Ions of Isoelectronic Series of the First, Second, and Third Periods," Opt. Spectrosc. USSR 21, 151–152 (1966).
  8. B. Warner and R. C. Kirkpatrick, "Atomic Oscillator Strengths-VI," Mon. Not. R. Astron. Soc. 142, 265–72 (1969).
  9. P. S. Kelly, "Transition Probablities in Nitrogen and Oxygen from Hartree-Fock-Slater Wave Functions," J. Quant. Spectrosc. Radiat. Transfer 4, 117–148 (1964).
  10. M. W. Smith and W. L. Wiese, "Graphical Presentations of Systematic Trends of Atomic Oscillator Strengths Along Isoelectronic Sequences and New Oscillator Strengths Derived by Interpolation," Astrophys. J. Suppl. 23, 103–192 (1971).
  11. J. V. Mallow and P. S. Bagus, "Ultraviolet Oscillator Strengths for Carbon, Nitrogen and Oxygen Ions," J. Quant. Spectrosc. Radiat. Transfer 16, 409–414 (1976).
  12. A. E. S. Green, D. L. Sellin, and A. S. Zachor, "Analytic Independent-Particle Model for Atoms," Phys. Rev. 184, 1–9 (1969).
  13. P. S. Ganas and A. E. S. Green, "Electron Impact Excitation of the Rare Gases," Phys. Rev. A 4, 182–193 (1971).
  14. P. A. Kazaks, P. S. Ganas, and A. E. S. Green, "Electron Impact Excitation and Ionization of Atomic Oxygen," Phys. Rev. A 6, 2169–2180 (1972).
  15. T. Sawada, P. S. Ganas, and A. E. S. Green, "Elastic Scattering of Electrons from N2," Phys. Rev. A 9, 1130–1135 (1974).
  16. K. J. Miller and A. E. S. Green, "Energy Levels and Potential Energy Curves for H2, N2 and O2 with an Independent Particle Model," J. Chem. Phys. 60, 2617–2626 (1974).
  17. C. E. Moore, Atomic Energy Levels, Natl. Bur. Std. (U.S.) Circulation No. 467 (U.S. GPO, Washington, D.C., 1958), Vol. I.
  18. A. E. S. Green and P. J. Wyatt, Atomic and Space Physics (Addison-Wesley, Reading, MA, 1965).
  19. B. W. Shore and D. H. Menzel, Principles of Atomic Spectra (Wiley, New York, 1968).
  20. J. A. Kernahan, A. E. Livingston, and E. H. Pinnington, "Beam-Foil Mean Life Measurements of Levels in N I - N V," Canad. J. Phys. 52, 1895–1902 (1974).
  21. F. Rohrlich, "Theoretical Multiplet Strengths," Astrophys. J. 129, 441–448 (1959).
  22. A. W. Weiss, "Correlation in Excited States of Atoms," in Advances in Atomic and Molecular Physics (Academic, New York, 1973), Vol. 9, pp. 1–46.
  23. O. Sinanoglu and S. L. Davis, "The Large Effects of Electron Correlation on the Multiplet Generalized Oscillator Strengths of Non-Closed Shell Systems: Be 1s22s2(1S) → 1s22s2p(1P) and B 1s22s22p(2P) → 1s22s2p2 (2D)," Chem. Phys. Lett. 32, 449–454 (1975).
  24. P. S. Ganas and A. E. S. Green, Phys. Rev. (to be published).

1976

J. V. Mallow and P. S. Bagus, "Ultraviolet Oscillator Strengths for Carbon, Nitrogen and Oxygen Ions," J. Quant. Spectrosc. Radiat. Transfer 16, 409–414 (1976).

1975

O. Sinanoglu and S. L. Davis, "The Large Effects of Electron Correlation on the Multiplet Generalized Oscillator Strengths of Non-Closed Shell Systems: Be 1s22s2(1S) → 1s22s2p(1P) and B 1s22s22p(2P) → 1s22s2p2 (2D)," Chem. Phys. Lett. 32, 449–454 (1975).

1974

T. Sawada, P. S. Ganas, and A. E. S. Green, "Elastic Scattering of Electrons from N2," Phys. Rev. A 9, 1130–1135 (1974).

K. J. Miller and A. E. S. Green, "Energy Levels and Potential Energy Curves for H2, N2 and O2 with an Independent Particle Model," J. Chem. Phys. 60, 2617–2626 (1974).

J. A. Kernahan, A. E. Livingston, and E. H. Pinnington, "Beam-Foil Mean Life Measurements of Levels in N I - N V," Canad. J. Phys. 52, 1895–1902 (1974).

1972

P. A. Kazaks, P. S. Ganas, and A. E. S. Green, "Electron Impact Excitation and Ionization of Atomic Oxygen," Phys. Rev. A 6, 2169–2180 (1972).

1971

M. W. Smith and W. L. Wiese, "Graphical Presentations of Systematic Trends of Atomic Oscillator Strengths Along Isoelectronic Sequences and New Oscillator Strengths Derived by Interpolation," Astrophys. J. Suppl. 23, 103–192 (1971).

P. S. Ganas and A. E. S. Green, "Electron Impact Excitation of the Rare Gases," Phys. Rev. A 4, 182–193 (1971).

1969

A. E. S. Green, D. L. Sellin, and A. S. Zachor, "Analytic Independent-Particle Model for Atoms," Phys. Rev. 184, 1–9 (1969).

B. Warner and R. C. Kirkpatrick, "Atomic Oscillator Strengths-VI," Mon. Not. R. Astron. Soc. 142, 265–72 (1969).

1966

P. F. Gruzdev and V. K. Prokofev, "Oscillator Strengths of Resonance Multiplets in the Spectra of Atoms and Ions of Isoelectronic Series of the First, Second, and Third Periods," Opt. Spectrosc. USSR 21, 151–152 (1966).

1964

P. S. Kelly, "Transition Probablities in Nitrogen and Oxygen from Hartree-Fock-Slater Wave Functions," J. Quant. Spectrosc. Radiat. Transfer 4, 117–148 (1964).

1963

U. Fano, "Penetration of Protons, Alpha Particles, and Mesons," Ann. Rev. Nucl. Sci. 13, 1–66 (1963).

1962

J. W. Cooper, "Photoionization from Other Atomic Subshells. A Model Study," Phys. Rev. 128, 681–693 (1962).

1960

A. Dalgarno and A. L. Stewart, "The Lamb Shift of Helium," Proc. Phys. Soc. Lond. A 76, 49–55 (1960).

1959

F. Rohrlich, "Theoretical Multiplet Strengths," Astrophys. J. 129, 441–448 (1959).

1957

A. Dalgarno and N. Lynn, "Properties of the Helium Atom," Phys. Soc. Lond. A 70, 802–808 (1957).

1937

M. S. Livingston and H. A. Bethe, "Nuclear Physics C. Nuclear Dynamics, Experimental," Rev. Mod. Phys. 9, 245–390 (1937).

Bagus, P. S.

J. V. Mallow and P. S. Bagus, "Ultraviolet Oscillator Strengths for Carbon, Nitrogen and Oxygen Ions," J. Quant. Spectrosc. Radiat. Transfer 16, 409–414 (1976).

Bethe, H. A.

M. S. Livingston and H. A. Bethe, "Nuclear Physics C. Nuclear Dynamics, Experimental," Rev. Mod. Phys. 9, 245–390 (1937).

Cooper, J. W.

J. W. Cooper, "Photoionization from Other Atomic Subshells. A Model Study," Phys. Rev. 128, 681–693 (1962).

Dalgarno, A.

A. Dalgarno and A. L. Stewart, "The Lamb Shift of Helium," Proc. Phys. Soc. Lond. A 76, 49–55 (1960).

A. Dalgarno and N. Lynn, "Properties of the Helium Atom," Phys. Soc. Lond. A 70, 802–808 (1957).

Davis, S. L.

O. Sinanoglu and S. L. Davis, "The Large Effects of Electron Correlation on the Multiplet Generalized Oscillator Strengths of Non-Closed Shell Systems: Be 1s22s2(1S) → 1s22s2p(1P) and B 1s22s22p(2P) → 1s22s2p2 (2D)," Chem. Phys. Lett. 32, 449–454 (1975).

Fano, U.

U. Fano, "Penetration of Protons, Alpha Particles, and Mesons," Ann. Rev. Nucl. Sci. 13, 1–66 (1963).

Ganas, P. S.

T. Sawada, P. S. Ganas, and A. E. S. Green, "Elastic Scattering of Electrons from N2," Phys. Rev. A 9, 1130–1135 (1974).

P. A. Kazaks, P. S. Ganas, and A. E. S. Green, "Electron Impact Excitation and Ionization of Atomic Oxygen," Phys. Rev. A 6, 2169–2180 (1972).

P. S. Ganas and A. E. S. Green, "Electron Impact Excitation of the Rare Gases," Phys. Rev. A 4, 182–193 (1971).

P. S. Ganas and A. E. S. Green, Phys. Rev. (to be published).

Green, A. E. S.

T. Sawada, P. S. Ganas, and A. E. S. Green, "Elastic Scattering of Electrons from N2," Phys. Rev. A 9, 1130–1135 (1974).

K. J. Miller and A. E. S. Green, "Energy Levels and Potential Energy Curves for H2, N2 and O2 with an Independent Particle Model," J. Chem. Phys. 60, 2617–2626 (1974).

P. A. Kazaks, P. S. Ganas, and A. E. S. Green, "Electron Impact Excitation and Ionization of Atomic Oxygen," Phys. Rev. A 6, 2169–2180 (1972).

P. S. Ganas and A. E. S. Green, "Electron Impact Excitation of the Rare Gases," Phys. Rev. A 4, 182–193 (1971).

A. E. S. Green, D. L. Sellin, and A. S. Zachor, "Analytic Independent-Particle Model for Atoms," Phys. Rev. 184, 1–9 (1969).

P. S. Ganas and A. E. S. Green, Phys. Rev. (to be published).

A. E. S. Green and P. J. Wyatt, Atomic and Space Physics (Addison-Wesley, Reading, MA, 1965).

Gruzdev, P. F.

P. F. Gruzdev and V. K. Prokofev, "Oscillator Strengths of Resonance Multiplets in the Spectra of Atoms and Ions of Isoelectronic Series of the First, Second, and Third Periods," Opt. Spectrosc. USSR 21, 151–152 (1966).

Kazaks, P. A.

P. A. Kazaks, P. S. Ganas, and A. E. S. Green, "Electron Impact Excitation and Ionization of Atomic Oxygen," Phys. Rev. A 6, 2169–2180 (1972).

Kelly, P. S.

P. S. Kelly, "Transition Probablities in Nitrogen and Oxygen from Hartree-Fock-Slater Wave Functions," J. Quant. Spectrosc. Radiat. Transfer 4, 117–148 (1964).

Kernahan, J. A.

J. A. Kernahan, A. E. Livingston, and E. H. Pinnington, "Beam-Foil Mean Life Measurements of Levels in N I - N V," Canad. J. Phys. 52, 1895–1902 (1974).

Kirkpatrick, R. C.

B. Warner and R. C. Kirkpatrick, "Atomic Oscillator Strengths-VI," Mon. Not. R. Astron. Soc. 142, 265–72 (1969).

Livingston, A. E.

J. A. Kernahan, A. E. Livingston, and E. H. Pinnington, "Beam-Foil Mean Life Measurements of Levels in N I - N V," Canad. J. Phys. 52, 1895–1902 (1974).

Livingston, M. S.

M. S. Livingston and H. A. Bethe, "Nuclear Physics C. Nuclear Dynamics, Experimental," Rev. Mod. Phys. 9, 245–390 (1937).

Lynn, N.

A. Dalgarno and N. Lynn, "Properties of the Helium Atom," Phys. Soc. Lond. A 70, 802–808 (1957).

Mallow, J. V.

J. V. Mallow and P. S. Bagus, "Ultraviolet Oscillator Strengths for Carbon, Nitrogen and Oxygen Ions," J. Quant. Spectrosc. Radiat. Transfer 16, 409–414 (1976).

Menzel, D. H.

B. W. Shore and D. H. Menzel, Principles of Atomic Spectra (Wiley, New York, 1968).

Miller, K. J.

K. J. Miller and A. E. S. Green, "Energy Levels and Potential Energy Curves for H2, N2 and O2 with an Independent Particle Model," J. Chem. Phys. 60, 2617–2626 (1974).

Moore, C. E.

C. E. Moore, Atomic Energy Levels, Natl. Bur. Std. (U.S.) Circulation No. 467 (U.S. GPO, Washington, D.C., 1958), Vol. I.

Pinnington, E. H.

J. A. Kernahan, A. E. Livingston, and E. H. Pinnington, "Beam-Foil Mean Life Measurements of Levels in N I - N V," Canad. J. Phys. 52, 1895–1902 (1974).

Prokofev, V. K.

P. F. Gruzdev and V. K. Prokofev, "Oscillator Strengths of Resonance Multiplets in the Spectra of Atoms and Ions of Isoelectronic Series of the First, Second, and Third Periods," Opt. Spectrosc. USSR 21, 151–152 (1966).

Rohrlich, F.

F. Rohrlich, "Theoretical Multiplet Strengths," Astrophys. J. 129, 441–448 (1959).

Sawada, T.

T. Sawada, P. S. Ganas, and A. E. S. Green, "Elastic Scattering of Electrons from N2," Phys. Rev. A 9, 1130–1135 (1974).

Sellin, D. L.

A. E. S. Green, D. L. Sellin, and A. S. Zachor, "Analytic Independent-Particle Model for Atoms," Phys. Rev. 184, 1–9 (1969).

Shore, B. W.

B. W. Shore and D. H. Menzel, Principles of Atomic Spectra (Wiley, New York, 1968).

Sinanoglu, O.

O. Sinanoglu and S. L. Davis, "The Large Effects of Electron Correlation on the Multiplet Generalized Oscillator Strengths of Non-Closed Shell Systems: Be 1s22s2(1S) → 1s22s2p(1P) and B 1s22s22p(2P) → 1s22s2p2 (2D)," Chem. Phys. Lett. 32, 449–454 (1975).

Smith, M. W.

M. W. Smith and W. L. Wiese, "Graphical Presentations of Systematic Trends of Atomic Oscillator Strengths Along Isoelectronic Sequences and New Oscillator Strengths Derived by Interpolation," Astrophys. J. Suppl. 23, 103–192 (1971).

Stewart, A. L.

A. Dalgarno and A. L. Stewart, "The Lamb Shift of Helium," Proc. Phys. Soc. Lond. A 76, 49–55 (1960).

A. L. Stewart, in Advances in Atomic and Molecular Physics, edited by D. R. Bates and I. Estermann (Academic, New York, 1967), Vol. 3, pp. 1–51.

Warner, B.

B. Warner and R. C. Kirkpatrick, "Atomic Oscillator Strengths-VI," Mon. Not. R. Astron. Soc. 142, 265–72 (1969).

Weiss, A. W.

A. W. Weiss, "Correlation in Excited States of Atoms," in Advances in Atomic and Molecular Physics (Academic, New York, 1973), Vol. 9, pp. 1–46.

Wiese, W. L.

M. W. Smith and W. L. Wiese, "Graphical Presentations of Systematic Trends of Atomic Oscillator Strengths Along Isoelectronic Sequences and New Oscillator Strengths Derived by Interpolation," Astrophys. J. Suppl. 23, 103–192 (1971).

Wyatt, P. J.

A. E. S. Green and P. J. Wyatt, Atomic and Space Physics (Addison-Wesley, Reading, MA, 1965).

Zachor, A. S.

A. E. S. Green, D. L. Sellin, and A. S. Zachor, "Analytic Independent-Particle Model for Atoms," Phys. Rev. 184, 1–9 (1969).

Ann. Rev. Nucl. Sci.

U. Fano, "Penetration of Protons, Alpha Particles, and Mesons," Ann. Rev. Nucl. Sci. 13, 1–66 (1963).

Astrophys. J.

F. Rohrlich, "Theoretical Multiplet Strengths," Astrophys. J. 129, 441–448 (1959).

Astrophys. J. Suppl.

M. W. Smith and W. L. Wiese, "Graphical Presentations of Systematic Trends of Atomic Oscillator Strengths Along Isoelectronic Sequences and New Oscillator Strengths Derived by Interpolation," Astrophys. J. Suppl. 23, 103–192 (1971).

Canad. J. Phys.

J. A. Kernahan, A. E. Livingston, and E. H. Pinnington, "Beam-Foil Mean Life Measurements of Levels in N I - N V," Canad. J. Phys. 52, 1895–1902 (1974).

Chem. Phys. Lett.

O. Sinanoglu and S. L. Davis, "The Large Effects of Electron Correlation on the Multiplet Generalized Oscillator Strengths of Non-Closed Shell Systems: Be 1s22s2(1S) → 1s22s2p(1P) and B 1s22s22p(2P) → 1s22s2p2 (2D)," Chem. Phys. Lett. 32, 449–454 (1975).

J. Chem. Phys.

K. J. Miller and A. E. S. Green, "Energy Levels and Potential Energy Curves for H2, N2 and O2 with an Independent Particle Model," J. Chem. Phys. 60, 2617–2626 (1974).

J. Quant. Spectrosc. Radiat. Transfer

J. V. Mallow and P. S. Bagus, "Ultraviolet Oscillator Strengths for Carbon, Nitrogen and Oxygen Ions," J. Quant. Spectrosc. Radiat. Transfer 16, 409–414 (1976).

P. S. Kelly, "Transition Probablities in Nitrogen and Oxygen from Hartree-Fock-Slater Wave Functions," J. Quant. Spectrosc. Radiat. Transfer 4, 117–148 (1964).

Mon. Not. R. Astron. Soc.

B. Warner and R. C. Kirkpatrick, "Atomic Oscillator Strengths-VI," Mon. Not. R. Astron. Soc. 142, 265–72 (1969).

Opt. Spectrosc. USSR

P. F. Gruzdev and V. K. Prokofev, "Oscillator Strengths of Resonance Multiplets in the Spectra of Atoms and Ions of Isoelectronic Series of the First, Second, and Third Periods," Opt. Spectrosc. USSR 21, 151–152 (1966).

Phys. Rev.

J. W. Cooper, "Photoionization from Other Atomic Subshells. A Model Study," Phys. Rev. 128, 681–693 (1962).

A. E. S. Green, D. L. Sellin, and A. S. Zachor, "Analytic Independent-Particle Model for Atoms," Phys. Rev. 184, 1–9 (1969).

P. S. Ganas and A. E. S. Green, "Electron Impact Excitation of the Rare Gases," Phys. Rev. A 4, 182–193 (1971).

P. A. Kazaks, P. S. Ganas, and A. E. S. Green, "Electron Impact Excitation and Ionization of Atomic Oxygen," Phys. Rev. A 6, 2169–2180 (1972).

T. Sawada, P. S. Ganas, and A. E. S. Green, "Elastic Scattering of Electrons from N2," Phys. Rev. A 9, 1130–1135 (1974).

Phys. Soc. Lond.

A. Dalgarno and N. Lynn, "Properties of the Helium Atom," Phys. Soc. Lond. A 70, 802–808 (1957).

Proc. Phys. Soc. Lond.

A. Dalgarno and A. L. Stewart, "The Lamb Shift of Helium," Proc. Phys. Soc. Lond. A 76, 49–55 (1960).

Rev. Mod. Phys.

M. S. Livingston and H. A. Bethe, "Nuclear Physics C. Nuclear Dynamics, Experimental," Rev. Mod. Phys. 9, 245–390 (1937).

Other

A. L. Stewart, in Advances in Atomic and Molecular Physics, edited by D. R. Bates and I. Estermann (Academic, New York, 1967), Vol. 3, pp. 1–51.

C. E. Moore, Atomic Energy Levels, Natl. Bur. Std. (U.S.) Circulation No. 467 (U.S. GPO, Washington, D.C., 1958), Vol. I.

A. E. S. Green and P. J. Wyatt, Atomic and Space Physics (Addison-Wesley, Reading, MA, 1965).

B. W. Shore and D. H. Menzel, Principles of Atomic Spectra (Wiley, New York, 1968).

A. W. Weiss, "Correlation in Excited States of Atoms," in Advances in Atomic and Molecular Physics (Academic, New York, 1973), Vol. 9, pp. 1–46.

P. S. Ganas and A. E. S. Green, Phys. Rev. (to be published).

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