Mean Lifetimes of ns, np, nd, & nf Levels of N V

  • Rizwana Siddique Department of Physics, University of Karachi, Karachi, Pakistan
  • Roohi Zafar Department of Physics, NED University of Engineering and Technology, Karachi, Pakistan
  • Salman Raza Department of Physics, University of Karachi, Karachi, Pakistan
  • S.M. Zeeshan Iqbal Department of Physics, University of Karachi, Karachi, Pakistan
  • Zaheer Uddin Department of Physics, University of Karachi, Karachi, Pakistan
Keywords: Nitrogen ion (N V), Lifetimes, Quantum defect theory, Numerical coulomb approximation, Lithium-like ions


Nitrogen is one of the key elements in the evolution and formation of stellar objects. Earth's atmosphere contains 21% oxygen and 78% nitrogen; these two gases give rise to aurora when ions of the solar wind in the ionosphere collide with them. Some aerosols made of nitrogen and oxygen are also found in the atmosphere. Nitrogen, hydrogen, carbon, and oxygen are the main contributors to the origin of life on Earth. The spectrum of nitrogen ion (N V) has been studied using Quantum defect theory (QDT) and Numerical Coulombic approximation (NCA). N V has two electrons in the core, with the nucleus, and one electron outside the core. It makes it hydrogen or lithium-like. In the first part, the energies of the ns, np, nd, and nf up to n < 30 were calculated with the help of QDT. In the second part, the wavelengths were calculated using the energies and line strength parameters using NCA. Very little experimental data on lifetime and transition probability are available; however, Biemont et al. have calculated the lifetime of the 48 levels of N V using coulomb approximation. In this study, we calculated the lifetime of 196 multiplets of N V. The results are compared with the available experimental and theoretical lifetimes; an excellent agreement was found between known lifetimes and calculated in this work. The lifetimes of 100 multiplets are presented for the first time. The lifetimes of each of the Rydberg series of N V were fitted, and a third-degree polynomial represents the lifetimes of each series.


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A. Kancerecivius, Leituvos Fiz. Rinkinys. 2, (1962).

C.F. Fischer, M. Saparov, G. Gaigalas, and M. Godefroid, Atomic data and nuclear data tables, 70(1), 119 (1998).

C.E. Theodosiou, L.J. Curtis, and M. El-Mekki, Physical Review A, 44(11), 7144 (1991).

M.H. Chen, and B. Crasemann, Physical Review A, 35(11), 4839 (1987).

J.H. Blanke, P.H. Heckmann, and E. Träbert, Physica Scripta, 32(5), 509 (1985).

T.W. Tunnell, and C.P. Bhalla, Physics Letters A, 67(2), 119 (1978).

J.A. Kernahan, E.H. Pinnington, and K.E. Donnelly, Physics Letters A, 57(4), 323-324 (1976).

Y. Baudinet-Robinet, P.D. Dumont, E. Biémont, and N. Grevesse, Physica Scripta, 11(6), 371 (1975).

J.A. Kernahan,, A.E. Livingston,, and E.H. Pinnington, Canadian Journal of Physics, 52(19), 1895 (1974).

P.D. Dumont, Physica, 62(1), 104 (1972).

J. Desesquelles, Annales de Physique, 14(6), 71 (1971).

M.R. Lewis, T. Marshall, E.H. Carnevale, F.S. Zimnoch, and G.W. Wares, Radiative Physical Review, 164(1), 94 (1967).

L. Heroux, Physical Review, 153(1), 156 (1967).

H.G. Berry, W.S. Bickel, S. Bashkin, J. Désesquelles, and R.M. Schectman, JOSA, 61(7), 947 (1971).

E. Biemont, and N. Grevesse, Atomic Data and Nuclear Data Tables, 12(3), 217 (1973).

R. Siddiq, M.N. Hameed, M.H. Zaheer, M.B. Khan, and Z. Uddin, Beni-Suef University Journal of Basic and Applied Sciences, 11(1), 42 (2022).

M. Saeed, S. Raza, and Z. Uddin, Jordon Journal of Physics, 18(5), (2023).

M. Saeed, S.U. Rehman, M.M. Khan, and Z Uddin, East European Journal of Physics. 2, 165 (2023).

U. Fano, J.W. Cooper, Rev. Mod. Phys. 40(3), 441 (1968).

How to Cite
Siddique, R., Zafar, R., Raza, S., Iqbal, S. Z., & Uddin, Z. (2023). Mean Lifetimes of ns, np, nd, & nf Levels of N V. East European Journal of Physics, (3), 424-429.