Photoionization of the 3s23p3nd Rydberg series of Cl+ ion using the Screening constant by unit nuclear charge method

2018 ◽  
Vol 153 ◽  
pp. 111-119 ◽  
Author(s):  
M.D. Ba ◽  
A. Diallo ◽  
J.K. Badiane ◽  
M.T. Gning ◽  
M. Sow ◽  
...  
Keyword(s):  
Nuclear Charge ◽  
Rydberg Series ◽  
Screening Constant

SCREENING CONSTANT BY UNIT NUCLEAR CHARGE CALCULATIONS OF THE RYDBERG SERIES FROM METASTABLE STATE OF CALCIUM ION

2021 ◽  
Vol 9 (07) ◽  
pp. 227-236
Author(s):  
Malick Sow ◽  
◽  
Papa Amadou L. Diagne ◽  
Fatou Ndoye ◽  
Momar T. Gning ◽  
...  
Keyword(s):  
Experimental Data ◽  
Metastable State ◽  
Calcium Ion ◽  
Nuclear Charge ◽  
Theoretical Studies ◽  
Accurate Data ◽  
Rydberg Series ◽  
Screening Constant ◽  
Charge Calculations

We report in this paper energy positions of Rydberg series from metastable state of Ca3+ ion.. Calculations are performed up to n = 20 using the Screening Constant by Unit Nuclear Charge (SCUNC). The present results compared wellwith the experimental data of Ghassan A Alna’washi which are the only available values.The accurate data presented in this work may be a useful guideline for future experimental and other theoretical studies.

scholarly journals STUDIES OF PHOTOIONIZATION PROCESSES OF NITROGEN-LIKE O+ION USINGTHE SCREENING CONSTANT BY UNIT NUCLEAR CHARGEMETHOD

2021 ◽  
Vol 9 (09) ◽  
pp. 977-985
Author(s):  
Babou Diop ◽  
◽  
Abdou Diouf ◽  
Youssou Gning ◽  
Maurice Faye ◽  
...  
Keyword(s):  
Experimental Data ◽  
Metastable State ◽  
Effective Charge ◽  
Nuclear Charge ◽  
Theoretical Studies ◽  
Rydberg Series ◽  
Screening Constant ◽  
Semi Empirical ◽  
Experimental And Theoretical Studies ◽  
Theoretical Results

In this present work, we have calculated the energies positions of the 2s22p2(1D)nd2P, 2s22p2(1D)nd2S, 2s22p2(1D)ns 2D, 2s22p2(1S)nd2D and 2s2p3(3P)np2D Rydberg series in the photoionization spectra from the 2P° metastable state of the O+ ion. Calculations were performed up to n = 40 applyingthe Screening Constant by Unit Nuclear Charge (SCUNC) via its semi empirical formalism. The quantum defect and the effective charge are also calculated.The results agree within 98% to Aguilars experimental data, and with Sows theoretical results to within 99%. These data can be a useful guideline for future experimental and theoretical studies.

scholarly journals The theoretical prediction of the physical properties of many electron atoms and ions. Mole refraction, diamagnetic susceptibility, and extension in space

1927 ◽  
Vol 114 (767) ◽  
pp. 181-211 ◽  
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Nuclear Charge ◽  
Electron Shell ◽  
Small Error ◽  
Screening Constant ◽  
X Ray ◽  
Average Value ◽  
Old Quantum Theory ◽  
Azimuthal Quantum Number

It is customary to express the empirical data concerning term values in the X-ray region by introducing an effective nuclear charge Z eff . e in the place of the true nuclear charge Z e in an equation theoretically applicable only to a hydrogen-like atom. Often a screening constant S is used, defined by the equation Z eff . = Z — S ; and this screening constant is qualitatively explained as due to the action of electrons which are nearer the nucleus than the electron under consideration, and which in effect partially neutralise the nuclear field. Thus the relativistic or magnetic doublet separation may be represented by the equation Δ v = R α 2 / n 3 k ( k — 1) (Z — s 0 ) 4 + ... This equation, including succeeding terms, was obtained originally by Sommer­feld from relativistic considerations with the old quantum theory; the first term, except for the screening constant s0, has now been derived by Heisenberg and Jordanf with the use of the quantum mechanics and the idea of the spinning electron. The value of the screening constant is known for a number of doublets, and it is found empirically not to vary with Z. It has been found possible to evaluate s 0 theoretically by means of the follow­ing treatment: (1) Each electron shell within the atom is idealised as a uniform surface charge of electricity of amount — z i e on a sphere whose radius is equal to the average value of the electron-nucleus distance of the electrons in the shell. (2) The motion of the electron under consideration is then deter­mined by the use of the old quantum theory, the azimuthal quantum number being chosen so as to produce the closest approximation to the quantum mechanics. (3) Since s 0 does not depend on Z, it is evaluated for large values of Z, by expanding in powers of z i /Z and neglecting powers higher than the first, and then comparing the expansion with that of the expression containing Z — s 0 in powers of s 0 /Z. The values of s 0 obtained in this way* are in satis­factory agreement with the empirical ones, the agreement being excellent in the case of orbits of large excentricity, for which the idealisation of the electron shells would be expected to introduce only a small error.

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