Abstract
Energy levels and Radiative lifetimes in Deuterium for the following: ns 2 S 1/2 (n≥2), np 2 P o (1/2,3/2) (n≥2), nd 2 D (3/2,5/2) (n≥3), and nf 2 F o (5/2,7/2) (n≥4) sequence have been evaluated with uncertainties in energies caused due to uncertainty principal. Theoretical calculations performed utilizing the Weakest Bound Electron Potential Model Theory (WBEPMT). Both sets of data show quite an excellent agreement with the experimental data listed at NIST. This theoretical computation is also a continuation of the work by Raza. S. et al. in Neutral Hydrogen. The high ‘n’ (principal quantum number) values for both sets of data are presented very first time by utilizing WBEPMT. Keywords: Energy levels, Radiative lifetimes, Quantum defects, Weakest bound electron, Natural line width. DOI : 10.7176/JNSR/9-10-07 Publication date :May 31 st 2019
Highlights
Deuterium has many commercial and scientific applications. Like it is used as heavy water moderator in fission reactors, commonly used in nuclear magnetic resonance spectroscopy (NMR), in environmental sciences it is being used as a tracer, in nuclear weapons, and in drugs etc[1]
In this work first we obtained data from National Institute of Standards and Technology (NIST)[23] and rearranged them in an increasing order of quantum numbers ‘n’ and by Utilizing the first few energy levels and radiative lifetimes of lowest ‘n’ values we computed energy levels sequence with quantum defects and radiative lifetimes with natural line widths for the s, p, d and f sequence of Deuterium up to n=60
From above Table I. we can clearly see by the comparison of ‘δ60’ the quantum defects of the highest energy level up to which energy level sequence computed in this work with ‘a0’the first coefficient of equation 6 in text, s, p, d and f sequence of quantum defects converge toward ‘a0’
Summary
Deuterium has many commercial and scientific applications. Like it is used as heavy water moderator in fission reactors, commonly used in nuclear magnetic resonance spectroscopy (NMR), in environmental sciences it is being used as a tracer, in nuclear weapons, and in drugs etc[1]. In this work first we obtained data from National Institute of Standards and Technology (NIST)[23] and rearranged them in an increasing order of quantum numbers ‘n’ and by Utilizing the first few energy levels and radiative lifetimes of lowest ‘n’ values (experimental values of radiative lifetimes were obtained from transition probabilities listed at NIST) we computed energy levels sequence with quantum defects and radiative lifetimes with natural line widths for the s, p, d and f sequence of Deuterium up to n=60. The negative sign of ‘a0’ indicates that corepolarization potential dominates the ‘nl’ (l=s, p, d and f ) energy levels sequence Using these quantum defects energy levels sequence of all ‘nl’ sequence of Deuterium are determined precisely by utilizing equation 4 in text up to n=60 principal quantum number, listed in Tables: II-VIII. Table VIII: Energy Level Sequence in cm-1 and Quantum Defects of nf 2Fo7/2 (4≤n≤60) in Deuterium
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