# Relativistic Corrections for Calculating Ionization Energies of One- to Five-Electron Isoelectronic Atomic Ions

@article{Lang2013RelativisticCF, title={Relativistic Corrections for Calculating Ionization Energies of One- to Five-Electron Isoelectronic Atomic Ions}, author={Peter F. Lang and Barry C. Smith}, journal={International Scholarly Research Notices}, year={2013}, volume={2013}, pages={1-10} }

We have previously proposed a simple empirical equation to reproduce the literature values of the ionization energies of one-electron to four-electron atomic ions with very good agreement. However, we used a potential energy approach in our equation, which has no theoretical basis. This paper discusses an alternative kinetic energy expression for one to five electrons with simple corrections for relativistic and Lamb shift effects and for two- to-five electron ions additional effects including… Expand

#### 5 Citations

Methods of Calculating Ionization Energies of Multielectron (Five or More) Isoelectronic Atomic Ions

- Chemistry, Medicine
- TheScientificWorldJournal
- 2013

It is demonstrated clearly that for particular isoelectronic sequences, the ionizing electrons may occupy different orbitals and in such cases more than one set of constants are needed to calculate the ionization energies. Expand

A Very Simple Single Electron Lamb Shift Approximation

- Physics
- 2018

The Lamb shift was discovered by Willis Lamb and measured for the first time in 1947 by Lamb and Rutherford [1, 2, 3] on the hydrogen microwave spectrum. We suggest that the Lamb shift can be… Expand

Lamb Shift Approximation for Elements up to 80 in a Very Simple Way

- Advances in Materials Physics and Chemistry
- 2019

We suggest that the Lamb shift can be approximated by a very simple function that seems accurate enough for most experimental researchers working with elements where the relativistic effects of the… Expand

Renaissance of Bohr's Model Via Derived Alternative Equation

- Physics
- 2017

The aims of this research were: 1) To derive alternative equation into which can be substituted known experimental data and known physical constants for the calculation of Bohr’s radii of atoms for… Expand

The Lamb Shift Effect (on Series Limits) Revisited

- Physics
- 2017

It was found by examination of various spectra that each chemical element produced light only at specific places in the spectrum. First attempts to discover laws governing the positions of spectral… Expand

#### References

SHOWING 1-10 OF 38 REFERENCES

A simple formula to calculate the ionization energies of two-, three-, and four-electron atomic ions

- Chemistry, Medicine
- Naturwissenschaften
- 2010

This paper provides an updated version of the two-electron equation adapted to calculate the ionization energies of three and four electron ions and gives fairly good estimates of first electron affinities. Expand

Energy Level and Line Tables for One-Electron Atomic Spectra*

- Physics
- 1965

Tables are presented showing precise values of the energy levels and lines of the spectra 1H i to 40Ca xx according to an equation expected to exhibit a relative uncertainty of the order of 10−11Z7.… Expand

Binding energies in atomic negative ions

- Chemistry
- 1975

This article updates a ten‐year‐old review of this subject [J. Chem. Phys. Ref. Data 4, 539 (1975)]. A survey of the electron affinity determinations for the elements up to Z=85 is presented, and… Expand

Ionization potentials of atoms and ions from hydrogen to zinc

- Physics
- 1967

A complete set of ionization potentials of all ionization stages is given for the elements hydrogen through zinc (Z = 30). The ionization potentials are calculated along isoelectronic sequences with… Expand

Ionization Energies of Atoms and Atomic Ions

- Chemistry
- 2003

Less familiar aspects of ionization energies of atoms and atomic ions from s, p, d, and f blocks of the periodic table are discussed. Apparent irregularities in the first and second ionization… Expand

Theoretical energies for the n = 1 and 2 states of the helium isoelectronic sequence up to Z = 100

- Physics
- 1988

The unified method described previously for combining high-precision nonrelativistic variational calculations with relativistic and quantum electrodynamic corrections is applied to the 1s2 1S0, 1s2s… Expand

Fine Structure of the Hydrogen Atom.

- Materials Science, Medicine
- Science
- 1956

The difference between the Dirac and Schrödinger equations will be treated as a series of perturbations to the Schr Ödinger equation. Expand

Ionisation energies of two-electron atoms

- Chemistry
- 1984

Ionisation energies of atomic helium and two-electron atomic ions are calculated from the equation: J/hcRM={(Z–S2)–S2[Z2–(Z–S2)]–✓(α2/Zi)}[1 +α2(Z– 1)(Z– 2)/4], where S= 0.5 is the repulsion or… Expand

Wavelengths, Transition Probabilities, and Energy Levels for the Spectra of Rubidium (Rb I through Rb XXXVII)

- Chemistry
- 2006

Energy levels, with designations and uncertainties, have been compiled for the spectra of the neutral atom and all positive ions of rubidium (Z=37). Wavelengths with classifications, intensities, and… Expand

Fine Structure of the Hydrogen Atom. Part I

- Physics
- 1950

The fine structure of the hydrogen atom is studied by a microwave method. A beam of atoms in the metastable 2S122 state is produced by bombarding atomic hydrogen. The metastable atoms are detected… Expand