The calculation of atomic fields
@article{ThomasTheCO, title={The calculation of atomic fields}, author={L. H. Thomas}, journal={Mathematical Proceedings of the Cambridge Philosophical Society}, volume={23}, pages={542 - 548} }
The theoretical calculation of observable atomic constants is often only possible if the effective electric field inside the atom is known. Some fields have been calculated to fit observed data but for many elements no such fields are available. In the following paper a method is given by which approximate fields can easily be determined for heavy atoms from theoretical considerations alone.
1,865 Citations
Calculation of physical properties of atoms and ions based on analytical perturbation theory
- Physics
- 2011
Analytical perturbation theory is adapted to calculate properties of multi-electron atoms and ions. Results from zero- and first-order approximations are presented analytically and have an accuracy…
Calculation of atomic form factors from the statistical electron density distributions
- Physics
- 1966
The atomic form factors and the cross-sections for electron scattering are calculated for rare gases using a statistical atom model, which contains both theDirac exchange energy and the improved…
Calculation of the contribution of conduction electrons to the atomic factors of simple metals
- Physics
- 2007
An expression for the Fourier transform of the screening electron density of simple metals has been derived using smooth nonlocal model potentials of simple metals. The expression describes the…
Number Theory and Atomic Densities
- Physics
- 1999
After the initial success to explain the hydrogen atom, one of the early challenges of quantum mechanics was to study larger atoms. The problems encountered in this process were numerous, and the…
Conditions for Accurate Description of the Electron Density of Atoms and Molecules
- Physics
- 2006
Based on the Kato's cusp condition of the electron density and our recent relations for local strongly decaying properties in an electronic system, necessary conditions for trial electron densities…
Interatomic Potentials for Collisions of Excited Atoms
- Physics
- 1978
Interatomic potentials serve an important function in the organization of data about collisions of excited atoms. They determine how atoms interact and thus represent the ultimate physical quantity…
Oscillation correction to the electron density of an atom
- Physics
- 1968
The oscillation correction to the electron density of an atom in the Thomas-Fermi model is calculated with the help of the method of Green's functions and continuous integration. This correction has…
Potential of the uranium atom and calculation of the ionization energy
- Physics, Chemistry
- 1967
AbstractsThe potential of the uranium atom and ions are calculated on the statistical model, allowing for exchange interaction and electron correlation. It is demonstrated that due allowance for…
An analysis of the states in the phase space: the energy levels of quantum systems
- Physics
- 1996
SummaryThe paper describes a possible approach to calculate the energy levels of simple quantum systems and many-electron atoms, where the Coulombian interaction is taken into account. In the…
Atom energy in thomas-fermi model with oscillatory correction
- Physics
- 1968
The energy of an atomic shell is found by a variational method with allowance for an oscillatory correction that is nonanalytic in Planck's constant. The energy is 5–6% higher than the experimental…