Bibliographic Details
| Title: |
On the atomic-number similarity of the binding energies of electrons in filled shells of elements of the periodic table. |
| Authors: |
Karpov, V.1, Shpatakovskaya, G.2 shpagalya@yandex.ru |
| Source: |
Journal of Experimental & Theoretical Physics. Mar2017, Vol. 124 Issue 3, p369-378. 10p. |
| Subjects: |
Electron synchrotrons, Electron counters, Binding energy, Nuclear energy, Properties of matter |
| Abstract: |
An expression for the binding energies of electrons in the ground state of an atom is derived on the basis of the Bohr-Sommerfeld quantization rule within the Thomas-Fermi model. The validity of this relation for all elements from neon to uranium is tested within a more perfect quantum-mechanical model with and without the inclusion of relativistic effects, as well as with experimental binding energies. As a result, the ordering of electronic levels in filled atomic shells is established, manifested in an approximate atomic-number similarity. It is proposed to use this scaling property to analytically estimate the binding energies of electrons in an arbitrary atom. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
