Introduction The new periodicity The comparison of the models Outlook Sources
Home The comparison of the models The Periodic Table by Bettermann

The comparison of the models


The quantum mechanical states The periodic table from Mendelejew and Meyer The Periodic Table by Bettermann Discussion of both models The quantum-mechanical shell model The gradient term Limits of Quantum Mechanics

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Bettermann's periodic table

In this model, the periodicity of the system is formed by two elements:

- The periods are discharged exclusively from the coefficients of the alfa Lisitschinsche polynomials
- The sub-shells are discharged from the coefficients of the polynomials beta
- noble gases are set aside end of period

Based upon the slopes of the isoelectronic series and their shifting against the atomic number ( which is expressed by beta), the following impression results:
show next figure:

figure 01

Forming the Bettermann's periodic table, the elements were allocated according to their atomic number in the classification system. The so developed linkage was never interrupted or rearranged. The development of this model is described in the previous chapters, so a detailed description is left out here.
Again It needs to be pointed out that the sub-shells are generated without any definition of quantum numbers. Until now a static model would be enough to be able to explain the periodic table, a dynamic background also was not used for a description of the structure.