The other periodic table
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The ionization energies of the atoms can be calculated with the Schrödinger equation exactly (hydrogen) or they can be arbitrarily closely approximated (from helium). Over time, techniques have been developed different approximation. Among these procedures is the Born Oppenheimer method, the Hartree Fock method and the LCAO method, will continue to determine these energies in recent years and a lot of successful work with the quantum mechanical variational principle. The disadvantage of this method is its complexity and the effort must be expended in order to calculate these energies almost exactly and with great certainty.
For this reason, a computation method for the ionization energies should be created with simple means, allows sufficiently accurate estimate of the ionization energies.
In a first step, the measured ionization energies of the atoms and their ions were tabulated and displayed graphically. The analysis of the values and ranks has made amazing regularities and insights into the structure of atoms visible. It has also been shown that the rows are found correspond to the Mosleyschen diagrams and the Rydberg atoms have a large area. In the literature, these rows are called isoelectronic series.
The amazing results of this work are presented in the following pages.
On the following pages, a new principle of order of the elements is developed and presented.
On this first page gives you an overview of the content and it is presented the result.
On the downstream side "the new periodicity" the individual development steps are discussed in detail.
After the development and structuring of the new order the new model is compared with the conventional model Mendelejew and it is a critical consideration of the quantum mechanical statements.
Finally, the question is asked why quantum mechanics was not in the position to identify this discrepancies.
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Based on the isoelectronic series have been described by Eugenie Lisitzin 1936, a new classification system for the elements is developed.
As you can see the isoelectronic series can be represented as polynomials of the second degree, as parabolas.
The following graph shows the measured ionization energy of the elements and their ions are shown.
The isoelectronic series of elements
The measured ionization energies of the elements and their ions.
It is to recognize that can be combined into groups of similar gradient, the isoelectronic series. The number of group members and the internal structure of the groups have regularities. It is also not difficult to see that the matching can be displayed with values parabolas with second degree polynomials.
Mrs. Lisitzin elected the following notation to represent the isoelectronic series, the representation with second degree polynomials. At this notation is retained within this work.
To develop an order of the elements isoelectronic series are divided into groups. All rows with the same gradient are grouped and arranged accourding to there atomic number.
The following figure show's, the gradient of the isoelectronic series, plotted against the atomic number.
It will be appreciated that the gradient of the rows defined gradual or stepwise decreases, but increases slightly in back of the steps. The elements are divided into groups based on these slope values. The groups are arranged vertically. Thus they form the new periodic order.
In the following figure (X_i - BETA) ^ 2 is shown. It is the argument of Lisitzinschen polynomial.
The argument of the polynomial
The second descriptive parameter that is used to classification the elements is the parameter BETA of the polynomials. In the picture above it is already incorporated into the argument.
The beta parameter structured the groups formed by the coefficients Alfa.
If you sorted the elements in line, by the same alfa and grouping the elements in the line by beta, the following image is formed for the elements.
In the following image you will see the new order of the model elements.
The following figure shows the conventional periodic table.
Please read the detailed derivation of the new order model for the elements and write me your opinion on the content in the guestbook. To exchange ideas and discussion of the model I'm very interested.
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