The overjumpings of electrons and the order of orbital filling.

 

 

Let's write out electronic formulas 3d-row Sc 3d^1, Ti 3d^2, V 3d^3, Cr 3d^5 4s^1,

Mn 3d^5 4s^2, Fe 3d^6, Co 3d^7, Ni 3d^8, Cu 3d^10 4s^1, Zn 3d^10 4s^2. (4s ^ is underlined only at change). By Pauli's principle one electron on orbital is filling at the beginning. According to this principle let’s add a condition that the first orbitals are connected with orbitals of the previous new family. Previous family for d elements is p-family. P-family has three orbitals. It means that orbitals of  Sc, Ti, V  are connected with  three 2p-orbitals.

                                                                                2ð                              2p                             2p

                                                                                Sc 3d^1                  Ti 3d^2                   V 3d^3

Further two new orbitals are appeared. One of which considerably differs from others (the assumption is that she is connected with 3s-orbital), the second one without features.

Orbitals of Cr 3d^5 4s^1, Mn 3d^5 4s^2 are filling, further a row Fe 3d^6, Co 3d^7, Ni 3d^8 follows. The electrons of this row take empty seats on orbitals of  Sc, Ti, V. Filling of orbitals of  Cu, Zn finish filling of orbitals.

 

                                                                    Sc 3d^1                 Ti 3d^2                   V 3d^3

Cr 3d^5 4s^1       Mn 3d^5 4s^2,         Fe 3d^6               Co 3d^7                 Ni 3d^8 

              Cu 3d^10  4s^1    Zn  3d^10 4s^2

 

 

Under the scheme of  connection of orbitals the table is constructed

 

P.S. About the same scheme of cyclicity it is possible to make for all other families.

Except of cyclicity of orbitals 3 2 3 2 for d-elements, there exist such cyclicities – “reversed”, "regressive" and "progressive". For their construction it is necessary to number orbitals.

But also other cyclicity exists which is connected with growth of number of electrons in atom. When electron is filling , the cyclicity is defined by occurrence of every new electron instead of orbital for two electrons.

          Different types of cyclicity connected with representing of different properties of atom.

The following table shows a duality of properties of some elements according to similarity of a spatial arrangement of orbitals. It may also be presented in more compact form. The difference of this table from previous one is that it shows secondary properties of elements, connected with ð-orbitals and d-orbitals, not with s-orbitals (more in detail about it read in my next publications)

Tables consider secondary properties of elements.

D-elements have oxidation-reduction properties (the degree of oxidation) as primary properties, and properties which are determined by series of activity of metals as secondary ones. In general secondary properties are the properties changing cyclically inside family. Secondary properties of ð-elements (activity which corresponds with some primary properties) in many respects coincide with the basic properties (The text and the table will be published later). D-elements has secondary properties as expressed more brightly that is they may easily be distinguished from the primary ones (cyclicity of a series of activity of metals does not coincide with cyclicity of increasing of the degree of oxidation)

And f-elements do not have such periodicity of primary properties as previous elements have.

I’ll publish more complex mechanisms of cyclicity in my future works.

 

 

 

Periodicity of electrochemical potentials in even

         and odd sublevels of d-elements.

 

Let's write out electrochemical potentials of d-elements.

http://courses.washington.edu/dtsclass/Echem_series.pdf

 

 

Sc

Ti

V

Cr

Mn

Fe

Co

Ni

Cu

Zn

-2,077

-1,63

-1,175

-0,937

-1,192

-0,441

-0,277

-0,234

0,3419

-0,763

Y

Zr

Nb

Mo

Tc

Ru

Rh

Pd

Ag

Cd

-2,372

-1,45

-1,099

-0,2

0,4

0,455

0,758

0,951

0,7996

-0,403

Lu

Hf

Ta

W

Re

Os

Ir

Pt

Au

Hg

-2,28

-1,55

-0,6

0,1

-0,3

???

1,156

1,18

1,8

0,851

 

Let's find a difference of potentials between the next elements inside one sublevel of d-elements of the above mentioned table. For example, for first two next elements:

-2.077 (Sc) --1.63 (Ti) =-0.447. Thus let’s construct tables of differences of potentials of near located (next) elements:

 

For 3d - a sublevel (Sc-Zn)

-0,447

-0,455

-0,238

0,255

-0,751

-0,164

-0,043

-0,576

1,1049

 

For 4d - a sublevel (Y-Cd)

-0,922

-0,351

-0,899

-0,6

-0,055

-0,303

-0,193

0,1514

1,2026

 

For 5d - a sublevel (Lu-Hg)

-0,73

-0,95

-0,7

0,4

-1,1

-0,356

-0,024

-0,62

0,949

 

I have picked up value of electrochemical potential 0,85 for Os.

 

Now let's construct the graph of a difference of potentials for 3d and 5d elements.

 If the graph does not open - the kept copy of the graph

 

Similarities of periodic maxima and minima for not constructed graph of a difference of potentials of 4d-elements became  observable if the data is to turn from right to left and to increase on «-1».

 

 An initial row of a difference of potentials of 4d-elements:

-0,922

-0,351

-0,899

-0,6

-0,055

-0,303

-0,193

0,1514

1,2026

The turned row of a difference of potentials for 4d-elements:

1,2026

0,1514

-0,193

-0,303

-0,055

-0,6

-0,899

-0,351

-0,922

Let's increase each value of the previous lines  on "-1":

-1,203

-0,151

0,193

0,303

0,055

0,6

0,899

0,351

0,922

 

Let's construct all three graphs:

 

 

If the graphs does not open - the kept copy of the graphs

 

For to shape potentials of 6d-elements  - it is necessary to add differences of potentials of 4d-elements to known value of electrochemical potential of Lr.

 

The periodic table of overjumpings of electrons and electrochemical

row of a pressure of metals for 3d and 5d-elements.

 

Let's write out from electrochemical lines of pressure of metals transitive metals of 3d-sublevel, in decreasing order of regenerative activity.  Sc, Ti, V, Mn, Zn, Cr, Fe, Co, Ni, Cu.

Under the order of numbers (21,22,23,24,25,26,27,28,29,30) elements are built in a number:

 Sc, Ti, V, Cr, Mn, Fe, Co, Ni, Cu, Zn.

From lines of activity of metals it is visible: at elements Sc, Ti, V, and Fe, Co, Ni, Cu the consecutive order of following of numbers is kept. At elements Mn, Zn, Cr, the order of following of numbers is  inconsistent.

Let's write down a number of elements in a column: 4 elements, 4 elements, 2 elements as it is drawn in the table

Sc, Ti, V,  Cr,

Mn, Fe, Co, Ni,

Cu,  Zn.

 

Let’s combine three elements from lines of pressure (Mn, Zn, Cr,) in one vertical line:

 

Sc,   Ti, V, Cr,

                  Mn, Fe, Co, Ni,

            Cu, Zn.

 

Lets combine all elements under the order of following in a row of activity with arrows:

figure1.

 

Let's represent the sequence which turned out as a spiral. Such model is offered in the figure2.

 

Continuation see at figure3 – the overjumpings of electrons in the table of electrochemical potentials.

 

For 4d-  and 6d-elements figure is not exact enough.

 

Author   Oleg  Aleksandrov,      17.06. 2004 ã.

 

Continuation on   www.genevo.org/H.htm , www.genevo.org/S.htm , www.genevo.org/Z1.htm ,

                                     

                                              www.genevo.org/F.htm

 

The main page      http://www.genevo.org.