A different interpretation for the atomic structure

 

A different interpretation for the atomic structure

(Please forgive my faulty English)

 
    With the Big Bang is supposed birth of the matter formed of first protons and neutrons.
    It was necessary to wait to some cooling as base of conditions to the stable structures
    The common hydrogen appeared like simpler atoms and Helium continued with smaller measure.
    The carbon and the oxygen were detected accompanying other slight atoms' constituting stars. It happened around 600/700 million of years after the Big Bang, acquiring the stage of the nucleus of iron.
    The Core of iron  reaches a critical mass. This approximately 250 million later years.
    The star is contracted suddenly to become a star of neutrons.
    While their  external layers are explode forming supernovas.
    An enormous energy of stars' shock wave supernova, wraps up in heavy atoms.
    Supposedly thus the rest of the structures is created than we know in the Periodic System.
***
   It was necessary to possess a succession of stable conditions, as base of its structure.
    Finally the evolution finds  even 7 steps in order.
    The 8 was shown rebellious. They would be sufficient. It granted them the category of numbers. With them a universe already could build.
    It would be enough a method of symmetries with some numbers inside others. The method of the symmetry would have extraordinary abilities with putting special order.
    Each number must be at the same time the sum of two of its figures. The first number of these couples would have the n virtues' called.  The second would have l virtues. The n would be always superior to l.
   This way, the couple's would form a succession of exclusive numbers and sum equal. See

 8 =5+3=6+2=7+1=8+0.
7 =4+3=5+2=6+1=7+0.
6  =4+2=5+1=6+0.
5 =3+2 =4+1=5+0.
4 =3+1=4+0.
3 =2+1=3+0.
2 =2+0.
1 =1+0.

   These series, would-be endowed of physical components, to use periods. They should take exclusive place completing symmetries.
   The bricks obtained order. We will show the construction of their first building in form of tables. We do not forget that it is a factory of to build the symmetries. Another thing is that the levels and the sublevels house different energy distributions.
 

RULE  N+L.  TABLE 1 TO FILL ORDER.

  Levels  order 

(a) =n+l 

1 

..........

2 

..........

 3 

..........

 4 

..........

 5 

..........

 6 

..........

  7 

..........

8 

..........

 

(b)  

 

(c) 

Atoms 

 

 

 

 

14 

10

6

2

32

X. 120

7

 

 

 

 14

 10

 6

 2

 

32

Ra 88

 

 

 

10

  6

 2

 

 

18

Ba 56

5

 

 

10

 6

  2

 

 

 

18

Sr 38

4

 

 

6

2

 

 

 

 

8

 Ca 20

3

 

6

2

 

 

 

 

 

8

   Mg 12

2

 

2

 

 

 

 

 

 

2

Be  4

1

2

 

 

 

 

 

 

 

2

 He 2 

 

2

8

18

32

32

18

8

2

 

 

 

Levels

order   

(a) =n+l 

1 

..........

2 

..........

 3 

..........

 4 

..........

 5 

..........

 6 

..........

  7 

..........

8 

..........

 

(b)  

 

Atoms  

(c)

 

 

 

 

14 (17)

10(18)

6(19)

2(20)

32

X. 120

7

 

 

 

 14(13)

 10(14)

 6(15)

 2(16)

 

32

Ra 88

 

 

 

10(10)

  6(11)

 2(12)

 

 

18

Ba 56

5

 

 

10(7)

 6(8)

  2(9)

 

 

 

18

Sr 38

4

 

 

6(5)

2(6)

 

 

 

 

8

 Ca 20

3

 

6(3)

2(4)

 

 

 

 

 

8

   Mg 12

2

 

2(2)

 

 

 

 

 

 

2

Be  4

1

2(1)

 

 

 

 

 

 

 

2

 He 2 

 

2

8

18

32

32

18

8

2

 

 

 
   The  horizontal line superior indicates the order of levels with the number n.
 (a) 1, 2, 3, 4, 5, 6, 7, 8. The components of  l are under them.
     It will not see the 0, 1, 2, 3 mentioned  numbers previously.  To achieve the symmetry with all the atoms, they have to be substituted by the number of their components.  Here l  = 0, 1, 2, 3 = 2(l +1) = 2, 6, 10, 14.
    In their horizontal line, the period's couples are distributed with sequence mentioned.

    The following table,  within a parenthesis  the construction incorporates, coincident with successive energy of the atom's basic states.

   We will see that sublevels in the horizontal of the periods belong to atomic successive numbers.
   We  vertically see n levels, composed simultaneously with sublevels' of atomic different successive numbers.
    However, this fulfils an important symmetry between them. While the level's order vertically filled is with growing sublevels' (2,6, 10, 14), the period's order horizontally filled is with falling sublevels'  (14,10, 6, 2).
    Observe then that the highest sublevel in each column is also the first member of the period to the right and it belongs to both parts of a strange two-dimensional symmetry. The different sums of columns or lines coincide with the atomic series  2n2 in these cases.

 These magic numbers of the rule invite us to investigate this perpendicular relationship. If between two directions, with different assignments, a dependency ignored is discovered, this can be some important physical implication. Notice that the vertical succession happens before the perpendicular symmetrical order. Then each level, like in the cells it happens, contains information of the following construction.
 
  We know that the atom of the hydrogen has 2n2 successive numbers for levels' transitions. We know how these successive levels are occupied by 2n2 electrons in the following atoms.
  If to this numeric behavior of levels  the symmetry conditions assign 2n2, it is advancing an atomic whole structure prediction.
  Note that the n2 series behaves in the rule n+l, demanding a symmetry to become in 2n2.
  So, fundamental appearance condition of this rule is the formation of symmetrical atoms.

  Note that each line of periods added, produces a general symmetry in the distribution of electrons. That is to say:  2, * 2-2,* 2-8-2, * 2-8-8-2,* 2-8-18-8-2, * 2-8-18-18-8-2, * 2-8-18-32-18-8-2, * 2-8-18-32-32-18-8-2* electrons.  Their structures correspond to the atoms with the numbers of 2, 4, 12, 20, 38, 56, 88 and 120. They are known as He, Be, Mg, Ca, Sr, Ba, Ra, and X.  Are indicated in the column (b).

  Scientific terminology indicates the capacity for the sublevel's 2, 6, 10, 14, upon letters representing numbers:  2 = s, 6 = p, 10 = d and 14 = f.
 

Figure 1. Atomic radius.

 
  We see, in descending order, groups of points formed by the sublevels that compose the periods. Some exceptions that are observed overlapping between sublevels', explanation finds when they are separate. Are designated by their capacity, letter and number, and the atomic numbers of limits. The parentheses indicate the level that the sublevel l is added.

  The lines of the superior and inferior margin indicate us two forms of distinguishing the periods. Obtain them when prolonging on the figure the separation between their numbers.

The virtues that distinguish the classification of the periods for the line of the rule are:
    These maintain the symmetry of the rule n+l.
    These  maintain an order of pairs,  (2.  2.  8.  8. 18. 18. ...)
    These separate a succession of levels,
    (1);  (2);  (2)(3);  (3)(4);  (3)(4)(5);  (4)(5)(6);  (4)(5)(6)(7); ...
    These separate  an inverse sublevels succession,
    2s;  2s;  6p,2s;  6p,2s;  10d,6p,2s;  10d,6p,2s;  14f,10d,6p,2s; ...

The classification, from the line of the inferior margin, separates the descending successive sublevels as they are exposed in the Periodic Table. Its imperfections are:
    These do not maintain the symmetry of the rule n+l.
    These break for the first one the pair order, ( 2.  8.  8. 18. 18. ...)
    These do not separate a succession of levels.
    (1);  (2)(2);  (3)(3);  (4)(3)(4);  (5)(4)(5);  (6)(4)(5)(6);  ...
    These do not separate  an inverse sublevels succession.
    2s;  2s,6p;   2s,6p;   2s,10d,6p;   2s,10d,6p;   2s,14f,10d,6p; ...

  If we call steps to the difference between radii of successive numbers, the average of the steps surpasses double its compression when  sublevels change. (0,279, 0,129, 0,054 and 0,024, to 2, 6, 10 y 14).  (Consult the tables 6 and 7 at the end).

   Here it stands out a question to be difficult to explain the step's why reduces the atom radius when adding electrons? Does it imagine a deposit, where adding the matter, becomes smaller?
   Some atomic radii reduce their size more than the half, with the filled of a sublevel.
   For example, sublevels of number  5 at 10 and 13 at 18.

   This is not understood well with repulsion of Coulomb force, or even adding protons. This does not explain why a couple of electrons added annulling the law and they can travel with opposed turns. It does not explain because spin coupled annuls the law and a pair can travel attachés with opposed rotations. It does not explain the reason,  the full levels become ionic armour. Why, the electrons circulating has lost the condition to emit the Maxwell radiation.

   Even this way, the physics requires an interpretation where the lost radius must substitute the increased level with more energy, mass and charge. Let us, leave this observation for the end.

  The rule indicates to parts compressed, like components of a level, in perpendicular symmetry. It is interesting to recognize that the averages substitute for this environment the uniformity of the whole numbers and their symmetries inside atoms.

   For the atomic theory an atom with the rule n in their interior it can be related with the one box resonance. Regrettably it is necessary to break the surface to check their interior and it can only be making with the destruction of numerical order. There is not possibility to know their interior directly.

  Before continuing is necessary to clarify another possible confusion. The levels' order from the radius table is obtained heaping one period above another, in form that indicates the rule. The necessity of this accumulation indicates that  interior atom structure cannot correspond directly to successive radii of these periods.

  Practically, starting from the third level, each new order of the period begins crossing to the interior, crossing other levels. If it is extracted or an electron of the 14f  is inserted  this  will pass over two levels already included  without caring the condition of circular or spherical armour interposed. It does not present fracture, any destruction, that it distinguishes these penetrations.

  If the Solar System observes the rule n+l, a planet would contain the information of the whole system. This seems impossible because it would be necessary to demonstrate the existence of levels, symmetries and equivalences that the rule demands. Also, the rule refers to a structure of symmetry that seems to reject its direct relationship with the materialization of the energy, the mass, the distance, the speed, the density or the forces. The rule seems to ignore the rest of the physics.
   Nevertheless the rule establishes atoms that in fact are present in the reality.
   We can add structural content. The 1/137 constitute  nondimensional number,  to relate the fine structure to the rest of the levels. But it can also discover structure in the Solar System. It seems to point out some correspondence.
Notice than series of the harmonic fractions,
1/0 - 2/1  - 3/2  - 4/3  - 5/4  - 6/5
 when it is multiplied by their inverse operation,
0x1 - 1x2 - 2x3 - 3x4 - 4x5 - 5x6.
 the distribution of 2n obtains.
1  -   4   -  9   -  16   -  25   -  36
   Marc Torra, reader, insists on your desire “to understand the relation between the harmonic fractions 2/3, 3/4, 4/5, and the series of  2n2  (2, 8, 18, …)”, we try to clarify
   The harmonic frequencies correspond to proper modes of a structure.
   The harmonic fractions, in ours case corresponds to physical supposed successive levels, where n = 1, 2, 3, 4, 5, 6...,
   Let's leave 0 as an impossible mathematician. Here the physical order demands the existence of the level 1.
   Observe that every number itself repeats twice, for its previous relation and for its relation following.
   Every series represents a relation different from structure.
   This way, the second series manifest another form of relation with the same levels.
   Nevertheless, multiplying the same order, in both series, we obtain for its numbers an elevation of more complex structure.
1 -     2 -     1,5-    1,333, -   1,25-     1,2 -
1  -     2 -     6 -     12 -         20 -        30
1 -     4 -     9 -      16 -          25 -       36
   Surprisingly, it corresponds with the material capacity of the distribution order of electrons.
   It is similar to meet the mechanics of a new property.
   Doubling the distribution  we obtain the bipolarity with 2n2.
   Its better comprehension  follows the periodic configuration of successive atoms on table of the figure 3.
  The present science describes  atomic structure with idea of Broglie particles and wave equation of Schrödinger. However in our scale of nature the experience of particle/waves does not exist. Really, we do not know what they mean. Something similar happens with the interpretation of the turn of the electron. Their equations represent different behaviours of the energy.

  For example, we have to replace  lost radius by incorporation into energy, mass and charge. The problem can be that the strangest phenomena in our science coincide with  different forms of the same physics. The relativity of Einstein has curved the space absorbing associated with the condensation of a mass.

  For the relativity there should exist a proportion of mass, energy, and curvature space, implied in the atom. The atom is electromagnetic energy accepted like E = mc2. Also in the atom gravitational effects are proportional to mass and are inversely proportional to the square of distance.

  If we are really demanding, E = mc2  must also add a quantum structure with geometric and symmetrical implication of integers. For this, we have to incorporate in the atom the concept of aggregation rules for the gravity and disintegration for the escape. With the electrons force accumulating in level armour and the ionization of the electrons.

  We see how the nature maintains some fundamental mathematical games to form its structures. Suppose you that order and the symmetries that it shows the rule also adopt the Principle of Laves, of the possible higher symmetry for their interior stability, starting from the use of the numbers elementary adopted by the quantum mechanics.
  R. B. Woodward (Nobel) and R. Hoffmann, J., say in  "The Conservation of the Orbital Symmetry" that  geometric balance reason that avoids the reactions against the principle of conservation of symmetrical levels.
 The electron configuration  in the stable atom is similar to order of fundamental energy. Therefore, each sublevel or level is a fragmentation of that continuity.

  The following lines show how the symmetry represents the configuration.

  An elementary origin for its symmetry would be on a straight line crossing a point, with addition of pairs, one for side of the central point forming series of 1, 3, 5, 7 points separated by repulsion. With symmetrical demands of repulsion the double dimension requires a repetition or simultaneous reflection regarding another central axis.  The 2 (1, 3, 5, 7)  appear in a distribution of growth like in the following table.

-3., -2, -l.,...0....+l, +2, +3,

-2, -l., 0, +l, +2,

-l., 0, +l,

 ...0...

 ...0...

-l., 0, +l,

-2, -l., 0, +l, +2,

-3., -2, -l.,...0....+l, +2, +3,

  If 4 new electrons increase the capacities, we locate them in the ends-square space of successive levels with symmetrical repulsion. These separations also associate with the rule of Hund for antiparallel places. The series composed by 2n2 = 2, 8, 18, 32  indicates the capacity of the different atomic levels. If they must absorb a radius of lost spaces, they should have own space that the step of others should allow.

  The rings of the big planets demonstrate the existence of the central plane, then these electrons can be to accommodate to a spherical figure with polarities the effect of Coriolis.
 

Figure 2

 
 
 

  Demanding more, they will also have to be adapted to the disposition of the quantum numbers. Fig. 3.

Figure 3. Geometric representation of the quantum numbers.

  The quantum numbers designate the four orders of the energy of an electron adapted to orders of geometric symmetry. They are distinguished for four letters:  n, l, m,  s.
  At the moment, we have enough about these numbers to note the following:
(n)  The column n, it indicates to interior distribution between two number limits' of each level. These are usually also indicated with capital letters. The numeric order 1, 2, 3, 4, 5, 6 and 7 it is equal to K, L, N, O, R, P, Q.  But, we use the capital letters to indicate the line L.
(l) The column l designates lines of distribution of the sublevels with numbers' or letters' l. The letters obey a historical origin. It indicates the two opposed lines of the antiparallel  places, of Hund.
(m)  It designates the internal order configuration or the values of magnetic separation components.  The states indicated by most of the quantum mechanics refer to alteration states. There are not indications in the state of electrons' aggregation, without magnetic separation.
(s) It designates for two polarities or opposed spins, in this case located in different hemispheres  1/2  and +1/2.

  The quantum mechanics considered as physics of the alteration of the fundamental states of the matter or the energy, there are not indications of aggregation of electrons without magnetic separation. When a magnetic action intervenes, the four numbers show us its structure  by the total unfolding of its energy. Many of the authors use the four numbers with intervention of the magnetic field with the denomination n, l, ml, and ms.
Complementary:
(a) It adds the total capacity of the order of distribution included in both parts.
L) This order designate embraced width by the places of the possible transitions. Their capital letters can also indicate the sum of values, implied, in an orbital moment.

  Not confuse order capacity with levels' order. Most of the atoms, they do not occupy this capacity. Order of symmetrical occupation  of levels, it is invested in every period when passing the centre filling. For most of the physics, the places for occupying do not exist, however, they stay here, to designate order of the possible transitions for alteration. (Soon we will add an appendix with image utility for representation of transitions).

  The moment has arrived, of treating the important question left behind when an extraordinary and strange perpendicular symmetry was noticed.
  The rule cannot ignore its physical repercussion. We have the symmetries for periods of the rule, order of atomic radios and the Periodic Table. They cannot be spiritual. Where are the whole numbers and their symmetries in the measured reality of the radii?
It is interesting to admit that the uniformity of the whole numbers and their symmetries inside the atoms have to be in the called averages of similar energy including uncertainties.
A connection should exist between the rule and the physics without recognizing still.
  The particles of gases can have an infinite difference of masses, speeds, spaces and directions inside their physical limits.
  Nevertheless, law of Avogadro say, that the particles of gases complete with its masses, speed, and space a fixed average of superior dimension. Meanwhile, everything is allowed to the individual particle for to take borrowed freedoms in their smallest dimension.
  Different positions or speeds allow, for the symmetry with time of the pendulums, that inevitably will have to complete an average of a unit of  superior symmetry. The same uncertainty is not more than a principle that has to form a symmetry through the time.
We do not need other examples. A new panorama is approached starting from new conclusion
  Let us see the distribution of the averages corresponding to the components of each level.
  Let us see the differences of the individual radii in the periods, as freedom from energy  options related inevitably with the integers 2, 8, 18, 32, 18, 8, 2.
Then, let us see the distribution of the averages corresponding to the components of each level.
   For this confirmation sees table 2 and the following tables at the end.
TABLE 2   ORDER FOR COMPRESSION AVERAGES FILLED
TABLE 5. ELECTRONIC RADIUS IN PERIODS
TABLE 6. AVERAGES OF SUBLEVELS  COMPRESSION
TABLE 7. STRUCTURE OF AVERAGES OF A SUPPOSED ATOM IN SYMMETRICAL LEVELS
   We will verify with the measures of the averages they also indicate the natural construction of a general symmetry for the system.

  TABLE 2   ORDER FOR COMPRESSION AVERAGES FILLED

Order levels 

(a) =n+

1 

..........

2 

..........

 3 

..........

 4 

..........

 5 

..........

 6 

..........

  7 

..........

8 

..........

 

(b)  

 

(c)Atoms 

 

 

 

 

0,0242

0,0537

0,129

0,279

32

X. 120

7

 

 

 

 0,0242

 0,0537

0,129

 0,279

 

32

Ra 88

 

 

 

0,0537

  0,129

 0,279

 

 

18

Ba 56

5

 

 

0,0537

0,129

 0,279

 

 

 

18

Sr 38

4

 

 

0,129

0,279

 

 

 

 

8

 Ca 20

3

 

0,129

0,279

 

 

 

 

 

8

   Mg  12

2

 

0,279

 

 

 

 

 

 

2

Be  4

1

0,279

 

 

 

 

 

 

 

2

 He 2 

 

2

8

18

32

32

18

8

2

 

 

 
  We said that if the Solar System observes the rule n+l, a planet would contain the information of the whole system.  But to complete this puzzle is lacking more pieces:
  Their mathematical equivalences; the measure of masses; the symmetry among the orbits; the radius of the planets; where are charges?
  It seems that we have finished.

   Let us notice the importance of the moment in the atomic structure. Simplifying, the angular moment is the product of mass, speed and distances of the rotation axis. The angular momentum can only adopt certain values' whole multiples of the constant of Planck.
Their differences indicate the atomic structure.
   When the momentum concentrate, the rotation increases for the conservation of the momentum.
   Due to the gravity in stars rotation are effected bulk masses incorporation and collapses that make unavoidable a sudden exchange of the momentum. We can verify with the turns falling, in the atoms, that together would have the momentum sum.
   In the final aggregation, the original momentum is substituted by bigger radial speed.

   However, it is not the momentum knowledge that provides the mechanics of the aggregation or disintegration.
   But rather the structure absorbed by the gravity should be restored by the antigravity.
   This has a known formulation in the escape speed that there would be of substituting to the knowledge of the impulse.
   Escape speed2 = 2GM/R, or   =   (2G  x M/R)1/2
G is the gravitational constant equal to 6.670 x 10-8 cm2/gram sec2.

   For universal gravitation law and then for the relativity, we know that the force of attraction of planets has a relationship with the quantity of mass. These laws seem enough to explaining all the movements of the universe. However, neither the gravity nor the relativity predict the existent structure.
  If the distances and energy needs to have corresponding masses order, we have a system to justify the structure of the rule. And we could build an atomic structure, as an elementary Solar System.
  Also the solar system coincides with a symmetrical structure and regular levels in a model that predicts the distances and the planetary speeds. Consult “On The Structure Solar System”  http://137.awardspace.info/2604onthetrue.htm  
  Being this way, the previous supposed relationships, that could not be proven directly in the atom, if they will be able to make it in the Solar System noticing their relationship with the general symmetry.   See table 3 the escape speeds corresponding to the planets of the Solar System.
   In them neither symmetries nor levels are appreciated.
   See what happens locating measures and order of symmetrical levels on resonance box, only built leaving of 137, with geometric arguments in the pattern mentioned.
Table 4.

  Checking

 TABLE  3. ESCAPE SPEEDS  OF PLANETS

Planet  

..........

Mean Distance 

(km

Radius  

(km)

 Mass 

(kg)

 Escape 

speeds

Proportion  

 /1,919

Atomic 

Symmetry

Mercury

57910

2439

 3.30e23

 4.2

2.19

 

Venus

  108200

 6052

 4.87e24

 10.4

5,42 

 

Earth

149600

6378

 5.98e24

11.2

5,83

 

Mars

 227940 

 3398

6.42e23

 5.0

2.6

 

Jupiter

778000

71492

1.90e27

59.5

31

 

 Saturn

  1429000

 60268

 5.69e26

 35.5 

18,49

 

Uranus

2870990

25559

8.69e25

21.3

11,1

 

 Neptune

 4504300

 24764

 1.02e26

 23.5

 12,24

 

Pluto

5913520

1160

 1.32e22

1.3

0.68

 

 

TABLE 4. SPEEDS OF IT ESCAPE WITH SYMMETRIES

Planet  

..........

Mean Distance 

(km

Radius  

(km)

 Mass 

(kg)

Escape 

speeds

Proportion  

 /1,919

Atomic 

symmetry

Mercury

57910

2439

 3.30e23

 4.2

2.19

Venus/Mars

  291750

 3099

 5,51e24

 15,4

 8.02

 8

Earth/Neptune

583500

11967

 1.08e26

34.7

18,08

 18

Jupiter

778000

71492

1.90e27

59.5

31

 32

 Saturn

  1429000

 60268

 5.69e26

 35.5 

18,49

 18

Uranus

2870990

25559

8.69e25

21.3

11,1

 8

 Pluto

 5913520

 1160

 1.32e22

 1.3

 0.68

 2

***

  The possible obtaining of this symmetry between diffuse and dense planets,  surprise by the difference masses.
  However, the formation of an extraordinary material condensation  to the heavy elements  requires so much energy that is not considered possible inside the Solar System.
 The symmetry of the levels finds two couples' planets added in a previous place.
  In that case, Neptune and Earth, they formed a previous planet where occupy the asteroids,  converted into the central dot of box.
  Let us remember that the inclination of Uranus and orbit Pluto are attributed to displacements in the origin of system.
This can be observed applied to the Solar System, in http://perso.wanadoo.es/30127/2604onthetrue.htm

 

 

  Complementary tables used.
  Numbers and radius corresponding to the periods of the figure 1.

TABLE 5. ELECTRONIC RADIUS IN PERIODS

 

87 

2.70

88 

2.33

 

 

 

 

 

 

 

 

 

 

 

 

2s(7)

81 

2.08

82 

1.81

83 

1.63 

84 

 1.53

85 

 1.43

86 

1.34 

 

 

 

 

 

 

 

 

6p(6)

71 

2.25

72 

2.16

73 

2.09

74 

2.02

75 

 1.97

76 

 1.92

77 

1.87 

78 

 1.83

79 

 1.79

80 

 1.76

 

 

 

 

10d(5)

57 

2.74

58 

2.70

59 

2.67

60 

2.64

61 

2.62

62 

2.59

63 

2.56

64 

2.54

65 

2.51

66 

2.49

67 

2.47

68 

2.45

69 

2.42

70 

2.40

14f(4)

55 

3.34

56 

2.78

 

 

 

 

 

 

 

 

 

 

 

 

2s(6)

49 

2.00

50 

 1.72

51 

 1.53

52 

 1.42

53 

 1.32

54 

 1.24

 

 

 

 

 

 

 

 

6p(5)

39 

2.27

40 

2.16

41 

2.08

42 

2.01

43 

 1.95

44 

 1.89

45 

 1.83

46 

 1.79

47 

 1.75

48 

 1.71

 

 

 

 

10d(4)

37 

2.98

38 

2.45

 

 

 

 

 

 

 

 

 

 

 

 

2s(5)

31 

1.81

32 

1.52

33 

1.33

34 

1.22

35 

1.12

36 

1.03

 

 

 

 

 

 

 

 

6p(4)

21 

2.09

22 

2.00

23 

1.92

24 

1.85

25 

1.79

26 

1.77

27 

1.67

28 

1.62

29 

1.57

30 

1.53

 

 

 

 

10d(3)

19 

2.77

20 

2.23

 

 

 

 

 

 

 

 

 

 

 

 

2s(4)

13 

1.82

14 

1.46

15 

1.23

16 

1.09

17 

0.97

18 

0.88

 

 

 

 

 

 

 

 

6p(3)

11 

2.23

12 

1.72

 

 

 

 

 

 

 

 

 

 

 

 

2s(3)

5 

1.17

6 

0.91

7 

0.75

8 

0.65

9 

0.57

10 

0.51

 

 

 

 

 

 

 

 

6p(2)

3 

2.05

4 

1.40

 

 

 

 

 

 

 

 

 

 

 

 

2s(2)

1 

0.79

2 

0.49

 

 

 

 

 

 

 

 

 

 

 

 

2s(1)

TABLE 6. AVERAGES OF SUBLEVELS  COMPRESSION

Nunbers

Sublevel

 Order 

Radius

 

Compression 

 

/Steps

Average step

1-2

2

(1)

0,79- 0,49

0,30

/2

0,15

3-4

2

 (2)

2,05 -1,40

0,65

/2

0,325

11-12

2

 (4)

 2,23- 1,72

0,51

/2

 0,255

19-20

2

 (6)

2,77- 2,23

0,54 

/2

0,27

37-38

2

(9)

2,98 -2,45

0,53

/2

0,265 

55-56

2

(12)

3,34- 2,78

0,56

/2

0,28

87-88

2

(16)

2,70- 2,33

0,37

/2

0,185

 Average general of  5 with octets

 

 

 

 0,558 

 /2

 0,279

Average general of  2 without octets 

 

 

 

 

0,335 

 

/2 

 

0,167 

..............

5-10

6

(3)

1,17- 0,51

0,66

/6

0,11

 13-18

6

(5)

1,82- 0,88

0,94

/6

 0,157

31-36

6

(8)

1,81- 1,03

0,78

/6

 0,13

49-54

6

(11)

2,00- 1,24

0,76

/6

0,127 

 81-86

6

 (15)

 2,08- 1,34

0,74

/6

0,123

Average general of  6 

 

 

 

 

0,776  

 

 /6  

 

0,1293 

..............

21-30

10

(7)

2,09- 1,53

0,56

/10

 0,056

39-48

10

(10)

2,27- 1,71

0,56

/10

0,056 

71-80

10

(14)

2,25- 1,76

0,49

/10

 0,049

 Average general of  10

 

 

 

 0,537 

 

 /10 

 

 0,0537 

.............

57-70 

Average general of  14

14 

 

(13) 

 

2,74- 2,40 

 

 0,34 

 

/14 

 

 0,0242 

.............

 
 

  Average of 2 without octets.

 0,165 

  Average of  2 with octets

 0,279 

  Average of  6   electrons 

 0,129 

  Average of  10  electrons

 0,0537

 Average of   14  electrons 

 0,0242

TABLE 7. STRUCTURE OF AVERAGES OF A SUPPOSED ATOM IN SYMMETRICAL LEVELS

 

Número

Level

Sublevel

 Order

Radius

Compression 

Step

Averages

87-88

7

2s

(16)

2,70- 2,37

0,33

/2

0,165

 

 

 

 

 

 

 

 

81-86

6

6p

 (15)

 2,08- 1,30

0,776

/6

0,129

55-56

6

2s

 (12)

3,34- 2,78

0,558

/2

0,279

 

 

 

 

 

 

 

 

71-80

5

10d

(14)

2,25 1,71

0,537

/10

0,0537 

49-54

5

6p

(11)

2,00- 1,22

0,776

/6

0,129

 37-38

5

 2s

 (9)

 2,98 -2,42

 0,558

 /2

0,279

 

 

 

 

 

 

 

 

57-70

4

14f

(13)

2,74- 2,40

0,34

/14

0,0242

39-48

4

10d

(10)

2,27- 1,73

0,537

/10

0,0537 

31-36

4

6p

(8)

1,81- 1,03

0,776

/6

0,129 

19-20

4

2s

 (6)

 2,77- 2,21

0,558

/2

0,279

 

 

 

 

 

 

 

 

21-30

3

10d

(7)

2,09- 1,55

0,537

/10

0,0537 

13-18

3

6p

(5)

1,66- 0,88

0,776

/6

0,129

11-12

3

2s

(4)

2,23- 1,67

0,558 

/2

0,279

 

 

 

 

 

 

 

 

5-10 

2

6p

(3)

1,27- 0,51

 0,776

/6

 0,129

3-4

2

2s

(2)

2,05 -1,49

0,558

/2

0,279

 

 

 

 

 

 

 

 

1-2

1

2s

(1)

0,79- 0,46

0,33

/2

0,165

____________________
Bibliography is not made of those authors and extensive knowledge of easy consultation for the Internet.  If this doesn't, we contribute with enough data for their confirmation. The appreciable differences among different authors, in the figures that express the tables, like planetary distances or atomic radios don't alter the foreseen objective.
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