The periodic law requires obviousness

There are three basic modes of functional associations representation known in science: a) analytical, b) graphic, c) tabular.

From the moment of its statement the periodic law required tools of expression. The table was chosen as the basic tool.

There were many attempts to find an adequate form, visual representation of the law. More than 500 modifications of the periodic system are known today. Tables (> 400) predominate among them; the remaining images are various geometrical figures, analytical curves and so on. [2] [See, for example, [10].

The great variety is explained, obviously, not only by supplement of the system with new elements, but also by the objective difficulties of quasiperiodic structure representation.

In most of periodic objects and events observed in nature, (for example, segmented worms, striated muscle, oscillation of a pendulum, rhythm of heart muscle contraction, change of time of day, seasons of year and so forth), the length of periods is constant or it increases in regular intervals in an arithmetical or geometrical progression, (some patterns on plants or spiral shells of some chambered mollusks). In the periodic law modification of period length is a variable value. The length of periods in the system composes neither a geometrical nor an arithmetical progression. This variable submits to the more complicated nonlinear association based on the electronic configuration of an atom.

The difficulties at construction of the periodic system of elements remind, from my point of view, of a packing problem. How to pack the things - periods (for example, books of a different format) on shelfs of afixed length? Hydrogen (H) and helium (He) cannot fill a line of the first period of the traditional table (even if hydrogen is written twice). With magnification of the period number the arrangement of elements in its lines becomes tighter. The lanthanides and the actinides cannot be laid (squeezed) at all into standard formats and are born outside of the table. If we speak about theoretically predicted superheavy elements, the problem of their arrangement is even more aggravated (complicated).

Extended Periodic Table


	IA																	0
1	1 H	IIA											IIIA	IVA	VA	VIA	VIIA	2 He
2	3 Li	4 Be											5 B	6 C	7 N	8 O	9 F	10 Ne
3	11 Na	12 Mg	IIIB	IVB	VB	VIB	VIIB	VIII			IB	IB	13 Al	14 Si	15 P	16 S	17 Cl	18 Ar
4	19 K	20 Ca	21 Sc	22 Ti	23 V	24 Cr	25 Mn	26 Fe	27 Co	28 Ni	29 Cu	30 Zn	31 Ga	32 Ge	33 As	34 Se	35 Br	36 Kr
5	37 Rb	38 Sr	39 Y	40 Zr	41 Nb	42 Mo	43 Tc	44 Ru	45 Rh	46 Pd	47 Ag	48 Cd	49 In	50 Sn	51 Sb	52 Te	53 I	54 Xe
6	55 Cs	56 Ba	57 La	72 Hf	73 Ta	74 W	75 Re	76 Os	77 Ir	78 Pt	79 Au	80 Hg	81 Tl	82 Pb	83 Bi	84 Po	85 At	86 Rn
7	87 Fr	88 Ra	89 Ac	104 Rf	105 Ha	106 Sg	107 Ns	108 Hs	109 Mt	110 Uun	111 Uuu	112 Uub	113 Uut	114 Uuq	115 Uup	116 Uuh	117 Uus	118 Uuo
8	119 Uue	120 Ubn	121 Ubu	154 Upq	155 Upp	156 Uph	157 Ups	158 Upo	159 Upe	160 Uhn	161 Uhu	162 Uhb	163 Uht	164 Uhq	165 Uhp	166 Uhh	167 Uhs	168 Uho
			6	58 Ce	59 Pr	60 Nd	61 Pm	62 Sm	63 Eu	64 Gd	65 Tb	66 Dy	67 Ho	68 Er	69 Tm	70 Yb	71 Lu
			7	90 Th	91 Pa	92 U	93 Np	94 Pu	95 Am	96 Cm	97 Bk	98 Cf	99 Es	100 Fm	101 Md	102 No	103 Lr
			8	122 Ubb	123 Ubt	124 Ubq	125 Ubp	126 Ubh	127 Ubs	128 Ubo	129 Ube	130 Utn	131 Utu	132 Utb	133 Utt	134 Utq	153 Upt
8	135 Utp	136 Uth	137 Uts	138 Uto	139 Ute	140 Uqn	141 Uqu	142 Uqb	143 Uqt	144 Uqq	145 Uqp	146 Uqh	147 Uqs	148 Uqo	149 Uqe	150 Upn	151 Upu	152 Upb

Figure 1.This periodic table is extended to include element 168.
The elements 113, 115, 117, and above 118 have not yet been
proven to exist, they have only generic names and symbols.

Materials of the site [10] are used (adapted) by creation of the table. The length of periods - is not a simply nonconstant magnitude - this magnitude itself varies periodically. In each even period one observes its integration on the progressively growing magnitude equal to double odd number {6, 10, 14..., 2 (2n-1)...); n = 2, 3, 4...}.

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