The Periodic Table as a Part of the Periodic Table of Chemical Compounds

TL;DR

The paper proposes extending the Periodic Table to include chemical compounds by using a new mathematical concept called the information coefficient of proportionality, aiming to classify all natural chemical entities systematically.

Contribution

It introduces the concept of the information coefficient of proportionality and hypothesizes a structured extension of the Periodic Table to encompass chemical compounds.

Findings

Unimodal distributions of information coefficients relate to atomic weights.

Expected values can define chemical compounds similarly to elements.

A proposed extended Periodic Table includes 95 elements and over 138,000 compounds per period.

Abstract

The numbers of natural chemical elements, minerals, inorganic and organic chemical compounds are determined by 1, 2, 3 and 4-combinations of a set 95 and are respectively equal to 95, 4,465, 138,415 and 3,183,545. To explain these relations it is suggested the concept of information coefficient of proportionality as mathematical generalization of the proportionality coefficient for any set of positive numbers. It is suggested a hypothesis that the unimodal distributions of the sets of information coefficients of proportionality for atomic weights of chemical elements of minerals and chemical compounds correspond to unimodal distributions of the above sets for combination of 2, 3 and 4 atomic weights of 95 natural chemical elements. The expected values of symmetrized distributions of information coefficients of proportionality sets for atomic weights of minerals and chemical compounds are proposed to be used to define chemical compounds, like atomic weights define chemical elements. Variational series of the expected values can be represented as a sequence of packets of 95 values. The Periodic Table should be extended to the Periodic Table of Chemical Elements and Chemical Compounds consisting of a short period with 95 chemical elements and 4,465 minerals, and 24 periods with 138,415 compounds each. All naturally occurred chemical elements, minerals and chemical compounds should be packed in 95 to compose the suggested Table. The first long period comprises the packets of inorganic compounds, the rest of the periods include the packets of organic compounds.