Linear Depenedences of Van Der Waals, Covalent and Valence Shell Radii of Atoms of Groups 1a - 8a on their Bohr Radii

TL;DR

This paper demonstrates that van der Waals, covalent, and valence shell radii of elements from groups 1a to 8a are linearly related to their Bohr radii, extending previous findings to all these groups.

Contribution

It establishes a universal linear relationship between atomic radii types and Bohr radii across multiple element groups, with detailed data and graphical evidence.

Findings

Radii are sums of multiples of Bohr radii and constants.

Linear dependence confirmed for all groups 1a to 8a.

Provides data tables and figures supporting the relationships.

Abstract

An earlier finding that the van der waals radii are related to their de broglie wavelengths for some non-metallic elements has been extended here to show that in fact, they vary linearly with the ground state bohr radii for all the elements of groups 1a to 8 a. Similarly, the valence shell radii and the covalent radii are shown to be linearly dependent on the bohr radii. One table of data and 5 figures have been provided here showing that all the above radii are sums of two lengths, one of which is a multiple of the bohr radius and the other, a positive or negative constant for each group of elements.