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Theoretical analysis demonstrates a linear relationship between electronegativity, valence electrons, and covalent radius across 52 elements, indicating an absolute atomic scale.
The relation, x=0.31(n+1/r)+0.50, where x represents the electronegativity of an atom according to Pauling's revised scale, n the number of electrons in its incompletely filled (valence) shells, and r its single bond covalent radius measured in Angstroms, has been found valid for all elements having x values available for comparison, except for Ag, Au, and Cu. This equation is used to extend the electronegativity scale to include a total of fifty-two elements. A chart is constructed to demonstrate the systematic relation of the values to the periodic table. Beginning with the definition of the electronegativity of a neutral atom in a stable molecule as the potential at a distance r (covalent radius) from its nucleus which is caused by the nuclear charge effective at that distance, a simple theoretical justification is offered for the existence of a linear relation between x and (n+1)/r. This relation, like Mulliken's, provides an "absolute" scale of electronegativity values.
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Walter Gordy (1946) studied this question.
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