Controlling the distribution of electrons in materials
is the holy
grail of chemistry and material science. Practical attempts at this
feat are common but are often reliant on simplistic arguments based
on electronegativity. One challenge is knowing when such arguments
work, and which other factors may play a role. Ultimately, electrons
move to equalize chemical potentials. In this work, we outline a theory
in which chemical potentials of atoms and molecules are expressed
in terms of reinterpretations of common chemical concepts and some
physical quantities: electronegativity, chemical hardness, and the
sensitivity of electronic repulsion and core levels with respect to
changes in the electron density. At the zero-temperature limit, an
expression of the Fermi level emerges that helps to connect several
of these quantities to a plethora of material properties, theories
and phenomena predominantly explored in condensed matter physics.
Our theory runs counter to Sanderson’s postulate of electronegativity
equalization and allows a perspective in which electronegativities
of bonded atoms need not be equal. As chemical potentials equalize
in this framework, electronegativities equilibrate.