Hill limit (solid-state)

In solid-state physics, the Hill limit is a critical distance defined in a lattice of actinide or rare-earth atoms.

levels in their valence shell and are therefore responsible for the main interaction between each atom and its environment.

[2] Therefore, if two atoms of the lattice are separate by a distance greater than the Hill limit, the overlap of their

A direct consequence is the absence of hopping for the f electrons, ie their localization on the ion sites of the lattice.

Localized f electrons lead to paramagnetic materials since the remaining unpaired spins are stuck in their orbitals.