
Molly P. answered 03/14/20
Geosciences PhD Candidate, Geosciences BS
This question relates to the ability of elements to enter a solid or liquid phase during a partial melting of minerals. If (for example) you crystallize K-feldspar from a melt, it will incorporate all of the elements in its chemical structure KAlSi3O8 as well as other elements such as Rb which can substitute into the lattice structure of the mineral. The ability of a cation to substitute for another cation in a lattice structure is determined by its size (ionic radii) and charge. Because both K and Rb are in the same group of the periodic table, Rb can readily substitute for K in K-feldspar. However, an element such as Sr will not substitute as readily because of its charge. This is the concept of compatibility.
HFSEs and LILEs are both groups of elements which do not readily enter, or tend to be incompatible with, the solid phase of a mineral. HFSEs are characterized by having large ionic radii and LILEs are characterized by their high charge. Because they do not compose a large percent, by volume, of the mineral they may be found in and they are unlikely to incorporate at other stages of a rocks "life," they can be precisely measured. They are often used to date rocks via radiogenic isotope geochemistry or to understand the overall composition of a magma from which a crystal cooled.
Hope this helps! Let me know if you have any other questions!