Structure factors for Er3Al5O12 and Yb3Al5O12 garnets were measured using f
ocused synchrotron X-radiation, with lambda = 0.7500(2) and 0.7000(2) Angst
rom, respectively. The difference electron density maps for Er3Al5O12 and Y
b3Al5O12 were similar, as expected. This was attributed to the 4f electrons
being shielded, which reduces their effectiveness in chemical bonding and
the relative position of the rare-earth atoms in the periodic table. The sy
mmetry of the difference electron density around the rare-earth atoms was f
ound to reflect that of the cation geometry, emphasizing the importance of
second nearest-neighbor interactions. This is consistent with the view that
oxide-type structures may be regarded as a packed array of cations with an
ions in the interstices.