Metal
oxide materials that adopt the spinel crystal structure,
such as metal ferrites (MFe2O4), present tetrahedral
(A) and octahedral [B] sublattice sites surrounded by oxygen anions
that provide a relatively weak crystal-field splitting. The formula
of a metal ferrite material is most precisely described as (M1–x
Fe
x
)[M
x
Fe2–x
]O4, where the parentheses and square brackets denote the tetrahedral
and octahedral sites, respectively, and x is the
inversion parameter quantifying the distribution of M2+ and Fe3+ cations among these sites. The electronic, magnetic,
and optical properties of spinel ferrites all depend on the magnitude
of x, which, in turn, depends on the relative sizes
of the cations, their charge, and the relative crystal-field stabilization
afforded by tetrahedral or octahedral coordination. Compared to bulk
spinel ferrites, the large surface-area-to-volume ratio of spinel
ferrite nanocrystals provides additional structural degrees of freedom
that enable access to a broader range of x values.
Achieving synthetic control over the degree of inversion in addition
to the size and shape is critical to tuning the properties of spinel
ferrite nanocrystals. In this Forum Article, we review physical inorganic
methods used to quantify x in spinel ferrite nanocrystals,
describe how the electronic, magnetic, and optical properties of these
nanocrystals depend on x, and discuss emerging strategies
for achieving synthetic control over this parameter.