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Table 4.1 Characteristics of main spinel ferrites with expected distribution of cations in tetra-
hedral (A) and octahedral (B) sites and theoretical values of magnetization
Ferrite
A-site
B-site
Magnetization (l B )
Fe 3+
Fe 2+ ,Fe 3+
Fe 3 O 4
4.0
Fe 3+
Co 2+ ,Fe 3+
CoFe 2 O 4
3.5
Fe 3+
Ni 2+ ,Fe 3+
NiFe 2 O 4
2.2
Fe 3+
Zn 2+ ,Fe 3+
ZnFe 2 O 4
0
Fe 3+
Mn 2+ ,Fe 3+
MnFe 2 O 4
4.6
Fe 3+
0,5Mn 2+ , 0,5Fe 2+ ,Fe 3+
Mn 0,5 Zn 0,5 Fe 2 O 4
7.0
Fe 3+
Cu 2+ ,Fe 3+
CuFe 2 O 4
1.2
local symmetry. As listed in Table 4.1 , one can distinguish normal or direct
A 2 þ B 3 þ 2 O 4 spinels where A 2 þ ions occupy the tetrahedral sites and B 3 þ ions
the octahedral ones and inverse B 3 þ A 2 þ B 3 þ
2 O 4 spinels where A 2 þ ions
occupy the octahedral sites, half of B 3 þ ions the tetrahedral ones and half of B 3 þ
ions the octahedral ones. But spinels with defective structure are usually evi-
denced: (A k B 1 - k )[A 1 - k B 1 ? k ] 2 O 4 , where inversion parameter k = 0 and 1
stands for the inverse and normal cases, respectively, and 1/3 for random. Spinel
ferrites are materials with fascinating magnetic, electronic and transport proper-
ties: they can be half metallic such as Fe 3 O 4 (magnetite as mixed valence system)
or insulating (most of spinel ferrites), ferrimagnetic (most of spinel ferrites) or
antiferromagnetic (ZnFe 2 O 4 ) as ideal bulk state. Indeed, one has to pay attention to
the cationic distribution which strongly influences of the physical properties. Their
ferrimagnetic structure was first explained by Néel through two-sublattice model
resulting from superexchange interactions between cations (J AA ,J BB and J AB )[ 53 ].
But cationic inversion and substitution with non-magnetic ions originate non
collinear up to spin-glass-like structures. For the last 50 years, numerous experi-
mental, theoretical and numeric studies have been devoted to model the magnetic
and electronic structures and to estimate the superexchange constants in micro-
crystalline ferrites. It is clear that in addition to the role of the chemical homo-
geneity, parameters as the surface anisotropy related to the surface state and
morphology, superparamagnetic relaxation phenomena and dipolar interactions
have to be considered to better understand intrinsic and extrinsic magnetic prop-
erties in the case of the nanoparticles of ferrites.
Consequently, the first question is to check whether the nanoparticles are
chemically homogeneous. Magnetite (Fe 3 O 4 ) appears to be a first excellent
illustration: indeed, when cooling, this bulk mixed valent Fe oxide undergoes a
charge ordering, i.e. metallic-insulating (Verwey) transition at about 120 K, the
nature of which, together with the magnetic properties are related to the metal-to-
oxygen stoichiometry [ 54 - 57 ]. It is also important to emphasize that maghemite
(c-Fe 2 O 3 ) has a similar structure but is insulating as it contains only ferric ions. As
is illustrated in Fig. 4.5 , the 300 K (and also above the Verwey transition)
Mössbauer spectrum of microcrystalline magnetite consists in two well resolved
magnetic sextets: from the values of hyperfine parameters, the outer sextet is
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