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the temperature dependence of the exchange field at the normal site (other than
surface site) are assumed to have no surface effect. It is known to be a good
approximation that the temperature dependence of hyperfine field is proportional
to that of local magnetization at each site. As shown in Fig. 5.9 , the temperature
dependence of surface hyperfine field is well reproduced, if the exchange field at a
surface site is assumed to be 70 % of the value at the normal site. The reduction of
the exchange field at a surface site, 30 %, appears to be a reasonable size. Similar
results were also obtained in the Mössbauer studies for the surfaces of a-Fe 2 O 3 and
b-FeOOH [ 15 ]. These results are examples indicating that Mössbauer studies on
surface-selectively enriched samples furnish us unique information on the surface
(or interface) magnetic behaviors of non-metallic materials.
119 Sn Hyperfine Interaction in Magnetic Materials
5.5
As mentioned in Sect. 5.1 , 119 Sn is the second most convenient isotope to measure
Mössbauer spectra. The nuclear spin quantum numbers are the same as those of
57 Fe, i.e., 1/2 for the ground state and 3/2 for the 1st exited state. Eventually,
Mössbauer spectra show six-line patterns when an effective magnetic field is
induced at the 119 Sn nuclear sites (Fig. 5.10 ). Sn is essentially a non-magnetic
element and the nuclei do not feel a hyperfine field in bulk metallic Sn or in other
nonmagnetic compounds. However, in magnetic compounds, the conduction
electrons of Sn atoms are spin-polarized due to the hybridization with spin-
polarized electrons of the neighboring magnetic elements. This imbalance between
the numbers of up-spin conduction electrons and down-spin conduction electrons
creates a hyperfine field at the Sn nuclear sites through the Fermi contact inter-
action. In this way, 119 Sn nuclei can also be used as probes to detect electron-spin
(a)
(b)
119m Sn
m
I
μ 0 H hf
0 T
3
/
2
1
/
2
3
+
1
/
2
I
=
+
3
/
2
2
γ -rays 23.8 keV
5 T
≈≈≈ ≈≈
m
10 T
I
v
E
=
E
1
+
+
1
/
2
0
c
1
15 T
I
=
2
119 Sn
1
/
2
Source
Sample
Velocity (mm/s)
119
119
Fig. 5.10
Energy levels of
Sn nuclei and simulated
Sn Mössbauer spectra for hyperfine
fields of 0, 5, 10, and 15 T
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