•Andreas Michels1,2, Jörg Weissmüller1,2
und Rainer Birringer2
1Institut für Nanotechnologie, Forschungszentrum Karlsruhe,
Karlsruhe, Germany
2Technische Physik, Universität des Saarlandes, Saarbrücken,
Germany
Based on a micromagnetics model, we develop a method through which quantitative
information on the volume-averaged mean-square magnetostatic stray field
á|Hbd|2
ñv due to non-zero divergences
of the magnetization M within the bulk of a ferromagnetic body can
be obtained by analysis of magnetic-field-dependent small-angle neutron
scattering data. In the limit of high applied magnetic field Ha,
when the direction of M deviates only sligthly from Ha,
we have estimated a lower bound for á|Hbd|2
ñv as a function of the external
field, and we have applied the method to bulk samples of nanocrystalline
(nc) electrodeposited Ni and Co and coarse-grained polycrystalline cold-worked
Ni. The root-mean-square magnetostatic stray field, which is inherent to
a particular magnetic microstructure, shows a pronounced field dependence,
with values ranging from about 5 to 50 mT. Even at applied fields
as large as 1.7 T, the quantity m0
á|Hbd|2
ñv1/2 of nc Co
is still 24 mT, which suggests that contributions to the total magnetostatic
field originating from the bulk are significant in nc ferromagnets; therefore,
á|Hbd|2
ñv cannot be ignored in the
interpretation of e.g. measurements of magnetization or spin-wave resonance.
A comparison of á|Hbd|2
ñv with the volume-averaged
mean-square anisotropy field reveals that both quantities are of comparable
magnitude. [Ref.: Eur. Phys. J. B 29, 533-540 (2002).]