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Magnetic Guinier law

Michels, Andreas ; Malyeyev, Artem ; Titov, Ivan ; Honecker, Dirk ; Cubitt, Robert ; Blackburn, Elizabeth LU and Suzuki, Kiyonori (2020) In IUCrJ 7(1). p.136-142
Abstract
Small-angle scattering of X-rays and neutrons is a routine method for the determination of nanoparticle sizes. The so-called Guinier law represents the low-q approximation for the small-angle scattering curve from an assembly of particles. The Guinier law has originally been derived for nonmagnetic particle-matrix-type systems and it is successfully employed for the estimation of particle sizes in various scientific domains (e.g. soft-matter physics, biology, colloidal chemistry, materials science). An important prerequisite for it to apply is the presence of a discontinuous interface separating particles and matrix. Here, the Guinier law is introduced for the case of magnetic small-angle neutron scattering and its applicability is... (More)
Small-angle scattering of X-rays and neutrons is a routine method for the determination of nanoparticle sizes. The so-called Guinier law represents the low-q approximation for the small-angle scattering curve from an assembly of particles. The Guinier law has originally been derived for nonmagnetic particle-matrix-type systems and it is successfully employed for the estimation of particle sizes in various scientific domains (e.g. soft-matter physics, biology, colloidal chemistry, materials science). An important prerequisite for it to apply is the presence of a discontinuous interface separating particles and matrix. Here, the Guinier law is introduced for the case of magnetic small-angle neutron scattering and its applicability is experimentally demonstrated for the example of nanocrystalline cobalt. It is well known that the magnetic microstructure of nanocrystalline ferromagnets is highly nonuniform on the nanometre length scale and characterized by a spectrum of continuously varying long-wavelength magnetization fluctuations, i.e. these systems do not manifest sharp interfaces in their magnetization profile. The magnetic Guinier radius depends on the applied magnetic field, on the magnetic interactions (exchange, magnetostatics) and on the magnetic anisotropy-field radius, which characterizes the size over which the magnetic anisotropy field is coherently aligned into the same direction. In contrast to the nonmagnetic conventional Guinier law, the magnetic version can be applied to fully dense random-anisotropy-type ferromagnets. (Less)
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author
; ; ; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
IUCrJ
volume
7
issue
1
pages
136 - 142
publisher
International Union of Crystallography
external identifiers
  • scopus:85078343144
  • pmid:31949914
ISSN
2052-2525
DOI
10.1107/S2052252519016439
language
English
LU publication?
yes
id
762787a6-2850-4d9d-b2f0-fd3eb683ec64
date added to LUP
2020-01-07 09:38:28
date last changed
2023-11-05 09:30:38
@article{762787a6-2850-4d9d-b2f0-fd3eb683ec64,
  abstract     = {{Small-angle scattering of X-rays and neutrons is a routine method for the determination of nanoparticle sizes. The so-called Guinier law represents the low-q approximation for the small-angle scattering curve from an assembly of particles. The Guinier law has originally been derived for nonmagnetic particle-matrix-type systems and it is successfully employed for the estimation of particle sizes in various scientific domains (e.g. soft-matter physics, biology, colloidal chemistry, materials science). An important prerequisite for it to apply is the presence of a discontinuous interface separating particles and matrix. Here, the Guinier law is introduced for the case of magnetic small-angle neutron scattering and its applicability is experimentally demonstrated for the example of nanocrystalline cobalt. It is well known that the magnetic microstructure of nanocrystalline ferromagnets is highly nonuniform on the nanometre length scale and characterized by a spectrum of continuously varying long-wavelength magnetization fluctuations, i.e. these systems do not manifest sharp interfaces in their magnetization profile. The magnetic Guinier radius depends on the applied magnetic field, on the magnetic interactions (exchange, magnetostatics) and on the magnetic anisotropy-field radius, which characterizes the size over which the magnetic anisotropy field is coherently aligned into the same direction. In contrast to the nonmagnetic conventional Guinier law, the magnetic version can be applied to fully dense random-anisotropy-type ferromagnets.}},
  author       = {{Michels, Andreas and Malyeyev, Artem and Titov, Ivan and Honecker, Dirk and Cubitt, Robert and Blackburn, Elizabeth and Suzuki, Kiyonori}},
  issn         = {{2052-2525}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{136--142}},
  publisher    = {{International Union of Crystallography}},
  series       = {{IUCrJ}},
  title        = {{Magnetic Guinier law}},
  url          = {{http://dx.doi.org/10.1107/S2052252519016439}},
  doi          = {{10.1107/S2052252519016439}},
  volume       = {{7}},
  year         = {{2020}},
}