![]() Michels, Andreas ![]() ![]() ![]() in IUCrJ (2020), 7 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 ... [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, we introduce the Guinier law for the case of magnetic small-angle neutron scattering (SANS) and experimentally demonstrate its applicability for the example of nanocrystalline cobalt. It is well- known that the magnetic microstructure of nanocrystalline ferromagnets is highly nonuniform on the nanometer 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 ▲] Detailed reference viewed: 84 (17 UL)![]() Michels, Andreas ![]() ![]() in Physical Review Applied (2017), 7 Detailed reference viewed: 163 (12 UL)![]() Michels, Andreas ![]() ![]() ![]() in Neutron News (2011), 22(3), 15-19 Detailed reference viewed: 134 (2 UL)![]() Honecker, Dirk ![]() ![]() in European Physical Journal B -- Condensed Matter (2010), 76(2), 209-213 Detailed reference viewed: 141 (6 UL)![]() Honecker, Dirk ![]() ![]() in Europhysics News (2010), 41(5), 15-15 Detailed reference viewed: 85 (5 UL)![]() ; ; et al in Journal of Applied Physics (2008), 103(7), 7301-7303 The magnetic domains of nanocrystalline Fe84Nb6B10 annealed under static and rotating magnetic fields have been investigated by means of magneto-optical Kerr effect (MOKE) microscopy in order to clarify ... [more ▼] The magnetic domains of nanocrystalline Fe84Nb6B10 annealed under static and rotating magnetic fields have been investigated by means of magneto-optical Kerr effect (MOKE) microscopy in order to clarify the origin of the dramatic magnetic softening brought about by rotating field annealing. The coercivity (Hc) values after static- and rotating-magnetic field annealings are 5.9 and 3.0 A/m, respectively. The MOKE image after static field annealing implies a highly coherent uniaxial anisotropy (Ku) in the sample whereas no sign of such a strong Ku is evident in the domain configuration after rotating field annealing. Our analytical solution of the random anisotropy model with additional Ku predicts that the fluctuating amplitude of the effective anisotropy (δK) in nanocrystalline Fe84Nb6B10 decreases from 20 to 11 J/m3 by removing Ku. The observed reduction of Hc may be attributed to this decrease in δK induced by rotating field annealing. [less ▲] Detailed reference viewed: 194 (4 UL)![]() ; Michels, Andreas ![]() in Journal of Magnetism and Magnetic Materials (2007), 316(2), 458-461 The effects of static- and rotating-magnetic-field annealing on the magnetic softness and the magnetization alignments in nanocrystalline Fe84Nb6B10 have been investigated by means of DC magnetometry and ... [more ▼] The effects of static- and rotating-magnetic-field annealing on the magnetic softness and the magnetization alignments in nanocrystalline Fe84Nb6B10 have been investigated by means of DC magnetometry and small-angle neutron scattering (SANS). At the remanent state, the SANS pattern obtained from the static-field annealed sample exhibited an enhanced SANS signal in the direction normal to the uniaxial anisotropy (Ku) field direction, indicating a well-developed long-range magnetization alignment along the direction of Ku. Contrarily, the SANS pattern for the rotating-field annealed sample is virtually isotropic at zero field, reflecting the lack of anisotropic magnetization alignments. The soft magnetic properties of nanocrystalline Fe84Nb6B10 are improved dramatically by rotating-field annealing due to the suppression of Ku. [less ▲] Detailed reference viewed: 149 (3 UL)![]() Michels, Andreas ![]() in Journal of Magnetism and Magnetic Materials (2007), 316(2), 448-450 We present small-angle neutron scattering (SANS) data for the temperature variation of the recently observed dipole-field-induced spin-misalignment scattering in the soft magnetic nanocomposite Nanoperm ... [more ▼] We present small-angle neutron scattering (SANS) data for the temperature variation of the recently observed dipole-field-induced spin-misalignment scattering in the soft magnetic nanocomposite Nanoperm (Fe89Zr7B3Cu1). The associated clover-leaf-shaped angular anisotropy of the SANS pattern, which is due to spin disorder arising from dipolar stray fields of the iron nanoparticles, persists up to several hundred Kelvin above the decoupling point of the intergranular amorphous matrix phase. This observation, in conjunction with the q-dependence of the scattering, suggests the existence of long-range magnetic correlations between the iron particles through the paramagnetic matrix, in agreement with previous investigations. The characteristic wavelength of the dipole-field-induced spin disorder appears to be temperature independent. [less ▲] Detailed reference viewed: 113 (2 UL)![]() ; ; et al in Journal of Alloys and Compounds (2006), 423(1-2), 31-36 The technique of SANS (small angle neutron scattering) furnishes unique information on the characteristic magnetic length scales and local magnetic anisotropies at the nanoscale in nanocomposite ... [more ▼] The technique of SANS (small angle neutron scattering) furnishes unique information on the characteristic magnetic length scales and local magnetic anisotropies at the nanoscale in nanocomposite ferromagnets. Such information is not presently available using any other microscopic technique. The basic principles and results of the technique will be presented with regard to a unique and unexpected observation of a dipole field controlled spin disorder in a prototypical soft nanocomposite ferromagnet of the Nanoperm type. [less ▲] Detailed reference viewed: 92 (2 UL)![]() Michels, Andreas ![]() in Physical Review. B, Condensed Matter and Materials Physics (2006), 74(13), 1344071-13440713 We present results for the magnetic-field, temperature, and neutron-polarization dependence of the small-angle neutron scattering intensity in the soft magnetic iron-based nanocomposite Nanoperm ... [more ▼] We present results for the magnetic-field, temperature, and neutron-polarization dependence of the small-angle neutron scattering intensity in the soft magnetic iron-based nanocomposite Nanoperm (Fe89Zr7B3Cu). An unusual “clover-leaf-shaped” intensity distribution on the detector is attributed to the dipolar stray fields around the nanosized iron particles, which are embedded in an amorphous magnetic matrix of lesser saturation magnetization. The dipole field induces spin disorder, correlating the spin misalignment of neighboring particles and matrix over several particle spacings. The clover-leaf-shaped anisotropy is observed over a wide range of applied magnetic field and momentum transfer. It persists up to several hundred degrees Kelvin above the Curie temperature of the matrix phase, indicating that some degree of magnetic coupling persists even when the matrix is paramagnetic. [less ▲] Detailed reference viewed: 109 (4 UL)![]() ; ; et al in Applied Physics Letters (2005), 87 We present magnetic-field-dependent small-angle neutron scattering data for the ferromagnetic nanocomposite Nanoperm (Fe89Zr7B3Cu1). The spin-misalignment scattering in the approach-to-saturation regime ... [more ▼] We present magnetic-field-dependent small-angle neutron scattering data for the ferromagnetic nanocomposite Nanoperm (Fe89Zr7B3Cu1). The spin-misalignment scattering in the approach-to-saturation regime unexpectedly reveals pronounced lobes of high intensity at angles ±30−40° relative to the magnetic-field axis. Based on numerical calculations, the four-fold angular symmetry of the scattering pattern can be explained in terms of local spin misalignment, which originates from dipolar stray fields due to the mismatch of the saturation-magnetization values between the bcc Fe particles and the amorphous magnetic matrix. [less ▲] Detailed reference viewed: 108 (2 UL)![]() Michels, Andreas ![]() in Europhysics Letters (2005), 72(2), 249-255 We report on a study of a magnetic nanocomposite of the Nanoperm type (Fe89Zr7B3Cu1) by magnetic small-angle neutron scattering (SANS). The understanding of the magnetic microstructure of these materials ... [more ▼] We report on a study of a magnetic nanocomposite of the Nanoperm type (Fe89Zr7B3Cu1) by magnetic small-angle neutron scattering (SANS). The understanding of the magnetic microstructure of these materials leaves much to be desired since we lack techniques capable of resolving the spin structure in the bulk with nanoscale resolution. Here, we present an analysis of the SANS signal by which one cannot only characterise the nanoscale structure of the spin system, but which allows to identify origin and structure of the perturbing field. In Nanoperm, an unusual angular anisotropy of the scattering suggests that the local spin misalignment decorates, as the most important perturbing field, dipole stray fields around the crystalline phase of the composite. [less ▲] Detailed reference viewed: 88 (1 UL) |
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