Neutron scattering formalism is briefly surveyed. Topics touched upon include coherent and incoherent scattering, bound and free cross-sections, the Van Hove formalism, magnetic scattering, elastic scattering, the static approximation, sum rules, small angle scattering, inelastic scattering, thermal diffuse scattering, quasielastic scattering, and neutron optics. 相似文献
We describe briefly the concept of fractal dimension as applied to both mathematical and statistical fractals. We then discuss
the scattering of radiation from fractals and describe the results of small angle neutron scattering studies of the aggregation
of small particles in fractal clusters. 相似文献
A series of 19 ionic liquids (ILs) based on phosphonium and imidazolium cations of varying alkyl-chain lengths with the orthoborate anions bis(oxalato)borate [BOB]−, bis(mandelato)borate, [BMB]− and bis(salicylato)borate, [BScB]−, are synthesized and studied using small-angle neutron scattering (SANS). All measured systems display nanostructuring, with 1-methyl-3-n-alkyl imidazolium-orthoborates forming clearly bicontinuous L3 spongelike phases when the alkyl chains are longer than C6 (hexyl). L3 phases are fitted using the Teubner and Strey model, and diffusely-nanostructured systems are primarily fitted using the Ornstein-Zernicke correlation length model. Strongly-nanostructured systems have a strong dependence on the cation, with molecular architecture variation explored to determine the driving forces for self-assembly. The ability to form well-defined complex phases is effectively extinguished in several ways: methylation of the most acidic imidazolium ring proton, replacing the imidazolium 3-methyl group with a longer hydrocarbon chain, substitution of [BOB]− by [BMB]−, or exchanging the imidazolium for phosphonium systems, irrespective of phosphonium architecture. The results suggest there is only a small window of opportunity, in terms of molecular amphiphilicity and cation:anion volume matching, for the formation of stable extensive bicontinuous domains in pure bulk orthoborate-based ILs. Particularly important for self-assembly processes appear to be the ability to form H-bonding networks, which offer additional versatility in imidazolium systems. 相似文献
A biskyrmion consists of two bound, topologically stable, skyrmion spin textures. These coffee‐bean‐shaped objects are observed in real space in thin plates using Lorentz transmission electron microscopy (LTEM). From LTEM imaging alone, it is not clear whether biskyrmions are surface‐confined objects, or, analogous to skyrmions in noncentrosymmetric helimagnets, 3D tube‐like structures in a bulk sample. Here, the biskyrmion form factor is investigated in single‐ and polycrystalline‐MnNiGa samples using small‐angle neutron scattering. It is found that biskyrmions are not long‐range ordered, not even in single crystals. Surprisingly all of the disordered biskyrmions have their in‐plane symmetry axis aligned along certain directions, governed by the magnetocrystalline anisotropy. This anisotropic nature of biskyrmions may be further exploited to encode information. 相似文献
The perfect crystal interferometer instrument S18 at the Institute Laue-Langevin (ILL) in Grenoble has been upgraded to allow more advanced neutron optics experiments for fundamental, nuclear and condensed matter physics. The new supermirror guide together with the multipurpose monochromator provides considerably higher intensities in a wide wavelength region. The optimal use of neutrons is obtained by a nondispersive arrangement of the monochromator and the interferometer crystals. This also allows to obtain completely polarised beams using permanent magnetic prism deflection. An additional third analyzer axis permits novel postselection experiments concerning momentum distribution and polarisation analysis of the interfering beams. Several types of large perfect crystal interferometers are available for different applications. The system can be configured as an advanced high-resolution Bonse–Hart small angle scattering camera. The results of various test measurements concerning intensities, interference contrast, long-term stability, the accessible wavelength range and the basic features as a SANS camera will be presented. Various proposals for experiments will be discussed as well. 相似文献
We report on the construction of an apparatus to allow neutron scattering measurements on fluids undergoing shear. The apparatus has been used with the cold neutron small-angle-neutron-scattering (SANS) spectrometer at the NIST research reactor and will be made available to users as a permanent part of the NIST facility. 相似文献
The design and construction of an apparatus for studying the simultaneous small angle neutron scattering (SANS) and steady shear viscosity behavior of polymer melts and concentrated solutions is discussed. Successful operation of the device is demonstrated on a blend of 20 weight percent deuterated polystyrene and 80 weight percent poly(vinylmethylether). The effects of shear on the critical behavior of the blend are observed in the SANS behavior as a function of temperature and shear rate and indicate shear induced mixing behavior for the range of shear rates examined. The steady shear viscosity results alone are insufficient for detecting the transition from one to two phases. The examination of shear effects in polymer blends is important for understanding the critical behavior of binary systems. Technologically, knowledge of the phase behavior of polymer blends under shear are important for the design and improvement of commercial blend processing. 相似文献
During the last decade neutron imaging has seen significant improvements in instrumentation, detection and spatial resolution. Additionally, a variety of new applications and methods have been explored. As a consequence of an outstanding development nowadays various techniques of neutron imaging go far beyond a two- and three-dimensional mapping of the attenuation coefficients for a broad range of samples. Neutron imaging has become sensitive to neutron scattering in the small angle scattering range as well as with respect to Bragg scattering. Corresponding methods potentially provide spatially resolved and volumetric data revealing microstructural inhomogeneities, texture variations, crystalline phase distributions and even strains in bulk samples. Other techniques allow for the detection of refractive index distribution through phase sensitive measurements and the utilization of polarized neutrons enables radiographic and tomographic investigations of magnetic fields and properties as well as electrical currents within massive samples. All these advanced methods utilize or depend on wavelength dependent signals, and are hence suited to profit significantly from pulsed neutron sources as will be discussed. 相似文献
Abstract Poly(styrene) stars (PS)6C60, twin‐cores (PS)6C60‐[Si‐(CH3)2]‐C60(PS)6 and hybrids (PS)6C60(PTBMA)6 with paired arms of PS + poly(tertbutylmethacrylate) have been studied in toluene (20°C, concentration C = 1–6 wt.%) by small‐angle neutron scattering (SANS) at momentum transfer q = 0.001–5 nm?1. The C60 stabilize arms' stretched conformation and intensify stars' ordering. While the (PS)6C60 and hybrids formed tiny clusters (particles' number N ~ 10–80, size RC ~ 50–100 nm), the dimers created massive structures (N ~ 1 · 103–2 · 103, RC ~ 300 nm) that can be induced by dipolar interaction of C60 twin‐cores. 相似文献
Small angle neutron scattering (SANS) has been widely used in investigating defects in metals, and in particular, to characterize
the helium bubble population in implanted materials. The main advantage in using SANS is the non-destructive feature of the
tests and the quantitative results obtained by averaging over a large sample volume. SANS is a powerful technique, very sensitive
to microstructural changes and its use was of fundamental importance to show the bimodal distribution of the bubble population:
in the vicinity of grain boundaries and free surface and inside grains, respectively. Here the most important applications
of the SANS technique to the study of the helium bubbles in implanted materials are reviewed. Most of the work has been done
on nickel samples, but also a ternary alloy Fe-Ni 15%wt-Cr 15%wt and a steel (MANET) with a more complicated structure have
been successfully investigated. Different annealing treatments, isothermal and isochronal, were investigated in order to determine
the active mechanisms of the bubble coarsening and their activation energies. From the SANS data the bubble size distributions
have been determined, from which parameters such as mean radius and density of the bubble population have been calculated.
The gas pressure inside the bubbles was also determined by the contrast variation technique in SANS and by a computational
procedure, and an excellent agreement was found between the results. These results show a marked overpressure inside the bubbles
as compared to thermodynamical equilibrium values of about 3 GPa. A comparison with results obtained by other techniques confirms
the validity of SANS, which has to be considered as a complementary technique for its indirect image of the sample. 相似文献
Herein, we fabricate hollow silica nanoparticles with exceptionally narrow size distributions that inherently possess two distinct length scales—tens of nanometers with regards to the shell thickness, and hundreds of nanometers in regards to the total diameter. We characterize these structures using dynamic and static light scattering (DLS and SLS), small angle X-ray scattering (SAXS), and transmission electron microscopy (TEM), and we demonstrate quantitative agreement among all methods. The ratio between the radius of gyration (SLS) and hydrodynamic radius (DLS) in these particles equals almost unity, corresponding to ideal capsule behavior. We are able to resolve up to 20 diffraction orders of the hollow sphere form factor in SAXS, indicating a narrow size distribution. Data from light and X-ray scattering can be combined to a master curve covering a q-range of four orders of magnitude assessing all hierarchical length scales of the form factor. The measured SLS intensity profiles noticeably change when the scattering contrast between the interior and exterior is altered, whereas the SAXS intensity profiles do not show any significant change. Tight control of the aforementioned length scales in one simple and robust colloidal building block renders these particles suitable as future calibration standards.
The complexes formed in aqueous mixture suspensions of the synthetic clay mineral Laponite and cetyltrimethylammonium bromide (CTAB) have been investigated by small-angle neutron scattering (SANS). All suspensions were prepared with a constant initial concentration of Laponite, but the amount of CTAB was varied. The SANS intensity patterns verify that suspended Laponite in dilute suspension is in the form of disks of diameter 30nm and thickness 1 nm. SANS indicates that this disk morphology, with the same diameter but with a thickness of about 4 nm, is retained for the suspended complexes, even if the CTAB in the aqueous medium is in considerable excess. SANS and chemical analysis show that a complex must adsorb CTAB to an amount corresponding to at least two multiples of the clay's cation exchange capacity to be dispersed. The amount of CTAB adsorbed as a function of CTAB in the precursor solution is discussed. We also report the effect the presence of clay on CTAB micelle formation as a function of CTAB concentration. 相似文献
Deep inelastic neutron scattering experiments provide access to atomic momentum distributions and mean kinetic energies. These quantities are intimately connected to nuclear quantum effects associated to the equilibrium ground state of condensed systems. The method to derive the single particle mean kinetic energy, directly employing the sum rules associated to the scattering functions, from a set of deep inelastic neutron scattering spectra is discussed. This method does not make use of nonlinear fitting of the scattering spectra. 相似文献