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Neutron scattering, the irregular dispersal of freeneutrons by matter, can refer to either the naturally occurring physical process itself or to the man-made experimental techniques that use the natural process for investigating materials. The natural/physical phenomenon is of elemental importance innuclear engineering and the nuclear sciences. Regarding the experimental technique, understanding and manipulating neutron scattering is fundamental to the applications used incrystallography,physics,physical chemistry,biophysics, andmaterials research.
Neutron scattering is practiced atresearch reactors andspallation neutron sources that provideneutron radiation of varyingintensities.Neutron diffraction (elastic scattering) techniques are used for analyzing structures; whereinelastic neutron scattering is used in studying atomicvibrations and otherexcitations.
"Fast neutrons" (seeneutron temperature) have a kinetic energy above 1 MeV. They can be scattered by condensed matter—nuclei having kinetic energies far below 1 eV—as a valid experimental approximation of anelastic collision with a particle at rest. With each collision, the fast neutron transfers a significant part of its kinetic energy to the scattering nucleus (condensed matter), the more so the lighter the nucleus. And with each collision, the "fast" neutron is slowed until it reaches thermal equilibrium with the material in which it is scattered.
Neutron moderators are used to producethermal neutrons, which have kinetic energies below 1 eV (T < 500K).[1] Thermal neutrons are used to maintain a nuclear chain reaction in anuclear reactor, and as a research tool in neutron scattering experiments and other applications of neutron science (see below). The remainder of this article concentrates on the scattering of thermal neutrons.
Because neutrons are electrically neutral, they penetrate more deeply into matter than electrically charged particles of comparable kinetic energy, and thus are valuable as probes of bulk properties.
Neutrons interact with atomic nuclei and with magnetic fields from unpaired electrons, causing pronouncedinterference andenergy transfer effects in neutron scattering experiments. Unlike anx-rayphoton with a similar wavelength, which interacts with theelectron cloud surrounding thenucleus, neutrons interact primarily with the nucleus itself, as described byFermi's pseudopotential. Neutron scattering and absorptioncross sections vary widely fromisotope to isotope.
Neutron scattering can be incoherent or coherent, also depending on isotope. Among all isotopes, hydrogen has the highest scattering cross section. Important elements like carbon and oxygen are quite visible in neutron scattering—this is in marked contrast toX-ray scattering where cross sections systematically increase with atomic number. Thus neutrons can be used to analyze materials with low atomic numbers, including proteins and surfactants. This can be done at synchrotron sources but very high intensities are needed, which may cause the structures to change. The nucleus provides a very short range, as isotropic potential varies randomly from isotope to isotope, which makes it possible to tune the (scattering) contrast to suit the experiment.
Scattering almost always presents both elastic and inelastic components. The fraction of elastic scattering is determined by theDebye-Waller factor or theMössbauer-Lamb factor. Depending on the research question, most measurements concentrate on either elastic or inelastic scattering.
Achieving a precise velocity, i.e. a precise energy andde Broglie wavelength, of a neutron beam is important. Such single-energy beams are termed 'monochromatic', and monochromaticity is achieved either with a crystal monochromator or with atime of flight (TOF)spectrometer. In the time-of-flight technique, neutrons are sent through a sequence of two rotating slits such that only neutrons of a particular velocity are selected. Spallation sources have been developed that can create a rapid pulse of neutrons. The pulse contains neutrons of many different velocities or de Broglie wavelengths, but separate velocities of the scattered neutrons can be determinedafterwards by measuring the time of flight of the neutrons between the sample and neutron detector.
The neutron has a net electric charge of zero, but has a significantmagnetic moment, although only about 0.1% of that of theelectron. Nevertheless, it is large enough to scatter from local magnetic fields inside condensed matter, providing a weakly interacting and hence penetrating probe of ordered magnetic structures and electron spin fluctuations.[2]
Inelastic neutron scattering is an experimental technique commonly used incondensed matter research to study atomic and molecular motion as well as magnetic and crystal field excitations.[3][4] It distinguishes itself from other neutron scattering techniques by resolving the change in kinetic energy that occurs when the collision between neutrons and the sample is an inelastic one. Results are generally communicated as thedynamic structure factor (also called inelastic scattering law), sometimes also as the dynamic susceptibility where the scattering vector is the difference between incoming and outgoingwave vector, and is the energy change experienced by the sample (negative that of the scattered neutron). When results are plotted as function of, they can often be interpreted in the same way as spectra obtained by conventionalspectroscopic techniques; insofar as inelastic neutron scattering can be seen as a special spectroscopy.
Inelastic scattering experiments normally require amonochromatization of the incident or outgoing beam and an energy analysis of the scattered neutrons. This can be done either through time-of-flight techniques (neutron time-of-flight scattering) or throughBragg reflection from single crystals (neutron triple-axis spectroscopy,neutron backscattering). Monochromatization is not needed in echo techniques (neutron spin echo,neutron resonance spin echo), which use the quantum mechanicalphase of the neutrons in addition to their amplitudes.[citation needed]
The first neutron diffraction experiments were performed in the 1930s.[1] However it was not until around 1945, with the advent of nuclear reactors, that highneutron fluxes became possible, leading to the possibility of in-depth structure investigations. The first neutron-scattering instruments were installed in beam tubes at multi-purpose research reactors. In the 1960s, high-flux reactors were built that were optimized for beam-tube experiments. The development culminated in the high-flux reactor of theInstitut Laue-Langevin (in operation since 1972) that achieved the highest neutron flux to this date. Besides a few high-flux sources, there were some twenty medium-flux reactor sources at universities and other research institutes. Starting in the 1980s, many of these medium-flux sources were shut down, and research concentrated at a few world-leading high-flux sources.
Today, most neutron scattering experiments are performed by research scientists who apply for beamtime at neutron sources through a formal proposal procedure. Because of the low count rates involved in neutron scattering experiments, relatively long periods of beam time (on the order of days) are usually required for usable data sets. Proposals are assessed for feasibility and scientific interest.[5]
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