There are three different types of scattering interactions that allow for the probing of a variety of properties using neutrons: nuclear scattering (coherent scattering), spin-dependent nuclear scattering (incoherent scattering), and magnetic dipole interactions between the neutron and dipolar field of unpaired electrons. In most cases, coherent scattering and incoherent scattering are used to investigate molecular properties.
With these scattering interactions, it is possible to probe diffusive motions in liquid water such as translational and rotational motions since the energies associated with this action are on the order of about 1 meV. Neutron spectroscopy can also be used to probe inter and intramolecular vibrational modes as the energies associated with such transfers are around 400-500 meV which is still within the range of energies possible for this method.8
The first type of interaction is nuclear scattering occurs when neutrons interact with nuclei through the very short range nuclear force. The wavelength, λ, is on the order of a few angstroms (Å). Because a thermal neutron cannot “see” the internal structure of a nucleus, the scattering is considered to be isotropic. This interaction is thus characterized by a scattering length of b, which is on the same order of the size of a nucleus (10−15 m). Therefore, nuclear scattering allows for the probing of density correlations of nucleons in the nucleus.910
The second type of interaction is spin-dependent nuclear scattering, which is when the neutron and nucleus interaction depends on the total spin (spin of the neutron, ½, and spin of the nucleus, I) formed during the scattering event. The two possible states thus become I + ½ and I – ½. This spin dependence thus results in incoherent scattering, which allows for the probing of single-particle motion as well as the study of the ordering of nuclear spins at ultra-low temperatures.1112
The third type of interaction is between the magnetic dipole moment of the neutron and the dipolar field from unpaired electrons. This allows the total spin of the unpaired electrons and neutron to be probed. The magnetic scattering length from one electron is bm = 𝛾r0 = 1.348 fm which is on the same order of magnitude as the nuclear scattering length. Because of the dipole-dipole character of the interaction, the scattering is considered to be anisotropic.13
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