Editing Neutron diffraction (section)

==Nuclear scattering==
Like all [[quantum]] [[elementary particle|particles]], neutrons can exhibit wave phenomena typically associated with light or sound. [[Diffraction]] is one of these phenomena; it occurs when waves encounter obstacles whose size is comparable with the [[wavelength]]. If the wavelength of a quantum particle is short enough, atoms or their nuclei can serve as diffraction obstacles. When a beam of neutrons emanating from a reactor is slowed and selected properly by their speed, their wavelength lies near one [[angstrom]] (0.1 [[nanometer]]), the typical separation between atoms in a solid material. Such a beam can then be used to perform a diffraction experiment. Impinging on a crystalline sample, it will scatter under a limited number of well-defined angles, according to the same [[Bragg law|Bragg's law]] that describes X-ray diffraction.

Neutrons and X-rays interact with matter differently. X-rays interact primarily with the [[electron]] cloud surrounding each atom. The contribution to the diffracted x-ray intensity is therefore larger for atoms with larger [[Z (Atomic number)|atomic number (Z)]]. On the other hand, neutrons interact directly with the ''nucleus'' of the atom, and the contribution to the diffracted intensity depends on each [[isotope]]; for example, regular hydrogen and deuterium contribute differently. It is also often the case that light (low Z) atoms contribute strongly to the diffracted intensity, even in the presence of large Z atoms. The scattering length varies from isotope to isotope rather than linearly with the atomic number. An element like [[vanadium]] strongly scatters X-rays, but its nuclei hardly scatters neutrons, which is why it is often used as a container material. Non-magnetic neutron diffraction is directly sensitive to the positions of the nuclei of the atoms.

The nuclei of atoms, from which neutrons scatter, are tiny. Furthermore, there is no need for an [[atomic form factor]] to describe the shape of the electron cloud of the atom and the scattering power of an atom does not fall off with the scattering angle as it does for X-rays. [[Diffractogram]]s therefore can show strong, well-defined diffraction peaks even at high angles, particularly if the experiment is done at low temperatures. Many neutron sources are equipped with liquid helium cooling systems that allow data collection at temperatures down to 4.2 K. The superb high angle (i.e. high ''resolution'') information means that the atomic positions in the structure can be determined with high precision. On the other hand, [[Fourier map]]s (and to a lesser extent [[difference Fourier map]]s) derived from neutron data suffer from series termination errors, sometimes so much that the results are meaningless.