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In physics, a 'neutron interferometer' is an interferometer capable of diffracting neutrons, allowing the wave-like nature of neutrons, and other related phenomena, to be explored.
Interferometry inherently depends on the wave nature of the object. As pointed out by de Broglie in his PhD-thesis, particles, including neutrons, can behave like waves (the so called wave-particle duality, now explained in the general framework of quantum mechanics). The wave functions of the individual interferometer paths are created and recombined coherently which needs the application of dynamical theory of diffraction. 'Neutron interferometers' are the counterpart of X-ray interferometers and are used to study quantities or benefits related to thermal neutron radiation.
'Neutron interferometers' are used to determine minute quantum-mechanical effects to the neutron wave, such as studies of the

★ Aharonov-Bohm effect

★ gravity acting on an elementary particle, the neutron

★ rotation of the earth acting on a quantum system
they can be applied for

★ neutron phase imaging

★ tests of the dynamical theory of diffraction
Like X-ray interferometers, 'neutron interferometers' are typically carved from a single large crystal of silicon, often 10 to 30 or more centimeters in diameter and 20 to 60 or more in length. Modern semiconductor technology allows large single-crystal silicon boules to be easily grown. Since the boule is a single crystal, the atoms in the boule are precisely aligned, to within small fractions of a nanometer or an angstrom, over the entire boule. The interferometer is created by carving away all but three slices of silicon, held in perfect alignment by a base. Neutrons impinge on the first slice, where, by diffraction from the crystalline lattice, they separate into two beams. At the second slice, they are diffracted again, with two beams continuing on to the third slice. At the third slice, the beams recombine, interfering constructively or destructively, completing the interferometer. Without the precise, angstrom-level alignment of the three slices, the interference results would not be meaningful.
Only recently, a neutron interferometer for cold and ultracold neutrons was
designed and successfully run. As neutron optical components in this case three artificial holographically produced, i.e., by means of a light optic two wave interference setup illuminating a photo-neutronrefractive polymer, gratings are employed.

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References

References

V. F. Sears, ''Neutron Optics'', Oxford University Press (1998).
H. Rauch and S. A. Werner, ''Neutron Interferometry'', Clarendon Press, Oxford (2000).