Relation between the Vibration Frequencies of a Crystal and the Scattering of Slow Neutrons
- 15 July 1956
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 103 (2), 304-312
- https://doi.org/10.1103/physrev.103.304
Abstract
Detailed calculations of the scattering of slow neutrons by crystals have so far been made on the basis of the Debye approximation for the vibration frequencies of the crystal. In the present work, a somewhat more realistic set of frequencies has been calculated for the case of aluminum. The results have been used to calculate the angular and energy distribution of neutrons coherently scattered in a one-phonon process. Comparison is made with the results given by the Debye approximation.Keywords
This publication has 10 references indexed in Scilit:
- Scattering of Neutrons by Phonons in an Aluminum Single CrystalPhysical Review B, 1955
- Dynamics of Simple LatticesPhysical Review B, 1955
- Interference effects in the total neutron scattering cross-section of crystalsIl Nuovo Cimento (1869-1876), 1955
- Incoherent Neutron Scattering by PolycrystalsPhysical Review B, 1954
- On the diffuse reflexion of neutrons by a single crystalProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1954
- Lattice Dynamics of Body-Centered and Face-Centered Cubic Metallic ElementsThe Journal of Chemical Physics, 1953
- The Variation of the Elastic Constants of Crystalline Aluminum with Temperature between 63°K and 773°KPhysical Review B, 1953
- The Occurrence of Singularities in the Elastic Frequency Distribution of a CrystalPhysical Review B, 1953
- The Variation of the Adiabatic Elastic Constants of KCl, NaCl, CuZn, Cu, and Al with Pressure to 10,000 BarsPhysical Review B, 1949
- The effect of temperature on the intensity of X-ray reflexionProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1947