NEUTRON DIFFRACTION STUDY OF THE STRUCTURE OF GLASSES. PART I. ELASTIC AND INELASTIC SLOW NEUTRON SCATTERING BY THE EINSTEIN MODEL. Final Technical Report for November 1, 1952 through October 31, 1958
The effect of binding on atoms in a crystal lattice is considered in relation to the determination of neutron cross sections. The energies involved are usually insufficient to excite the nucleus itself to higher energy levels, in which case the nucleus could be treated as a single particle for thermal neutrons. The calculations of Finkelstein (Phys. Hev. 72, 907(1947)) are extended, and it is shown that the Einstein model has a greater range of applicability to neutron scattering than previously thought. All possible transitions are summed, thus allowing application of any Einstein medel and any substance temperature. It was concludod that computations using Einstein cross sections may be made for high sample temperatures and high neutron energies which can be expected to be in good agreement with observation, while the same calculation can be made only with great difficulty using Debye cross sections. (J.R.D.)
- Research Organization:
- Saint Louis Univ.
- DOE Contract Number:
- DA-23-072-ORD-473; DA-23-072-ORD-593
- NSA Number:
- NSA-13-005676
- OSTI ID:
- 4273203
- Report Number(s):
- NP-7188
- Resource Relation:
- Other Information: Orig. Receipt Date: 31-DEC-59
- Country of Publication:
- United States
- Language:
- English
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