Abstract
An additive formula is given that permits the calculation of the nuclear capture, thermal diffuse and Bragg scattering cross-sections as a function of sapphire temperature and crystal parameters. We have developed a computer program that allows calculations of the thermal neutron transmission for the sapphire rhombohedral structure and its equivalent trigonal structure. The calculated total cross-section values and effective attenuation coefficient for single-crystalline sapphire at different temperatures are compared with measured values. Overall agreement is indicated between the formula and experimental data. We discuss the use of sapphire single crystal as a thermal neutron filter in terms of the optimum cystal thickness, mosaic spread, temperature, cutting plane and tuning for efficient transmission of thermal-reactor neutrons.
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Adib, M., Kilany, M., Habib, N. et al. Neutron Transmission of Single-crystal Sapphire Filters. Czech J Phys 55, 563–578 (2005). https://doi.org/10.1007/s10582-005-0061-7
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DOI: https://doi.org/10.1007/s10582-005-0061-7