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Elementary school resources added to Navigating Nuclear
Elementary school lesson plans are the latest additions to the Navigating Nuclear: Energizing Our World website. The two lesson plans were created to help students in grades 3-5 understand the power of the atom and how to investigate different energy sources.
Navigating Nuclear is a K-12 nuclear science and energy curriculum created in partnership by the American Nuclear Society and Discovery Education, with lead funding from the Department of Energy's Office of Nuclear Energy.
Nuclear Science and Engineering | Volume 183 | Number 3 | July 2016 | Pages 407-420
Technical Paper | dx.doi.org/10.13182/NSE15-86
Articles are hosted by Taylor and Francis Online.
The neutron escape probability from a rectangular cell is investigated for the collision probability method. Since the numerical calculation of the escape probability requires multiple integrations, resulting in a long computing time, semianalytical approximation of the multiple integrations is proposed to reduce the computing time. By approximating the result of integration in the z-direction by a polynomial expression divided into ranges, it is possible to perform the integrations in the x- and y-directions analytically. The computing time of the present semianalytical approximation is reduced by one to two orders of magnitude compared with that required for the conventional numerical integration. Moreover, a lookup escape probability table for rectangular cells calculated using the semianalytical approximation enables the calculation of the escape probability for an arbitrary rectangle with a much shorter computing time and practical precision (<0.1% error). In addition, a method of applying the semianalytical approximation and a lookup table to the collision probability calculation for an x-y geometry is discussed.