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Division Spotlight
Isotopes & Radiation
Members are devoted to applying nuclear science and engineering technologies involving isotopes, radiation applications, and associated equipment in scientific research, development, and industrial processes. Their interests lie primarily in education, industrial uses, biology, medicine, and health physics. Division committees include Analytical Applications of Isotopes and Radiation, Biology and Medicine, Radiation Applications, Radiation Sources and Detection, and Thermal Power Sources.
Meeting Spotlight
2023 ANS Annual Meeting
June 11–14, 2023
Indianapolis, IN|Marriott Indianapolis Downtown
Standards Program
The Standards Committee is responsible for the development and maintenance of voluntary consensus standards that address the design, analysis, and operation of components, systems, and facilities related to the application of nuclear science and technology. Find out What’s New, check out the Standards Store, or Get Involved today!
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Latest News
Destruction of Ukrainian dam threatens Zaporizhzhia
A Soviet-era dam downstream from the Zaporizhzhia nuclear power plant in southeastern Ukraine collapsed last evening, causing the water level of the Kakhovka Reservoir north of the dam to drop and raising new concerns over the already jeopardized safety of the Russian-occupied nuclear facility, Europe’s largest. The reservoir supplies water for, among other things, Zaporizhzhia’s cooling systems.
Kirill Fedorovich Raskach
Nuclear Science and Engineering | Volume 165 | Number 3 | July 2010 | Pages 320-330
Technical Paper | doi.org/10.13182/NSE09-47
Articles are hosted by Taylor and Francis Online.
The differential operator method is an effective Monte Carlo technique developed for calculating derivatives and perturbations. It has often been applied to eigenvalue problems. This paper extends applicability of the method to inhomogeneous problems with internal and external neutron sources. Two issues associated with these problems were considered. First of all, it was necessary to use a special technique that treats inhomogeneous problems within the framework of the neutron generation method with a constant number of neutrons per generation. This technique optimizes Monte Carlo calculations and eliminates difficulties that appear in the classical technique as the effective multiplication factor approaches unity. Furthermore, use of the technique facilitated solving the usual issue of the differential operator method associated with fission source, or more exactly total neutron source, perturbations because some modification of the approach recently proposed for eigenvalue problems could be employed. The proposed technique can be used for calculating derivatives of reaction rates with respect to neutron cross sections or material densities. Perturbations of external source and geometrical parameters were outside the scope of this work.