ANS is committed to advancing, fostering, and promoting the development and application of nuclear sciences and technologies to benefit society.
Explore the many uses for nuclear science and its impact on energy, the environment, healthcare, food, and more.
Explore membership for yourself or for your organization.
Conference Spotlight
Nuclear Energy Conference & Expo (NECX)
September 8–11, 2025
Atlanta, GA|Atlanta Marriott Marquis
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!
Latest Magazine Issues
Aug 2025
Jan 2025
Latest Journal Issues
Nuclear Science and Engineering
September 2025
Nuclear Technology
August 2025
Fusion Science and Technology
Latest News
General Matter to build Kentucky enrichment plant under DOE lease
The Department of Energy’s Office of Environmental Management announced it has signed a lease with General Matter for the reuse of a 100-acre parcel of federal land at the former Paducah Gaseous Diffusion Plant in Kentucky for a new private-sector domestic uranium enrichment facility.
J. Ernest Wilkins, Jr. Keshav N. Srivastava
Nuclear Science and Engineering | Volume 82 | Number 3 | December 1982 | Pages 307-315
Technical Paper | doi.org/10.13182/NSE82-A19391
Articles are hosted by Taylor and Francis Online.
We prove a mathematically rigorous theorem that asserts, under certain carefully stated hypotheses, the validity of the Goertzel and Otsuka conclusions that, in a thermal nuclear reactor that has a minimum critical mass, the fuel must be distributed so that the product of the thermal neutron flux and the adjoint thermal neutron flux is a constant in the core and does not exceed that constant in the reflector. We also furnish some examples that illustrate the necessity of imposing some mathematical hypotheses to obtain the desired conclusions.