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
2025 ANS Winter Conference & Expo
November 8–12, 2025
Washington, DC|Washington Hilton
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
Oct 2025
Jul 2025
Latest Journal Issues
Nuclear Science and Engineering
December 2025
Nuclear Technology
November 2025
Fusion Science and Technology
Latest News
Illinois legislature lifts ban on nuclear energy, funds clean energy
The Illinois General Assembly passed a clean energy bill on October 30 that would, in part, lift a 30-year moratorium on new nuclear energy in the state and create incentives for more energy storage.
Martin Becker
Nuclear Science and Engineering | Volume 31 | Number 3 | March 1968 | Pages 458-464
Technical Paper | doi.org/10.13182/NSE68-A17588
Articles are hosted by Taylor and Francis Online.
The most general current formulations of the point reactor kinetics equations permit the flux shape function to be time dependent. This permissibility has led to the development of a class of space-time analyses referred to as adiabatic or quasistatic. The use of time-independent importance weighting, however, can lead to difficulties, as is shown in an example. In this paper, point kinetics equations are derived from a variational principle in such a way as to permit time-dependent importance shape functions. “Extra” terms due to the explicit time dependence of the shape functions appear, and normalization conditions are obtained by which these terms can be eliminated. Additional differences from conventional form appear if one chooses to use different importance shape functions for flux and precursor equations, but these differences can be neglected for many cases of practical interest.