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
Jul 2025
Jan 2025
Latest Journal Issues
Nuclear Science and Engineering
September 2025
Nuclear Technology
August 2025
Fusion Science and Technology
Latest News
The RAIN scale: A good intention that falls short
Radiation protection specialists agree that clear communication of radiation risks remains a vexing challenge that cannot be solved solely by finding new ways to convey technical information.
Earlier this year, an article in Nuclear News described a new radiation risk communication tool, known as the Radiation Index, or, RAIN (“Let it RAIN: A new approach to radiation communication,” NN, Jan. 2025, p. 36). The authors of the article created the RAIN scale to improve radiation risk communication to the general public who are not well-versed in important aspects of radiation exposures, including radiation dose quantities, units, and values; associated health consequences; and the benefits derived from radiation exposures.
M. N. Moore
Nuclear Science and Engineering | Volume 26 | Number 3 | November 1966 | Pages 354-361
Technical Paper | doi.org/10.13182/NSE66-A17356
Articles are hosted by Taylor and Francis Online.
The homogeneous Boltzmann equation for a moderator is specialized for isotropic scattering kernels and probed for wave solutions. There emerges a discrete set of wave numbers corresponding to the frequency ω as well as a continuum. The former constitutes a dispersion law having the same form as that based upon PN multigroup theory, but in general, the parameters are now given explicitly by inverse moments of v∑T averaged over distributions determined by the scattering kernel. The accuracy of these constants does not depend upon assumptions regarding the neutron energy spectrum. The waves near the limit of detectability have wave lengths and attenuation lengths of the order of the maximum mean free path. Such attenuation lengths approach the continuum boundary. The waves near the continuum boundary have phase velocities approaching that particle velocity which minimizes ∑T(v). At frequencies above the minimum collision frequency, no discrete waves definitely propagate, but when the frequency is low enough for a set of discrete waves to be generated, their attenuation is always smaller than that of the accompanying continuum so that an asymptotic region exists in which conventional neutron wave measurements can still be carried out. The criterion for the existence of discrete waves at low frequencies is the same as that for the existence of discrete relaxation lengths in an exponential experiment.