American Nuclear Society

Home / Store / Journals / Electronic Articles / Nuclear Science and Engineering / Volume 93 / Number 3

Neutron Multiplicity Equation and Its Application for (n, 2n) Multiplication Measurements by Statistical Correlation Techniques

Anil Kumar, Mahadeva Srinivasan

Nuclear Science and Engineering

Volume 93 / Number 3 / July 1986 / Pages 240-247


Member Price:$27.00
Member Savings:$3.00

A new equation, called the neutron multiplicity equation (NME), has been derived starting from basic physics principles. Neutron multiplicity υ is defined as the integral number of neutrons leaking from a neutron multiplying system for a source neutron introduced into it. Probability distribution of neutron multiplicities (PDNMs) gives the probability of leakage of neutrons as a function of their multiplicity v. The PDNM is directly measurable through statistical correlation techniques. In a specific application, the NME has been solved for PDNM as a function of v for 9Be spheres of varying radii and driven by a centrally located 14-MeV deuterium-tritium neutron source. The potential of NME for sensitivity analysis is demonstrated through a particular modification of secondary neutron transfer cross sections of 9Be. It turns out that PDNM is very sensitive, even as the “average” neutron leakage is practically insensitive to it.

Questions or comments about the site? Contact the ANS Webmaster.