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2025 ANS Annual Conference
June 15–18, 2025
Chicago, IL|Chicago Marriott Downtown
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Ely M. Gelbard, Raymond P. Hughes
Nuclear Science and Engineering | Volume 70 | Number 3 | June 1979 | Pages 262-273
Technical Paper | doi.org/10.13182/NSE79-A20147
Articles are hosted by Taylor and Francis Online.
In earlier work by Gelbard and Lell, arguments based on perturbation theory were used to obtain relations between mean-square chord lengths and lattice eigenvalues for given bucklings. We show here that first-order perturbation theory does not give the lattice eigenvalue correctly to order B2. When all missing terms in B2 are inserted, the eigenvalue buckling relations remain formally unchanged, but the mean-square chord lengths must be redefined. The original and redefined mean-square chord lengths differ only insofar as events in successive fission generations are correlated. A reexamination of work based on the original relations indicates that earlier numerical results were substantially correct.