Infinite multiplication factor from macroscopic cross sections¶

Infinite multiplication factor can be found using the macroscopic fission and absorption cross section and the average number of neutrons produced per fission.

neutrons_per_fission¶: Average number of neutrons produced per fission. See particle_count.

Symbol:: nu
Latex:: \(\nu\)
Dimension:: dimensionless

macroscopic_fission_cross_section¶: macroscopic_cross_section of fission.

Symbol:: Sigma_f
Latex:: \(\Sigma_text{f}\)
Dimension:: 1/length

macroscopic_absorption_cross_section¶: macroscopic_cross_section of absorption.

Symbol:: Sigma_a
Latex:: \(\Sigma_\text{a}\)
Dimension:: 1/length

infinite_multiplication_factor¶: infinite_multiplication_factor.

Symbol:: k_inf
Latex:: \(k_{\infty}\)
Dimension:: dimensionless

law¶

k_inf = nu * Sigma_f / Sigma_a

Latex:: \[k_{\infty} = \frac{\nu \Sigma_text{f}}{\Sigma_\text{a}}\]