Reproduction factor from macroscopic cross sections in fuel

Reproduction factor can be found using the macroscopic fissure and absorption cross sections in the fuel and the average number of neutrons produced per fission.

Links:

  1. Wikipedia, first row in table.

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 in the fuel.

Symbol:

Sigma_ff

Latex:

\(\Sigma_\text{f}^\text{f}\)

Dimension:

1/length

macroscopic_absorption_cross_section

macroscopic_cross_section of absorption in the fuel.

Symbol:

Sigma_af

Latex:

\(\Sigma_\text{a}^\text{f}\)

Dimension:

1/length

reproduction_factor

Neutron reproduction_factor.

Symbol:

eta

Latex:

\(\eta\)

Dimension:

dimensionless

law

eta = nu * Sigma_ff / Sigma_af

Latex:
\[\eta = \frac{\nu \Sigma_\text{f}^\text{f}}{\Sigma_\text{a}^\text{f}}\]