Material buckling from material cross sections and diffusion coefficient

Material buckling can be calculated from material fission and absorption cross sections as well as diffusion coefficient and average number of neutrons produced per fission.

Links:

  1. Wikipedia, last formula in paragraph.

neutrons_per_fission

The 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

diffusion_coefficient

neutron_diffusion_coefficient.

Symbol:

D

Latex:

\(D\)

Dimension:

length

material_buckling

material_buckling.

Symbol:

B_m^2

Latex:

\(B_\text{m}^2\)

Dimension:

1/area

law

B_m^2 = (nu * Sigma_f - Sigma_a) / D

Latex:
\[B_\text{m}^2 = \frac{\nu \Sigma_\text{f} - \Sigma_\text{a}}{D}\]