Geometric buckling from macroscopic cross sections and diffusion coefficient¶
Geometrical buckling is a quantity describing the reactor which depends only on its geometry. It can also be calculated from the macroscopic cross sections and the diffusion coefficient as well as the effective multiplicative factor and the neutron production rate.
Links:
- neutrons_per_fission¶
The average number of neutrons produced per fission. See
particle_count
.
- Symbol:
nu
- Latex:
\(\nu\)
- Dimension:
dimensionless
- effective_multiplication_factor¶
- Symbol:
k_eff
- Latex:
\(k_\text{eff}\)
- 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¶
- Symbol:
D
- Latex:
\(D\)
- Dimension:
length
- geometric_buckling¶
- Symbol:
B_g^2
- Latex:
\(B_\text{g}^2\)
- Dimension:
1/area
- law¶
B_g^2 = (nu / k_eff * Sigma_f - Sigma_a) / D
- Latex:
- \[B_\text{g}^2 = \frac{\frac{\nu}{k_\text{eff}} \Sigma_\text{f} - \Sigma_\text{a}}{D}\]