Resonance escape probability from resonance absorption integral¶

Conditions:

The reactor is homogeneous.
There are weak fast absorptions.
The absorber is predominant.

Links:

absorber_number_density¶: number_density of atoms in the absorber.

Symbol:: n
Latex:: \(n\)
Dimension:: 1/volume

effective_resonance_integral¶: Effective resonance integral characterizes the absorption of neutrons by a single nucleus in the resonance region.

Symbol:: J_eff
Latex:: \(J_\text{eff}\)
Dimension:: area

lethargy_gain_per_scattering¶: Average lethargy gain per scattering event. Lethargy is defined as decrease in neutron energy.

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

moderator_macroscopic_scattering_cross_section¶: macroscopic_cross_section of scattering in the moderator.

Symbol:: Sigma_s
Latex:: \(\Sigma_\text{s}\)
Dimension:: 1/length

resonance_escape_probability¶: resonance_escape_probability.

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

law¶

p = exp(-n * J_eff / (xi * Sigma_s))

Latex:: \[p = \exp{\left(- \frac{n J_\text{eff}}{\xi \Sigma_\text{s}} \right)}\]