Fast fission factor from resonance escape probability

The fast fission factor is the ratio of the fast neutrons produced by fissions at all energies to the number of fast neutrons produced in thermal fission. Unfortunately proper fast fission factor formula is too complex for actual use. Approximate formula is not very useful since there is no actual data on \(P_\text{FAF}\), \(P_\text{TAF}\), and \(u_\text{f}\) values.

Links:

  1. Wikipedia, fourth row in table.

fast_fission_factor

fast_fission_factor.

Symbol:

epsilon

Latex:

\(\varepsilon\)

Dimension:

dimensionless

resonance_escape_probability

resonance_escape_probability.

Symbol:

p

Latex:

\(p\)

Dimension:

dimensionless

thermal_utilization_factor

thermal_utilization_factor.

Symbol:

f

Latex:

\(f\)

Dimension:

dimensionless

fast_utilization

fast_utilization.

Symbol:

u_f

Latex:

\(u_\text{f}\)

Dimension:

dimensionless

fast_neutrons_per_fission

Number of fast neutrons produced per fission. See particle_count.

Symbol:

nu_f

Latex:

\(\nu_\text{f}\)

Dimension:

dimensionless

thermal_neutrons_per_fission

Number of thermal neutrons produced per fission. See particle_count.

Symbol:

nu_t

Latex:

\(\nu_\text{t}\)

Dimension:

dimensionless

fast_absorption_fission_probability

fast_absorption_fission_probability.

Symbol:

P_FAF

Latex:

\(P_\text{FAF}\)

Dimension:

dimensionless

thermal_absorption_fission_probability

thermal_absorption_fission_probability.

Symbol:

P_TAF

Latex:

\(P_\text{TAF}\)

Dimension:

dimensionless

thermal_non_leakage_probability

thermal_non_leakage_probability.

Symbol:

P_TNL

Latex:

\(P_\text{TNL}\)

Dimension:

dimensionless

law

epsilon = 1 + (1 - p) / p * P_FAF * u_f * nu_f / (P_TNL * P_TAF * f * nu_t)

Latex:
\[\varepsilon = 1 + \frac{1 - p}{p} \frac{P_\text{FAF} u_\text{f} \nu_\text{f}}{P_\text{TNL} P_\text{TAF} f \nu_\text{t}}\]