91-Pa-232

Reaction 0.0253-eV Maxwellian
Average
g-factor Resonance
Integral
14-MeV Fiss. Spec.
Average
total 2.100 (kb) 2.142 (kb) 1.020 5.868 (b) 7.651 (b)
elastic 23.91 (b) 26.37 (b) 1.103 2.808 (b) 4.350 (b)
inelastic ( E-thr = 60.26 keV ) 316.1 (mb) 2.250 (b)
(n,2n) ( E-thr = 5.573 MeV ) 1.016 (b) 20.77 (mb)
(n,3n) ( E-thr = 12.42 MeV ) 12.03 (mb) 6.177 (μb)
fission 1.487 (kb) 1.536 (kb) 1.032 931.1 (b) 1.714 (b) 972.5 (mb)
(n,fission) 1.487 (kb) 1.536 (kb) 1.032 930.9 (b) 641.0 (mb) 964.1 (mb)
(n,n,fiss) ( E-thr = 3.000 MeV ) 673.1 (mb) 8.366 (mb)
(n,2n,fiss) ( E-thr = 7.500 MeV ) 400.8 (mb) 55.63 (μb)
(n,4n) ( E-thr = 18.24 MeV ) 131.9e-12 (b)
(n,3nfiss) ( E-thr = 16.00 MeV ) 174.5e-12 (b)
capture 589.0 (b) 580.3 (b) 0.985 165.4 (b) 1.021 (mb) 55.27 (mb)
 
νp 2.086 4.000
νd 1.577e-2 1.189e-2

These cross sections are calculated from JENDL-4.0 at 300K.
The background color of each cell noted a cross section means the order of the cross-section value.
The unit of cross section, (b), means barns, and SI prefixes are used as following.
(kb) → 103(b),   (mb) → 10−3(b),  (μb) → 10−6(b),  (nb) → 10−9(b).

Maxwellian Average :
σmacs(T) =
2
 
 
π
EU
 
EL
σ(E,T) ⋅ E ⋅ exp (
E
  
kBT
) dE
 
EU
 
EL
E ⋅ exp (
E
  
kBT
) dE
,
where T denotes the temperature, and kB the Boltzmann constant. The upper and lower limits of integration, EL and EU are set to 10−5 eV and 10 eV, respectively.
Resonance Integral :
σri(T) =
EU
 
EL
σ(E,T) ⋅
1
 
E
dE ,
with  EL = 0.5 eV  and  EU = 10 MeV.
U-235 Thermal Fission-Neutron Spectrum Average (Fiss. Spec. Average) :
σfacs(T) =
EU
 
EL
σ(E,T) ⋅
 
4
 
πa3b
⋅ exp (
ab E
     
4 a
) ⋅ sinh
 
bE
dE
 
EU
 
EL
 
4
 
πa3b
⋅ exp (
ab E
     
4 a
) ⋅ sinh
 
bE
dE
,
with  EL = 10−5 eV  and  EU = 20 MeV. The parameters a and b are 0.988 MeV and 2.249 MeV−1, respectively.
Westcott g-factor :
g(T) =
σmacs(T)
 
σ(0.0253 eV,T)
 .


νp, νd : numbers of prompt and delayed neutrons per fission.