91-Pa-233

Reaction 0.0253-eV Maxwellian
Average
g-factor Resonance
Integral
14-MeV Fiss. Spec.
Average
total 53.56 (b) 54.92 (b) 1.025 5.835 (b) 7.683 (b)
elastic 14.14 (b) 15.93 (b) 1.127 2.797 (b) 4.474 (b)
inelastic ( E-thr = 6.700 keV ) 400.8 (mb) 2.713 (b)
(n,2n) ( E-thr = 6.557 MeV ) 1.869 (b) 10.29 (mb)
(n,3n) ( E-thr = 12.13 MeV ) 187.4 (mb) 29.55 (μb)
fission 2.502 (μb) 2.508 (μb) 1.002 977.9 (mb) 579.9 (mb) 244.2 (mb)
(n,fission) 2.502 (μb) 2.508 (μb) 1.002 775.5 (mb) 258.5 (mb) 235.9 (mb)
(n,n,fiss) ( E-thr = 2.500 MeV ) 260.3 (mb) 8.372 (mb)
(n,2n,fiss) ( E-thr = 9.500 MeV ) 61.15 (mb) 13.39 (μb)
(n,4n) ( E-thr = 18.98 MeV ) 743.0e-15 (b)
(n,3nfiss) ( E-thr = 14.50 MeV ) 5.417 (nb)
capture 39.42 (b) 38.99 (b) 0.989 835.3 (b) 1.199 (mb) 239.6 (mb)
 
νp 2.086 4.027
νd 2.301e-2 1.848e-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.