91-Pa-230

Reaction 0.0253-eV Maxwellian
Average
g-factor Resonance
Integral
14-MeV Fiss. Spec.
Average
total 1.893 (kb) 1.928 (kb) 1.019 5.853 (b) 7.604 (b)
elastic 12.03 (b) 13.60 (b) 1.131 2.799 (b) 4.277 (b)
inelastic ( E-thr = 60.26 keV ) 328.6 (mb) 1.381 (b)
(n,2n) ( E-thr = 5.820 MeV ) 617.1 (mb) 6.521 (mb)
(n,3n) ( E-thr = 12.95 MeV ) 628.6 (μb) 1.420 (μb)
fission 1.500 (kb) 1.526 (kb) 1.017 934.2 (b) 2.108 (b) 1.812 (b)
(n,fission) 1.500 (kb) 1.526 (kb) 1.017 933.9 (b) 1.247 (b) 1.803 (b)
(n,n,fiss) ( E-thr = 3.000 MeV ) 663.1 (mb) 8.580 (mb)
(n,2n,fiss) ( E-thr = 8.000 MeV ) 196.6 (mb) 27.29 (μb)
(n,4n) ( E-thr = 18.95 MeV ) 1.114e-12 (b)
(n,3nfiss) ( E-thr = 16.50 MeV ) 6.186e-12 (b)
capture 380.1 (b) 386.6 (b) 1.017 235.3 (b) 1.043 (mb) 126.6 (mb)
 
νp 2.272 3.672
νd 7.460e-3 5.150e-3

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.