97-Bk-246

Reaction 0.0253-eV Maxwellian
Average
g-factor Resonance
Integral
14-MeV Fiss. Spec.
Average
total 2.512 (kb) 2.520 (kb) 1.003 5.957 (b) 8.282 (b)
elastic 10.22 (b) 11.54 (b) 1.129 2.793 (b) 4.475 (b)
inelastic ( E-thr = 48.20 keV ) 354.7 (mb) 1.933 (b)
(n,2n) ( E-thr = 5.943 MeV ) 302.2 (mb) 5.340 (mb)
(n,3n) ( E-thr = 12.94 MeV ) 488.9 (μb) 385.1 (nb)
fission 1.801 (kb) 1.807 (kb) 1.003 835.8 (b) 2.508 (b) 1.749 (b)
(n,fission) 1.801 (kb) 1.807 (kb) 1.003 835.7 (b) 2.132 (b) 1.747 (b)
(n,n,fiss) ( E-thr = 2.700 MeV ) 338.8 (mb) 1.900 (mb)
(n,2n,fiss) ( E-thr = 8.500 MeV ) 32.18 (mb) 4.741 (μb)
(n,4n) ( E-thr = 19.01 MeV ) 11.54e-15 (b)
(n,3nfiss) ( E-thr = 15.50 MeV ) 13.10e-12 (b)
capture 700.2 (b) 699.5 (b) 0.999 311.9 (b) 919.0 (μb) 116.5 (mb)
 
νp 3.668 6.412
νd 2.978e-3 2.052e-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.