23-V-50

Reaction 0.0253-eV Maxwellian
Average
g-factor Resonance
Integral
14-MeV Fiss. Spec.
Average
(n,total) 52.39 (b) 53.40 (b) 1.019 2.366 (b) 3.833 (b)
(n,elastic) 7.699 (b) 8.691 (b) 1.129 1.079 (b) 2.870 (b)
(n,inelastic) ( E-thr = 105.0 keV ) 438.4 (mb) 952.9 (mb)
(n,2n) ( E-thr = 9.524 MeV ) 655.0 (mb) 273.7 (μb)
(n,na) ( E-thr = 10.09 MeV ) 1.283 (μb) 42.25 (nb)
(n,np) ( E-thr = 8.112 MeV ) 70.91 (mb) 22.99 (μb)
(n,nd) ( E-thr = 14.15 MeV ) 2.095 (nb)
(n,n He-3) ( E-thr = 16.42 MeV ) 528.4e-12 (b)
(n,γ) 44.68 (b) 44.71 (b) 1.001 59.29 (b) 935.8 (μb) 1.358 (mb)
(n,p) 710.2 (μb) 710.6 (μb) 1.001 58.02 (mb) 78.69 (mb) 8.682 (mb)
(n,d) ( E-thr = 5.843 MeV ) 6.019 (mb) 2.239 (μb)
(n,t) ( E-thr = 7.766 MeV ) 60.20 (μb) 16.39 (nb)
(n,He-3) ( E-thr = 11.82 MeV ) 54.27e-12 (b) 24.52e-12 (b)
(n,a) 0.000 (b) 0.000 (b) 4.328 (mb) 37.26 (mb) 189.1 (μb)
(n,2p) ( E-thr = 9.361 MeV ) 4.330 (μb) 2.416 (nb)
(n,pa) ( E-thr = 7.885 MeV ) 1.902 (μb) 5.174 (nb)

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)
 .