23-V-0

Reaction 0.0253-eV Maxwellian
Average
g-factor Resonance
Integral
14-MeV Fiss. Spec.
Average
total 9.993 (b) 10.64 (b) 1.064 2.403 (b) 3.928 (b)
elastic 4.975 (b) 5.616 (b) 1.129 1.115 (b) 3.229 (b)
inelastic ( E-thr = 105.0 keV ) 558.6 (mb) 696.3 (mb)
(n,2n) ( E-thr = 9.524 MeV ) 566.0 (mb) 100.4 (μb)
(n,na) ( E-thr = 10.09 MeV ) 554.8 (nb) 38.76 (nb)
(n,np) ( E-thr = 8.112 MeV ) 111.5 (mb) 74.63 (μb)
(n,nd) ( E-thr = 14.15 MeV ) 24.55e-12 (b)
(n,n He-3) ( E-thr = 16.42 MeV ) 1.321e-12 (b)
capture 5.018 (b) 5.021 (b) 1.000 2.703 (b) 760.8 (μb) 2.495 (mb)
(n,p) 1.776 (μb) 1.777 (μb) 1.001 7.448 (mb) 29.18 (mb) 519.4 (μb)
(n,d) ( E-thr = 5.843 MeV ) 4.751 (mb) 1.512 (μb)
(n,t) ( E-thr = 7.766 MeV ) 108.9 (μb) 19.84 (nb)
(n,He-3) ( E-thr = 11.82 MeV ) 13.09e-12 (b) 2.442e-12 (b)
(n,a) 0.000 (b) 0.000 (b) 666.6 (μb) 15.65 (mb) 24.68 (μb)
(n,2p) ( E-thr = 9.361 MeV ) 10.82 (nb) 6.827e-12 (b)
(n,pa) ( E-thr = 7.885 MeV ) 4.755 (nb) 14.32e-12 (b)

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)
 .