58-Ce-142

Reaction 0.0253-eV Maxwellian
Average
g-factor Resonance
Integral
14-MeV Fiss. Spec.
Average
total 3.813 (b) 4.181 (b) 1.097 4.929 (b) 6.213 (b)
elastic 2.852 (b) 3.219 (b) 1.129 2.777 (b) 4.832 (b)
inelastic ( E-thr = 645.8 keV ) 263.1 (mb) 1.367 (b)
(n,2n) ( E-thr = 7.221 MeV ) 1.847 (b) 7.923 (mb)
(n,3n) ( E-thr = 12.69 MeV ) 31.67 (mb) 11.95 (μb)
(n,na) 0.000 (b) 0.000 (b) 10.33 (μb) 1.754 (mb) 782.2 (nb)
(n,np) ( E-thr = 8.952 MeV ) 43.57 (μb) 47.07 (nb)
(n,nd) ( E-thr = 13.45 MeV ) 0.000 (b) 109.4e-12 (b)
capture 961.2 (mb) 961.7 (mb) 1.001 892.0 (mb) 807.3 (μb) 6.067 (mb)
(n,p) ( E-thr = 3.748 MeV ) 4.834 (mb) 1.392 (μb)
(n,d) ( E-thr = 6.712 MeV ) 2.577 (mb) 559.3 (nb)
(n,t) ( E-thr = 7.146 MeV ) 203.8 (μb) 71.40 (nb)
(n,He-3) ( E-thr = 8.185 MeV ) 0.000 (b) 148.4e-15 (b)
(n,a) 0.000 (b) 0.000 (b) 127.9 (μb) 4.719 (mb) 9.501 (μb)
MT = 203 ( E-thr = 3.748 MeV ) 4.878 (mb) 1.439 (μb)
MT = 204 ( E-thr = 6.712 MeV ) 2.577 (mb) 559.4 (nb)
MT = 205 ( E-thr = 7.146 MeV ) 203.8 (μb) 71.40 (nb)
MT = 206 ( E-thr = 8.185 MeV ) 0.000 (b) 148.4e-15 (b)
MT = 207 0.000 (b) 0.000 (b) 138.3 (μb) 6.473 (mb) 10.28 (μb)

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)
 .