72-Hf-178

Reaction 0.0253-eV Maxwellian
Average
g-factor Resonance
Integral
14-MeV Fiss. Spec.
Average
total 88.53 (b) 89.36 (b) 1.009 5.321 (b) 6.860 (b)
elastic 4.474 (b) 5.018 (b) 1.122 2.587 (b) 4.156 (b)
inelastic ( E-thr = 93.71 keV ) 620.4 (mb) 2.628 (b)
(n,2n) ( E-thr = 7.669 MeV ) 2.104 (b) 6.326 (mb)
(n,3n) ( E-thr = 14.09 MeV ) 6.512 (μb)
(n,na) 0.000 (b) 0.000 (b) 383.2e-12 (b) 72.05 (μb) 24.36 (nb)
(n,np) ( E-thr = 7.386 MeV ) 48.98 (μb) 39.11 (nb)
(n,nd) ( E-thr = 12.26 MeV ) 0.000 (b) 39.36e-12 (b)
capture 84.05 (b) 84.35 (b) 1.004 1.915 (kb) 1.746 (mb) 68.44 (mb)
(n,p) ( E-thr = 1.326 MeV ) 6.375 (mb) 2.752 (μb)
(n,d) ( E-thr = 5.149 MeV ) 709.3 (μb) 176.2 (nb)
(n,t) ( E-thr = 5.969 MeV ) 21.97 (μb) 10.66 (nb)
(n,He-3) ( E-thr = 5.843 MeV ) 0.000 (b) 195.8e-15 (b)
(n,a) 0.000 (b) 0.000 (b) 16.08 (μb) 1.315 (mb) 1.017 (μb)
MT = 203 ( E-thr = 1.326 MeV ) 6.424 (mb) 2.792 (μb)
MT = 204 ( E-thr = 5.149 MeV ) 709.3 (μb) 176.3 (nb)
MT = 205 ( E-thr = 5.969 MeV ) 21.97 (μb) 10.66 (nb)
MT = 206 ( E-thr = 5.843 MeV ) 0.000 (b) 195.8e-15 (b)
MT = 207 0.000 (b) 0.000 (b) 16.08 (μb) 1.387 (mb) 1.042 (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)
 .