72-Hf-182

Reaction 0.0253-eV Maxwellian
Average
g-factor Resonance
Integral
14-MeV Fiss. Spec.
Average
total 141.2 (b) 142.4 (b) 1.008 5.372 (b) 6.761 (b)
elastic 8.108 (b) 9.154 (b) 1.129 2.594 (b) 3.855 (b)
inelastic ( E-thr = 98.33 keV ) 560.5 (mb) 2.861 (b)
(n,2n) ( E-thr = 6.755 MeV ) 2.066 (b) 14.57 (mb)
(n,3n) ( E-thr = 12.48 MeV ) 149.9 (mb) 35.97 (μb)
(n,na) 0.000 (b) 0.000 (b) 0.000 (b) 10.32 (μb) 4.703 (nb)
(n,np) ( E-thr = 8.656 MeV ) 1.058 (μb) 4.939 (nb)
(n,nd) ( E-thr = 12.58 MeV ) 0.000 (b) 22.32e-12 (b)
capture 133.1 (b) 133.1 (b) 1.001 65.87 (b) 1.343 (mb) 29.50 (mb)
(n,p) ( E-thr = 3.415 MeV ) 839.3 (μb) 208.4 (nb)
(n,d) ( E-thr = 6.419 MeV ) 73.82 (μb) 40.55 (nb)
(n,t) ( E-thr = 6.286 MeV ) 15.07 (μb) 7.256 (nb)
(n,He-3) ( E-thr = 8.561 MeV ) 0.000 (b) 153.3e-18 (b)
(n,a) 0.000 (b) 0.000 (b) 282.9 (nb) 184.7 (μb) 52.86 (nb)
MT = 203 ( E-thr = 3.415 MeV ) 840.4 (μb) 213.4 (nb)
MT = 204 ( E-thr = 6.419 MeV ) 73.82 (μb) 40.57 (nb)
MT = 205 ( E-thr = 6.286 MeV ) 15.07 (μb) 7.256 (nb)
MT = 206 ( E-thr = 8.561 MeV ) 0.000 (b) 153.3e-18 (b)
MT = 207 0.000 (b) 0.000 (b) 282.9 (nb) 195.0 (μb) 57.57 (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)
 .