72-Hf-177

Reaction 0.0253-eV Maxwellian
Average
g-factor Resonance
Integral
14-MeV Fiss. Spec.
Average
total 372.2 (b) 379.9 (b) 1.021 5.319 (b) 6.907 (b)
elastic 216.6 (mb) 270.6 (mb) 1.249 2.693 (b) 4.040 (b)
inelastic ( E-thr = 113.6 keV ) 467.7 (mb) 2.680 (b)
(n,2n) ( E-thr = 6.420 MeV ) 2.142 (b) 12.90 (mb)
(n,3n) ( E-thr = 14.63 MeV ) 3.755 (μb)
(n,na) 0.000 (b) 0.000 (b) 4.781 (nb) 64.48 (μb) 20.19 (nb)
(n,np) ( E-thr = 6.830 MeV ) 132.2 (μb) 70.45 (nb)
(n,nd) ( E-thr = 10.92 MeV ) 0.000 (b) 171.9e-12 (b)
capture 372.0 (b) 379.6 (b) 1.020 7.212 (kb) 1.785 (mb) 173.7 (mb)
(n,p) 0.000 (b) 0.000 (b) 162.1 (μb) 10.82 (mb) 8.324 (μb)
(n,d) ( E-thr = 4.593 MeV ) 573.8 (μb) 147.8 (nb)
(n,t) ( E-thr = 4.624 MeV ) 52.21 (μb) 12.19 (nb)
(n,He-3) ( E-thr = 5.078 MeV ) 423.1e-18 (b) 288.2e-15 (b)
(n,a) 0.000 (b) 0.000 (b) 45.55 (μb) 1.279 (mb) 3.270 (μb)
MT = 203 0.000 (b) 0.000 (b) 162.1 (μb) 10.95 (mb) 8.395 (μb)
MT = 204 ( E-thr = 4.593 MeV ) 573.8 (μb) 148.0 (nb)
MT = 205 ( E-thr = 4.624 MeV ) 52.21 (μb) 12.19 (nb)
MT = 206 ( E-thr = 5.078 MeV ) 423.1e-18 (b) 288.2e-15 (b)
MT = 207 0.000 (b) 0.000 (b) 45.55 (μb) 1.343 (mb) 3.290 (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)
 .