72-Hf-174

Reaction 0.0253-eV Maxwellian
Average
g-factor Resonance
Integral
14-MeV Fiss. Spec.
Average
total 577.4 (b) 567.1 (b) 0.982 5.270 (b) 7.008 (b)
elastic 15.02 (b) 16.59 (b) 1.104 2.560 (b) 4.250 (b)
inelastic ( E-thr = 91.51 keV ) 781.0 (mb) 2.467 (b)
(n,2n) ( E-thr = 8.555 MeV ) 1.903 (b) 2.408 (mb)
(n,3n) ( E-thr = 15.68 MeV ) 785.6 (nb)
(n,na) 0.000 (b) 0.000 (b) 79.54 (nb) 167.0 (μb) 59.56 (nb)
(n,np) ( E-thr = 6.286 MeV ) 555.8 (μb) 173.5 (nb)
(n,nd) ( E-thr = 12.31 MeV ) 0.000 (b) 20.39e-12 (b)
capture 562.3 (b) 550.5 (b) 0.979 383.8 (b) 2.327 (mb) 287.6 (mb)
(n,p) 0.000 (b) 0.000 (b) 355.4 (μb) 17.30 (mb) 18.42 (μb)
(n,d) ( E-thr = 4.049 MeV ) 1.395 (mb) 359.0 (nb)
(n,t) ( E-thr = 6.018 MeV ) 6.905 (μb) 3.179 (nb)
(n,He-3) ( E-thr = 3.466 MeV ) 780.8e-15 (b) 1.016e-12 (b)
(n,a) 0.000 (b) 0.000 (b) 83.08 (μb) 1.374 (mb) 10.28 (μb)
MT = 203 0.000 (b) 0.000 (b) 355.4 (μb) 17.86 (mb) 18.59 (μb)
MT = 204 ( E-thr = 4.049 MeV ) 1.395 (mb) 359.0 (nb)
MT = 205 ( E-thr = 6.018 MeV ) 6.905 (μb) 3.179 (nb)
MT = 206 ( E-thr = 3.466 MeV ) 780.8e-15 (b) 1.016e-12 (b)
MT = 207 0.000 (b) 0.000 (b) 83.16 (μb) 1.541 (mb) 10.34 (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)
 .