72-Hf-181

Reaction 0.0253-eV Maxwellian
Average
g-factor Resonance
Integral
14-MeV Fiss. Spec.
Average
total 87.86 (b) 88.95 (b) 1.012 5.363 (b) 7.014 (b)
elastic 7.783 (b) 8.784 (b) 1.129 2.599 (b) 3.655 (b)
inelastic ( E-thr = 46.14 keV ) 528.0 (mb) 3.309 (b)
(n,2n) ( E-thr = 5.727 MeV ) 2.203 (b) 29.26 (mb)
(n,3n) ( E-thr = 13.16 MeV ) 30.21 (mb) 21.52 (μb)
(n,na) 0.000 (b) 0.000 (b) 0.000 (b) 6.869 (μb) 2.847 (nb)
(n,np) ( E-thr = 8.060 MeV ) 10.82 (μb) 18.69 (nb)
(n,nd) ( E-thr = 11.55 MeV ) 0.000 (b) 72.46e-12 (b)
capture 80.03 (b) 80.08 (b) 1.001 132.1 (b) 1.592 (mb) 19.64 (mb)
(n,p) ( E-thr = 1.900 MeV ) 2.607 (mb) 759.0 (nb)
(n,d) ( E-thr = 5.823 MeV ) 210.7 (μb) 55.88 (nb)
(n,t) ( E-thr = 5.255 MeV ) 4.974 (μb) 2.988 (nb)
(n,He-3) ( E-thr = 7.899 MeV ) 0.000 (b) 898.0e-18 (b)
(n,a) 0.000 (b) 0.000 (b) 1.045 (μb) 237.4 (μb) 106.0 (nb)
MT = 203 ( E-thr = 1.900 MeV ) 2.618 (mb) 777.7 (nb)
MT = 204 ( E-thr = 5.823 MeV ) 210.7 (μb) 55.95 (nb)
MT = 205 ( E-thr = 5.255 MeV ) 4.974 (μb) 2.988 (nb)
MT = 206 ( E-thr = 7.899 MeV ) 0.000 (b) 898.0e-18 (b)
MT = 207 0.000 (b) 0.000 (b) 1.045 (μb) 244.3 (μb) 108.9 (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)
 .