72-Hf-176

Reaction 0.0253-eV Maxwellian
Average
g-factor Resonance
Integral
14-MeV Fiss. Spec.
Average
total 27.97 (b) 28.77 (b) 1.029 5.290 (b) 6.973 (b)
elastic 5.826 (b) 6.568 (b) 1.127 2.573 (b) 4.285 (b)
inelastic ( E-thr = 88.86 keV ) 679.5 (mb) 2.549 (b)
(n,2n) ( E-thr = 8.212 MeV ) 2.022 (b) 3.726 (mb)
(n,3n) ( E-thr = 14.96 MeV ) 2.388 (μb)
(n,na) 0.000 (b) 0.000 (b) 8.933 (nb) 87.13 (μb) 28.26 (nb)
(n,np) ( E-thr = 6.734 MeV ) 191.9 (μb) 86.08 (nb)
(n,nd) ( E-thr = 12.21 MeV ) 0.000 (b) 24.50e-12 (b)
capture 22.14 (b) 22.20 (b) 1.003 699.0 (b) 1.821 (mb) 134.8 (mb)
(n,p) ( E-thr = 410.1 keV ) 10.01 (mb) 5.990 (μb)
(n,d) ( E-thr = 4.497 MeV ) 693.1 (μb) 163.4 (nb)
(n,t) ( E-thr = 5.914 MeV ) 6.155 (μb) 3.116 (nb)
(n,He-3) ( E-thr = 4.514 MeV ) 48.53e-15 (b) 363.0e-15 (b)
(n,a) 0.000 (b) 0.000 (b) 24.64 (μb) 877.5 (μb) 2.112 (μb)
MT = 203 ( E-thr = 410.1 keV ) 10.20 (mb) 6.076 (μb)
MT = 204 ( E-thr = 4.497 MeV ) 693.1 (μb) 163.4 (nb)
MT = 205 ( E-thr = 5.914 MeV ) 6.155 (μb) 3.116 (nb)
MT = 206 ( E-thr = 4.514 MeV ) 48.53e-15 (b) 363.0e-15 (b)
MT = 207 0.000 (b) 0.000 (b) 24.65 (μb) 964.6 (μb) 2.140 (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)
 .