72-Hf-0

Reaction 0.0253-eV Maxwellian
Average
g-factor Resonance
Integral
14-MeV Fiss. Spec.
Average
total 114.2 (b) 117.0 (b) 1.024 5.334 (b) 6.959 (b)
elastic 9.985 (b) 11.26 (b) 1.128 2.639 (b) 4.186 (b)
inelastic ( E-thr = 88.86 keV ) 531.3 (mb) 2.681 (b)
(n,2n) ( E-thr = 6.133 MeV ) 2.154 (b) 9.599 (mb)
(n,3n) ( E-thr = 13.56 MeV ) 128.1 (μb) 8.488 (μb)
(n,na) 0.000 (b) 0.000 (b) 1.591 (nb) 46.12 (μb) 15.73 (nb)
(n,np) ( E-thr = 6.286 MeV ) 55.94 (μb) 36.64 (nb)
(n,nd) ( E-thr = 10.92 MeV ) 0.000 (b) 62.94e-12 (b)
capture 104.2 (b) 105.7 (b) 1.014 1.981 (kb) 1.611 (mb) 82.50 (mb)
(n,p) 0.000 (b) 0.000 (b) 49.28 (μb) 5.697 (mb) 3.171 (μb)
(n,d) ( E-thr = 4.049 MeV ) 758.8 (μb) 151.5 (nb)
(n,t) ( E-thr = 4.624 MeV ) 24.03 (μb) 8.955 (nb)
(n,He-3) ( E-thr = 3.466 MeV ) 3.881e-15 (b) 133.5e-15 (b)
(n,a) 0.000 (b) 0.000 (b) 16.44 (μb) 907.0 (μb) 1.167 (μb)
MT = 203 0.000 (b) 0.000 (b) 49.28 (μb) 5.753 (mb) 3.207 (μb)
MT = 204 ( E-thr = 4.049 MeV ) 758.8 (μb) 151.5 (nb)
MT = 205 ( E-thr = 4.624 MeV ) 24.03 (μb) 8.955 (nb)
MT = 206 ( E-thr = 3.466 MeV ) 3.881e-15 (b) 133.5e-15 (b)
MT = 207 0.000 (b) 0.000 (b) 16.44 (μb) 953.1 (μb) 1.182 (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)
 .