72-Hf-180

Reaction 0.0253-eV Maxwellian
Average
g-factor Resonance
Integral
14-MeV Fiss. Spec.
Average
total 34.13 (b) 36.86 (b) 1.080 5.357 (b) 7.105 (b)
elastic 21.21 (b) 23.93 (b) 1.129 2.628 (b) 4.316 (b)
inelastic ( E-thr = 93.85 keV ) 512.0 (mb) 2.750 (b)
(n,2n) ( E-thr = 7.429 MeV ) 2.212 (b) 8.844 (mb)
(n,3n) ( E-thr = 13.56 MeV ) 365.2 (μb) 13.49 (μb)
(n,na) 0.000 (b) 0.000 (b) 0.000 (b) 18.04 (μb) 7.605 (nb)
(n,np) ( E-thr = 8.058 MeV ) 6.579 (μb) 10.18 (nb)
(n,nd) ( E-thr = 12.65 MeV ) 0.000 (b) 18.67e-12 (b)
capture 12.92 (b) 12.92 (b) 1.000 29.34 (b) 1.350 (mb) 30.61 (mb)
(n,p) ( E-thr = 2.334 MeV ) 1.935 (mb) 601.2 (nb)
(n,d) ( E-thr = 5.821 MeV ) 995.1 (μb) 144.2 (nb)
(n,t) ( E-thr = 6.359 MeV ) 10.76 (μb) 7.230 (nb)
(n,He-3) ( E-thr = 6.989 MeV ) 0.000 (b) 5.036e-15 (b)
(n,a) 0.000 (b) 0.000 (b) 2.196 (μb) 499.7 (μb) 201.5 (nb)
MT = 203 ( E-thr = 2.334 MeV ) 1.942 (mb) 611.3 (nb)
MT = 204 ( E-thr = 5.821 MeV ) 995.1 (μb) 144.3 (nb)
MT = 205 ( E-thr = 6.359 MeV ) 10.76 (μb) 7.230 (nb)
MT = 206 ( E-thr = 6.989 MeV ) 0.000 (b) 5.036e-15 (b)
MT = 207 0.000 (b) 0.000 (b) 2.196 (μb) 517.7 (μb) 209.2 (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)
 .