64-Gd-0

Reaction 0.0253-eV Maxwellian
Average
g-factor Resonance
Integral
14-MeV Fiss. Spec.
Average
total 48.76 (kb) 41.32 (kb) 0.847 5.351 (b) 6.721 (b)
elastic 137.7 (b) 127.4 (b) 0.925 2.815 (b) 4.369 (b)
inelastic ( E-thr = 54.88 keV ) 651.6 (mb) 2.242 (b)
(n,2n) ( E-thr = 6.401 MeV ) 1.880 (b) 6.978 (mb)
(n,3n) ( E-thr = 13.48 MeV ) 675.7 (μb) 5.148 (μb)
(n,na) 28.00e-33 (b) 28.39e-33 (b) 0.000 484.3 (nb) 67.73 (μb) 39.59 (nb)
(n,2na) ( E-thr = 5.552 MeV ) 16.74 (nb) 43.48e-12 (b)
(n,3na) ( E-thr = 12.36 MeV ) 37.58e-36 (b) 3.841e-12 (b)
(n,np) ( E-thr = 7.393 MeV ) 26.63 (μb) 20.51 (nb)
(n,nd) ( E-thr = 11.92 MeV ) 256.0e-18 (b) 19.57e-12 (b)
(n,nt) ( E-thr = 13.31 MeV ) 502.6e-27 (b) 80.33e-15 (b)
(n,n He-3) ( E-thr = 14.16 MeV ) 454.6e-15 (b)
capture 48.63 (kb) 41.19 (kb) 0.847 404.1 (b) 958.0 (μb) 102.8 (mb)
(n,p) 0.000 (b) 0.000 (b) 22.23 (μb) 3.998 (mb) 1.817 (μb)
(n,d) ( E-thr = 5.154 MeV ) 269.0 (μb) 61.60 (nb)
(n,t) ( E-thr = 5.618 MeV ) 2.944 (μb) 1.739 (nb)
(n,He-3) ( E-thr = 4.547 MeV ) 51.79e-15 (b) 18.82e-15 (b)
(n,a) 92.27 (μb) 80.61 (μb) 0.874 108.0 (μb) 1.721 (mb) 1.173 (μb)
(n,2a) 76.52e-21 (b) 77.59e-21 (b) 1.014 4.072e-12 (b) 276.5e-12 (b) 217.2e-15 (b)

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)
 .