89-Ac-227

Reaction 0.0253-eV Maxwellian
Average
g-factor Resonance
Integral
14-MeV Fiss. Spec.
Average
(n,total) 813.1 (b) 816.3 (b) 1.004 5.822 (b) 7.617 (b)
(n,elastic) 12.53 (b) 14.15 (b) 1.129 2.791 (b) 4.510 (b)
(n,inelastic) ( E-thr = 27.49 keV ) 445.1 (mb) 2.972 (b)
(n,2n) ( E-thr = 6.560 MeV ) 2.170 (b) 15.87 (mb)
(n,3n) ( E-thr = 11.98 MeV ) 352.7 (mb) 55.64 (μb)
(n,fission) 100.0 (μb) 99.88 (μb) 0.999 57.43 (mb) 62.79 (mb) 12.16 (mb)
(n,f) 100.0 (μb) 99.88 (μb) 0.999 49.20 (mb) 25.72 (mb) 11.88 (mb)
(n,nf) ( E-thr = 3.000 MeV ) 35.97 (mb) 276.5 (μb)
(n,2nf) ( E-thr = 9.500 MeV ) 1.117 (mb) 831.5 (nb)
(n,4n) ( E-thr = 18.68 MeV ) 234.1e-12 (b)
(n,3nf) ( E-thr = 15.50 MeV ) 32.29e-12 (b)
(n,γ) 800.3 (b) 800.6 (b) 1.000 1.018 (kb) 1.119 (mb) 105.7 (mb)

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)
 .