99-Es-254

Reaction 0.0253-eV Maxwellian
Average
g-factor Resonance
Integral
14-MeV Fiss. Spec.
Average
total 2.168 (kb) 2.176 (kb) 1.004 5.998 (b) 8.256 (b)
elastic 10.22 (b) 11.54 (b) 1.129 2.882 (b) 4.581 (b)
inelastic ( E-thr = 80.42 keV ) 255.9 (mb) 1.639 (b)
(n,2n) ( E-thr = 5.113 MeV ) 418.7 (mb) 19.42 (mb)
(n,3n) ( E-thr = 11.49 MeV ) 56.42 (mb) 8.295 (μb)
fission 2.129 (kb) 2.133 (kb) 1.002 1.122 (kb) 2.379 (b) 1.931 (b)
(n,fission) 2.129 (kb) 2.133 (kb) 1.002 1.121 (kb) 1.364 (b) 1.924 (b)
(n,n,fiss) ( E-thr = 2.500 MeV ) 741.3 (mb) 7.709 (mb)
(n,2n,fiss) ( E-thr = 7.500 MeV ) 274.4 (mb) 51.97 (μb)
(n,4n) ( E-thr = 16.80 MeV ) 7.147 (nb)
(n,3nfiss) ( E-thr = 14.00 MeV ) 0.000 (b) 2.511 (nb)
capture 28.31 (b) 28.33 (b) 1.001 682.7 (b) 837.0 (μb) 83.09 (mb)
 
νp 4.077 7.493
νd 5.999e-3 4.107e-3

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)
 .


νp, νd : numbers of prompt and delayed neutrons per fission.