Calculates total cross section at a given deuterium energy, eb
,
for Deuterium-Tritium nuclear reactions in the range [0.5-550 keV]
Type | Intent | Optional | Attributes | Name | ||
---|---|---|---|---|---|---|
real(kind=Float64), | intent(in) | :: | eb | Deuterium energy [keV] |
Cross Section []
function d_t_fusion(eb) result(sigma)
!+Calculates total cross section at a given deuterium energy, `eb`,
!+for Deuterium-Tritium nuclear reactions in the range [0.5-550 keV]
!+
!+###Equation
!+$$ D + T \rightarrow He^4(3.5 MeV) + n(14.1 MeV)$$
!+
!+###References
!+* Equations 8-9
!+* Table IV, VI in Ref. 7 [[atomic_tables(module)]]
real(Float64), intent(in) :: eb
!+ Deuterium energy [keV]
real(Float64) :: sigma
!+ Cross Section [\(cm^2\)]
real(Float64), dimension(5), parameter :: A1 = [ 6.927d4, 7.454d8, &
2.050d6, 5.2002d4, &
0.d0 ]
real(Float64), dimension(4), parameter :: B1 = [ 6.38d1, -9.95d-1, &
6.981d-5, 1.728d-4 ]
real(Float64), dimension(5), parameter :: A2 = [-1.4714d6, 0.d0, &
0.d0, 0.d0, 0.d0 ]
real(Float64), dimension(4), parameter :: B2 = [-8.4127d-3, 4.7983d-6, &
-1.0748d-9, 8.5184d-14 ]
real(Float64), parameter :: Bg = 34.3827
real(Float64), dimension(5) :: A
real(Float64), dimension(4) :: B
real(Float64) :: S, E
E = min(max(eb,0.5),4700.0)
if(E.le.530.0) then
A = A1
B = B1
else
A = A2
B = B2
endif
S = (A(1) + E*(A(2) + E*(A(3) + E*(A(4) + E*A(5))))) / &
(1 + E*(B(1) + E*(B(2) + E*(B(3) + E*B(4)))))
sigma = (1.0d-27)*(S/(E*exp(Bg/sqrt(E))))
end function d_t_fusion