Abstract
In the present work, the cross-sections of 9Be(α,n)12C reaction available in the literature for a different references as a function of alpha particle energy have been rearranged for alpha particle energies from near threshold energy up to 10 MeV in steps of 0.050 MeV using the MATLAB computer program. The obtained data were used to calculate the weighted average cross sections. The stopping power of alpha particle near threshold up to 10 MeV for the 9Be(α,n)12C reaction have been calculated using the Zeigler formula. The obtained data of weighted average cross sections and the stopping powers are taken into consideration and used to calculate the adopted neutron yields (n/106α) using the MATLAB computer program Simpson rules. The polynomial expressions have been used to fitting the calculated adopted neutron yields (n/106α) of the 9Be(α,n)12C reaction to determine the neutron yields from the best fitting equations with minimum CHISQ. The total neutron yields Yn(Be)(n/s/g(-emitter/ppm) have been calculated using the various alpha emitters such as
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The values of Yo(n/106() and Yn(Be)(n/s/g(/ppm) have been found to be in good agreement with those reported previously. The (Q(o),(T(o) and (T(i) are taken into consideration to determine the (Mean T() of the mentioned alpha emitters.
While the cross-sections of (d,n) reactions available in the literature for a different references as a function of deuteron energies for light elements such as ( 9Be, 10,11B,12,13C,14,15N,16,17,18O,19F,20,21,22Ne,23Na,24,25,26Mg,27Al,28,29,30Si and 31P) have been rearranged for deuteron energies from near threshold up to 10 MeV in steps of 0.050 MeV using the MATLAB computer program, the obtained data were used to calculate the weighted average cross sections.
The stopping powers of deuteron energies near threshold up to 10 MeV for the above light elements have been calculated using our new calculated modified Bethe formula. The obtained data of weighted average cross sections and the stopping powers are taken into consideration and used to calculate the neutron yields (n/106d) of the above isotope light elements using the MATLAB computer program Simpson rules, while the obtained data of the neutron yields (n/106d) of the mentioned isotope elements are taken into consideration to determine the neutron yields of the natural elements such as (natBe,natB,natC,natN,natO,natF,natNe,natNa,natMg,natAl,natSi and natP) using the abundance of the mentioned elements. The polynomial expressions have been used to fitting the calculated neutron yields (n/106d) of the mentioned isotope and natural light elements to determine the neutron yields from the best fitting equations with minimum CHISQ. The results of the present work indicate that the integration law Simpson rules has been applied on (d,n) reactions successfully to determine the neutron yields (n/106d) using the isotope and natural light elements. The best value of the obtained neutron yields of (d,n) reactions from the polynomial expressions is taken into consideration and used to derive the four sets of empirical formula; the obtained data for each elements in the four sets are compared with the adopted and the calculated neutron yields (n/106d) from the polynomial expressions, and the results are found to be, within associated uncertainties, in general a good agreement.
