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Fission Product Yield Data for the Transmutation of Minor Actinide ...

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s S = A f(E*)/(a a – b a Z CN 2 /A) + ca (4.5.14)<br />

where a a , b a and c a are parameters <strong>of</strong> <strong>the</strong> systematics.<br />

The systematics parameters from Eqs (4.5.12)–<br />

(4.5.14) and dependences <strong>of</strong> Y S/Y a on Z CN, A and<br />

E* <strong>for</strong> proton and neutron induced fission have<br />

been determined by systematically fitting experimental<br />

data from <strong>the</strong> present work and from Refs<br />

[4.5.37–4.5.44]. One conclusion <strong>of</strong> this procedure is<br />

that <strong>the</strong> functions Y S /Y a <strong>for</strong> protons and neutrons<br />

differ, and <strong>the</strong> final equations are as follows:<br />

M H,a = 28.6(A/Z CN ) + 0.708 Z CN <strong>for</strong> Z CN ≥ 92;<br />

M H,a = 54A/Z CN <strong>for</strong> Z CN = 90, 91;<br />

s a = (A/Z CN )(Z CN – 73)(0.074 + 0.0296(E*) 0.25 );<br />

s S = 0.031A(E*) 0.25 /(90.54 – 1.9(Z CN 2 /A)) 0.5 + 9.64;<br />

g 1 and g 2 from Table 4.5.9;<br />

Y S /Y a = 1.244(E*) 0.25 (1 – exp(–0.0027(E* – 5.7) 1.5 ))<br />

× (1 + 100/(E*) 0.5 (Z CN/A – 0.4))<br />

<strong>for</strong> neutrons with E n = 5–200 MeV;<br />

Y S /Y a = 1.18((E*–5.7) 0.25 (1 – exp(–0.011(E* – 5.7) 1.5 ))<br />

– 0.101)(1 + 2500/E*(Z CN /A – 0.393))<br />

<strong>for</strong> protons with E p = 5–200 MeV;<br />

Y a = 200/(Y S/Y a + 2); Y S = 200 – 2Y a<br />

Mass distributions Y(M) calculated from <strong>the</strong><br />

systematics are compared to <strong>the</strong> experimental data<br />

in Figs 4.5.18–4.5.20.<br />

These figures show that this systematics<br />

reproduces <strong>the</strong> main features <strong>of</strong> <strong>the</strong> experimental<br />

data and could be used as <strong>the</strong> basis <strong>for</strong> predicting<br />

fission product yields from 5 to 200 MeV neutron<br />

reactions <strong>of</strong> interest <strong>for</strong> <strong>the</strong> transmutation <strong>of</strong> minor<br />

actinides.<br />

4.5.6. PYF code<br />

The systematics has been encompassed within<br />

<strong>the</strong> PYF computer code [4.5.45] in order to<br />

calculate <strong>the</strong> pre- and post-neutron emission<br />

fragment mass yields <strong>for</strong> <strong>the</strong> fission <strong>of</strong> target nuclei<br />

from Th to Bk in reactions with protons and<br />

neutrons at incident energies from 5 to 200 MeV.<br />

The numbers <strong>of</strong> emitted prompt neutrons are<br />

206<br />

FIG. 4.5.18. Experimental mass yields (circles) from<br />

neutron induced fission at E n ª 5 MeV [4.5.36, 4.5.38–<br />

4.5.41]; <strong>the</strong>ir systematic descriptions are also shown in<br />

linear and logarithmic scales (lines).<br />

FIG. 4.5.19. Experimental mass yields from neutron<br />

induced fission at E n = 16.5 MeV [4.5.43] (circles) and <strong>the</strong>ir<br />

systematic descriptions (lines) are shown in linear and<br />

logarithmic scales.<br />

calculated with <strong>the</strong> post-fission neutron number<br />

systematics from Ref. [4.5.46].<br />

Figure 4.5.21 depicts <strong>the</strong> user’s window to <strong>the</strong><br />

code, in which <strong>the</strong> initial input data <strong>for</strong> <strong>the</strong> desired<br />

reaction, <strong>the</strong> calculated results and <strong>the</strong> name <strong>of</strong> <strong>the</strong>

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