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

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values (points) and <strong>the</strong> derived function (line), both<br />

adjusted <strong>for</strong> <strong>the</strong> small Z F dependence to allow<br />

comparison <strong>of</strong> parameter values <strong>for</strong> a number <strong>of</strong><br />

fission reactions with <strong>the</strong> derived function.<br />

The narrowness <strong>of</strong> <strong>the</strong> inner peak curves that<br />

results from <strong>the</strong> sharp decrease in yields below A H @<br />

130 and above <strong>the</strong> light complementary A L = PA –<br />

130 – NT, as well as <strong>the</strong> large kinetic energies<br />

[4.2.28] and small prompt neutron emission near<br />

A = 130 [4.2.29], may all arise from <strong>the</strong> proximities<br />

<strong>of</strong> <strong>the</strong> Z and N <strong>of</strong> <strong>the</strong> nascent heavy fragments to<br />

<strong>the</strong> Z = 50 and N = 82 spherical shells.<br />

4.2.2.7. Central peak curve<br />

FIG. 4.2.16. A' 4 = A 4 – f(Z f ) function.<br />

The maximum <strong>for</strong> <strong>the</strong> central peak is at <strong>the</strong><br />

midpoint (D 3 = 0.0, AL 3 = (PA – NT)/2), and <strong>the</strong><br />

width parameter <strong>for</strong> <strong>the</strong> central peak (s 3 = 8.6 ± 1.0)<br />

is <strong>the</strong> average <strong>of</strong> ten values from <strong>the</strong> fission <strong>of</strong><br />

thorium isotopes. Principal peak separations were<br />

larger <strong>for</strong> <strong>the</strong>se fissions than <strong>for</strong> <strong>the</strong> o<strong>the</strong>r fission<br />

reactions investigated, giving optimal in<strong>for</strong>mation<br />

about <strong>the</strong> properties <strong>of</strong> <strong>the</strong> central peak (e.g. see<br />

Figs 4.2.1(a) and (b) and compare with Figs 4.2.2(a)<br />

and (b) through to 4.2.10(a) and (b)). The value <strong>of</strong> 8.6<br />

better approximates <strong>the</strong> nearly flat valleys observed<br />

<strong>for</strong> a number <strong>of</strong> experimental mass yield data than<br />

does <strong>the</strong> smaller value <strong>of</strong> 6.0 used previously [4.2.4].<br />

For high energy fission reactions, s 3 was taken to be<br />

8.6 or s 1, whichever was <strong>the</strong> larger.<br />

The curve intensity (Y 3 ) increases by several<br />

orders <strong>of</strong> magnitude with increasing PE (~0.015%<br />

from model calculations <strong>for</strong> spontaneous fission<br />

[4.2.4] and ~90% <strong>for</strong> high energy fission). This<br />

significant change required two functions to be<br />

applied in different regions <strong>of</strong> PE (Eqs (4.2.7) and<br />

(4.2.8), Table 4.2.1, and Fig. 4.2.13). The transition<br />

between functions is quite smooth (two exponential<br />

functions with different slopes were used in Ref.<br />

[4.2.4]).<br />

4.2.2.8. Wing curves<br />

Least squares calculations <strong>for</strong> nuclei with Z F ≥<br />

94 showed that <strong>the</strong> wing curve parameters Y 6,7 and<br />

D 7 were essentially constant <strong>for</strong> low PE (

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