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

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TABLE 4.6.3. FIT PARAMETER VALUES FOR THE 232 Th MASS YIELD CURVES<br />

The first two columns contain <strong>the</strong> values <strong>of</strong> <strong>the</strong> fit parameters <strong>for</strong> <strong>the</strong> single Gaussian mass and charge distribution<br />

fit, see Eq. (4.6.1) (referred to as symmetric). In <strong>the</strong> third and fourth column <strong>the</strong> parameter values that<br />

describe <strong>the</strong> decomposition <strong>of</strong> <strong>the</strong> mass distribution can be found, see Eq. (4.6.5) (referred to as decomposed).<br />

The meaning <strong>of</strong> <strong>the</strong> parameters is explained in <strong>the</strong> text. The fission cross-sections as obtained from <strong>the</strong> fit<br />

parameters are given as well as <strong>the</strong> value <strong>of</strong> Ref. [4.6.25]. The uncertainties in <strong>the</strong> fit parameters indicate <strong>the</strong><br />

sensitivity <strong>of</strong> <strong>the</strong> fit. The uncertainties in <strong>the</strong> fission cross-sections include a 10% systematic uncertainty that<br />

arises from <strong>the</strong> uncertainty in <strong>the</strong> proton flux.<br />

Symmetric fit parameters Value Decomposed fit parameters Value<br />

lA 30.7 ± 0.5 s1 52 ± 4<br />

MA 111.5 ± 0.2 s2 107.3 ± 0.4<br />

GA 23.15 ± 0.14 s3 14.7 ± 0.6<br />

— — m15.3 ± 1.0<br />

— — m2110.0 ± 0.3<br />

— — m330.2 ± 2.2<br />

— — m411.2 ± 0.7<br />

— — m527.7 ± 0.3<br />

— — m66.5 ± 0.4<br />

g1 0.820 ± 0.012 g1 0.345 ± 0.012<br />

g2 0.00786 ± 0.00013 g2 0.0129 ± 0.0002<br />

m1 1.92 ± 0.02 m1 2.07 ± 0.02<br />

m2 0.3910 ± 0.0002 m2 0.38953 ± 0.0004<br />

c 2<br />

12.8 c 2<br />

5.9<br />

exp<br />

s f [mb] 630 ± 60<br />

exp<br />

s f [mb] 950 ± 95<br />

Eismont<br />

s f [mb] 1236<br />

Eismont<br />

s f [mb] 1236<br />

symmetric component increases with excitation<br />

energy, which is coupled to an increase <strong>of</strong> neutron<br />

evaporation resulting in a larger contribution <strong>of</strong> <strong>the</strong><br />

neutron deficient nuclides with a higher fissility<br />

parameter. The excitation energy <strong>for</strong> which<br />

symmetric fission starts to contribute gives rise to a<br />

number <strong>of</strong> evaporated nucleons, corresponding to a<br />

certain neutron deficient nucleus. This nucleus is<br />

held responsible <strong>for</strong> <strong>the</strong> symmetric contribution<br />

and, hence, marks <strong>the</strong> position <strong>of</strong> <strong>the</strong> critical fissility<br />

parameter. From <strong>the</strong> data <strong>the</strong>y have extracted an<br />

expression <strong>for</strong> this critical value as a function <strong>of</strong><br />

nuclide charge:<br />

(Z 2 /A) C = 35.5 + 0.4(Z – 90). (4.6.4)<br />

This criterion is compared to <strong>the</strong>oretical results in<br />

Section 4.6.4.<br />

When compared to o<strong>the</strong>r experimental data,<br />

this criterion turns out to contradict <strong>the</strong>se results.<br />

216<br />

Measurements <strong>of</strong> proton induced fission <strong>of</strong> Th<br />

between 8 and 22 MeV have been per<strong>for</strong>med by<br />

Kudo et al. [4.6.12]. According to <strong>the</strong> assumption<br />

made by Chung and Hogan, <strong>the</strong> mass distributions<br />

in <strong>the</strong>ir experiment should be purely asymmetric,<br />

since all <strong>the</strong> fissioning systems that contribute<br />

have a Z 2 /A smaller than <strong>the</strong> critical value.<br />

However, <strong>the</strong> mass distributions in <strong>the</strong>ir experiment<br />

reveal a symmetric component as well. Ano<strong>the</strong>r<br />

experiment by Schmidt et al. [4.6.29] on fission <strong>of</strong><br />

neutron deficient actinides shows a clear transition<br />

<strong>of</strong> mixed symmetrical and asymmetrical charge<br />

distributions towards purely symmetrical charge<br />

distributions with decreasing neutron number.<br />

Several attempts o<strong>the</strong>r than <strong>the</strong> one by Chung<br />

and Hogan have been made in <strong>the</strong> past to describe<br />

and understand <strong>the</strong> varying fission characteristics <strong>of</strong><br />

nuclides with excitation energy (e.g. Refs [4.6.30–<br />

4.6.34]). An overview can be found in Ref. [4.6.35].<br />

Moreover, Brosa et al. [4.6.36] have developed a

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