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

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TABLE III.4. FITTED c 2 WITH ADJUSTED AND SYSTEMATICS PARAMETERS<br />

(b) From Gaussian fit coefficient covariance V C1<br />

to systematic fit coefficients (c2) via second<br />

order function fitting;<br />

(c) From systematic fit coefficient covariance V C2<br />

to yields calculated with systematics via <strong>the</strong><br />

corresponding 5 or 3 Gaussian model using<br />

coefficients from systematics.<br />

All input covariance matrices <strong>for</strong> <strong>the</strong>se three<br />

steps are supposed to be diagonal (although <strong>the</strong>y are<br />

not) in order to prevent <strong>the</strong> processing from becoming<br />

too complicated. Never<strong>the</strong>less, <strong>the</strong>re should be a<br />

reasonably strong correlation <strong>for</strong> <strong>the</strong> experimental<br />

yield data because <strong>the</strong>y were measured simultaneously<br />

at each energy point by means <strong>of</strong> <strong>the</strong> kinetic<br />

energy method. As examples, Figs III.48–III.55 show<br />

comparisons between <strong>the</strong> original uncertainties given<br />

by <strong>the</strong> author, uncertainties adjusted <strong>for</strong> mass<br />

resolution, and uncertainties calculated with <strong>the</strong><br />

adjusted coefficients from systematics.<br />

336<br />

0–20 MeV 20–200 MeV<br />

E n (MeV) Adjusted Systematics E n (MeV) Adjusted Systematics<br />

2.0 0.888 0.725 20.0 0.589 1.847<br />

3.0 0.803 0.891 27.5 0.674 0.921<br />

5.0 0.619 0.841 39.0 0.508 0.975<br />

7.0 0.676 0.672 50.0 0.314 2.055<br />

10.0 0.751 0.975 63.0 0.460 5.820<br />

13.0 0.883 1.683 80.0 0.349 0.738<br />

16.25 0.896 0.971 99.5 0.135 0.267<br />

20.0 0.830 0.857 160.0 0.805 1.395<br />

200.0 0.0592 0.265<br />

Uncertainty ratio or uncertainty<br />

Adjusted Uncert. Ratio<br />

Adjusted Exp. Ratio<br />

Systematic s Uncert. Ratio<br />

Original Exp. Uncert.<br />

FIG. III.48. Ratio <strong>of</strong> adjusted (systematics) and experimental<br />

uncertainties at 2 MeV <strong>for</strong> 238 U fission mass distribution.<br />

Uncertainty ratio or uncertainty<br />

Adjusted Uncert. Ratio<br />

Adjusted Exp. Ratio<br />

Systematics Uncert. Ratio<br />

Original Exp. Uncert.<br />

FIG. III.49. Ratio <strong>of</strong> adjusted (systematics) and experimental<br />

uncertainties at 5 MeV <strong>for</strong> 238 U fission mass distribution.<br />

Uncertainty ratio or uncertainty<br />

Adjusted Uncert. Ratio<br />

Adjusted Exp. Ratio<br />

Systematics Uncert. Ratio<br />

Original Exp. Uncert.<br />

FIG. III.50. Ratio <strong>of</strong> adjusted (systematics) and experimental<br />

uncertainties at 10 MeV <strong>for</strong> 238 U fission mass distribution.<br />

The following observations can be made from<br />

<strong>the</strong> figures:<br />

(1) The uncertainties from <strong>the</strong> data adjusted <strong>for</strong><br />

mass resolution are much larger than <strong>the</strong><br />

original values given by <strong>the</strong> author. In fact, <strong>the</strong>

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