RERTR Publications:
Analysis Methods for Thermal Research and Test Reactors
ANL/RERTR/TM-29
COMPUTING CONTROL ROD WORTHS
IN THERMAL RESEARCH REACTORS
TABLE 3
BROAD GROUP BLACKNESS COEFFICIENTS AND
EFFECTIVE DIFFUSION PARAMETERS
FOR A HAFNIUM SLAB OF THICKNESS t
= 0.500 cm
|
|
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| Quantity | Group 1 | Group 2 | Group 3 | Group 4 | Group 5 |
| Eu(eV) | 1.0E+07 | 8.208E+5 | 5.531E+03 | 1.855 | 0.6249 |
| Sa/Ss | 0.01075 | 0.05192 | 0.6362 | 11.1581 | 6.5293 |
| D(cm) | 1.1018E+00 | 7.5354E-01 | 3.9258E-01 | 2.1924E-01 | 3.1425E-01 |
| Sa(cm-1) | 3.2572E-03 | 2.2812E-02 | 4.7998E-01 | 5.2020E+00 | 2.9832E+00 |
| L(cm) | 18.39 | 5.747 | 0.9044 | 0.2052 | 0.3246 |
| t/L | 0.0272 | 0.0870 | 0.5529 | 2.436 | 1.540 |
| Sat | 1.16286-03 | 1.1406E-02 | 2.3999E-01 | 2.6010E+00 | 1.4916E+00 |
| No. of Fine Groups | 1 | 1 | 32 | 14 | 21 |
| a(P1) | 8.1451E-04 | 5.6485E-03 | 1.0356E-01 | 4.5802E-01 | 3.8305E-01 |
| a(P3) | 8.1413E-04 | 5.6328E-03 | 1.0046E-01 | 4.3288E-01 | 3.6102E-01 |
| a(P5) | 8.1410E-04 | 5.6316E-03 | 1.0016E-01 | 4.3074E-01 | 3.5886E-01 |
| <a(P5)> | 8.1410E-04 | 5.6316E-03 | 1.0208E-01 | 4.1096E-01 | 3.5165E-01 |
| <aom(P1)> | 7.6051E-04 | 5.2312E-03 | 1.0070E-01 | 4.1707E-01 | 3.5647E-01 |
| b(P1) | 4.3542E+00 | 2.8878E+00 | 1.1282E+00 | 5.1022E-01 | 5.8520E-01 |
| b(P3) | 4.3541E+00 | 2.8869E+00 | 1.1191E+00 | 4.8566E-01 | 5.6261E-01 |
| b(P5) | 4.3541E+00 | 2.8868E+00 | 1.1179E+00 | 4.8394E-01 | 5.6093E-01 |
| <b(P5)> | 4.3541E+00 | 2.8868E+00 | 1.2135E+00 | 5.1162E-01 | 5.7023E-01 |
| <bom(P1)> | 3.8416E+02 | 5.4857E+01 | 4.8787E+00 | 5.3505E-01 | 6.2356E-01 |
| EDP's* | |||||
| h = t: | |||||
| Deff | 1.0885E+00 | 7.2169E-01 | 3.0337E-01 | 1.2790E-01 | 1.4256E-01 |
| Sa-eff | 3.2570E-03 | 2.2570E-02 | 4.4583E-01 | 8.3555E+00 | 3.6695E+00 |
| h = t/2: | |||||
| Deff | 1.0885E+00 | 7.2134E-01 | 2.9685E-01 | 9.2318E-02 | 1.1541E-01 |
| Sa-eff | 3.2567E-03 | 2.2548E-02 | 4.2667E-01 | 3.7061E+00 | 2.2719E+00 |
*Effective Diffusion Parameters (EDP's) based on <a(P5)> and <b(P5)> values.
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