RERTR Publications:
Analysis Methods for Thermal Research and Test Reactors
ANL/RERTR/TM-29
COMPUTING CONTROL ROD WORTHS
IN THERMAL RESEARCH REACTORS
TABLE 1
BROAD GROUP BLACKNESS COEFFICIENTS AND
EFFECTIVE DIFFUSION PARAMETERS
FOR A CADMIUM SLAB OF THICKNESS t
= 0.1016 cm
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|
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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 | 5.7044E-03 | 3.5980E-02 | 4.6885E-01 | 3.3797E+00 | 2.7866E+02 |
| D(cm) | 2.2107E+00 | 1.2857E+00 | 6.6445E-01 | 4.5743E-01 | 2.6851E-02 |
| Sa(cm-1) | 1.3852E-03 | 1.1291E-02 | 1.6113E-01 | 8.1813E-01 | 6.7436E+01 |
| L(cm) | 39.95 | 10.67 | 2.031 | 0.7477 | 0.01995 |
| t/L | 0.0025 | 0.0095 | 0.0500 | 0.1359 | 5.093 |
| Sat | 1.4074E-04 | 1.1472E-03 | 1.6371E-02 | 8.3122E-02 | 6.8515E+00 |
| No. of Fine Groups | 1 | 1 | 32 | 14 | 21 |
| a(P1) | 7.2308E-05 | 5.7402E-04 | 8.0056E-03 | 3.8077E-02 | 4.9904E-01 |
| a(P3) | 7.2304E-05 | 5.7374E-04 | 7.9567E-03 | 3.7162E-02 | 4.7188E-01 |
| a(P5) | 7.2304E-05 | 5.7371E-04 | 7.9516E-03 | 3.7089E-02 | 4.6980E-01 |
| <a(P5)> | 7.2304E-05 | 5.7371E-04 | 7.2171E-03 | 3.6251E-02 | 4.4449E-01 |
| <ao(P5)> | 7.0502E-05 | 5.7111E-04 | 7.1182E-03 | 3.5965E-02 | 4.4473E-01 |
| <aom(P1)> | 6.5998E-05 | 5.3636E-04 | 6.8076E-03 | 3.4988E-02 | 4.4368E-01 |
| b(P1) | 2.6866E+01 | 2.0183E+01 | 1.3004E+01 | 6.2145E+00 | 4.9955E-01 |
| b(P3) | 2.6868E+01 | 2.0183E+01 | 1.3002E+01 | 6.2051E+00 | 4.7241E-01 |
| b(P5) | 2.6868E+01 | 2.0183E+01 | 1.3002E+01 | 6.2034E+00 | 4.7035E-01 |
| <b(P5)> | 2.6868E+01 | 2.0183E+01 | 1.3795E+01 | 8.6248E+00 | 4.7099E-01 |
| <bo(P5)> | 4.7447E+03 | 5.8022E+02 | 1.8903E+02 | 1.5660E+01 | 4.7134E-01 |
| <bom(P1)> | 4.4454E+03 | 5.4537E+02 | 1.7754E+02 | 1.4706E+01 | 4.6984E-01 |
| EDP's* | |||||
| h = t: | |||||
| Deff | 1.3649E+00 | 1.0253E+00 | 7.0079E-01 | 4.3814E-01 | 2.3926E-02 |
| Sa-eff | 1.4233E-03 | 1.1294E-02 | 1.4214E-01 | 7.1662E-01 | 1.5556E+02 |
| h = t/2: | |||||
| Deff | 1.3649E+00 | 1.0253E+00 | 7.0070E-01 | 4.3768E-01 | 1.4800E-02 |
| Sa-eff | 1.4233E-03 | 1.1294E-02 | 1.4210E-01 | 7.1511E-01 | 3.6893E+01 |
*Effective Diffusion Parameters (EDP's) based on <a(P5)> and <b(P5)> values.
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