ML18065A927
| ML18065A927 | |
| Person / Time | |
|---|---|
| Site: | Palisades  |
| Issue date: | 09/19/1996 |
| From: | Bordine T CONSUMERS ENERGY CO. (FORMERLY CONSUMERS POWER CO.) |
| To: | NRC OFFICE OF INFORMATION RESOURCES MANAGEMENT (IRM) |
| References | |
| NUDOCS 9609270319 | |
| Download: ML18065A927 (50) | |
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I consumers Power POWERl#li lllllClllliA#"S l'IUllillUS J
Palisades Nuclear Plant: 27780 Blue Star Memorial Highway, Covert, Ml 49043 September 19, 1996
- U.S. Nuclear Regulatory Commission Document Control Desk
- Washington, DC 20555 DOCKET 50-255 - LICENSE DPR PALISADES PLANT Thomas C. Bordine Manager, Licensing UPDATED REACTOR VESSEL FLUENCE SUBMITIAL - PARTIAL RESPONSE TO ADDITIONAL QUESTIONS On April 4, 1996, Consumers Power Company (CPCo) submitted a reevaluation of the Palisades fluence data. The reevaluation contained a new estimate of when the limiting reactor vessel material will reach the Pressurized Thermal Shock (PTS) screening criteria. On May 15, 1996, CPCo met with the NRC staff to discuss the updated reactor vessel fluence values. On June 12 and 21, 1996, CPCo responded to the NRC questions from the May 15, 1996 meeting. On August 14, 1996, the NRC staff and CPCo met to further discuss the updated reactor vessel fluence submittal. At that meeting, the NRC staff asked additional questions. On August 27, 1996, and September 9, 1996, CPCo submitted the first two parts of the response to those question-s. This submittal is the third of four submittals planned to respond to the NRC questions from the August 14, 1996 meeting. We plan to submit the final responses by October 1, 1996. In addition, this submittal contains a correction to our September 9, 1996 fluence submittal and information requested by Brookhaven National Laboratory on September 12, 1996.
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- . contains the NRC questions and the CPCo responses. provides a correction to Figure 2.1-1, which was submitted on September 9, 1996. provides information requested by the Staff during our August 14, 1996, meeting on the possible sources of bias between the calculated fluence and the measured fluence.
2 and 5 provide information requested during a September 12, 1996 teleconference between the Brookhaven National Laboratory and CPCo. Attachment 4 provides sketches which show the details of the stainless steel pin locations of sp=-=e=-=c:..:..:if.o..::ic~----
core-perimeter-fael-ass*emblie-s usecrinCycles ro ancfll. Attachment 5 contains sketches of the ex-vessel dosimetry location and how it is supported in order to provide an overview of how the dosimetry is positioned.
SUMMARY
OF COMMITMENTS This letter contains no new commitments and no revisions to existing commitments.
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Thomas C. Berdine Manager, Licensing CC Administrator, Region Ill, USNRC Project Manager, NRR, USNRC NRC Resident Inspector - Palisades Attachments
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ATTACHMENT 1 CONSUMERS POWER COMPANY PALISADES PLANT DOCKET 50-255 CPCO RESPONSE TO NRC QUESTIONS FROM AUGUST 14, 1996 MEETING 34 Pages
Updated Fluence Submittal Request for Addition-al Information 3.1 What are the changes (in magnitude and sign) in the flux and each of the dosimeter cross sections.resulting from the adjustment procedure? How do these changes compare with the assumed uncertainties?
CPCo Response Data from the in-vessel W290-9 capsule and 16° (280°) Cycle 9 cavity capsule are presented as examples of the data set. The changes in the flux and dosimetry cross sections for the in-vessel and cavity capsules are provided on the following tables.
These tables show that the changes due to the least squares adjustment procedure are
- well below, in magnitude, the assumed uncertainties.
-Table 3.1-1' 3.1-2 3.1-3 3.1-4 3.1-5 3.1-6 3.1-7 3.1-8 3.1-9 3.1-10 3.1-11 3.1-12 3.1-13 3.1-14 3.1-15 3.1-16 3.1-17 W290-9 Internal Capsule Least Squares Adjustment Results W290-9 Internal Capsule Neutron Flux Least Squares Adjustments W290-9 Internal Capsule Measurement Least Squares Adjustments W290-9 Internal Capsule Cross Section Le.ast Squares Adjustments 63Cu (n,a) 6°Co W290-9 Internal Capsule Cross Section Least Squares Adjustments 46Ti (n,p)' 46Sc
- W290-9 Internal Capsule Cross Section Least Squares Adjustments 54Fe (n,p) 54Mn W290-9 Internal Capsule Cross Section Le_ast Squares Adjustments 58Ni (n,p) 58Co W290-9 Internal Capsule Cross Section Least Squares Adjustments 238U (n,f) F.P.
W290-9 Internal Capsule Cross Section Least Squares Adjustments 237Np (n,f) F.P..
W290-9 Internal Capsule Cross Section Least Squares Adjustments 59Co (n,y) 6°Co 16° (280°) Cycle 9 Cavity Capsule Least Squares Adjustment Results 16° (280°) Cycle 9 Cavity Capsule Neutron Flux Least Squares Adjustments 16° (280°) Cycle 9 Cavity Capsule Measurement Least Squares Adjustments 16° (280°) Cycle 9 Cavity Capsule Cross Section Least-Squares Adjustments 63Cu (n,a) 6°Co
_ 16° (280°) Cycle 9 Cavity Capsule Cross Section Least Squares Adjustments
- 46Ti (n,p) 46Sc 16° (280°) Cycle 9 Cavity Capsule Cross Section Least Squares Adjustments 54Fe (n,p) 54Mn 16° (280°) Cycle 9 Cavity Capsule Cross Section Least Squares Adjustments 58Ni {n,p) 58Co 1
- 1 3.1-18 3.1 3.1-20 3.1-21
.~
16 ° (280 °) Cycle 9 Cavity Capsule Cross Section Least Squares Adjustments 238U (n,f) F.P.
16° (280°) Cycle 9 Cavity Capsule Cross Section Least Squares Adjustments 237Np (n,f) F.P.
16° (280°) Cycle 9 Cavity Capsule Cross Section Least Squares Adjustments 59Co (n,y) 6°Co 16° (280°) Cycle 9 Cavity Capsule Cross Section Least Squares Adjustments 235U (n,f) F.P.
2
Table 3.1:.1 W290-9 Internal_ Capsule Least Squares Adjustment Results
- Fractional Adj/Cale Calculated Adjusted Uncertain~
Change Ratio
¢ (E > 1.0 MeV) 3.82e+10 3.12e+10 7%
-0.182 0.818
¢ (E > 0.1 MeV) 6.99e+10 5.76e+10 13%
-0.176 0.824
¢ (E > 0.4 MeV) 5.61e+10 5.96e+10 14%
0.062 1.062
¢ (E > 0.0 MeV) 1.88e+11 1.68e+11 11%
-0.107 0.893 dpa/sec 5.50e-11 4.59e-11 7%
-0.166 0.834 Measured Calculated Adjusted Reac. Rate Reac. Rate Reac. Rate Meas/Cale Meas/Adj Adj/Cale Reaction (q2s/atom)
(rgs/atom)
(rgs/atom)
Ratio Ratio Ratio
. 63Cu (n,a) Cd 5.72e-17 5.85e-17 5.67e-17 0.978 1.009 0.969 54Fe (n,p)
- 4.28e-15 5.26e-15
- 4.48e-15 0.81"4 0.955 0.852 i (n,p) Cd*
5.76e-15 6.70e-15 5.78e-15 0.860 0.997 0.863 i (n,p) 9.44e-16 9.36e-16 9.16e-16 1.009.
1.031 0.979 238U (n,f) Cd 1.48e-14 1.70e-14 1.42e-14 0.871
. 1.042 0.835 237Np (n,f) Cd 6.26e-14 7.66e-14 6.26e-14 0.817 1.000 0.817 59Co (n,y) 1.70e-12 1.71e-12 1.70e-12 0.994 1.000 0.994 59Co {n,y) Cd 2.38e-13 3.51e-13 2.39e.,13 0.678 0.996 0.681 Note:
The ratios are presented to show how the adjustment process handles the.
data. The Meas/Cale ratio is a measure of the difference between the measured and calculated values prior to the adjustment. The Meas/Adj ratio gives an indication as to how the spectrum has been adjusted and indicates how the adjusted spectrum matches the set *of measured data. The Adj/Cale ratio shows how the adjustment compares fo the calculation. This data shows that the spectrum has been adjusted to fit the measured data.
3
/
Table 3.1-2 W290-9 Internal Capsule Neutron Flux Least Squares Adjustments Upper Calculated Adjusted Energy Energy Flux Fractional Flux Fractional Fractional GrouQ (MeV)
(n/cm2-sec}
Uncertainty (n/cm2-sec}
Uncertainty Change 1
1.73e+01 8.56e+06 0.424 9.01e+06 0.230 0.052 2
1.49e+01 1.82e+07 0.424 1.91e+07 0.204 0.049 3
1.35e+01 6.42e+07 0.424 6.67e+07 0.176 0.039 4
1.16e+01 1.67e+08 0.424 1.71e+08 0.149 0.021 5
1.00e+01 3.79e+08 0.424 3.78e+08 0.124
-0.003 6
8.61e+OO 6.54e+08 0.424 6.31e+08 0.108
-0.035 7
7.41e+OO 1.72e+09 0.424 1.60e+09 0.'092
-0.070 8
6.07e+OO 2.51e+09 0.424 2.21e+09 0.093
-0.121 9
4.97e+OO 4.43e+09 0.424 3.69e+09 0.093
-0.166 10 3.68e+OO 4.05e+09 0.424 3.28e+09 0.107
-0.189 11 2.87e+OO 6.31e+09 0.424
- 5.04e+09 0.115
-0.201
- 12 2.23e+OO 5.83e+09 0.424 4.63e+09 0.130
-0.207 13 1.74e+OO 5.78e+09 0.424 4.56e+09 0.147
-0.211 14 1.35e+OO 4.28e+09 0.424 3.37e+09 0.169
-0.213 15 1.11e+OO 5.82e+09 0.424 4.62e+09 0.189
-0.207 16 8.21e-01 5.32e+09 0.424 4.27e+09 0.212
-0.197 17 6.39e-01 4.69e+09 0.424 3.82e+09 0.234
-0.184 18 4.98e-01 3.26e+09 0.424 2.70e+09 0.256
-0:170 19 3.88e-01 3.77e+09 0.424 3.18e+09 0.275
-0.156 20 3.02e-01 5.51e+09
- 0.424 4.72e+09 0.291
-0.142 21 1.83e-01 4.59e+09 0.424 3.98e+09 0.305
-0.131 22 1.11e-01 3.65e+09 0.424*
3.20e+09 0.316
-0.122 23 6.74e-02 3.14e+09 0.424 2.78e+09 0.324
-0.115 24 4.09e-02 2.23e+09 0.424 1.99e+09 0.330
-0.111 25 2.55e-02 1.70e+09 0.424 1.51e+09 0.334
-0.108 26 1.99e-02 1.41e+09 0.424 1.25e+09 0.336
-0.108 27 1.50e-02 2.39e+09
- 0.424 2.13e+09 0.337
-0.110 28 9.12e-03 2.48e+09 0.656 2.20e+09 0.602
-0.114 29 5.53e-03 2.54e+09 0.656 2.23e+09 0.601
-0.120 30 3.35e-03 8.05e+08 0.656 7.02e+08 0.599
-0.128
- 31 2.84e-03 7.92e+08 0.656 6.82e+08 0.595
-0.139 32 2.40e-03 7.93e+08.
0.656 6.71e+08 0.588
-0.154 33
. 2.03e-03 2.38e+09 0.656 1.97e+09 0.576
-0.173 34 1.23e-03 2.38e+09 0.656 1.91e+09 0.559
-0.197 35 7.49e-04 2.35e+09 0.656 1.83e+09 0.535
-0.223 36 4.54e-04 2.26e+09 0.656 1.70e+09 0.505
-0.248 37 2.75e-04 2.37e+09 0.656 1.74e+09 0.476
-0.267 38 1.67e-04 2.44e+09 0.656 1.55e+09 0.166
-0.362 39 1.01e-04 2.42e+09 0.656 1.75e+09 0.460-
-0.276 40 6.14e-05 2.41e+09 0.656 1.78e+09 0.481
-0.263 41 3.73e-05 2.41e+09 0.656 1.82e+09 0.507
. -0.244 42 2.26e-05 2.40e+09 0.656 1.86e+09 0.529
-0.225 43 1.37e-05 2.36e+09 0.656 1.87e+09 0.546
-0.206 44 8.31e-06 2.35e+09 0.656 1.90e+09 0.558
-0.192 45 5.04e-06 2.41e+09 0.656 1.98e+09 0.565
-0.180 46 3.06e-06 2.49e+09 0.656 2.06e+09 0.570
-0.170 47 1.86e-06 2.54e+09 0.656 2.13e+09 0.574
-0.161 48 1.13e-06 2.49e+09 0.656 2.11e+09 0.577
-0.150 49 6.83e-07 2.41e+09 1:090 -*
2.08e+09 1.020*
-0.139 50 4, 14e-07 2.63e+09 1.090 2.41e+09 0.991
-0.085 51 2.51e-07 7.95e+09 1.090 7.72e+09 0.914
-0.030 52 1.52e-07 1.40e+10 1.090 1.43e+10 0.795 0.022 53 9.24e-08 3.15e+10 1.090 3.52e+10 0.247 0.115 4
Table 3.1-3 W290-9 Internal Capsule Measurement Least Squares Adjustments Measured Adjusted Reac. Rate Fractional Reac. Rate Fractional Fractional (rgs/atom)
Uncertainty (rgs/atom)
Uncertaint~
Change 63Cu (n,a) Cd 5.72e-17 0.050 5.67e-17 0.083
-0.009 46Ti (n,p) 9.44e-16 0.050 9.16e-16 0.067
-0.029 54Fe (n,p) 4.28e-15 0.050 4.48e-15.
0.048 0.047 58Ni (n,p) Cd 5.76e-15 0.050 5.78e-15 0.058 0.003 238U (n,f) Cd 1.48e-14 0.100 1.42e-14 0.062
-0.036 237Np (n,f) Cd 6.26e-14 0.100 6.26e-14 0.115 0.001 59Co (n,y) 1.70e-12 0.050 1.70e-12 0.060
-0.001 59Co (n,y).Cd 2.38e-13 0.050 2.39e-13 0.083 0.004 5
Energy Groug 1
2 3
4 5
6 7
8 9
10 11
'. 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
- 31.
32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 Table 3.1-4 W290-9 Internal Capsule Cross Section Least Squares Adjustments 63Cu (n,a) 6°Co Upper Reference Adjusted Energy x-section Fractional x-section Fractional (MeV)
(barns)
Uncertain~
(barns)
Uncertainty 1.73e+.01 3.17e-02 0.076 3.18e-02 0.075 1.49e+01 4.22e-02 0.076 4.25e-02 0.075 1.35e+01 4.24e-02 O.Q75 4.28e-02 0.072 1.16e+01 3.54e-02 0.093 3.59e-02 0.087 1.00e+01 2.66e-02 0.075 2.70e-02 0.066 8.61e+OO 1.79e-02 0.081 1.82e-02 0.069 7.41e+OO
- 9.85e-03 0.096 1.01e-02 0.082 6.07e+OO 3.13e-03 0.103 3.19e-03 0.094 4.97e+OO 5.12e-04 0.133 5.20e-04 0.127 3.68e+OO 3.86e-05 0.192 3.92e-05 0.188 2.87e+OO 2.83e-06 0.267 2.87e-06 0.264 2.23e+OO 1.58e-07 1.000 1.58e-07 1.000 1.74e+OO 3.94e-10 1.000 3.94e-10 1.000.
1.35e+OO 1.11e+OO 8.21e-01 6.39e-01 4.98e-0.1 3.88e-01 3.02e-01 1.83e-01 1.11e-01 6.74e-02 4.09e-02 2.55e-02 1.99e-02 1.50e-02 9.12e-03 5.53e-03
'3.35e-03 2.84e-03 2.40e-03 2.03e-03 1.23e-03 7.49e-04 4.54e-04 2.75e-04 1.67e-04 1.01e-04 6.14e-05 3.73e-05 2.26e-05 1.37e-05 8.31e-06 5.04e-06 3:06e-06 1.86e-06 1.13e-06 6.83e-07 4.14e-07 2.51e-07 1.52e-07 9.24e-08 6
Fractional Change 0.005 0.006 0.008 0.014 0.015 0.018 0.021 O.Q18 0.016 0.017 0.016 0.000 0.000
~*
ii' Energy Group 1
2 3
4 5
6 7
8 9
10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
-26 27 28 29 30 31 -
32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48
- 49 50 51 52 53 Table 3.1-5 W290-9 Internal Capsule Cross Section Least Squares Adjustments 46Ti (n,p) 46Sc Upper Energy (MeV) 1.73e+01 1.49e+01 1.35e+01 1.16e+01 1.00e+01 8.61e+OO 7.41e+OO 6.07e+OO 4.97e+OO 3.68e+OO -
2.87e+OO
,2.23e+OO 1.74e+OO 1.35e+OO 1.11e+OO 8.21e-01 6.39e-01 4.98e-01 3.88e-01 3.02e-01 1.83e-01 1.11e_-01 6.74e-02 4.09e-02 2.55e-02
-1.99e-02 1.50e-02 9.12e-03 5.53e-03 3.35e-03 2.84e-03 2.40e-03 2.03e-03 1.23e-03 7.49e-04 4.54e-04 2.75e-04 1.67e-04 1.01e-04 6.14e-05 3.73e-05 2.26e-05 1.37e-05 8.31e-06 5.04e-06 3.06e-06 1.86e-06 1.13e-06 6.83e-07 4.14e-07 2.51e-07 1.52e-07 9.24e-08 Reference x-section (barns) 2.19e~01 2.45e-01 2.56e-01 2.48e-01 2.26e-01 1.98e-01 1.46e-01 8.80e-02 3.40e-02 4.14e-03 4.38e-05 1.70e-07 5.51e-09 Fractional Uncertain~
0.146 0.119 0.090 0.080 0.080 0.080 0.080 0.080 0.080 0.357 0.689 1.000 1.000 7
Adjusted x-section Fractional (barns)
Uncertain~
2.32e-01 0.138 2.60e-01 0.110
- 2.69e-01 0.080 2.62e-01 0.068 2.40e-01 0.064 2.11e-01 0.061 1.57e-01 0.058 9.41e-02 0.059 3.61e-02 0.064 5.10e-03 0.314 5.83e-05 0.648 1.1oe~o1 1.000 5.51e-09 1.000 Fractional Change 0.060 0.058 0.052 0.054 0.061
- 0.066 0.071 0.069 0.062 0.232 0.331
- 0.000 0.000
Energy Group 1
2 3
4 5
6 7
8 9
10 11 12 13 14 15 16 17 18 19 20 21 22.
23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44
- 45.
46 47 48 49 50 51 52 53 Table 3.1-6 W290-9 Internal Capsule Cross Section Least Squares Adjustments 54Fe (n,p) 54Mn Upper Energy (MeV) 1.73e+01 1.49e+01 1.35e+01 1.16e+01 1.00e+01 8.61e+OO 7.41e+OO 6.07e+OO 4.97e+OO 3.68e+OO 2.87e+OO 2.23e+OO 1.74e+OO 1.35e+OO 1.11e+OO 8.21e-01 6.39e-01 4.98e-01 3.88e-01 3.02e-01 1.83e-01 1.11e-01
- 6.74e-02 4.09e-02 2.55e-02 1.99e-02 1.50e-02 9.12e-03 5.53e-03 3.35e-03 2.84e-03 2.40e-03 2.03e-03 1.23e-03 7.49e-04 4.54e-04 2.75e-04 1.67e-04 1.01e-04 6.14e-05 3.73e-05
- 2.26e-05 1.37e-05 8.31e-06 5.04e-06 3.06e-06 1.86e-06 1.13e-06 6:83e 4.14e-07 2.51e-07 1.52e-07 9.24e-08 Ref ere rice x-section (barns) 2.29e-01 3.38e-01 4.36e-01 4.73e-01 4.82e-01 4.82e-01 4.78e-01 4.32e-01 3.05e-01 1.85e-01 7.40e-02 2.21e-02 3.42e-03 9.86e-04 1.73e-04 3.65e-06 Fractional Uncertainty 0.067 Q.066 0.056 0.044 0.044 0.036 0.037 0.038 0.037 0.047 0.047 0.051 0.072 0.072 0.120 0.158 8
Adjusted x-section Fractional (barns)
Uncertainty 2.26e-01 0.067 3.34e-01 0.065 4.31e-01 0.056 4.66e~01 0.042 4.76e-01 0.042 4.75e-01 0.034 4.70e-01 0.035 4.23e-01 0.035 2.99e-01 0.034 1.81e-01 0.044 7.23e-02 0.044 2.17e-02 0.049 3.37e-03 0.071 9.71e-04 0.071 1.70e-04 0.120 3.60e-06 0.158 Fractional Change
-0.009
-0.010
-0.011
-0.014
-0.014
-0.016
-0.017
-0.020
-0.021
-0.022
-0.022
-0.019
-0.016
-0.016
-0.014
-0.013
Energy Group 1
2 3
4 5
6 7
8 9
10 11 12 13 14 15 16
- 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 Table 3.1-7 W290-9 Internal Capsule Cross Section Least Squares Adjustments Upper Energy (MeV) 1.73e+01 1.49e+01 1.35e+01 1.16e+01 1.00e+01 8.61e+OO 7.41e+OO 6.07e+OO 4.97e+OO 3.68e+OO 2.87e+OO 2.23e+OO
. 1.74e+OO 1.35e+OO 1.11e+OO 8.21e-01 6.39e-01 4.98e-01 3.88e-01 3.02e-01 1.83e~o1 1.11e-01 6.74e-02 4.09e-02 2.55e-02 1.99e-02 1.50e-02 9.12e-03 5.53e-03 3.35e-03 2.84e-03 2.40e-03 2.03e-03 1.23e-03 7.49e-04 4.54e-04 2.75e-04 1.67e-04 1.01e-04 6.14e-05 3.73e-05 2.26e-05 1.37e-05 8.31e-06 5.04e-06 3.06e-06 1.86e-06 1.13e-06 6.83e-07 4.14e-07 2.51e-07 1.52e-07 9.24e-08 Reference x-section (barns) 2.13e-01 3.67e-01 5.25e-01
- 5.99e-01 6.24e-01 6.25e-01 6.05e-01 5.05e-01 3.74e-01 2.33e-01 1.16e-01 4.25e-02 1.65e-02 7.17e-03 1.87e-03 7.20e-04 2.10e-04 58Ni (n,p) 58Co Adjusted Fractional x-section Fractional Uncertain~
(barns)
Uncertain~
0.160 2.13e-01 0.160 0.180 3.67e-01 0.180 0.128 5.24e-01 0.126 0.112 5.97e-01 0.108 0.071 6.22e-01 0.064 0.061 6.23e-01 0.053 0.071 6.03e-01 0.063 0.069 5.03e-01 0.058 0.067 3.73e-01 0.052 0.103 2.32e-01 0.087 0.103 1.15e-01 0.087 0.091 4.24e-02 0.087 0.141 1.65e-02 0.141 0.141 7.16e-03 0.141 0.145 1.87e-03 0.144 0.180 7.20e-04 0.180 1.000 2.10e-04 1.000 9
Fractional Change 0.000 0.000
-0.002
-0.003
-0.003
-0.003
-0.003
-0.004
-0.004
-0.005
-0.005
-0.005
-0.001
-0.001
-0.001 0.000 0.000
Table 3.1-8 W290-9 1.nternal Capsule Cross Section Least Squares Adjustments 238U (n,f) F.P.
Upper Reference Adjusted Energy Energy x-section Fractional x-section Fractional Fractional GrouR (MeV)
(barns)
Uncertaint~
(barns)
Uncertaint~
Change 1
1.73e+01 1.23e+OO 0.080 1.24e+OO 0.079 0.005 2
1.49e+01 1.13e+OO 0.070 1.13e+OO 0.070 0.005 3
1.35e+01 9.99e-01 0.060 1.00e+OO 0.059 0.005 4
1.16e+01 9.85e-01 0.047 9.88e-01 0.046 0.004 5
1.00e+01 9.95e-01 0.040 9.99e-01 0.039 0.004 6
8.61e+OO 9.91e-01 0.039 9.94e-01 0.038 0.004 7
7.41e+OO 8.30e-01 0.038 8.33e-01 0.037 0.004 8
6.07e+OO 5.58e-01 0.036 5.60e-01 0.035 0.004 9
4.97e+OO 5.46e-01 0.035 5.48e-01 0.034 0.004 10 3.68e+OO 5.24e-01 0.033 5.26e-01 0.032 0.004 11 2.87e+OO 5.34e-01 0.032 5.36e-01 0.030 0.004 12 2.23e+OO 5.13e-01 0.031.
5.14e-01 0.030 0.003 13 1.74e+OO 3.41e-01 0.053 3.43e-01 0.052 0.006 14 1.35e+OO 5.66e-02 0.073 5.70e-02 0.071 0.007 15 1.11e+OO 1.56e-02 0.094 1.57e-02 0.093 0.008 16 8.21e-01 2.56e-03 0.118 2.58e-03.
0.116 0.008 17 6.39e-01 6.86e-04 0.140 6.92e-04 0.138 0.008 18 4.98e-01 2.88e-04 0.218 2.91e-04 0.217 0.011
. 19 3.88e-01 1.73e-04 0.350 1.75e-04 0.349 0.014 20 3.02e-01 7.87e-05 0.548 7.98e-05 0.547 0.015 21 1.83e-01 5.92e-05 0.812 5.99e-05 0.812 0.011 22 1.11e-01 5.60e-05 1.000 5.60e-05 1.000 0.000 23 6.74e-02.
5.97e-05 1.000 5.97e-05 1.000 0.000 24 4.09e-02 7.17e-05 1.000 7.17e-05 1.000 0.000 25 2.55e-02 8.54e-05 1.000 8.54e-05 1.000 0.000 26 1.99e 9.39e-05 1.000 9.39e-05 1.000 0.000 27 1.50e-02 9.02e-05 1.000 9.02e-05 1.000 0.000 28 9.12e-03 9.03e-05 1.000 9.03e-05 1.000 0.000 29 5.53e-03 1.22e-06 1.000 1.22e-06 1.000 0.000 30 3.35e-03 1.00e-35 1:000 1.00e-35 1.000 0.000 31 2.84e-03 1.00e 1.000 1.00e-35 1.000 0.000 32
.2.40e-03 3.41e-09 1.000 3.41e-09 1.000 0.000 33 2.03e-03 3.04e-04 1.000 3.04e-04 1.000 0.000 34 1.23e-03 8.78e-04 1.000 8.79e-04 1.000 0.000 35 7.49e-04 1.56e-03 1.000 1.56e~03 1.000 0.001 36 4.54e-04 1.48e-05 1.000 1.48e-05 1.000
. 0.000 37 2.75e-04 2.09e-05 1.000 2.09e-05 1.000 0.000 38 1.67e-04 5.80e-06 1.000 5.80e-06 1.000 0.000 39 1.01e-04 5.90e-05 1.000 5.90e-05 1.000 o.ooo
- 40 6.14e-05 1.32e-05 1.000 1.32e-05 1.000 0.000 41 3.73e-05 2.37e-05 1.000 2.37e-05 1.000 0.000 42 2.26e-05 3.19e-04 1.000 3.19e-04 1.000 0.000 43 1.37e-05 2.06e-06 1.000 2.06e-06 1.000 0.000 44 8.31e-06 1.16e-04 1.000 1.16e-04 1.000 0.000 45 5.04e-06 5.77e-06 1.000 5.77e-06 1.000 0.000 46 3.06e-06 5.90e-06 1.000 5.90e-06 1.000 0.000 47 1.86e-06 6.96e-06 1.000 6.96e-06 1.000 0.000 48 1.13e-06 8.56e-06 1.000 8.56e-06 1.000 0.000 49 6.83e-07 1.07e-05 1.000 1.07e-05 f.000 0.000 50 4.14e-07 1.46e-05 1.000 1.46e-05 1.000 0.000 51 2.51e-07 1.82e-05 1.000 1.82e-05 1.000 0.000 52 1.52e-07 2.27e-05 1.000 2.27e-05 1.000 0.000 53 9.24e-08 4.47e-05 1.000 4.47e-05 1.000 0.000 10
Table 3.1-9 W290-9 Internal Capsule Cross Section Least Squares Adjustments 237Np (n,f) F.P.
Upper Reference Adjusted Energy Energy x-section Fractional x-section Fractional Fractional GrouQ (MeV)
(barns)
Uncertain~
(barns)
Uncertain~
Change 1
1.73e+01 2.22e+OO 0.154 2.22e+OO 0.144
-0.001 2
1.49e+01 2.13e+OO 0.148 2.13e+OO 0.138
-0.001 3
1.35e+01 2.08e+OO 0.142 2.08e+OO 0.131
-0.001 4
1.16e+01 2.11e+OO 0.134 2.11e+OO 0.123
-0.001 5
1.00e+01 2.18e+OO 0.127 2.18e+OO 0.115
-0.001 6
8.61e+OO 2.24e+OO 0.120 2.24e+OO 0.107
-0.001 7
7.41e+OO 1.96e+OO 0.112 1.95e+OO 0.099
-0.001 8
6.07e+OO 1.49e+OO 0.103 1.49e+OO 0.090
-0.001 9
4.97e+OO 1.54e+OO 0.099 1.53e+OO 0.085
-0.001 10 3.68e+OO
. 1.62e+OO 0.099 1.61e+OO 0.085
-0.001 11 2.87e+OO 1.67e+OO 0.099 1.66e+OO 0.084
-0.001 12 2.23e+OO 1.67e+OO 0.099 1.67e+OO 0.084
-0.001 13 1.74e+OO 1.59e+OO 0.099 1.59e+OO 0.085
-0.001 14 1.35e+OO 1.50e+OO 0.099 1.49e+OO 0.085
-0.001 15 1.11e+OO 1.37e+OO 0.099 1.37e+OO 0.086
-0.001 16 8.21e-01 1.07e+OO 0.099 1.07e+OO 0.087
-0.001 17 6.39e-01 6.45e-01 0.102 6.44e-01 0.090
-0.001 18 4.98e-01 2.83e-01 0.115 2.83e-01 0.103
-0.001 19 3.88e-01 1.06e-01 0.128 1.06e-01 0.118
-0.001 20 3.02e-01 4.55e-02
- 0.150 4.55e-02 0.141
-0.001 21 1.83e-01 2.30e-02 0.180 2.30e-02 0.173
-0.001 22 1.11e-01 1.48e-02 0.211 1.48e-02 0.206
-0.001 23 6.74e-02 1.18e-02 0.242 1.18e-02 0.239
-0.001 24 4.09e-02 1.04e-02 0.313 1.04e-02 0.313 0.000 25 2.55e-02 9.75e-03 0.307 9.75e-03 0.307 0.000 26 1.99e-02 9.49e-03 0.303
- 9.49e-03 0.303 0.000 27 1.50e-02 9.19e-03 0.297 9.19e-03 0.297 0.000 28 9.12e-03 8.77e-03 0.289 8.77e-03 0.289 0.000 29 5.53e-03 8.83e-03 0.281 8.83e-03 0.281 0.000 30 3.35e-03 9.32e-03 0.276 9.32e-03 0.276 0.000 31 2.84e-03 1.04e-02 0.273 1.04e-02 0.273 0.000 32
- 2.40e-03 7.54e-03 0.271 7.54e-03 0.271 0.000 33 2.03e-03 1.23e-02 0.266 1.23e-02 0.266 0.000 34 1.23e-03 1.46e-02 0.258 1.46e-02 0.258 0.000 35 7.49e-04 1.18e-02 0.250 1.18e-02
. 0.250 0.000 36 4.54e-04 1.89e-02 0.243 1.89e-02 0.243 0.000 37 2.75e-04 4.55e-02 0.235 4.55e-02 0.235 0.000 38 1.67e-04 2.04e-02 0.228 2.04e-02 0.228 0.000 39 1.01e-04 2.48e-03 0.222 2.48e-03 0.222 0.000 40 6.14e-05 1.27e-01 0.219 1.27e-01 0.219 0.000 41 3.73e-05 5.36e-02 0.216 5.36e-02 0.216 0.000 42 2.26e-05 1.49e-03 0.212 1.49e-03 0.212 0.000 43 1.37e-05 3.68e-03 0.209 3.68e-03 0.209 0.000 44 8.31e-06 1.04e-02 0.206 1.04e-02 0.206 0.000 45 5.04e-06 6.21e-03 0.203 6.21e-03 0.203 0.000 46 3.06e-06 1.34e-03 0.200 1.34e-03 0.200 0.000 47 1.86e-06 1.33e-02 0.197 1.33e-02 0.197 0.000 48 1.13e-06 1.61e-03 0.194 1.61e-03 0.194 0.000
- 49 6.83e-07
- 1.49e-02 0.190 -
- 1.49e-02 0:190 0:000 50 4.14e-07 4.33e-03 0.187 4.33e-03 0.187 0.000 51 2.51e-07 5.61e-03 0.184 5.61e-03 0.184 0.000 52 1.52e-07 7.53e-03 0.181 7.53e-03 0.181 0.000 53 9.24e-08 1.68e-02 0.100 1.68e-02 0.100 0.000 11
Table 3.1-10 W290-:9 Internal Capsule Cross Section Least Squares Adjustments 59Co (n, y) 6°Co Upper Reference Adjusted Energy Energy x-section Fractional x-section Fractional Fractional Grou~
(MeV)
(barns)
Uncertain~
(barns)
Uncertainty Change 1
1.73e+01 6.79e-04 0.866 6.79e-04 0.866 0.000 2
1.49e+01 8.83e-04 0.800 8.83e-04 0.800 0.000 3
1.35e+01 7.83e-04 0.728 7.83e-04 0.728 0.000 4
1.16e+01 6.48e-04 0.641 6.48e-04 o.641 0.000 5
1.00e+01 6.41e-04 0.553 6.41e-04 0.553 0.000 6
8.61e+OO 7.28e-04 0.466 7.28e-04 0.466 0.000 7
7.41e+OO
- 9.40e-04 0.364 9.40e-04 0.364 0.000 8
6.07e+OO 1.19e-03 0.297 1.19e-03 0.297 0.000 9
4.97e+OO 1.58e-03 0.288 1.58e-03 0.288 0.000 10 3.68e+OO 2.11e-03 0.278 2.11e-03 0.278 0.000 11 2.87e+OO 2.61e-03 0.270 2.60e-03 0.270 0.000 12 2.23e+OO 3.24e-03 0.261 3.24e-03 0.261 0.000 13 1.74e+OO 4.22e-03
' 0.252 4.22e-03 0.252 0.000 14 1.35e+OO 5.80e-03 0.244 5.80e-03 0.244 0.000 15 1.11e+OO 6.45e-03 0.235 6.45e-03 0.235 0.000 16 8.21e-01 6.63e-03 0.226 6.63e-03 0.226 0.000 17 6.39e-01 7.07e-03 0.217 7.07e-03 0.217 0.000 '
18 4.98e-01 7.79e-03 0.208 7.79e-03, 0.208 0.000 19
- 3.88e-01 8.77e-03 0.199 8.77e-03
- O.Hl9
- 0.000.
20 3.02e-01
- 1. 1be-02 0.186 1.10e-02 0.186 0.000 21.
1.83e-01 1.57e-02 0.168 1.57e-02 0.168 0.000 22 1.11e-01 1.29e-02 0.151 1.29e-02 0.151 0.000 23 6.74e-02 1.46e-02 6.143 1A6e-02 0~143 0.000
'24 4.09e-02 2.84e-02 0.137 2.83e-02 0.137 0.000 25 2.55e-02 2.94e-02 0.132 2.94e-02 0.132
-0.001 26 1.99e-02 4.90e-02 0.128 4.89e-02 0.128
-0.001 27 1.50e-02 5.00e-02 0.122 4.99e-02 0.122
- -0.001 28 9.12e-03 5.44e-02 0.115 5.43e-02 0.115
-0.001 29 5.53e-03 *
- 2.28e-01 0.108 2.27e-01 0.108
-0.002 30 3.35e~03 1.31e-01 0.104 1.31e~01 0.104
-0.002 31 2.84e-03 4:18e-02 0.102 4.17e-02 0.101
-0.002 32 2.40e-03 9.79e-03 0.099 9.76e-03 0.099 "0.002 33 2.03e-03 2.03e-02 0.095 2.03e-02 0.095
-0.003
'34 1.23e-03 1.49e-02 0.088 1.49e-02 0.088
-0.003 35 7.49e-04 3.56e-02 0.081 3.55e-02 0.081
-0.003 36
- 4.54e-04 1.32e-01 0.074 1.32e-01 0.074
-0.003 37 2.75e-04 1.38e+OO 0.067.*
1.37e+OO 0.067
-0.003 38 1.67e-04 1.12e+02 0.060
- 1. 12e+02 0.060
-0.004 39 1.01e-04 3.89e+OO 0.059
- 3.88e+OO 0.059
-0.003 40 6.14e-05 1.83e+OO 0.058 1.83e+OO 0.057
-0.003 41 3.73e-05 1.64e+OO 0.056 1.63e+OO 0.056
-0.003 42 2.26e-05 1.76e+OO 0.055 1.76e+OO 0.055
-0.002 43 1.37e-05 2.06e+OO 0.054 2.06e+OO 0.054
-0.002 44 8.31e-06 2.51e+OO 0.053 2.51e+OO 0.053
-0.002 45 5.04e-06 3.13e+OO 0.051 3.13e+OO 0.051
-0.001 46 3.06e-06 3.95e+OO 0.050 3.95e+OO 0.050
-0.001 47 1.86e-06 5.02e+OO 0.049 5.02e+OO 0.049
-0.001 48 1.13e-06 6.41e+OO 0.048 6.40e+OO 0.048
-0.001 49 6c83e-07
- 8.20e+OO*
0.047 8.19e+OO
. 0:047 "0.001 50 4.14e-07 1.13e+01 0.045 1.13e+01 0.045 0.000 51 2.51e-07 1.42e+01 0.044 1.42e+01
'0.044 0.000 52 1.52e-o7 1.77e+01 0.043 1.77e+01 0.043 0.000 53 9.24e-08 3.50e+01 0.031 '
3.50e+01 0.031 0.000 12
'.J; Table 3.1-11 16° (280°) Cycle 9 Cavity Capsule Least Squares Adjustment Results.
Fractional Adj/Cale Calculated Adjusted Uncertainty Change Ratio ct> (E > 1.0 MeV) 1.07e+09 8.56e+08 8%
-0.199 0.801 ct> (E > 0.1 MeV) 9.63e+09 7.36e+09 16%
-0.236
. 0.764 ct> (E > 0.4 MeV) 2.20e+09 4.84e+08 27%
-0.780 0.220 ct> (E > 0.0 MeV) 2.34e+10 1.36e+10 14%
-0.417 0.583 dpa/sec 3.37e-12 2.59e-12 13%
-0.231 0.769 Measured Calculated Adjusted Reac. Rate Reac. Rate Reac. Rate Meas/Cale Meas/Adj Adj/Cale Reaction (rgs/atom)
(rgs/atom)
(rgs/atom}
Ratio Ratio Ratio 63Cu (n,a) Cd 7.06e-19 8.00e-19
. 7.03e-19 0.883 1.004 0.879 46Ti (n,p) 1.02e-17 1.12e-17 1.00e-17 0.911 1.020 0.893 Fe (n,p) 5.13e-17 6.25e-17 5.19e-17 0.821 0.988 0.830 i (n,p) Cd 7.25e-17 8.73e-17 7.25e-17 0.830 1.000 0.830 238U (n,f) Cd 2.38e-16 3.16e-16 2.53e-16 0.753 0.941
. 0.801 237Np (n,f) Cd 3.94e-15 4.38e-15 3.66e-15 0.900 1.077 0.836 59Co (n,y) 3.57e-14 1.10e-13 3.6te-14 0.325 0.989 0.328 59Co (n,y) Cd 2.36e-14 5.12e-14 2.33e-14 0.461 1.013 0.455 235U (n,f) Cd 6.13e-14 1.82e-13 6.89e-14 0.337 0.890 0.379 Note:
The.ratios are presented to show how the adjustment process handles the
- . data. The Meas/Cale ratio is a measure of the difference between the measured and calculated values prior to the adjustment. The Meas/Adj ratio gives an indication as to how the spectrum has been adjusted and indicates
- how the adjusted spectrum matches the set of measured data. The Adj/Cale ratio shows how the adjustment compares to the calculation. This* data shows that the spectrum has been adjusted to fit the measured data.
13
I.) -~
~*--
Table 3.1-12 16° (280°) Cycle 9 Cavity Capsule Neutron Flux Least Squares Adjustments Upp~r Calculated Adjusted Energy Energy Flux Fractional Flux Fractional Fractional Grou12 (MeV)
(n/cm2-sec)
Uncertaint~
(n/cm2-sec)
Uncertainty Change 1
1.73e+01 1.82e+05
- 0.424 1.55e+05 0.219
-0.147 2
1.49e+01 3.72e+05 0.424 3.23e+05 0.194
-0.133 3
1.35e+01 1.16e+06 0.424 1.02e+06 0.166
-0.123 4
1.16e+01 2.90e+06 0.424 2.56e+06 0.140
-0.117 5
1.00e+01 6.19e+06 0.424 5.46e+06 0.116
-0.117 6
8.61e+OO 9.20e+06
. 0.424 8.06e+06 0.104
-0.124 7
7.41e+OO 1.95e+07
. 0.424 1.69e+07 0.093
-0.134 8
6.07e+OO 2.61e+07 0.424 2.20e+07 0.096
-0.154 9
4.97e+OO 4.52e+07 0.424 3.73e+07 0.096
-0.175.
10 3.68e+OO 4.86e+07 0.424
.3.94e+07 0.107
-0.191 11 2.87e+OO 9.82e+07 0.424 7.83e+07 0.111
-0.203 '
12 2.23e+OO 1.40e+08 0.424 1.11e+08 0.117
-0.209 13 1.74e+OO 2.16e+08 0.424 1.71e+08 0.124
-0.211 14 1.35e+OO 2.49e+08 0.424 1.98e+08 0.137
-0.205 15
. 1.11e+OO.
6.04'e+08 0.424 4.83e+08 0.143
-0.201 16 8.21e-01 8.84e+08 0.424 7.05e+08 0.155
-0.202 17 6.39e-01 1.12e+09 0.424 8.82e+08 0.171
-0.210 18 4.98e-01 7.11e+08 0.424 5.51e+08 0.193
-0.224 19' 3.88e-01 1.51e+09 0.424 1.15e+09 0.211
-0.237.
20 3.02e-01 1.80e+09 0.424 1.34e+09 0.230
-0.254 21 1.83e-01 1.88e+09 0.424 1.37e+09 0.247
-0.273 22 1.11e-01 1.25e+09 0.424 8.86e+08 0.263
-0.292 23 6.74e-02 9.33e+08 0.424' 6.41e+08 0.276
-0.313 24 4.09e-02 5.66e+08 0.424 3.78e+08 0.287
-0.332 25 2.55e-02 8.71e+08 0.424 5.65e+08 0.295
-0.351 26
- 1.99e-02 4.37e+08 0.424 2.77e+08
- o.301
- o.367 27 1.50e-02 5.22e+08 0.424 3.23e+08 0.305
-0.382 28 9.12e-03 5.43e+08 0.656 3.00e+08 0.578
-0,.446 29 5.53e-03 5.59e+08 0.656 2.97e+08 *
- 0.576
-0.469 30 3.35e-03 1.70e+08
- 0.656 8.84e+07 0.575
-0.478 31 2.84e-03 1.59e+08 0.656 8.04e+07 0.571
-0.496 32 2.40e-03 1.53e+08 0.656 7.49e+07 0.565
-0.511 33 2.03e-03 4.50e+08 0.656 2.10e+08 0.553
-0.534 34 1.23e-03.*
4.42e+08 0.656 1.99e+08 0.537
-0.549 35 7.49e-04 4.'07e+08 0.656 1.77e+08 0.514
-0.564 36 4.54e-04 3.64e+08 0.656 1.55e+08 0.486
-0.573.
37 2.75e-04 3.71e+08 0.656 f50e+08 0.456.
-0.596 38 *,
1.67e-04 3.79e+08 0.656 1.83e+08 0.092
-0.516 39 1.01e-04 3.66e+08 0.656.
1.30e+08 0.434
-0.644 40 6.14e-05 3.52e+08 0.656 1.11e+08 0.433
-0.685 41 3.73e-05 3.40e+08 0.656 9.93e+07 0.440
-0.708 42 2.26e-05 3.25e+08 0.656 9.09e+07 0.448
-0.721 43 1.37e-05 3.08e+08 0.656 8.15e+07 0.445
-0.735 44 8.31e-06 2.91e+08 0.656 8.57e+07 0.482
-0.706 45 5.04e-06 2.79e+08 0.656 8.57e+07 0.497
-0.693 46 3.06e-06 2.74e+08 0.656
- 8.93e+07 0.513
-0.674 47 1.86e-06 2:71e+08 0.656 9.15e+07 0.523
-0.662 48 1.13e-06 2.16e+08 0.656 7.50e+07 0.530
-0.653
-49 6:83e-07 *
- 2:10e+08
-1.090 5.62e+07-
- 0.985
-0.733 -
50 4.14e-07 3.67e+08 1.090 9.55e+07 0.949
-0.740 51 2.51e-07 3.47e+08 1.090 8.90e+07 0.884
-0.744 52
.1.52e-07
- 3.29e+08 1.090 8.23e+07 0.813
-0.750 53 9.24e-08 1.16e+09 1.090 2.17e+08 0.358
-0.813 14
Table 3.1-13 16° (280°) Cycle 9 Cavity Capsule Measurement Least Squares Adjustments Measured Adjusted Reac. Rate Fractional Reac. Rate Fractional Fractional (rQs/atom)
Uncertaintv (rQs/atom)
Uncertainty Change 63Cu (n,a) Cd 7.06e+05 0.050 7.03e+05 0.083
-0.005 46Ti {n,p) 1.02e+07 0.050 1.00e+07 0.069
-0.018 54Fe (n,p) 5.13e+07 0.050 5.19e+07 0.049 0.012 58Ni (n,p) Cd 7.25e+07 0.050 7.25e+07 0.058 0.000 238U (n,f) Cd 2.38e+08 0.100 2.53e+08 0.069 0.063 237Np (n,f) Cd 3.94e+09 0.100 3.66e+09 0.134
-0.071 59Co (n,y) 3.57e+10 0.050 3.61e+10 0.072 0.010
_59Co (n,y) Cd 2.36e+10 0.050 2.33e+10 0.090
'-0.012 235U (n,f) Cd 6.13e+10 0.100 6.89e+10 0.094 0.124 15
-~;
Energy Groug 1
2 3
4 5
6 7
8 9
10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 Table 3.1-14 16° (280°) Cycle 9 Cavity Capsule Cross Section Least Squares Adjustments 63Cu (n,a) 6°Co Upper Reference Adjusted Energy x-section Fractional x-section Fractional Fractional (MeV)
(barns)
Uncertainty (barns)
Uncertainty Change 1.73e+01 3.17e-02 0.076 3.18e-02 0.075 0.003 1.49e+01 4.22e-02 0.076 4.24e-02 0.075 0.004 1.35e+01 4.24e-02 0.075 4.26e-02 0.072 0.005 1.16e+01 3.54e-02 0.093 3.57e-02 0.087 0.008 1.00e+01 2.66e-02 0.075 2.68e-02 0.066 0.008 8.61e+OO 1.79e-02 0.081 1.81e-02 0.069 0.010 7.41e+OO 9.85e-03 0.096 9.96e-03 0.083
. O.Q11 6.07e+OO 3.13e-03 0.103 3.16e-03 0.096 0.009 4.97e+oo*
5.12e-04 0.133 5.16e-04 0.128 0.008 3.68e+OO 3.86e-05 0.192 3.89e-05 0.189 0.008 2.87e+OO 2.83e-06 0.267 2.85e-06 0.265 0.008 2.23e+OO 1.58e-07 1.000 1.58e-07 1.000 0.000 1.74e+OO 3.94e-10 1.000 3.94e-10 1.000 0.000 1.35e+OO 1.11e+OO 8.21e-01 6.39e-01 4.98e-01
- 3.88e-01 3.02e-01 1.83e-01 1.11e-01 6.74e-02 4.09e-02 2.55e-02 1.99e-02 1.50e-02 9.12e-03 5.53e-03 3.35e-03 2.84e-03 2.40e-03 2.03e-03 1.23e-03 7.49e-04 4.54e-04 2.75e-04 1.67e-04 1.01e-04 6.14e-05 3.73e-05 2.26e-05 1.37e-05 8.31e-06 5.04e-06 3.06e-06 1.86e-06 1.13e-06 6.83e-07 4.14e-07 2.51e-07 1.52e-07 9.24e-08 16
. Energy Group 1
2 3
4 5
6 7
8 9
10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39
.40 41 42 43 44 45 46 47 48 49 51 52 53 Table 3.1-15 16° (280°) Cycle 9 Cavity Capsule Cross Section Least Squares Adjustments 46Ti (n,p) 46Sc Reference Adjusted Upper Energy (MeV) x-section Fractional x-section Fractional Fractional 1.73e+01 1.49e+01 1.35e+01 1.16e+01 1.00e+01 8.61e+OO 7.41e+OO 6.07e+OO 4.97e+OO 3.68e+OO 2.87e+OO 2.23e+OO 1.74e+OO 1.35e+OO 1.11e+OO 8.21e-01 6.39e-01
- 4.98e-01 3.88e-01 3.02e-01 1.83e-01 1.11e-01.
6.74e-02 4.09e-02 2.55e-02 1.99e-02 1.50e-02 9.12e-03 5.53e-03 3.35e-03 2.84e-03*
2.40e-03 2.03e-03 1.23e-03 7.49e-04
- 4.54e-04 2.75e-04 1.67e-04 1.01e-04 6.14e-05 3.73e-05 2.26e-05 1.37e-05 8.31e-06 5.04e-06 3.06e-06 1.86e-06 1.13e-06 6.83e-07 4.14e-07 2.51e-07 1.52e-07 9.24e-08 (barns}
2.19e-01 2.45e-01 2.56e-01 2.48e-01 2.26e-01 1.98e-01 1.46e-01 8.80e-02 3.40e-02 4.14e-03 4.38e-05 1.70e-07 5.51e-09 Uncertain~
0.146 0.119 0.090 0.080 0.080 0.080 0.080 0.080 0.080 0.357 0.689 1.000 1.000 17 (barns}
Uncertain~
Change 2.27e-01 0.137 0.039 2.55e-01 0.109 0.037 2.64e-01 0.079 0.032 2.56e-01 0.067 0.033 2.35e-01 0.063 0.037 2.06e-01 0.060 0.040 1.52e-01 0.059 0.042 9.16e-02
- 0.060 0.040 3.52e-02 0.065 O.Q35 4.67e-03 0.320 0.126 5.14e-05 0.654 0.175 1.70e-07 1.000 0.000 5.51e-09 1.000 0.000
Energy Group 1
2 3
4 5
6 7
8 9
10 11 12
.. 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 - -
51 52 53 Table 3.1-16 16° (280°) Cycle 9 Cavity Capsule Cross Section Least Squares Adjustments 54Fe (n,p) 54Mn Reference Adjusted Upper Energy (MeV)
- x-section Fractional x-section Fractional Fractional 1.73e+01 1.49e+01 1.35e+01 1.16e+01 1.00e+01 8.61e+OO 7.41e+OO 6.07e+OO 4.97e+OO
- 3.68e+OO 2.87e+OO 2.23e+OO 1.74e+OO 1.35e+OO 1.11e+OO 8.21e-01 6.39e-01 4.98e-01 3.88e-01 3.02e-01 1.83e-01 1.11e-01 6.74e-02 4.09e-02 2.55e-02 1.99e-02 1.50e-02 9.12e-03 5.53e-03 3.35e-03 2.84e-ci3 2.40e-03 2.03e-03 1.23e-03 7.49e-04 4.54e-04 2.75e-04 1.67e-04 1.01e-04 6.14e-05 3.73e-05 2.26e-05 1.37e-05 8.31e-06 5.04e-06 3.06e-06 1.86e-06 1.13e-06 6.83e-07
- 4:14e:o7 2.51e-07 1.52e-07 9.24e-08 (barns) 2.29e-01 3.38e-01 4.36e-01 4.73e-01 4.82e-01 4.82e-01 4.78e-01 4.32e-01 3.05e-01 1.85e-01 7.40e-02 2.21e-02 3.42e-03 9.86e-04 1.73e-04 3.65e-06 Uncertain~
0.067 0.066 0.056 0.044 0.044*
0.036 0.037 0.038 0.037 0.047 0.047 0.051 0.072 0.072 0.120 0.158 18 (barns)
Uncertain~
Change 2.28e-01 0.067
-0.003 3.37e-01 0.065
-0.003 4.35e-01 0.056
-0.003 4.71e-01 0.042
-0.004 4.81e-01 0.042
-0.004 4.80e-01 0.034
-0.004 4.76e-01 0.036
-0.005 4.29e-01 0.035
-0.005 3.04e-01 0.034
-0.006 1.84e-01 0.044
-0.006 7.35e-02 0.044
-0.006 2.20e-02 0.049
-0.005 3.41e-03 0.071
-0.005 9.82e-04 0.071
-0.005 1.72e-04 0.119
-0.004 3.63e-06 0.158
-0.004
Energy Group 1
2 3
4 5
6 7
8 9
10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 Table 3.1-17 16° (280°) Cycle 9 Cavity Capsule Cross Section Least Squares Adjustments 58Ni (n,p) 58Co Upper Energy (MeV) 1.73e+01 1.49e+01 1.35e+01 1.16e+01 1.00e+01 8.61e+OO 7.41e+OO 6.07e+OO 4.97e+OO 3.68e+OO 2.87e+OO 2.23e+OO 1.74e+OO 1.35e+OO 1.11e+OO 8.21e-01 6.39e-01 4.98e-01 3.88e-01 3.02e-01 1.83e-01 1.11e-01 6.74e-02 4.09e-02 2.55e-02 1.99e-02 1.50e-02 9.12e-03 5.53e-03 3.35e-03 2.84e-03 2.40e-03 2.03e-03 1.23e-03 7.49e-04 4.54e-04 2.75e-04 1.67e-04 1.01e-04 6.14e-05 3.73e-05 2.26e-05 1.37e-05 8.31e-06 5.04e-06 3.06e-06 1.86e-06 1.13e-06 6.83e-07 4.14e-07 --
- 2.51e-07 1.52e-07 9.24e-08 Reference x-section (barns) 2.13e-01 3.67e-01 5.25e-01 5.99e-01 6.24e-01 6.25e-01 6.05e-01 5.05e-01 3.74e-01 2.33e-01 1.16e-01 4.25e-02 1.65e-02 7.17e-03 1.87e-03 7.20e-04 2.10e-04 Fractional Uncertainty 0.160 0.180 0.128 0.112 0.071 0.061 0.071 0.069 0.067 0.103 0.103 0.091 0.141 0.141 0.145 0.180 1.000 19 Adjusted x-section (barns) 2.13e-01 3.67e-01 5.25e-01 5.99e-01 6.23e-01 6.25e-01 6.05e-01 5.04e-01 3.74e-01 2.33e-01 1.16e-01
- 4.25e-02 1.65e-02 7.16e-03 1.87e-03 7.20e-04 2.10e-04 Fractional Uncertainty 0.160 0.180 0.126 0.108 0.065 0.054 0.064 0.060 0.054 0.087 0.087 0.084 0.140 0.140 0.143 0.180 1.000 Fractional Change 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
Table 3.1-18 16° (280°) Cycle 9 Cavity Capsule Cross Section Least Squares Adjustments 238U (n,f) F.P.
Upper Reference Adjusted Energy Energy x-section Fractional x-section Fractional Fractional Groug (MeVl (barns)
Uncertainty (barns)
Uncertainty Change 1
1.73e+01 1.23e+OO 0.080 1.23e+OO 0.080
-0.007 2
1.49e+01 1.13e+OO 0.070 1.12e+OO 0.070
-0.007 3
1.35e+01 9.99e-01 0.060 9.93e-01 0.059
-0.006 4
1.16e+01 9.85e-01 0.047 9.79e-01 0.046
-0.006 5
1.00e+01 9.95e-01 0.040 9.90e-01 0.039
-0.005 6
8.61e+OO 9.91e-01 0.039 9.85e-01 0.038
-0.005 7
7.41e+OO 8.30e-01 0.038 8.25e-01 0.037
-0.006 8
6.07e+OO 5.58e-01 0.036 5.55e-01 0.035
-0.006 9
4.97e+OO 5.46e-01 0.035 5.43e-01 0.034
-0.006 10 3.68e+OO 5.24e-01 0.033 5.21e-01 0.032
-0.007 11 2.87e+OO 5.34e-01 0.032 5.30e-01 0.030
-0.006 12 2.23e+OO 5.13e-01 0.031 5.09e-01 0.030
-0.006 13 1.74e+OO 3.41e-01 0.053 3.38e-01 0.051
-0.011 14 1.35e+OO 5.66e-02 0.073 5.58e-02 0.070
-0.014 15 1.11e+OO 1.56e-02 0.094 1.54e-02 0.092
-0.017 16 8.21e-01 2.56e-03 0.118 2.51e-03 0.115
-0.019 17 6.39e-01 6.86e-04 0.140 6.73ec04 0.137
-0.019 18 4.98e-01 2.88e-04 0.218 2.80e-04 0.216
-0.026 19 3.88e-01 1.73e-04 0.350 1.67e-04 0.347
-0.034 20 3.02e-01 7.87e-05 0.548 7.56e-05 0.546
-0.039 21 1.83e-01 5.92e-05 0.812 5.72e~05 0.811
-0.034 22 1.11e-01 5.60e-05 1.000 5.60e-05 1.000
-0.001 23 6.74e-02 5.97e-05 1.000 5.97e-05 1.000
-0.001 24
- 4.09e-02 7.17e-05 1.000 7.17e-05 1.000
-0.001 25 2.55e-02 8.54e-05 1.000 8.53e-05 1.000
-0.001 26 1.99e-02 9.39e-05 1.000 9.39e-05 1.000
~0.001 27 1.50e-02 9.02e-05 1.000 9.01e-05 1.000
-0.001 28
- 9.12e-03 9.03e-05 1.000 9.03e-05 1.000
-0.001 29 5.53e-03 1.22e-06 1.000 1.22e-06 1.000 0.000 30 3.35e-03 1.00e-35 1.000 1.00e-35 1.000 0.000 31 2.84e-03 1.00e~35 1.000 1.00e-35 1.000 0.000 32 2.40e-03 3.41e-09 1.000 3.41e-09 1.000 0.000 33 2.03e-03 3.04e-04 1.000 3.04e-04 1.000
-0.001 34 1.23e-03 8.78e-04 1.000 8.75e-04 1.000
-0.004 35 7.49e-04 1.56e-03 1.000 1.55e-03 1.000
-0.007 36 4.54e-04 1.48e-05 1.000 1.48e-05 1.000 0.000 37 2.75e-04 2.09e-05 1.000 2.09e-05 1.000 0.000 38 1.67e-04 5.80e-06 1.000 5.80e-06 1.000 0.000 39 1.01e-04 5.90e-05 1.000 5.90e-05 1.000 0.000 40 6.14e-05 1.32e-05 1.000 1.32e-05 1.000 0.000 41 3.73e-05 2.37e-05 1.000 2.37e-05 1.000 0.000 42 2.26e-05 3.19e-04 1.000 3.19e-04 1.000
-0.001 43 1.37e-05 2.06e-06 1.000 2.06e-06 1.000 0.000 44 8.31e-06 1.16e-04 1.000 1.16e-04 1.000 0.000 45 5.04e-06 5.77e-06 1.000 5.77e-06 1.000 0.000 46 3.06e-06 5.90e-06 1.000 5.89e-06 1.000 0.000 47 1.86e-06 6.96e-06 1.000 6.96e-06 1.000 0.000 48 1.13e-06 8.56e-06 1.000 8.56e-06 1.000 0.000 49 6.83e-07 1.07e-05 1.000 1.07e-05 1.000 -
0.000 50
- 4.14e-07 1.46e~o5 1.000 1.46e-05 1.000 0.000 51 2.51e-07 1.82e-05 1.000 1.82e-05 1.000 0.000 52 1.52e-07 2.27e-05 1.000 2.27e-05 1.000 0.000 53 9.24e-08 4.47e-05 1.000 4.47e-05 1.000 0.000 20
~
~ ~'
Table 3.1-19 16° (280°) Cycle 9 Cavity Capsule Cross Section Least Squares Adjustments 237Np (n,f) F.P.
Upper Reference Adjusted Energy Energy x-section Fractional x-section Fractional Fractional GrouQ (MeVl (barns)
Uncertain~
(barns)
Uncertain~
Change 1
1.73e+01 2.22e+OO 0.154 2.35e+OO 0.150 0.055 2
1.49e+01 2.13e+OO 0.148 2.25e+OO 0.144 0.056 3
1.35e+01 2.08e+OO 0.142 2.20e+OO 0.137 0.057 4
1.16e+01 2.11e+OO 0.134 2.23e+OO 0.129 0.058 5
1.00e+01 2.18e+OO 0.127 2.31e+OO 0.122 0.058 6
8.61e+OO 2.24e+OO 0.120 2.37e+OO 0.114 0.059 7
7.41e+OO 1.96e+OO 0.112 2.07e+OO 0.106 0.059 8
6.07e+OO 1.49e+OO 0.103 1.58e+OO 0.097 0.059 9
4.97e+OO 1.54e+OO 0.099 1.63e+OO 0.092 0.060 10 3.68e+OO 1.62e+OO 0.099 1.72e+OO 0.091 0.063 11 2.87e+OO 1.67e+OO 0.099 1.78e+OO 0.091 0.066 12 2.23e+OO 1.67e+OO 0.099 1.78e+OO 0.090 0.068 13 1.74e+OO 1.59e+OO 0.099 1.71e+OO 0.090 0.070 14 1.35e+OO 1.50e+OO 0.099 1.60e+OO 0.089 0.071 15 1.11e+OO 1.37e+OO 0.099 1.47e+OO 0.089 0.073 16 8.21e-01 1.07e+OO 0.099 1.15e+OO 0.089 0.073
- 17.
6.39e-01 6.45e-01 0.102 6.92e-01 0.092 0.074 18 4.98e-01 2.83e-01 0.115 3.06e-01 0.104 0.080 19 3.88e-01 1.06e-01
. 0.128 1.15e-01 0.118 0.084 20 3.02e-01 4.55e-02 0.150 4.95e-02 0.140 0.088 21 1.83e-01 2.30e-02 0.180
- 2.50e-02 0.172 0.087 22 1.11e-01 1.48e-02 0.211 1.60e-02 0.205 0.081 23 6.74e-02 1.18e-02 0.242 1.27e-02 0.238 0.071*
24 4.09e-02 1.04e-02 0.313 1.05e-02 0.313 0.004 25 2.55e-02 9.75e-03 0.307 9.79e-03 0.307 0.004 26 1.99e-02 9.49e-03 0.303 9.53e-03 0.303 0.004 27 1.SOe-02 9.19e-03 0.297 9.23e-03 0.297 0.004 28 9.12e-03 8.77e-03 0.289 8.81e-03 0.289 0.004 29 5.53e-03 8.83e-03 0.281 8.87e-03 0.281 0.004 30 3.35e-03 9.32e-03 0.276 9.36e-03 0.276 0.004 31 2.84e-03 1.04e-02 0.273 1.04e-02 0.273 0.004 32 2.40e-03 7.54e-03 0.271 7.57e-03 0.271 0.004 33 2.03e-03 1.23e-02 0.266 1.24e-02 0.266 0.004 34 1.23e-03 1.46e-02 0.258 1.46e-02 0.258 0.004 35 7.49e-04 1.18e-02
- 0.250 1.19e-02 0.250 0.004 36 4.54e-04 1.89e-02 0.243 1.90e-02 0.243 0.004 37 2.75e-04 4.55e-02 0.235 4.57e-02 0.235 0.004 38 1.67e-04 2.04e-02 0.228 2.05e-02 0.228 0.004 39 1.01e-04 2.48e-03 0.222 2.49e-03 0.222 0.003 40 6.14e-05 1.27e-01 0.219 1.27e-01 0.219 0.003 41 3.73e-05 5.36e-02 0.216 5.37e-02 0.216 0.003 42 2.26e-05 1.49e-03 0.212 1.49e-03 0.212 0.002 43 1.37e-05 3.68e-03 0.209 3.69e-03 0.209 0.002 44 8.31e-06 1.04e-02 0.206 1.04e-02 0.206 0.002 45 5.04e-06 6.21e-03 0.203 6.22e-03 0.203 0.001 46 3.06e-06 1.34e-03 0.200 1.34e-03 0.200 0.001 47 1.86e-06 1.33e-02 0.197 f33e-02 0.197 0.001 48 1.13e-06 1.61e-03 0.194 1.61e-03 0.194 0.001 49 6.83e-07 1.49e-02 0.190 1.49e-02 0.190 0.000
--50
-4.14e-07
-. 4.33e-03 0.187 4.33e-03 0.187 0.000 51 2.51e-07 5.61e-03 0.184 5.61e-03 0.184 0.000 52 1.52e-07 7.53e-03 0.181 7.54e-03 0.181 0.000 53 9.24e-08 1.68e-02 0.100 1.68e-02 0.100 0.000 21
~.
Table 3.1-20 16° (280°} Cycle 9 Cavity Capsule Cross Section Least Squares Adjustments 59Co (n,y) 6°Co Upper Reference Adjusted Energy Energy x-section Fractional x-section Fractional Fractional GrouQ (MeV)
(barns)
Uncertainty (barns)
Uncertainty Change 1
1.73e+01 6.79e-04 0.866 6.79e-04 0.866 0.000 2
1.49e+01 8.83e-04 0.800 8.83e-04 0.800 0.000 3
1.35e+01 7.83e-04 0.728 7.83e-04 0.728 0.000 4
1.16e+01 6.48e-04 0.641 6.48e-04 0.641 0.000 5
1.00e+01 6.41e-04 0.553 6.41e-04 0.553 0.000 6
8.61e+OO 7.28e-04 0.466 7.28e-04 0.466 0.000 7
7.41e+OO 9.40e-04 0.364 9.40e-04 0.364 0.000 8
6.07e+OO 1.19e-03 0.297 1.19e-03 0.297 0.000 9
4.97e+OO 1.58e-o3 0.288 1.58e-03 0.288 0.000 10 3.68e+OO 2.11e-03 0~278 2.11e-03 0.278 0.000 11 2.87e+OO 2.61e-03 0.270 2.61e-03 0.270 0.000 12 2.23e+OO 3.24e-03 0.261 3.24e-03 0.261 0.000 13 1.74e+OO 4.22e-03 0.252 4.22e-03 0.252 0.000 14 1.35e+OO 5.80e-03 0.244 5.80e-03 0.244 0.000 15 1.11e+OO 6.45e-03 0.235 6.45e-03 0.235 0.000 16 8.21e-01 6.63e-03 0.226 6.63e-03 0.226 0.000 17 6.39e-01 7.07e-03 0.217 7.07e-03 0.217 0.000 18 4.98e-01 7.79e-03 0.208 7.79e-03 0.208 0.000 19 3.88e-01 8.77e-03 0.199 8.78e-03 0.199 0.000 20 3.02e-01 1.10e-02 0.186 1.10e-02 0.186.
0.000 21 1.83e-01 1.57e-02 0.168 1.57e-02 0.168 0.000 22 1.11e-01 1.29e-02 0.151 1.29e-02 0.151 0.000 23 6.74e-02 1.46e-02 0.143 1.46e-02 0.143 0.001 24 4.09e-02 2.84e-02 0.137 2.84e-02 0.137 0.001*
25 2.55e-02 2.94e-02 0.132 2.95e-02 0.132 0.001 26 1.99e-02 4.90e-02 0.128 4.91e-02 0.128 0.001 27 1.50e-02 5.00e-02 0.122 5.01e-02 0.122 0.002 28 9.12e-03 5.44e-02 0.115 5.45e-02 0.115 0.003 29 5.53e-03 2.28e-01 0.108 2.28e-01 0.108 0.003 30 3.35e-03 1.31e-01 0.104 1.32e-01 0.104 0.004 31 2.84e-03 4.18e-02 0.102 4.20e-02 0.101 0.004 32 2.40e-03 9.79e-03 0.099 9.83e-03 0.099 0.005 33 2.03e-03 2.03e-02 0.095 2.04e-02 0.094 0.005 34 1.23e-03 1.49e-02 0.088 1.50e-02 0.087 0.006 35 7.49e-04 3.56e-02 0.081 3.59e-02 0.080 0.006 36 4.54e-04 1.32e-01 0.074 1.33e-01 0.073 0.007 37 2.75e-04 1.38e+OO 0.067 1.38e+OO 0.066 0.006 38 1.67e-04 1.12e+02 0.060 1.13e+02 0.059 0.007 39 1.01e-04 3.89e+OO 0.059.
3.91e+OO 0.058 0.006 40 6.14e-05 1.83e+OO 0.058 1.84e+OO 0.057 0.005 41 3.73e-05 1.64e+OO 0.056 1.64e+OO 0.056 0.005 42 2.26e"05 1.76e+OO 0.055 1.77e+OO 0.055 0.004 43 1.37e-05 2.06e+OO 0.054 2.07e+OO 0.054 0.003 44 8.31e-06 2.51e+OO 0.053 2.52e+OO 0.053 0.002 45 5.04e-06 3.13e+OO 0.051 3.14e+OO 0.051 0.002 46 3.06e-06 3.95e+OO 0.050 3.96e+OO 0.050 0.001 47 1.86e-06 5.02e+OO 0.049 5.03e+OO 0.049 0.001 48 1.13e-06 6.41e+OO 0.048 6.41e+OO 0.048 0.000 49 6.83e-07 8.20e+OO
.. 0.047 8.20e+OO 0.047 0.000 50 4.14e-07 1.13e+01 0.045 1.13e+01 0.045 0.000 51 2.51e-07 1.42e+01 0.044 1.42e+01 0.044 0.000 52 1.52e-07 1.77e+01 0.043 1.77e+01 0.043
-0.001 53 9.24e-08 3.50e+01 0.031 3.50e+01 0.031
-0.001 22
-~
.J.;.-
Table 3.1-21 16° (280°) Cycle 9 Cavity Capsule Cross Section Least Squares Adjustments 235U (n,f) F.P.
Upper Reference Adjusted Energy Energy x-section Fractional x-section Fractional Fractional Grou(2 (MeV>
(barns)
Uncertainty (barns)
Uncertainty Change 1
1.73e+01 2.08e+OO 0.059 2.07e+OO 0.059 0.000 2
1.49e+01 2.05e+OO 0.040 2.05e+OO 0.040 0.000 3
1.35e+01 1.80e+OO 0.040 1.80e+OO 0.040 0.000 4
1.16e+01 1.73e+OO 0.040 1.73e+OO 0.040 0.000 5
1.00e+01 1.76e+OO 0.035 1.76e+OO 0.035 0.000 6
8.61e+OO 1.74e+OO 0.035 1.74e+OO 0.035 0.000 7
7.41e+OO 1.38e+OO 0.035 1.38e+OO 0.035 0.000 8
6.07e+OO 1.06e+OO 0.035 1.06e+OO 0.035 0.000 9
4.97e+OO 1.11e+OO 0.030 1.11e+OO 0.030 0.000 10
- 3.68e+OO 1.18e+OO 0.030 1.18e+OO 0.030 0.000 11 2.87e+OO 1.25e+OO 0.030 1.25e+OO 0.030 0.000 12 2.23e+OO 1.27e+OO 0.023 1.27e+OO 0.023 0.000 13 1.74e+OO 1.24e+OO 0.025 1.23e+OO 0.025 0.000 14 1.35e+OO
- 1.2oe+oo 0.025 1.20e+OO 0.025 0.000 15 1.11e+OO 1.17e+OO 0.027 1.16e+OO 0.027
-0.001 16 8.21e-01 1.11e+OO 0.035 1.11e+OO 0.035
-0.001 17 6.39e-01 1.13e+OO.
0.035 1.12e+OO 0.035
-0.001 18 4.98e-01 1.18e+OO 0.033 1.17e+OO 0.033
-0.001 19 3.88e-01 1.22e+OO 0.030 1.22e+OO 0.030
-0.00f 20 3.02e-01 1.30e+OO 0.028 1.30e+OO 0.028
-0.001 21 1.83e-01 1.44e+OO 0.033 1.44e+OO 0.033
- -0.001 22 1.11e-01 1.61e+OO 0.027 1.60e+OO 0.027
-0.004 23 6.74e~o2 1.82e+OO 0.030 1.81e+OO 0.030
-0.005 24 4.09e-02 2.04e+OO 0.030 2.03e+OO 0.030
-0.006 25 2.55e-02 2.26e+OO 0.037 2.24e+OO 0.037
-0.008
- .26 1.99e-02 2.45e+OO 0.037 2.43e+OO 0.037
-0.008 27 1.50e-02 2.84e+OO 0.039 2.82e+OO 0.039
-0.008 28 9.12e-03 3.30e+OO 0.050 3.27e+OO 0.050
-0.009 29 5.53e-03 4.38e+OO 0.050 4.34e+OO 0.050
-0.009 30 3.35e-03 4.97e+OO 0.052 4.93e+OO 0.052
-0.009 31 2.84e-03 5.44e+OO 0.058 5.39e+oo*
0.058
-0.009 32 2.40e-03 5.25e+OO 0.058 5.20e+OO 0.058
-0.009 33 2.03e-03 6.67e+OO 0.058 6.61e+OO 0.058
-0.009 34 1.23e-03 8.68e+OO 0.037 8.61e+OO 0.037
-0.008 35 7.49e-04 1.30e+01 0.032 1.29e+01 0.032
-0.006 36 4.54e-04 1.32e+01 0.031 1.32e+01 0.031
-0.006 37 2.75e-04 2.09e+01 0.031 2.08e+01 0.031
-0.006 38 1.67e-04 2.14e+01 0.032 2.13e+01 0.032
-0.006 39 1.01e-04 2.39e+01 0.031 2.38e+01 0.031
-0.006 40 6.14e-05 4.41e+01 0.030 4.39e+01 0.030
-0.006 41 3.73e-05 4.90e+01 0.028 4.87e+01 0.028
-0.006 42 2.26e-05 4.98e+01 0.026 4.96e+01 0.026
-0.005 43 1.37e-05 7.76e+01 0.026 7.72e+01 0.026
-0.005 44 8.31e-06 2.12e+01 0.027 2.11e+01 0.026
-0.005 45 5.04e-06 1.82e+01 0.022 1.81e+o1*
0.022
-0.004 46 3.06e-06 1.44e+01 0.022 1.44e+01 0.022
-0.003 47 1.86e-06.
2.90e+01 0.022 2.89e+01 0.022
-0.004 48 1.13e-06 6.52e+01 0.015 6.50e+01 0.015
-0.002 49 g.83e-07 7-.92e+01 0.004 7.92e+01 0.004 0.000 50 4.14e-07 1.92e+02 0.003 1.92e+02 0.003 0.000 51 2.51e-07 1.88e+02 0.003 1.88e+02 0.003 0.000 52 1.52e-07 2.39e+02 0.003 2.39e+02 0.003 0.000 53 9.24e-08 5.43e+02 0.003 5.43e+02 0.003 0.000 23
Request for Additional Information 3.2 The WCAP-14557 Chapter 6 FERRET adjustments result in a -5% decrease in all of the E> 1. 0 Me V fluence measurements and, also, in the calculated fluence. Provide a technical justification/explanation for this FERRET reduction in both the calculations and measurements.
CPCo Response The data base of MIC ratios of unadjusted reaction rates provided in Table 7.2-1 of WCAP-14557, Revision 1 implies an average bias factor (K) of 0.879 +/- 0.072 if all measured reaction rates are treated equally. On an individual reaction rate basis, the average M/C ratios range from 0.836 to 0.942 from Table 7.2-1 as follows:
63Cu (n,a) 46Ti (n,p) 54Fe (n,p) 58Ni (n,p) 23au (n,f) 231Np (n,f) 0.922 +/- 0.046 0.942 +/- 0.049 0.836 +/- 0.033 0.843 +/- 0.026 0.847 +/- 0.079 0.880 +/- 0.101 In the response to Request 2.10, to be provided in a future submittal, it will be shown that a bias seems to exist between the high energy threshold 63Cu (n,a) and 46Ti (n,p)
M/C ratios and the M/C ratios determined from the remainder of the reaction rate database. This observation is particularly clear in the case of the in-vessel capsules.
When the 63Cu (n,a) and 46Ti (n,p) reacti.ons are excluded, the average bias factor (K) based on the unadjusted reaction rate comparisons becomes 0.851 +/- 0.066. The corresponding M/C bias factor obtained from the least squares adjustment evaluation*
was 0.831 +/- 0.067, as reported in Table 7.1-1 of WCAP-14557, Revision 1.
In performing the least squares adjustment of the data sets, individual reaction rates are weighted not only by the various uncertainties in measurements, cross-sections, and calculated neutron spectrum, but also by the degree of spectrum coverage afforded by the threshold reactions. Due to the sparsity of neutrons at the high energies influencing the response of the 63Cu (n,a) and the 46Ti (n,p) sensors, this spectral weighting tends to place more emphasis on the reactions with the lower thresholds. Therefore, in the.
least squares adjustment, the high threshold 63Cu (n,a) and the 46Ti (n,p) reactions tend to be de-emphasized while the remaining reactions tend to carry more weight. As a result of the spectral weig.hting, the b,ias factor of 0.831 +/- 0.067 obtained from the least squares adjustment tends to be in agreement with the 0.851 +/- 0.066 value obtained from the unadjusted M/C comparisons with the exclusion of the 63Cu (n,a) and 46Ti (n,p) reactions.
24
Request for Additional Information 3.3 Noting that the same DORT calculation is being. used to calculate the dosimeter reaction rate and the dosimeter cross section, how is the correlation between uncertainties in these two parameters accounted for in the FERRET analysis?
CPCo Response The dosimetry cross-sections used in the least squares adjustment analyses are obtained in a 620 group format from RSIC DATA LIBRARY COLLECTION DLC-178, "SNLRML Recommended Dosimetry Cross-Section Compendium", July 1994. The calculated DORT spectrum at the sensor set location is used, on a relative basis only, to provide a group collapse to the 53 group structure used in the least squares adjustment The uncertainty in the spectral shape does not enter into this group collapsing procedure.
The DORT calculated absolute spectrum is then used in conjunction with the 53 group cross-sections to compute the calculated reaction rate for each sensor. The uncertainty in the calculated spectrum is introduced into this part of the calculation as discussed *in the response to Request 3:5.
25
Request for Additional Information 3.4 Recogni~ing the substantial unc;ertainty in the cross section covariance data, what is the effect on the FERRET fluence adjustment of taking the covariances to be zero? Are the cross section covariances available for all dosimeter cross sections and, if not, how are these cross sections treated?
3.5 Provide a quantitative basis for the FERRET methodology assumptions concerning the specific form of the spectrum correlation matrix, Puu and assumed values of the parameters Band y for application to the Palisades in-vessel and cavity dosimetry? Why doesn't the correlation matrix allow for anti-correlation? What is the sensitivity of the FERRET fluence adjustment to these assumptions?
3.6
. Provide an analysis indicating the sensitivity of the FERRET -5% fluence 3.9 reduction to increasing and decreasing the input uncertainty estimates by a factor of two.
The FERRET analysis determines the dosimeter fluence using an initial fluence guess based on the DORT calculation. If the fluence determined by.
FERRET is then used as a more accurate initial fluence guess for a
- subsequent FERRET calculation, how does the fluence determined by this second FERRET calculation compare to the DORT calculation and the first FERRET calculation. Is the convergence error, indicated by the difference between the two FERRET calculations, small compared to the 5% FERRET fluence adjustment?
CPCo Response These four requests are combined so that the sensitivity analysis of the least squares adjustment procedure results can be shown as a whole.. However, each requestwill be addressed individually as necessary for clarification. Tables 3.4-1 and 3.4-2 provide
- the results of the studies requested above for the in-vessel wall capsule W290-9, irradiated during Cycle 9, and ex-vessel capsule 16° (280°) Cycle 9. It should be noted that changing the least squares adjustment parameters has little effect on the flux but impacts the calculated uncertainty.
3.4 Are the cross section covariances available for all dosimeter cross sections and, if not, how are these cross sections treated?
Covariances are available for all dosimeter cross sections from "SNLRML Recommended Dosimetry Cross Section Compendium" Oak Ridge National Laboratory, July 1994.
26
3.5 Provide a quantitative basis for the FERRET methodology assumptions concerning the specific form of the spectrum correlation matrix, Puu and assumed values of the parameters 8 and y for application to the Palisades in-vessel and cavity dosimetry? Why doesn't the correlation matrix allow for anti-correlation?
A detailed covariance matrix is constructed as a sum of its components:
M = L M(i) i Eq. 3.5-1 where each component, M(I), represents a source of uncertainty that is independent (uncorrelated) from other sources. Each component can then be specified element by element {M99.} or in terms of fractional uncertainties {R9} and a correlation matrix {P119,}:
Eq. 3.5-2 In the absence of a detailed covariance matrix, i.e. not every source of uncertainty is specifically known, Equation 3.5-2 may be replaced by:
Eq. 3.5~3 where Rn (independent of g and g') specifies an overall fractional normalization uncertainty (i.e., complete correlation) for the set of values. The fractional uncertainties Ru specify. additional random uncertainties for group gthat are correlated with a correlation matrix given by:
p gg' =. [1-6] Ogg' + e e -H Eq. 3.5-4 where:
. (g-g ')2 H=--
2 y2 Eq. 3.5-5 The first term in the correlation matrix equation {i599.} specifies purely random uncertainties, while the second term describes short range correlations over a group range y (8 specifies the strength of the latter term). The value of i5 is 1 when g = g'and 0 otherwise. This inform_ation Vilas based on the code development of F. Schmittroth 1.
1 Schmittroth, F., "FERRET Adjustment Code - Status /Use", Proceedings of the 4th ASTM-EURATOM Symposium on Reactor Dosimetry", NUREG/CP-0029, NRC, Washington D.C., July 1982.
27
Anti-correlations are physically undefined as given in Equations 3.5-2 and 3.5-3 defining the covariance matrix (a matrix of the absolute magnitude as defined by covariance).
However, varying the values of the strength {8} and range {y} within the physical bounds is presented in Tables 3.4-1 and 3.4-2-for the in-vessel wall capsule W290-9 and ex-vessel capsule 16° (280°) Cycle 9, respectively.
3.9 Is the convergence error, indicated by the difference between the two FERRET calculations, small compared to the 5% FERRET nuence adjustment?
The data presented in Tables 3.4"."1 and 3.4-2 show that the convergence error is very small compared to the uncertainty in the adjusted flux and to "5% FERRET fluence adjustment".
28
Table 3.4-1 In-vessel Capsule W290-9 RAI
<1> (E>1.0 MeV) 1o Fractional Issue Description n/cm2s Uncertainty Change Reported2 Adjusted ct> (E>1.0 MeV) 3.123e+10 7%
3.4 X-section covariances = 0 3.081e+10 6%
-0.013 3.5 Spectrum Correlation Matrix 8 = 1, y =doubled 3.183e+10 6%
0.019.
8 = 1, y = nominal 3.111e+10 7%
-0.004 8 = 1, y = halved 3.136e+10 8%
0.004 8 = nominal, y = doubled 3.190e+10 6%
0.041 8 = nominal, y = halved 3.139e+10 8%
0.005
- e. = 0, v = doubled 3.223e+10 7%
0.032 8 = 0, y = nominal 3.223e+10 7%
0.032 8 = 0, v= halved 3.223e+10 7%
0.032 3.6 Uncertainty Sensitivity X-section = doubled 3.094e+10 12%
-0.009 Dosimetry = doubled X-section = nominal 3.196e+10 10%
0.023 Dosimetry = doubled X-section = halved 3.333e+10 7%
0.067 Dosimetry = doubled X-section = doubled 3.097e+10 8%
-0.008 Dosimetry = nominal X-section =halved 3.227e+10 5%
0.033 Dosimetry = nominal X-section = doubled 3.150e+10 6%
0.009 Dosimetry = halved X-section = nominal 3.137e+10 5%
0.004 Dosimetry = halved.
X-section = halved 3.188e+10 4%
0.021 Dosimetry= halved 3.9-Input Spectrum Iteration 3.072e+10 7%
-0.016 2
WCAP-14557, Rev 1 -Table 5.2-3 29
Table 3.4-2 Ex-vessel Capsule 16° (280°) Cycle 9 RAI
(E>1.0 MeV) 1a Fractional*
Issue Description n/cm2s Uncertain~
Change Reported3 Adjusted (E>1.0 MeV) 8.560e+08 8%
3.4 X-section covariances = 0 8.715e+08 7%
0.018 3.5 Spectrum Correlation Matrix e = 1, v = doubled 8.582e+08 6%
0.003 e = 1, v = nominal 8.566e+08 8%
0.001 e = 1, v = halved 8.503e+08 10%
-0.007 e = nominal, v = doubled 8.629e+08 7%
0.008 e = nominal, v = halved 8.472e+08 10%
-0.010 e = 0, v = doubled 8.082e+08 10%
-0.056 e = 0, v = nominal 8.082e+08 10%
-0.056 e = 0, v =halved 8.082e+08 10%
-0.056 3.6 Uncertainty Sensitivity X-section = doubled 8.671e+08 14%
0.013 Dosimetry = doubled X-section = nominal 8.607e+08 11%
0.005 Dosimetry = doubled X-section = halved 8.655e+08 8%
0.011 Dqsimetry = doubled X-section = doubled 8.627e+08 10%
0.008 Dosimet,.Y = nominal X-section = halved 8.502e+08 6%
-0.007 Dosimetry = nominal X-section = doubled 8.494e+08 8%
-0.008 Dosimetry = halved X-section = nominal 8.452e+08 6%
-0.013 Dosimetry = halved X-section = halved 8.338e+08 5%
-0.026 Dosimetry = halved 3.9 Input Spectrum Iteration 8.656e+08 8%
0.011 3
WCAP-14557, Rev 1 - Table 6.2-10 30
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Request for Additional Information
- 3. 7 The spatial dependence of the dosimeter crossBections is determined by the local spectrum and should be unique for a given location. In the FERRET analysis, is a unique dosimeter reaction cross section determined for each of the following locations: (1) the accelerated capsule, (2) the inner wall capsule, and (3) the cavity capsule? If not, provide a comparison of the cross sections determined by FERRET at each of these locations for each reaction type.
CPCo Response As illustrated in Figure 3.7-1, the local spectrum atthe capsule locations (accelerated, inner wall, and cavity) are unique and are a function of the local environment. Only the 16° (280°) ex-vessel capsule is presented for the cavity locations.
The spatial dependence of the dosimeter cross sections is shown in Table 3.7-1. This table shows that as the spectrum hardens the cross sections of the threshold reactions increase which is consistent with the reaction cross section data.
Table 3.7-1 In-vessel and Ex-vessel Dosimetry Spectrum Average Cross Sections Spectrum Averag.e Cross Sections (barns)
Accelerated Wall
. 16° (280°)
Reaction In-vessel Capsule In-vessel Capsule Ex-vessel Capsule 63Cu (n,a) 9.31e-04 1.75e-03 7.82e-04 46Ti (n,p) 1.75e-02 2.81e-02 1.12e-02 54Fe (n,p) 1.05e-01 1.42e-01 5.87e-02 58Ni (n,p) 1.33e-01 1.82e-01 8.22e-02 23su (n,f) 4.53e-01 2.95e-01 231Np (n,f) 2.00e+OO 4.23e+OO 59Co (n,y) 5.49e+01 3.94e+01 59Co (n,y) Cd 7.70e+OO 2.55e+01 31
Figure 3.7-1 Fractional cp (n/cm2-sec) as a Function of Energy for the Accelerated, Wall, and 16° Cavity Capsule Locations 16 deg Cavity __ j __ _: *
- 1 i"L.1 I
I ~--*
I I
L...~-
Waif Capsule ccelerated Capsule Normalized to$ (E > 1.0 MeV) 100 Neutron Energy (MeV) 32
1;..,
Request for Additional Information 3.8 How are the paired capsule reaction rates in Table 6. 1-1 used in the FERRET analysis?
CPCo Response For Cycles 8 and 9, the uranium fission monitors contained both depleted and natural uranium foils. In addition, the Cycle 8 monitors and the 270° monitors in Cycle 9 contained paired uranium dosimeters (PUD) in the form of U30 8. The specific activities of 238U and 235U were derived from the measured specific activities of the natural uranium (0.714% 235U) and depleted uranium (0.02% 235U) monitors using the following relations:
- and, where, w/o U 238(nat) w/o U 235(nat)
Anat =
Ai3s +
23 Ai3s w/o U 238( dep) w/o U 5( dep)
Eq. 3.8-1 Anal Adep A23s A23s Adep = Ai3s + Ai3s Eq.' 3.8-2
=
=
=
=
Measured specific activity of the natural uranium monitor (dps/g)
Measured specific activity of the depleted uranium mon.itor (dps/g)
Derived specific activity of 238U (dps/g)
Derived specific activity of 235U (dps/g)
Following decay correction, the reaction rates were utilized in the least squares adjustment procedure to obtain the best solution to the following equation:
R1. = ~ a. "'
L..J 1g* 'l'g g
Eq. 3.8-3
- where, Ri =
A set of measured reaction rates for i sensors.
oi9 =
Multi-group reaction cross-sections for i reactions and g neutron groups.
4>9 =
Calculated multi-group neutron spectrum for g groups at the measurement location.
Thus, the 238U and 235U reaction rates were utilized in solving Equation 3.8-3 for E > 0.4 MeV and thermal energies, respectively.
33
- c. '
Request for Additional Information 3.11 How is the correlation between cross sections determined for two dosimeters using the same nuclide but only one of which has a thermal shield?
. CPCo Response In the least squares adjustment evaluations, one set of multi-group dosimetry cross sections are used for each reaction. Whenever, multiple sets of measurements are supplied for a particular reaction, such as for bare and cadmium covered 59Co (n,y) 6°Co, the single multi-group cross section set is adjusted to establish a best fit to all of the measured data. The dosimetry cross section set is NOT adjusted independently for each measurement of the same reaction. Cross section correction factors for each dosimeter are calculated in the SAND routine based on the cover type and thickness, thus the effect of the thermal shield is accounted for in the correction factors.
34
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ATTACHMENT 2 CONSUMERS POWER COMPANY PALISADES PLANT DOCKET 50-255 CORRECTION TO FIGURE 2.1-1 1 Page
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ATTACHMENT 3 CONSUMERS POWER COMPANY PALISADES PLANT DOCKET 50-255 PALISADES RESPONSE TO VERBAL REQUEST FOR POSSIBLE SOURCES *oF BIAS BETWEEN CALCULATED AND MEASURED FLUENCE 3 Pages
POSSIBLE SOURCES OF BIAS BETWEEN CALCULATED AND MEASURED FLUENCE At the August 14, 1996 meeting between the Consumers Power Co (CPCo) staff and the NRC staff, the NRC requested that CPCo provide an explanation of the possible sources of bias between the calculated fluence and the measured fluence. The following discussion responds to that request, provides a discussion of possible biases, and provides further support for the use of measurement information in arriving at a best estimate fluence for the Palisades reactor pressure vessel.
There are several sources of bias within the fluence calculations that are either unknown, difficult to account for, or created by modeling assumptions. When modeling assumptions incorporate conservative inputs, the calculation is biased up compared to actual fluence values. The following is a summary of the biases that exist, or are believed to exist, within the Palisades reactor pr_essure vessel fluence calculations.
The first three headings are believed to account for more than half of the bias demonstrated by comparison to capsule measurements in the submittal.
Use of Cold Dimensions The use of cold dimensions for the determination of the water thickness between the core and the pressure vessel is a conservative modeling assumption.* The use of cold dimensions allows the plant dimensions to be input directly into the calculation. Hot dimensions must be ~alculated using the cold dimensions, assumed temperatures, and material expansion coefficients. This is not only more complicated, but it adds uncertainty. The use of cold dimension in the fluence calculations is conservative. This effect can be removed bi comparing the final answer to measurements. This effect was estimated to account for a bias of -2.35% in the Technical Evaluation Report, dated September 2, 1994, of Palisades June 5, 1992 fluence submittal.
External Assembly Core Midplane Coolant Temperatures and Bypass Temperature The current fluence calculations set the external assembly core midplane coolant temperature equal to the average of all external assembly core midplane coolant temperatures, and the bypass coolant temperature is conservatively set to the same value. This is an enhancement over the practice used in the past in which the coolant temperature in both locations was assumed to be the core midplane average coolant temperature. The bypass coolant temperature is believed to be below the temperature of the peripheral assemblies, but_ the.
magnitude of this difference is not currently available. *The bypass coolant temperature*biaswas also noted in the Technical Evaluation Report, dated September 2, 1994. That Technical Evaluation Report stated that the bias introduced by using the core midplane coolant average temperature for the bypass was between -5.0% and -6.6%. This portion of the coolant temperature 1
~.
bias has been reduced but not removed. What remains is a conservative modeling input that leads to a known calculation bias.
.The bypass temperature bias estimate made by the NRC did not account for the bias created by the use of higher than actual core coolant temperatures in the external assemblies for low leakage core designs. The changes made to the most recent calculations are an improvement over past practices, but do not remove all of the bias in these coolant temperatures. The use of an external assembly average coolant temperature is an improvement, but the temperatures of the key assemblies are still less than this average. This is a conservative modeling input that leads to a known calculation bias.
Main Feedwater Flow Calibration During the first cycle of operation, a flow strai_ghtener upstream of the flow venturi in one of the two steam generator main feedwater lines dislodged and damaged the venturi. This*venturi had to be removed, fixed, and recalibrated.
The flow straightener that had not failed was also removed to prevent recurrence of a ~imilar incident in the other feedwater line. However, this venturi was not recalibrated for operation without a flow straightener upstream. In May of this year, it was determined through the use of ultrasonic flow sensors that the venturi was reading high and that the actual plant thermal power was 2.4%* lower than believed. This condition leads to a bias in the calculations.
The level of conservatism in this flow venturi measurement changes with time so that the amount of bias introduced by the calibration error changes. Indications are.that the core has been operating below the licensed power level used in the fluence calculations, thereby contributing to a conservative bias in the fluence calculations. The plant intends on recovering the power lost to this calibration error at some point in the future. At that time, the plant will start accounting* for any increase in power in the fluence accumulation rates used to predict future fluence levels. These changes will also be monitored using future measurements.
The following three headings are areas in the calculation that bias is believed to exist.
Neutron Source The neutron source currently being used is the best sourc~ available to the plant. The difficulties of modeling leakage near the periphery of the core, using diffusion based core physics codes, cannot be avoided. The assembly powers of these assemblies are generally in agreement with the core monitoring equipment, however, -these measurements do*not provide the power gradient (or flux gradient) across the assembly, and therefore, cannot be used to validate this information in the calculated neutron source.
2
... t Core and Vessel Geometry Tolerances The as-built or as-designed core and vessel geometries are provided with tolerances. The actual dimensions fall somewhere within these tolerances and may therefore bias the calculations in a way that is not easily accounted for without the use of measurements.
Material Cross-sections The material cross-sections have already been shown to have contained significant biases in earlier versions. It is possible that other biases still exist within the data base or within the process used to develop cross-sections from the data base to be used in LWR fluence evaluations.
It is important to note that at the time of Palisades June 5, 1992 fluence submittal the difference between Palisades calculated bias factor (M/C) and the average bias* factors for all other Westinghouse calculated plants was 19% (1.13 - 0.94). Upon the completion of this most recent reevaluation of Palisades fluehce and the incorporation of ENDF/B-VI cross-sections into other plants' evaluations, this difference has been reduced to 8% (0.91 - 0.83). This improvement was anticipated in the Staff's Technical Evaluation (Table 6) since the effect of the new ENDF/B-Vl cross-sections is greater for plants with thermal shields. The remaining 8% -difference between Palisades and other Westinghouse evaluated plants may still be due in part to the lack of a thermal shield at Palisades.
3
... l ATTACHMENT 4 CONSUMERS POWER COMPANY PALISADES PLANT DOCKET 50-255 SKETCHES OF CORE PERIMETER ASSEMBLIES SHOWING STAINLESS STEEL PIN LOCATIONS 2 Pages
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ATTACHMENT 5 CONSUMERS POWER COMPANY PALISADES PLANT DOCKET 50-255 SKETCHES OF EX-VESSEL DOSIMETRY.
3 Pages
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