236
M. Yamanaka
Table 8.13 Breakdown of the uncertainty [pcm] of k eff in nuclides and nuclear reactions in E3 core
(Ref. [2])
Component Nuclides reaction
versus reaction
Case
II-1
II-2
II-3
II-4
II-5
II-6
HEU
235 U χ
235 U χ
726.35
± 0.25
729.64
± 0.25
731.48
± 0.25
735.58
± 0.25
735.63
± 0.25
735.89
± 0.25
235 U ¯
ν
235 U ¯
ν
379.52
± 0.01
379.50
± 0.01
379.49
± 0.01
379.46
± 0.01
379.47
± 0.01
379.47
± 0.01
235 U (n,
γ )
235 U (n,
γ )
182.95
± 0.01
182.85
± 0.01
182.86
± 0.01
182.70
± 0.01
182.77
± 0.01
182.75
± 0.01
235 U (n,
f )
235 U (n,
f )
126.42
± 0.01
126.44
± 0.01
126.44
± 0.01
126.46
± 0.01
126.45
± 0.01
126.46
± 0.01
235 U (n,
f )
235 U (n,
γ )
109.66
± 0.01
109.76
± 0.01
109.74
± 0.01
109.87
± 0.01
109.82
± 0.01
109.84
± 0.01
27 Al (n,
n)
27 Al (n,
n)
40.01
± 0.01
39.38
± 0.01
40.38
± 0.01
40.25
± 0.01
41.52
± 0.01
41.07
± 0.01
27 Al (n,
n )
27 Al (n,
n )
37.25
± 0.01
37.68
± 0.01
38.11
± 0.01
37.84
± 0.01
37.66
± 0.01
37.64
± 0.01
Polyethylene * 1 H (n,
γ )
* 1 H (n,
γ )
217.00
± 0.01
215.12
± 0.01
214.89
± 0.01
211.03
± 0.01
211.60
± 0.01
212.23
± 0.01
* 1 H (n,
n)
* 1 H (n,
n)
188.58
± 0.03
188.17
± 0.03
187.72
± 0.03
191.17
± 0.03
190.96
± 0.03
190.40
± 0.03
C (n, n) C (n, n) 57.98
± 0.01
57.70
± 0.01
57.90
± 0.01
58.40
± 0.01
58.44
± 0.01
58.42
± 0.01
C (n, n ) C (n, n ) 31.96
± 0.01
32.25
± 0.01
32.29
± 0.01
31.79
± 0.01
32.25
± 0.01
32.37
± 0.01
C (n, n) C (n, n ) -28.83
± 0.01
-28.94
± 0.01
-29.01
± 0.01
-28.70
± 0.01
-28.98
± 0.01
-28.94
± 0.01
Aluminum
sheath
*27 Al (n,
n)
*27 Al (n,
n)
68.36
± 0.02
69.46
± 0.02
68.11
± 0.02
68.72
± 0.02
70.06
± 0.02
69.49
± 0.02
*27 Al (n,
n )
*27 Al (n,
n )
37.69
± 0.01
37.50
± 0.01
37.67
± 0.01
37.61
± 0.01
37.42
± 0.01
37.60
± 0.01
*27 Al (n,
γ )
*27 Al (n,
γ )
30.81
± 0.01
30.43
± 0.01
30.39
± 0.01
29.52
± 0.01
29.66
± 0.01
29.82
± 0.01
Control rod 10 B (n,
γ )
10 B (n,
γ )
1.1E-07 1.1E-03 1.0E-03 3.5E-03 2.9E-03 2.5E-03
*With consideration of thermal scattering law S(α, β)
8.3.2.3 Tolerance of HEU Plate
For the variation in manufacturing tolerance of HEU plates shown in Table 8.1,
uncertainty was evaluated with MCNP6.1 together with ENDF/B-VII.1 with the
same number of histories as was reactivity evaluation, as shown in Tables 8.14 and
8.15. Based on the evaluation of the uncertainty for HEU plates, the uncertainty of the
M. Yamanaka
Table 8.13 Breakdown of the uncertainty [pcm] of k eff in nuclides and nuclear reactions in E3 core
(Ref. [2])
Component Nuclides reaction
versus reaction
Case
II-1
II-2
II-3
II-4
II-5
II-6
HEU
235 U χ
235 U χ
726.35
± 0.25
729.64
± 0.25
731.48
± 0.25
735.58
± 0.25
735.63
± 0.25
735.89
± 0.25
235 U ¯
ν
235 U ¯
ν
379.52
± 0.01
379.50
± 0.01
379.49
± 0.01
379.46
± 0.01
379.47
± 0.01
379.47
± 0.01
235 U (n,
γ )
235 U (n,
γ )
182.95
± 0.01
182.85
± 0.01
182.86
± 0.01
182.70
± 0.01
182.77
± 0.01
182.75
± 0.01
235 U (n,
f )
235 U (n,
f )
126.42
± 0.01
126.44
± 0.01
126.44
± 0.01
126.46
± 0.01
126.45
± 0.01
126.46
± 0.01
235 U (n,
f )
235 U (n,
γ )
109.66
± 0.01
109.76
± 0.01
109.74
± 0.01
109.87
± 0.01
109.82
± 0.01
109.84
± 0.01
27 Al (n,
n)
27 Al (n,
n)
40.01
± 0.01
39.38
± 0.01
40.38
± 0.01
40.25
± 0.01
41.52
± 0.01
41.07
± 0.01
27 Al (n,
n )
27 Al (n,
n )
37.25
± 0.01
37.68
± 0.01
38.11
± 0.01
37.84
± 0.01
37.66
± 0.01
37.64
± 0.01
Polyethylene * 1 H (n,
γ )
* 1 H (n,
γ )
217.00
± 0.01
215.12
± 0.01
214.89
± 0.01
211.03
± 0.01
211.60
± 0.01
212.23
± 0.01
* 1 H (n,
n)
* 1 H (n,
n)
188.58
± 0.03
188.17
± 0.03
187.72
± 0.03
191.17
± 0.03
190.96
± 0.03
190.40
± 0.03
C (n, n) C (n, n) 57.98
± 0.01
57.70
± 0.01
57.90
± 0.01
58.40
± 0.01
58.44
± 0.01
58.42
± 0.01
C (n, n ) C (n, n ) 31.96
± 0.01
32.25
± 0.01
32.29
± 0.01
31.79
± 0.01
32.25
± 0.01
32.37
± 0.01
C (n, n) C (n, n ) -28.83
± 0.01
-28.94
± 0.01
-29.01
± 0.01
-28.70
± 0.01
-28.98
± 0.01
-28.94
± 0.01
Aluminum
sheath
*27 Al (n,
n)
*27 Al (n,
n)
68.36
± 0.02
69.46
± 0.02
68.11
± 0.02
68.72
± 0.02
70.06
± 0.02
69.49
± 0.02
*27 Al (n,
n )
*27 Al (n,
n )
37.69
± 0.01
37.50
± 0.01
37.67
± 0.01
37.61
± 0.01
37.42
± 0.01
37.60
± 0.01
*27 Al (n,
γ )
*27 Al (n,
γ )
30.81
± 0.01
30.43
± 0.01
30.39
± 0.01
29.52
± 0.01
29.66
± 0.01
29.82
± 0.01
Control rod 10 B (n,
γ )
10 B (n,
γ )
1.1E-07 1.1E-03 1.0E-03 3.5E-03 2.9E-03 2.5E-03
*With consideration of thermal scattering law S(α, β)
8.3.2.3 Tolerance of HEU Plate
For the variation in manufacturing tolerance of HEU plates shown in Table 8.1,
uncertainty was evaluated with MCNP6.1 together with ENDF/B-VII.1 with the
same number of histories as was reactivity evaluation, as shown in Tables 8.14 and
8.15. Based on the evaluation of the uncertainty for HEU plates, the uncertainty of the