Uncertainty of neutron activation calculation based on direct derivative method

Yixin XIAO; Jingyu ZHANG; Xiao YU; Xiaoze ZHAO; Lin TAN; Wangmuhong NI; Juanjuan WANG

doi:10.11889/j.0253-3219.2023.hjs.46.030602

Journals >NUCLEAR TECHNIQUES >Volume 46 >Issue 3 >Page 030602 > Article

NUCLEAR TECHNIQUES
Vol. 46, Issue 3, 030602 (2023)

Uncertainty of neutron activation calculation based on direct derivative method

Yixin XIAO, Jingyu ZHANG^*, Xiao YU, Xiaoze ZHAO, Lin TAN, Wangmuhong NI, and Juanjuan WANG

Author Affiliations

School of Nuclear Science and Engineering, North China Electric Power University, Beijing 102206, China

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DOI: 10.11889/j.0253-3219.2023.hjs.46.030602 Cite this Article

Yixin XIAO, Jingyu ZHANG, Xiao YU, Xiaoze ZHAO, Lin TAN, Wangmuhong NI, Juanjuan WANG. Uncertainty of neutron activation calculation based on direct derivative method[J]. NUCLEAR TECHNIQUES, 2023, 46(3): 030602 Copy Citation Text

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Fig. 1. Network diagram of nuclear reaction

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核素名称 Nuclide name	解析解 Analytical solution / atoms	ABURN计算值 ABURN calculation result / atoms	相对误差 Relative error / %
^53mFe	9.967 918×10⁵	9.970 978×10⁵	0.030 699
⁵³Fe	8.166 458×10¹⁵	8.166 463×10¹⁵	0.000 061
⁵³Mn	9.999 184×10¹⁹	9.999 184×10¹⁹	0
⁵³Cr	3.706 978×10⁹	3.706 977×10⁹	-0.000 018

Table 1. Comparison of nuclide inventory results of ^53mFe decay calculation

核素名称 Nuclide name	解析解 Analytical solution / atoms	ABURN计算值 ABURN calculation result / atoms	相对误差 Relative error / %
^53mFe	-3.223 940×10¹	-3.223 745×10¹	-0.006 054
⁵³Fe	-4.350758×10^-1	-4.350 760×10^-1	0.000 039
⁵³Mn	3.553 318×10^-5	3.547 085×10^-5	-0.175 425
⁵³Cr	3.578 522×10^-2	3.578 498×10^-2	-0.000 668

Table 2. Comparison of nuclide inventory sensitivity coefficient results of ^53mFe decay calculation

核素名称 Nuclide name	解析解 Analytical solution / atoms	ABURN计算值 ABURN calculation result / atoms	相对误差 Relative error / %
^53mFe	-3.748 769×10^-1	-3.748 542×10^-1	-0.006 054
⁵³Fe	-5.059 023×10^-3	-5.059 025×10^-3	0.000 039
⁵³Mn	4.131 767×10^-7	4.124 519×10^-7	-0.175 425
⁵³Cr	4.161 073×10^-4	4.161 045×10^-4	-0.000 668

Table 3. Comparison of nuclide inventory relative uncertainty results of ^53mFe decay calculation

核素名称 Nuclide name	解析解 Analytical solution / atoms	ABURN计算值 ABURN calculation result / atoms	相对误差 Relative error / %
¹⁶O	9.999 979×10¹⁹	9.999 979×10¹⁹	0.000 000
¹⁷O	2.083 392×10¹⁴	2.083 392×10¹⁴	0.000 004
¹⁸O	3.895 470×10⁸	3.895 470×10⁸	0.000 003
¹⁹O	1.625 481×10²	1.625 481×10²	-0.000 003

Table 4. Comparison of nuclide inventory results of ¹⁶O activation calculation

核素名称 Nuclide name	解析解 Analytical solution / atoms	ABURN计算值 ABURN calculation result / atoms	相对误差 Relative error / %
¹⁶O	-2.083 398×10^-6	-2.083 398×10^-6	0.000 001
¹⁷O	9.999 990×10^-1	9.999 989×10^-1	-0.000 002
¹⁸O	9.999 993×10^-1	9.999 993×10^-1	-0.000 002
¹⁹O	9.999 994×10^-1	9.999 994×10^-1	-0.000 002

Table 5. Comparison of nuclide inventory sensitivity coefficient results of ¹⁶O activation calculation

核素名称 Nuclide name	解析解 Analytical solution / atoms	ABURN计算值 ABURN calculation result / atoms	相对误差 Relative error / %
¹⁶O	-1.131 488×10^-6	-1.131 488×10^-6	0.000 001
¹⁷O	5.430 966×10^-1	5.430 966×10^-1	-0.000 002
¹⁸O	5.430 968×10^-1	5.430 968×10^-1	-0.000 002
¹⁹O	5.430 969×10^-1	5.430 969×10^-1	-0.000 002

Table 6. Comparison of nuclide inventory relative uncertainty results of ¹⁶O activation calculation

核素名称 Nuclide name	FISPACT计算值 FISPACT calculation result / atoms	ABURN计算值 ABURN calculation result / atoms	相对误差 Relative error / %
⁵³CR	5.420 000×10²¹	5.422 275×10²¹	0.041 970
⁵³V	1.496 560×10¹³	1.496 552×10¹³	-0.000 561
⁵⁰Sc	1.607 610×10⁹	1.611 207×10⁹	0.223 736
⁵⁰Sc-m	7.174 480×10⁵	7.190 589×10⁵	0.224 538
⁵⁰Ti	2.019 730×10¹⁸	2.024 272×10¹⁸	0.224 896
⁴⁴Ar	4.299 090×10³	4.308 789×10³	0.225 606
⁴⁷K	3.654 510×10²	3.663 002×10²	0.232 365
⁴⁷Ca	3.754 670×10¹²	3.763 383×10¹²	0.232 063
⁴⁹Sc	9.145 860×10⁹	9.180 006×10⁹	0.373 348
⁴⁹Ti	6.375 080×10¹⁶	6.418 506×10¹⁶	0.681 177

Table 7. Comparison of nuclide inventory results of nature Fe activation calculation

核素名称 Nuclide name	FISPACT计算值 FISPACT calculation result / atoms	ABURN计算值 ABURN calculation result / atoms	相对误差 Relative error / %
⁵³CR	7.099 000×10^-3	7.098 079×10^-3	-0.012 974
⁵³V	7.080 000×10^-3	7.079 479×10^-3	-0.007 357
⁵⁰Sc	5.935 000×10^-3	5.946 874×10^-3	0.200 066
⁵⁰Sc-m	5.939 000×10^-3	5.946 873×10^-3	0.132 564
⁵⁰Ti	5.939 000×10^-3	5.946 873×10^-3	0.132 564
⁴⁴Ar	5.937 000×10^-3	5.945 412×10^-3	0.141 688
⁴⁷K	5.937 000×10^-3	5.945 406×10^-3	0.141 588
⁴⁷Ca	5.937 000×10^-3	5.945 406×10^-3	0.141 587
⁴⁹Sc	3.281 000×10^-3	3.284 315×10^-3	0.101 030
⁴⁹Ti	1.457 000×10^-3	1.465 072×10^-3	0.554 015

Table 8. Comparison of nuclide inventory sensitivity coefficient results of^{nature Fe activation calculation}

核素名称 Nuclide name	FISPACT计算值 FISPACT calculation result / atoms	ABURN计算值 ABURN calculation result / atoms	相对误差 Relative error / %
⁵³CR	1.419 800×10^-2	1.419 616×10^-2	-0.012 974
⁵³V	1.416 100×10^-2	1.415 896×10^-2	-0.014 420
⁵⁰Sc	1.186 900×10^-2	1.189 375×10^-2	0.208 510
⁵⁰Sc-m	1.187 800×10^-2	1.189 375×10^-2	0.132 564
⁵⁰Ti	1.187 800×10^-2	1.189 375×10^-2	0.132 564
⁴⁴Ar	1.187 500×10^-2	1.189 082×10^-2	0.133 255
⁴⁷K	1.187 500×10^-2	1.189 081×10^-2	0.133 154
⁴⁷Ca	1.187 500×10^-2	1.189 081×10^-2	0.133 154
⁴⁹Sc	6.561 400×10^-2	6.568 630×10^-2	0.110 185
⁴⁹Ti	2.913 500×10^-2	2.930 144×10^-2	0.571 268

Table 9. Comparison of nuclide inventory relative uncertainty results of nature Fe activation calculation

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