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

NUCLEAR TECHNIQUES, Volume. 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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Fig. 1. Network diagram of nuclear reaction

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

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

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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	-3.223 940×10¹	-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 3. Comparison of nuclide inventory relative uncertainty results of ^53mFe decay calculation

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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 / %
^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 4. Comparison of nuclide inventory results of ¹⁶O activation calculation

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

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

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Table 6. Comparison of nuclide inventory relative uncertainty 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 7. Comparison of nuclide inventory results of nature Fe activation calculation

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

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

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Table 9. Comparison of nuclide inventory relative uncertainty 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

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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

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Paper Information

Category: Research Articles

Received: Aug. 14, 2022

Accepted: --

Published Online: Apr. 17, 2023

The Author Email:

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

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Table 8. Comparison of nuclide inventory sensitivity coefficient results ofnature Fe activation calculation

Table 8. Comparison of nuclide inventory sensitivity coefficient results ofnature Fe activation calculation

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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