The Dalat Nuclear Research Reactor (DNRR) was used to test and confirm the k0 factors needed for the k0-standardized neutron activation analysis (k0-NAA) Experimental validation of the k0 factors required by the k0-standardized neutron activation analysis (k0-NAA) using the Dalat Nuclear Research Reactor (DNRR) was done. The new k0 factors of 7 short and medium-lived radionuclides, were evaluated, including: 66Cu, 52V, 38Cl, 134mCs, 128I, 140La, and 56Mn, which were determined at DNRR. Perform the k0-NAA using the new k0 dataset to determine the concentrations of the elements in the reference materials (RMs) against the certified concentration values. The difference between the experimental results of determining the new k0 factors and the reference values (literature) is less than 7%. From there, applying the new k0 factors to k0-NAA at DNRR resulted in the elemental concentrations in the RMs compared to the certified values in the range of 7-11%. Exception for 134mCs, which were biased by 19%. This work conducted the experiments at DNRR, including the characterization of the Channel 7-1; calibration of the gamma-ray spectrometer using the HPGe detector; and the data processing that is required by the k0-NAA method with experimental parameters (neutron field parameters, detector efficiency, corrections, etc.). The "self-characterization" method for Channel 7-1 using synthetic multi-element standard samples (SMELS I) was the first use regarded as simple and convenient experimentally, with results consistent with the conventional method using independent monitors.
To sum up the result of the experimental validation of nuclear data in k0-NAA as using the Dalat nuclear research reactor (DNRR), it can be seen that Table 12 presents the experimentally determined k0 factor of 11 gamma-rays from 7 radionuclides of both short- and medium-lived nuclides using the DNRR. The results are compared with the recommended literature value and k0 reference. It was found that the k0 factors for the short-lived radionuclides 52V at 1434.1 keV and 66Cu at 1039.2 keV, as well as the medium-lived radionuclide 128I, are similar to the k0 factors for short-lived radionuclides 52V at the energy of 1434.1 keV and 66Cu at the energy of 1039.2 keV, as well as medium-lived radionuclides 128I, are determined and are in good agreement with the result of the k0 reference. It is important to note that 52V, 66Cu, and 128I emit only a single gamma ray, and there is no true coincidence effect. The ratio of the experiment to reference is 1.004 for both isotopes. 38Cl and 56Mn, which emit two gamma-rays with a high emission probability, the experimental results for determining the k0 factor are also in good agreement with the k0 reference. The differences between the experiment and reference values are less than 3%. For other radionuclides, such as 140La, which had three different gamma-ray energies, the k0 factor was generally in good agreement compared to the reference information. However, for 134mCs, a medium-lived radionuclide with an energy of 127.5 keV, the experiment value was compared to the k0 reference, and the Exp./Ref ratio. was 8.31E-01. The k0 factor of 134mCs has a high difference with the k0 reference value because this energy is in a low energy region (< 200 keV), and some effects from Compton or low X-ray may influence the results. Thus, 134mCs appear to be not good due to low uncertainty. The determination of the k0 factor measured the absolute uncertainty and was calculated based on the component of parameter error propagation. The uncertainties obtained uncertainties for determining the k0 factor for short- and medium-lived radionuclides were reported in the study.
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lot of neutrons, samples can be neutron activated quickly and effectively [7].
3.2.2 The k0-NAA in Dalat nuclear research reactor
The k0-NAA method has been implemented in the NAA laboratory at DNRR,
and advancements in computer technology, evaluation programs, and laboratory
instrument have led to re-validation of this standardization technique in laboratory.
3.3 Practical Experiment in Dalat nuclear research reactor
3.2.1 Sample preparation
Table 3.2 Sample preparation.
No. Name Type of sample Sample ID Mass (g)
1 IRMM 530R Al-0.1%Au Comparator A0289 0.00411
2 SMELS I Reference Material SM21a 0.03185
3.2.2 Prepare monitors
Table 3.2. Description of sample preparation conditions under the k0-IAEA program.
No
Standard
sample
Code
Matrix
sample
Geometry
Weight of
sample (mg)
1 Al-0.1%Au Au1102 Al-metal Foil 5.510
2 None BLK-1 None None 4000
3 NIST-2711a MO195 Plant leaves Powder/liquid 100.880
Page 19 of 29
4 NIS-1570a SP4 Al-metal Foil 204.200
5 NIST-1566b OT21 Plant leaves Powder/liquid 198.800
6 Al-0.1%Au Au1100 Al-metal Foil/wire 7.200
3.2.3 Measurement of monitors
The samples were measured on a digital signal processing gamma
spectrometer system comprising a 30% efficient HPGe detector (GMX 30190) and a
transistor erasing preamplifier with high count rates, fast changes, and multiple
functions.
3.2.4 The use of specialized program k0-IAEA
To use the k0-NAA method, you need to do two main things: find out the
neutron spectral paramters at the sample irradiation position and check how well the
gamma spectrometer system records.
Table 3.3. Neutron spectral parameters of sample in channel 7-1 in the thermal column.
Parameter Value Uncertainty
th 3.80E+16 n.cm
-2s-1 1.524E+14 n.cm-2s-1
f 9.86 0.10
-0.0676 0.0006
3.2.5 Sample Irradiation of the seven short-lived radionuclides
Table 3.5. The irradiation, decay and counting times for determination of k0 factor.
Radionuclides Ti(s) Td (s) Tc (s)
Distance to
Detector (mm)
66Cu, 52V
70 s (~30 mg)
5-10 m 300 51
198Au, 38Cl,
134mCs, 128I,
140La, 56Mn
1-2 h 900 51
Table 3.6. SRMs and comparator information.
Sample name Element
Assigned Value
± U mg/kg-1
SMELS Type I
Au 82.7 ± 1.7
Cl 4330 ± 170
Cs 897 ± 37
Cu 3930 ± 120
I 152 ± 5
La 265 ± 10
Mn 113.9 ± 3.3
V 39 ± 1.6
IRMM 530R Al-0.1%Au Au 1003 ± 12
3.2.6 Calibration of neutron spectra in Channel 7-1
Table 3.7. Irradiation channel neutron spectral parameter.
Parameter Value Uncertainty
th (n/m2/s) 3.80E+16 1.524E+15
f 9.86 0.10
Page 20 of 29
-0.0676 0.0006
Table 3.8. Nuclear parameters condition for k0-NAA.
Element X (n, x) Y T1/2 Eγ (keV)
Au 197Au (n, γ) 198Au 2.695 d 411.8
Cl 37Cl (n, γ) 38Cl 37.24 min 1642.7, 2167.4
Cs 133Cs (n, γ) 134mCs 2.903 h 127.5
Cu 65Cu (n, γ) 66Cu 5.12 min 1039.2
I 127I (n, γ) 128I 24.99 min 442.9
La 139La (n, γ) 140La 1.678 d 328.8, 487.0, 596.2
Mn 55Mn (n, γ) 56Mn 2.579 h 846.8, 1810.7
V 51V (n, γ) 52V 3.75 min 1434.1
3.2.7 Irradiation measurement
The HPGe detector was used to measure gamma-rays emitted from the
irradiated samples. The efficiency of absolute full energy peak detection was
calibrated using a standard gamma-ray source of 152Eu, and the efficiency curve at
51 mm to the detector.
Chapter 4: Results and discussion
4.1 Results
The present study focused on determining seven radionuclides using the k0
factors. The α and ƒ values obtained from Table 3.4 were used to calculate the k0
factors by the equation (2.60) and k0 factors were determined using the "bare monitor"
method. It was observed that the α and ƒ values obtained in this study agreed with the
literature values of DNRR [24]. The k0 factors were determined using the "bare
monitor" method. Table 4.1 presents the experimental results of the k0 factor
determination for short- and medium-lived radionuclides using DNRR, and the
obtained values were compared with the k0 references [16]. Regarding the
contribution of the parameters such as sample mass, irradiation time, decay time, and
counting time, are less than 0.1%, Q0 and f are about 1.0%, α is less than 1.5% and
overall, they are about 3.24%, that all of which are in the agreement with the k0
reference as shown in Table 4.3.
Table 4.1. Experimental k0, Au -factors of the short- and medium-lived radionuclides
compared to the k0 reference using Channel 7-1 facility at DNRR.
Nuclides E𝛾 (keV) k0-experiment Uncertainty
k0-Reference
[16]
Exp / Ref
198Au 411.8 - - 1 -
52V 1434.1 1.969E-01 1.237E-02 1.96E-01 1.004
66Cu 1039.2 1.868E-03 1.156E-04 1.86E-03 1.004
38Cl 1642.7 1.893E-03 1.197E-04 1.97E-03 0.961
38Cl 2167.4 2.595E-03 1.635E-04 2.66E-03 0.976
134mCs 127.5 4.768E-03 3.049E-04 5.74E-03 0.831
128I 442.9 1.185E-02 7.582E-04 1.12E-02 1.065
140La 328.8 2.687E-02 1.679E-03 2.87E-02 0.936
140La 487 6.080E-02 3.789E-03 6.37E-02 0.955
140La 1596.2 1.279E-01 8.013E-03 1.34E-01 0.955
56Mn 846.8 4.887E-01 3.028E-02 4.96E-01 0.985
56Mn 1810.7 1.314E-01 8.120E-03 1.35E-01 0.973
Table 4.2. Relative standard uncertainties of parameters in the k0-NAA standardization.
Page 21 of 29
Parameter Contribution
Mass ~0.1%
Q0 ~1.0%
α ~1.5%
f ~1.0%
Efficiency ~2.0%
Concentration ~1.5%
Irradiation time, Decay time, Counting time Less than ~0.1%
Overall ~3.24%
4.2 Discussions
4.2.1 Research results
This section provides a detailed discussion of the experimental k0 factors
obtained in this study. It is divided into three main parts: characterization of the
neutron irradiation, calibration of gamma-ray spectrometers, and validation of the
results using SRMs. Tables and figures are included in this section to support the
discussion, and a summary is provided at the end.
This study used seven short- and medium-lived radionuclides for neutron
activation analysis. These samples were prepared in polyethylene boxes and
irradiated at channel 7-1 of the DNRR for 70 seconds. The FWHM was 1.9 keV at
1132 keV, and the efficiency was calibrated using 152Eu at 51 mm. The HPGe detector
(GMX-30190) was used to count the samples with a relative efficiency of 30%. Decay
times ranged from 5-10 minutes for short-lived radionuclides and 1-2 hours for
medium-lived radionuclides, and the counting time was set at 300 seconds and 900
seconds. All parameters are shown in Tables 3.8, Table 3.9, and Table 3.10. The
accuracy of the reference materials was analyzed with the sample, and the nuclear
reactions necessary for obtaining the results were characterized, particularly the
short-lived irradiation of the SMELS materials. Gamma-ray spectrometers were
calibrated using an HPGe detector (GMX-30190) to calibrate for energy, peak width,
and full energy detection efficiency, as shown in Fig. 21. The calibration results
showed that the value of 𝜙th is 3.80×106 n/m-2.s-1, ƒ is 9.86, and α is -0.0676. The
calibration of the detector's energy efficiency detection and full peak energy was in
good agreement with the standard value of the reference. The accuracy of the detector
response functions for low activity was also calibrated. This allowed for
simultaneously determining several other short-lived or detectable radionuclides
contained elsewhere. However, it is important to consider the setting and self-
grinding of the matrix in the container, and the matrix was kept compact. The volume
in the container is fixed to ensure stability and non-alteration of the matrix in long-
term usage. The ready standard has also fixed the volume that cannot be changed
during transportation and usage of the standard, and natural matrices were used in the
properties as close to the analyzed sample as possible.
Page 22 of 29
Table 4.3. Values of k0,Au determined by this work and the other authors.
Radionuclides
(Energy, keV)
This work
± Unc.
Reference [16]
± Unc.
Reference [26]
± Unc.
IAEA [41]
± Unc.
Reference [42]
± Unc.
52V (1434.1) 1.97E-1 ± 1.24E-2 1.96E-1 ± 2.35E-3 2.00E-1 ± 2.40E-3 1.96E-1 ± 2.35E-3 2.00E-1 ± 2.20E-3
66Cu (1039.2) 1.87E-3 ± 1.16E-4 1.86E-3 ± 9.30E-6 1.76E-3 ± 8.80E-6 1.86E-3 ± 9.30E-6 2.03E-3 ± 2.03E-5
38Cl (1642.7) 1.89E-3 ± 1.2E-4 1.97E-3 ± 2.76E-5 2.30E-3 ± 3.22E-5 1.97E-3 ± 2.76E-5 2.06E-3 ± 2.88E-5
38Cl (2167.4) 2.60E-3 ± 1.64E-4 2.66E-3 ± 3.46E-5 2.72E-3 ± 3.81E-5 2.66E-3 ± 3.46E-5 2.75E-3 ± 3.58E-5
134mCs (127.5) 4.77E-3 ± 3.05E-4 5.74E-3 ± 9.76E-5 5.35E-3 ± 9.10E-5 5.74E-3 ± 6.89E-5 -
128I (442.9) 1.19E-2 ± 7.59E-4 1.12E-2 ± 1.90E-4 1.79E-2 ± 3.04E-4 1.16E-2 ± 1.62E-4 -
140La (328.8) 2.69E-2 ± 1.68E-3 2.87E-2 ± 2.87E-4 2.48E-2 ± 2.48E-4 2.87E-2 ± 2.87E-4 2.83E-2 ± 3.11E-4
140La (487) 6.08E-2 ± 3.79E-3 6.37E-2 ± 5.73E-4 5.77E-2 ± 5.19E-4 6.37E-2 ± 5.73E-4 6.26E-2 ± 6.26E-5
140La (1596.2) 1.28E-1 ± 8.02E-3 1.34E-1 ± 1.47E-3 1.28E-1 ± 1.41E-3 1.34E-1 ± 1.47E-3 1.30E-1 ± 5.20E-4
56Mn (846.8) 4.89E-1 ± 3.03E-2 4.96E-1 ± 2.98E-3 5.01E-1 ± 3.01E-3 4.96E-1 ± 2.98E-3 5.02E-1 ± 5.02E-3
56Mn (1810.7) 1.31E-1 ± 8.13E-3 1.35E-1 ± 5.40E-4 1.38E-1 ± 5.52E-4 1.35E-1 ± 5.40E-4 1.37E-1 ± 1.23E-3
* Remark: Unc. = Absolute uncertainty.
Page 23 of 29
Table 4.4. The comparison of analysis results (mg/kg) based on the experimented
and referenced k0,Au factors.
Elements
Radio-
nuclides
Ce Ue Cr Ur Cc Uc cC/ eC cC/ rC
Using k0,Au factors
(experiment)
Using k0,Au
factors
(reference)
Certified values
Experiment/
Certified
Reference/
Certified
V 52V 38 2 42 2 39 2 0.97 1.08
Cu 66Cu 4284 171 4039 7 3930 118 1.09 1.03
Cl 38Cl 4407 176 4313 173 4330 173 1.02 1.00
Cs 134mCs 934 56 776 47 897 36 1.04 0.87
I 128I 151 8 143 7 152 5 0.99 0.94
La 140La 267 19 254 18 265 11 1.01 0.96
Mn 56Mn 111 3 108 3 114 3 0.97 0.95
Remarks:
Ce and Ue - The experimental concentrations and uncertainties, respectively
obtained using the k0,Au values in this work;
Cr and Ue - The reference concentrations and uncertainties, respectively obtained
using the k0,Au values from references of DeCort, 2003 [17];
Cc and Uc - The certified concentrations and uncertainties of the certified reference
material (SMELS Type-I).
The comparison of the determined k0,Au factors (Ce) experimentally with those
from references (Cr) showed a good agreement with certified values (Cc) for various
elements (see Table 4.4). The ratios Ce/Cc and Cr/Cc, which measure agreement, are
consistently close to one, confirming that both the experimentally determined and
reference k0,Au factors are reliable for analysis of the elemental concentrations of
interest. We carefully considered uncertainty, represented by Ue and Ur for the
experimental and reference k0,Au factors resulted in a high accuracy of the k0-based
method as demonstrated in this study. However, upon closer investigation, there are
slight differences, especially for Cu (this work) and Cs (reference). In these cases,
experimentally determined and reference values deviated from certified values of 9%
and 13%, respectively. This observation suggests a further research to the specific
conditions or factors affecting the determination of k0,Au factors for these elements.
This detailed investigation would be crucial for improving the method and ensuring
higher accuracy for analyses in the future. In summary, the concentrations and
uncertainties of the experimental and reference of k0,Au factors. The value of k0,Au
factors obtained in this work for some short and medium-lived radionuclides (52V,
66Cu, 38Cl, 134mCs, 128I, 140La, and 56Mn) have been assessed by analyzing the
SMELS Type-I. The deviation of the results of analysis for SMELS Type-I with the
experiment and reference k0,Au factors as compared with the certified values were
within ± 9.0% and ± 13.0%, respectively. The comparative results showed that the
experiment k0,Au factors done by this study were acceptable and better agreement
as compared with the reference ones.
Page 24 of 29
4.3 Conclusions and future work
4.3.1 Conclusions
The Dalat Nuclear Research Reactor (DNRR) was used to test and confirm the
k0 factors needed for the k0-standardized neutron activation analysis (k0-NAA)
Experimental validation of the k0 factors required by the k0-standardized neutron
activation analysis (k0-NAA) using the Dalat Nuclear Research Reactor (DNRR) was
done. The new k0 factors of 7 short and medium-lived radionuclides, were evaluated,
including: 66Cu, 52V, 38Cl, 134mCs, 128I, 140La, and 56Mn, which were determined at
DNRR. Perform the k0-NAA using the new k0 dataset to determine the concentrations
of the elements in the reference materials (RMs) against the certified concentration
values. The difference between the experimental results of determining the new k0
factors and the reference values (literature) is less than 7%. From there, applying the
new k0 factors to k0-NAA at DNRR resulted in the elemental concentrations in the
RMs compared to the certified values in the range of 7-11%. Exception for 134mCs,
which were biased by 19%. This work conducted the experiments at DNRR,
including the characterization of the Channel 7-1; calibration of the gamma-ray
spectrometer using the HPGe detector; and the data processing that is required by the
k0-NAA method with experimental parameters (neutron field parameters, detector
efficiency, corrections, etc.). The "self-characterization" method for Channel 7-1
using synthetic multi-element standard samples (SMELS I) was the first use regarded
as simple and convenient experimentally, with results consistent with the
conventional method using independent monitors.
To sum up the result of the experimental validation of nuclear data in k0-NAA
as using the Dalat nuclear research reactor (DNRR), it can be seen that Table 12
presents the experimentally determined k0 factor of 11 gamma-rays from 7
radionuclides of both short- and medium-lived nuclides using the DNRR. The results
are compared with the recommended literature value and k0 reference. It was found
that the k0 factors for the short-lived radionuclides 52V at 1434.1 keV and 66Cu at
1039.2 keV, as well as the medium-lived radionuclide 128I, are similar to the k0 factors
for short-lived radionuclides 52V at the energy of 1434.1 keV and 66Cu at the energy
of 1039.2 keV, as well as medium-lived radionuclides 128I, are determined and are in
good agreement with the result of the k0 reference. It is important to note that 52V,
66Cu, and 128I emit only a single gamma ray, and there is no true coincidence effect.
The ratio of the experiment to reference is 1.004 for both isotopes. 38Cl and 56Mn,
which emit two gamma-rays with a high emission probability, the experimental
results for determining the k0 factor are also in good agreement with the k0 reference.
The differences between the experiment and reference values are less than 3%. For
other radionuclides, such as 140La, which had three different gamma-ray energies, the
k0 factor was generally in good agreement compared to the reference information.
However, for 134mCs, a medium-lived radionuclide with an energy of 127.5 keV, the
experiment value was compared to the k0 reference, and the Exp./Ref ratio. was
8.31E-01. The k0 factor of 134mCs has a high difference with the k0 reference value
because this energy is in a low energy region (< 200 keV), and some effects from
Compton or low X-ray may influence the results. Thus, 134mCs appear to be not good
due to low uncertainty. The determination of the k0 factor measured the absolute
uncertainty and was calculated based on the component of parameter error
propagation. The uncertainties obtained uncertainties for determining the k0 factor for
short- and medium-lived radionuclides were reported in the study.
Page 25 of 29
4.3.2 New points of discussion
To validate the k0 experiment used in my own experiments, I compare them
with those reported by different authors in the field [16, 26, 41, 42]. This will involve
a thorough review of the literature, looking for studies that have used similar reactor
and neutron spectra to those used in my experiments. This comparison will be critical
for validating the nuclear data used in my experiments, as well as for ensuring that
my experimental results are in good agreement with the reference values. Any
discrepancies or differences between my k0 values and those reported in the literature
will need to be carefully investigated, to ensure that my results are as accurate as
possible. In addition to comparing my k0 experiment with those reported in the
literature, I will also need to consider any potential sources of error in my own
experiments. This may involve a careful analysis of the data, looking for any
systematic errors or biases that could affect the accuracy of my results. I will also
need to consider the effects of any uncertainties in the nuclear data used in my
experiments, and to quantify these uncertainties wherever possible.
4.3.2 Future plan
A Future plan in this research area is proposed to investigate and re-determine
the k0 factors of very short-lived radionuclides (less than 20 seconds), such as 77mSe
and 20F as follows:
(1) There is a lack of experimental data for these radionuclides, and additional
experiments are needed to improve their accuracy and reduce the uncertainty
of their k0 values.
(2) Re-determination of k0 factors for radionuclides with high uncertainties, such
as 133Ba is needed. This will help to improve the accuracy of k0 factor and
increase the reliability of the k0-NAA method for the element.
(3) Determination of the k0 factor for 152Eu at low energy (46 keV) is proposed
because it is missing in the current k0 dataset.
Papers published using for the dissertation
1. Ho Manh Dung, Tran Tuan Anh, Tran Quang Thien, Ho Van Doanh, Truong
Truong Son, Phonesavanh Lathdavong, Analysis of automobile window glass
samples by the k0-based Neutron Activation Analysis for forensic applications,
Journal of Radioanalytical and Nuclear Chemistry, Volume 332 (2023) 3493-
3498;
2. Ho Manh Dung, Phonesavanh Lathdavong, A review of nuclear data for the k0-
based neutron activation analysis, Journal of Nuclear Science and Technology,
Vietnam, Vol.9, No. 1 (2019) 28-33;
3. Phonesavanh Lathdavong, Ho Manh Dung, Tran Quang Thien, Doanh Van Ho,
Son Truong Truong, Self-characterization of irradiation facility using synthetic
multi-element standard (SMELS) for the determination of k0-factors of seven
radionuclides of interest, Journal of Nuclear Science and Technology, Vietnam,
accepted for publishing in September 2023;
4. Ho Manh Dung, Tran Tuan Anh, Ho Van Doanh, Tran Quang Thien, Nguyen Thi
Tho, Trinh Van Cuong, Truong Truong Son, Phonesavanh Lathdavong,
Evaluation of “k0-DALAT” software for the k0-Standardized neutron activation
analysis, VINANST-14, Da Lat, 09-10/12/2021.
Page 26 of 29
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