Gamma Spectrometric Efficiency Measurement Uncertainty of 137Cs in the Vegetation Sample
Celal Bayar University Journal of Science
Volume 15, Issue 1, 2019, p 51-55
Doi: 10.18466/cbayarfbe.455494
Y. Agus
Gamma Spectrometric Efficiency Measurement Uncertainty of 137Cs in
the Vegetation Sample
Yusuf Ağuş*
TAEK, Department of Radiation and Accelerator Technologies, Kahramankazan /Ankara, Turkey
*
Received: 28 August 2018
Accepted: 22 January 2019
DOI: 10.18466/cbayarfbe.455494
Abstract
In this study, gamma spectrometric efficiency measurement uncertainty of 137Cs in vegetation sample is
investigated. Each uncertainty component is evaluated and quantified. For this purpose, n-type 70%
efficiency HPGe detector was used. The combined standard uncertainty of 137Cs efficiency was found to be
2.43%.
Keywords: Efficiency Uncertainty, Gamma Spectrometry, Cs-137, Vegetation.
The efficiency measurement uncertainty is an essential
part of the determination of the radioactivity
concentration measurement results. Nuclear analytical
laboratories (NAL’s) must take into account efficiency
measurement uncertainty while preparing radioactivity
concentration uncertainty budget.
Additionally,
measurement uncertainty evaluation is a part of the
ISO/IEC 17025 technical requirements of the NAL’s and
quantifying uncertainty in nuclear analytical
measurements. Therefore, more attention is given to the
evaluation of the measurement uncertainty and the
preparation of uncertainty budget [8-11].
1. Introduction
Artificial radionuclides occur as a result of the nuclear
power plant accidents and nuclear tests. One of these
artificial radionuclides is 137Cs. Due to the relatively high
half-life (T1/2=30.05 years), 137Cs remains in ecosystem
many years after the nuclear tests and accidents [1]. After
the Chernobyl (1986) and Fukushima Daiichi (2011)
nuclear power plant accidents, artificial radionuclides
released and contamination has occurred. Contamination
takes place as deposition of the radionuclides in the air.
Deposited radionuclides in the soil pass into the
vegetation. Radionuclides in the vegetation pass into the
human by the consumption of the vegetation within the
food chain [2-6]. Therefore, determination and the
evaluation of the contamination level and radioactivity
concentrations for natural and artificial radionuclides are
important for ensuring public health and food sector
workers safety.
In this study, components of the FEP efficiency
measurement uncertainty of the 137Cs in vegetation
sample were evaluated and quantified using gamma
spectrometric method. Contribution of the uncertainty
components to the combined standard uncertainty
evaluated and expanded uncertainty obtained multiplying
by coverage factor k.
Gamma spectrometric analysis with the High Purity
Germanium (HPGe) semiconductor detectors is a
powerful
radioanalytical
analysis
technique.
Determination of the radioactivity concentration of the
gamma-emitting radionuclide in the sample is the main
goal of the gamma spectrometric analysis. Additionally,
full energy peak (FEP) efficiency and photon emission
intensities (f) can be obtained with this technique [7].
The measurement of radioactivity concentration via
gamma spectrometric analysis should be performed with
high accuracy and precision. Therefore, FEP efficiency
calibration must be done accurately and precisely before
the radioactivity measurements. FEP efficiency
calibration depends on the source-detector geometry,
sample matrix and on the photon energy. Sample and
standard must be counted exactly same geometry and in
the same type of sample container for the wellestablished efficiency calibration.
2. Materials and Methods
2.1. Sample Preparation and Experiment
Radioactive vegetation reference standard was used to
obtain efficiency value at 661.6 keV 137Cs photon energy.
Vegetation standard had 9871.67 Bq.kg-1 137Cs
radioactivity concentration at reference date. Standard
were put into cylindrical plastic analysis container (6x5
cm diameter x height dimension). Then, analysis
container sealed and weighed. Efficiency measurement
was performed by using HPGe gamma spectrometer.
Specifications of the gamma spectrometric system are
given in Table 1. 241Am, 137Cs and 60Co standard point
sources were used for energy calibration. Before the
measurements, an empty analysis container counted for
the determination of the background effects.
51
Celal Bayar University Journal of Science
Volume 15, Issue 1, 2019, p 51-55
Doi: 10.18466/cbayarfbe.455494
Y. Agus
where µ and x are the linear attenuation coefficient
and thickness of the volume sample[8].
Table 1. Specifications of the gamma spectrometric
system.
Detector
Type
n-type
%Rel. Eff. (1.33MeV)
70%
Crystal diameter [mm]
73.2
Crystal length [mm]
65.0
Peak/Compton
60:1
1332.5 keV 60Co
2.3 keV
Resolution
122.0 keV 57Co
1.1 keV
C4 is random summing correction factor.
C4 e 2R
(2.5)
where is the resolution time of the measurement
system(s). R is the mean count rate [9].
2.2. Efficiency Determination
C5 is coincidence correction factor [9]. There is no
true coincidence factor for 137Cs.
Efficiency is calculated by the following formula [9]
N
A t s m C1 C 2 C 3 C 4 C 5
(2.1)
where,
N is corrected net peak area of the corresponding
photo peak. It is calculated as N N t s N . Ns
s
b
tb
and Nb are the net peak area in the sample spectrum
and in the background spectrum respectively. ts and
tb live time of the sample measurement and of the
background measurement in seconds.
A is radioactivity concentration of the 137Cs in the
sample.
m is dried mass of the sample (kgs).
is emission probability of the 137Cs photo peak
energy.
C1 is correction factor for nuclear decay during the
sampling to measurement
C1 e
ln(2 )t
T1 / 2
Figure 1. Gamma-ray spectrum of the radioactive
vegetation reference standard.
Repeatability (precision) is the closeness of the result of
the consecutive measurements. During the measurement
process, experimental condition remains unchanged. In
the repeatability measurements analyst, detection system,
laboratory conditions are the same and successive
measurements carrying out in short period of time.
Repeatability (precision) is the random error and
expressed as the standard deviation(s) or the percent
relative standard deviation (RSD%). Reproducibility is
closeness of results of measurements carried out under
changed conditions. In the reproducibility measurements
detection system, analyst, laboratory condition and
measurement interval can change. Reproducibility of the
efficiency measurement was determined by using
different analyst’s results.
(2.2)
where t is the elapsed time from the time of
sampling to the beginning of measurement(s), T 1/2 is
the half-life(s) [9]
3. Results and Discussions
Efficiency value was calculated by using equation 2.1.
Activity concentration of the reference standard material
was 9871.67 Bq.kg-1. Measurement live time,
background measurement live time, net photopeak area
in sample spectrum, net (...truncated)