The acquisition time is 72 000s for background, reference and samples
respectively. The activity concentration in Bq kg-1 of the natural radionuclides of
the collected cement samples were determined by a high resolution gamma-ray
spectrometry using a p-type high purity germanium (HPGe) detector model with
crystal diameter 53 mm, crystal length 54.7mm of the ORTEC company, and the
relative efficiency 20% and the energy resolution (FWHM) at 1332 keV (60Co) is
1.8 keV, which is connected to a spectroscopy amplifier model 572A (ORTEC)
and a computer based PCA-MR 8192 ACCUSPEC multichannel analyzer. The
MAESTRO-32 multi-channel analyzer emulation software was used for data
acquisition, storage, display, online and offline analysis of the gamma-spectra.
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ginning with naturally occurring uranium-238, this series includes the
following elements: astatine, bismuth, lead, polonium, protactinium, radium,
radon, thallium, and thorium. All are present, at least transiently, in any natural
uranium-containing sample, whether metal, compound, or mineral. The series
terminates with lead-206. The decay scheme of this series is presented in
Figure 1.1
(1)
238
U 4,468×10
9 y năm
↓ α
(2)
234
Th 24,1 ngày
↓ β
(3)
234
Pa 1,17 phút
↓ β
(4)
234
U 2,455×10
5
năm
↓ α
(5)
230
Th 7,538 ×10
4
năm
↓ α
(6)
226
Ra 1600 năm
↓ α
(7)
222
Rn 3,8232 ngày
↓ α
(8)
218
Po 3,094 phút
↓ α
(9)
214
Pb 26,8 phút
↓ β
(10)
214
Bi 19,9 phút
↓ β
(11)
214
Po 162,3 giây
3
↓ α
(12)
210
Pb 22,3 năm
↓ β
(13)
210
Bi 5,013 ngày
↓ β
(14)
210
Po 138,4 ngày
↓ α
206
Pb
Figure 1.1. The decay scheme of the
238
U series. Nuclides underlined are
measurable by gamma-ray spectrometry.
b) The actinium series -
235
U
Beginning with the naturally-occurring isotope U-235, this decay series
includes the following elements: actinium, astatine, bismuth, francium, lead,
polonium, protactinium, radium, radon, thallium, and thorium. All are present, at
least transiently, in any sample containing uranium-235, whether metal, compound,
ore, or mineral. This series terminates with the stable isotope lead-207. The decay
scheme of this series is shown in Figure 1.2.
(1)
235
U 1,7×10
8
năm
↓ α
(2)
231
Th 25,52 giờ
↓ β
(3)
231
Pa 3,276 ×10
4
năm
↓ α
(4)
227
Ac 21,772 năm
↓ β
(5)
227
Th 18,718 ngày
+ α (1,38 %) to 223Fr 22 phút then β
↓ α
(6)
223
Ra 11,43 ngày
↓ α
(7)
219
Rn 3,96 giây
↓ α
(8)
215
Po 1,781 giay
↓ α
(9)
211
Pb 36,1 phút
↓ β
(10)
211
Bi 2,14 phút
↓ α
(11)
207
Tl 4,77 phút
+ β (0,273%) 211Po 516 giây then α
↓ β
207
Pb
Figure 1.2. The decay scheme of the
235
U series. Only
235
U is measurable by
gamma-ray spectrometry.
4
c) The thorium series
232
Th
Beginning with naturally occurring thorium-232, this series includes the following
elements: actinium, bismuth, lead, polonium, radium, radon and thallium. All are present,
at least transiently, in any natural thorium-containing sample, whether metal, compound,
or mineral. The series terminates with lead-208. The decay scheme of this series is shown
in Figure 1.3.
(1)
232
Th 1,405 ×10
9
năm
↓ α
(2)
228
Ra 5,75 giờ
↓ β
(3)
228
Ac 6,15 giờ
↓ β
(4)
228Th 1,9127 năm
↓ α
(5)
224
Ra 3,627 ngày
↓ α
(6)
220
Rn 55,8 giây
↓ α
(7)
216
Po 150 giây
↓ α
(8)
212
Pb 10,64 giờ
↓ β
(9)
212
Bi 60,54 phút
↓ β (64,06%) ↓ α (35,94%)
(10)
212
Po 0,3 giây
208
Tl 3,06 phúg
↓ α ↓ β
206
Pb
Figure 1.3. The decay scheme of the
232
Th series. Nuclides underlined are
measurable by gamma-ray spectrometry.
1.1.2. Radon loss
1.1.3. Natural disturbance of the decay series
1.2. Effects of radiation hazards from building material to health body
1.3. Research condition of radiation in building material in the world
In most countries, the inspection and assessment of the level of
radioactivity in building materials are mandatory. To understand more about this
issue, we have listed some recent works about natural radioactivity in different
types of building Materials conducted by scientists in some countries in the world.
The available data of specific radio-activities of some common building materials
in some countries taken from literatures are presented in the tables numbered as
1.1, 1.2 and 1.3 below.
5
Table 1.1. The activity concentration (Bq.kg
-1
) Portland cement samples for
different countries in the world.
Countries
Activity concentration (Bq.kg
-1
)
References 226
Ra
232
Th
40
K
Greece 92 31 310 [12]
Austria 26.7 14.2 210 [13]
Bangladesh 60.5 64.7 952.2 [14]
China 56.50 36.50 173.2 [15]
Egypt 134 88 416 [16]
Pakistan 31.3 26.8 51.3 [17]
Turkey 40.5 26.1 267.1 [18]
Ghana 61.63 25.96 451.30 [19]
India 37.0 24.1 432.2 [20]
Malaysia 34.7 32.9 190.6 [21]
Brazil 61.7 58.5 564.0 [22]
Lao PDR 41.12 16.60 141.48 [23]
Table 1.2. Comparison between the activity concentrations of our building
materials with that of other countries of the world
S.
No
Countries materials
Activity concentration (Bq.kg
-
1
)
Raeq
(Bq.kg
-1
) References
226
Ra
232
Th
40
K
1
Australia
brick 41 89 681 220,71 [24]
[24]
[24]
Soil 62.9 162.8 403.3 326.76
Sand 3.7 40 44.4 64.32
2
China
brick 124.7 28.9 390.2 196.07 [25]
[26]
[15]
Soil 44.6 86.7 352.8 195.75
Sand 40.7 21.5 302.6 96.4
3
Egypt
brick 24 24.1 258 78.33 [27]
[28]
[29]
Soil 13 6 433 54.92
Sand 9.2 3.3 47.3 17.56
4
Brazil
brick 16.2 70 76 122.15 [30]
[31]
[30]
Soil 30 67 112 134.43
Sand 35.3 74 315 165.38
5
Pakistan
brick 43.2 53.7 631.2 168.59 [17]
[17]
[17]
Soil 42.4 56.2 565.3 166.29
Sand 21.5 31.9 519.6 107.13
6 India
brick 63.74 38.6 313.71 143.09 [32]
Soil 116.1 43.51 300.07 201.44 [32]
Sand 90.27 101.67 280.71 257.27 [32]
7
World-
wide
brick 35 30 400 [33]
Soil 35 30 400 [33]
Sand 35 30 400 [33]
6
Table 1.3. The specific radio-activities of
40
K,
226
Ra and
232
Th in building
materials used in Ha Noi
S.
No.
Building materials
Activity concentration
K-40 Ra-226 Th-232
1 Black sand 515 ± 23 24.4 ± 1,4 36,2 ± 1.0
2 khuyến lương Sand 483 ± 15 53,5 ± 3,7 46 ± 3.6
3 yellow sand 651 ± 21 25,5 ± 0,9 32,3 ± 0.6
4 Hà Bắc yellow sand 357 ± 2 12,4 ± 2,5 20 ± 2,4
5 Hải Phòng cement 73 ± 9 28,6 ± 2,5 32,3 ± 2,8
6 Hoàng Thạch cement 196 ± 2 65,9 ± 3,7 27,8 ± 2,8
7 X77 cement 205 ± 2 69,6 ± 3,7 32,2 ± 2,8
8 Gravel 389 ± 8 23,5 ± 5 23 ± 4
9 Rock 46 ± 21 25,5 ± 5 19 ± 4
10 Brick 665 ± 0 84,0 ± 15 85 ± 4
11 Tiles 385 ± 5 39 ± 8 34 ± 4
12 Plaster 525 ± 5 44 ± 4 37 ± 4
13 Rock dust < 10 12,4 ± 2,5 6,8 ± 2,4
14 Tro xỉ hồ chứa 626 ± 3 122 ± 9 100 ±
15 Fly ash 788 ± 7 164 ± 13 126± 1
1.4. Investigation of Radioactivity in the building materials in Laos PDR
In recent years, the economy of Laos has continuously grown and
developed in a stable speed, with GDP increasing by an average of 7.6%; Per
capita income has reached nearly 1,700 USD in the period 2013-2014. These
achievements facilitate the Lao Government to successfully implement the 7th
Socio-Economic Development Plan this year as well as the Millennium
Development Goals. Along with economic development, the demand for
construction is rising significantly, leading to the establishment of various
construction materials companies. Nevertheless, because the scientific level of the
Lao People's Democratic Republic is still at a very modest level and lack of human
resources to undertake, the inspection of natural radioactivity in construction
materials so far has not been conducted. The researchers were also encouraged to
choose any topic that is related to natural radioactivity survey in Building
Materials, which aims to widely expand this research direction in Laos PDR. This
thesis may be considered as the first work in this direction in Laos PDR.
7
CHAPTER 2
GAMMA SPECTROCOPY USING EITHER HPGe AND NaI(Tl)
SCINTILLATION DETECTOR
2.1. Physics foundation of gamma-ray detection with scintillation and HPGE Detectors
2.1.1. Interaction Of Gamma Radiation With Matter
2.1.2. Photoelectric effect
2.1.3. Compton Scattering
2.1.4. Pair Production
2.1.5. Attenuation of Gamma Radiation with matter
2.2. Configuration and gamma ray spectroscopy of NaI(Tl) and HPGe
detector principles
2.3. HPGe Detector: Gamma-ray spectrum structure
2.3.1. Operational principles of HPGe detectors
2.3.2. Configurations of HPGe detectors
2.3.3. Gamma ray spectroscopy with HPGe detector
2.4. Scintillation detector: Gamma-ray spectrum structure
2.4.1. Configuration of Scintillation detectors
2.4.2. Gamma ray spectroscopy with Scintillation Detector
CHAPTER 3
EXPERIMENTAL METHODS
3.1. Selection of sampling point of building materials
Four kinds of building materials commonly used in Laos PDR including cement,
sand, brick and soil have been chosen in this thesis.
3.1.1. Cement samples collection
Figure 3.1. The map of Lao PDR showing the local famous cement factories in
Lao PDR (from which the cement samples were collected).
8
Table 3.1. The labels of the analyzed cement samples.
S.
No
Symbol
Type of
cement
Map icon
Position
Latitude (°N) Longitude
(°E)
1 1V1
Porland
cement
(1V)
A 18°56'7.6"N 102°27'7.0"E
2 1V2
3 1V3
4 1V4
5 1V5
6 1V6
7 1V7
8 2V1
Mixed
cement (2V)
9 2V2
10 2V3
11 2V4
12 2V5
13 2V6
14 2V7
15 1VT1
Mixed
cement (1VT)
B 18°6'27.3"N 102°47'7.9"E
16 1VT2
17 1VT3
18 2VT1
Porland
cement (2VT)
19 2VT2
20 2VT3
21 2VT4
22 1K1
Porland
cement
(1K)
C 17°24'19.8"N 105°12'58.2"E
23 1K2
24 1K3
25 1K4
26 2K1
Mixed
cement (2K)
27 2K2
28 2K3
29 2K4
30 1SV1
Porland
cement
(1SV)
D 15°50'39.1"N 106°23'16.4"E
31 1SV2
32 1SV3
33 1SV4
34 2SV1
Mixed
cement (2SV)
35 2SV2
36 2SV3
37 2SV4
9
3.1.2. Soil sample selection
Figure 3.2. The map of Lao PDR showing the Thoulakhom district and the soil
and sand sampling locations were indicated as P1, P2, , P10.
Table 3.2. The labels of the analyzed soil samples.
S.
No
Symbol Village
Position
Latitude (°N) Longitude (°E)
1 1P1
Ban Dong (P1) 18°16'52.5" N 102°40'51.5"E 2 1P2
3 1P3
4 2P1
Ban PhaThao (P2) 18°19'40.5" N 102°39'56.5"E 5 2P2
6 2P3
7 3P1
Ban Nam Ang (P3) 18°22'23.9" N 102°36'5.4"E 8 3P2
9 3P3
10 4P1
Ban Nanokkhoum
(P4)
18°17'18.2" N 102°41'35.8"E 11 4P2
12 4P3
13 5P1
Ban Phonmouang
(P5)
18°20'15.7" N 102°40'51.4"E 14 5P2
15 5P3
16 6P1
Ban NaKang (P6) 18°20'42.0" N 102°39'40.4"E 17 6P2
18 6P3
19 7P1
Ban Naxanglek (P7) 18°21'54.5" N 102°37'48.8"E 20 7P2
21 7P3
22 8P1 Ban Keun (P8) 18°21'51.2" N 102°35'13.3"E
10
23 8P2
24 8P3
25 9P1
Ban Hatnoi (P9) 18°22'58.6" N 102°33'52.5"E 26 9P2
27 9P3
28 10P1
Ban Boungphao
(P10)
18°20'49.3" N 102°33'59.6" 29 10P2
30 10P3
3.1.3. Sand samples preparation
Figure 3.3. Map of Vientiane capital showing the Mekog river and locations of
sand samples discussed in this preliminary study
Figure 3.4. Photo of river sand in Mekong driver in Vientiane capital
Figure 3.5. River sand Namngeum in Thoulakhom district, Vientiane province.
11
Table 3.3. The labels of the analyzed cement samples.
S. No Symbol Village
Position
Latitude (°N) Longitude (°E)
1 1NK1
Ban HuayYai
(NK1)
18°56'7.6"N 102°27'7.0"E
2 1NK2
3 1NK3
4 1NK4
5 1NK4
6 2Nk1
Ban
HuayHom(NK2)
18°6'27.3"N 102°47'7.9"E
7 2NK2
8 2Nk3
9 2Nk4
10 3NK1
Ban
NongDa(NK3)
17°58'22.7"N 102°30'8.9"E
11 3NK2
12 3NK3
13 3NK4
14 4N1
Ban Don
Chan(NK4)
17°57'57.0"N 102°35'47.3"
15 4NK2
16 4NK3
17 4NK4
18 5NK1
Ban Hom1(NK5) 17°50'10.8"N 102°35'58.8"
19 5NK2
20 5NK3
21 5NK4
22 6NK1
Ban Hom2(NK6) 17°51'16.5"N 102°35'37.8"
23 6NK2
24 6NK3
25 6NK4
26 1NG1
Ban Keun (P11) 18°21'30.7"N 102°34'19.3"E
27 1NG2
28 1NG3
29 NG4
30 2NG1
Ban Pakchan (P12) 18°22'15.1"N 102°32'10.7"E
31 2NG2
32 2NG3
33 2NG4
12
Figure 3.6. Square flame of 100cm × 100cm.
3.1.4. Brick sample selection
3.2. Preparation of sample for analysis
Before analysis, the collected samples have to be prepared for
measurement. The sample preparation procedure is presented below in figure 3.6.
Figure 3.6. The schematic of the process of sample preparation.
Figure 3.7 is a picture for illustration of the sample preparation process. A
mortar and pestle for crushing and homogenizing and a standard sieve of 0.2 mm
mesh size have been used for sample preparation. The prepared building materials
finally were filled in the beakers sealed with plastic tape to prevent the escape of
airborne radionuclides. The pictures of some prepared samples are presented in
figure 3.8.
13
Figure 3.7. A mortar and pestle for crushing and homogenizing. A standard sieve
of 0.2 mm mesh zize.
Figure 3.8. A prepared building materials were filled in the beaker sealed with
plastic tape to prevent the escape of airborne radionuclides.
3.3. Reference materials
Figure 3.9. Picture of Three reference materials, obtained from the International
Atomic Energy Agency (IAEA: RGU-1, RGTh-1 and RGK-1).
For determination of the specific radioactive concentrations of the
materials, the relative method has been used. For this, the reference materials
obtained for IAEA have been used. The picture of these reference materials
including RGU-1, RGTh-1 and RGK-1 is shown in figure 3.9 together with their
data listed in Table 3.4.
Table 3.4. The table shows the data of reference material used.
Sample Mass (g) Density (g/cm
3
) Mass acivity (Bq/kg)
IAEA-RGK-1 340,91 1,8 14000±400
IAEA-RGU-1 378,82 1,94 4940±30
IAEA-RGTh-1 309,01 1,736 3250±90
14
3.4. Method of Determination of activity concentrations of natural
radionuclides from gamma-ray spectra with Scintillation detectors
Figure 3.10 is the pictures of the gamma-ray spectrometers used in our work. On
the left panel is the spectrometer using NaI(Tl) detector while on the right panel is
the spectrometer using HPGe detector.
Fig. 3.10. Picture of gamma-ray spectroscopy using Scintillation Detector.
For determination of activity of the naturally occurring radioactive
isotopes using NaI(Tl) detector, we have used a method for overcoming the poor
energy resolution of NaI(Tl) detector. The method is based on the characteristics of
the IAEA reference materials used in our investigation. Firstly, we need to measure
the spectra of background, RGU-1, RGTh-1 and GRK-1 reference samples. These
spectra are presented in figure 3.11.
Fig. 3.11. a) Background Spectrum, obtained in a collecting time for 52700
second. b) Spectrum of IAEA RGU-1 was collected for 13942 second. c) Spectrum
of IAEA-RGTh-1 was collected for 18190second. d) Spectrum of IAEA-RGK-1
was collected for 17215 second.
Based on these spectra, we defined the energy region of interest (ROI) for
our interested isotopes, which is written in table 3.5.
15
Table 3.5. Energy windows for determination of concentration of naturally occurring
radioactive isotopes using the gamma spectrometer with NaI(Tl) detector.
Parent
isotope
Daughter isotope
Gamma ray energy
(keV)
Energy window
(keV)
1
238
U
214
Bi 1764,49 1632 – 1897
2
232
Th
208
Tl 2614,53 2418 – 2811
3
40
K
40
K 1460,8 1351 - 1570
The following algorithm was used to determine the concentration of
radioactive isotopes, which is explained below. The net count rate in the ith
Roi of a calibration standard j (with i and j equal to 1, 2 and 3 denoting the ROIs, and
the calibration standards of K, U and Th, respectively) is proportional to the activity
An,j of each investigated nuclide n (n=1,2 and 3 for
40
K,
238
U and
232
Th,
respectively) according to:
∑
(3.1)
Where is the counting efficiency in the ith. ROI for the nuclide n. the net
count rate is given by
R
t
N
bi
j
ji
ji ,
,
,
(3.2)
Thus, AK, ATh và AU can be obtained by solving the system of simultaneous
equations:
AeAeAe ThUKK 3,12,11,1
AeAe ThUU 3,22,2
AeAe ThUTh 3,32,3
(3.3)
From the RGK-1 standard, on has:
A
e
1,1
1,1
1,1
(3.4)
From the RGU-1 standard:
A
e
2,2
2,1
2,1
A
e
2,2
2,2
2,2
(3.5)
And from the RGTh-1 standard:
A
A
A
e
3,3
3,2
2,2
2,1
3,1
3,1
(3.6)
16
A
A
A
e
3,3
3,2
3,2
2,2
3,2
3,2
The other constant can be obtained by combining the count rates for the U and Th
standards in the third ROI:
A
e
2,2
2,3
2,3
A
A
A
e
3,3
3,2
2,2
2,3
3,3
3,3
(3.7)
Giá trị của các hoạt độ trong các mẫu chuẩn của IAEA là: A11=9869 Bq,
A12=129.55 Bq, A13=0.07 Bq, A22=3527 Bq, A23=18 Bq và A33=2298 Bq.
Table 3.6. Counting efficiency values, determination from spectrum of reference materials
(IAEA)
e11 e12 e13 e22 e23 e32 e33
7,216327 x
10-4
1,033662 x
10-4
-2,413112 x
10-4
7,927624 x
10-4
-4,421488 x
10-4
-2,433944 x
10-5
1,29643
x 10-3
The concentration of
238
U,
232
Th and
40
K isotopes are calculated using the
following equations:
e
e
e
e
ee
A
ThU
Th
2,3
3,3
2,2
3,2
2,32,2
(3.8)
A
e
e
e
A Th
U
U
2,2
3,2
2,2
(3.9)
A
e
e
A
e
e
e
A ThU
K
K
1,1
3,1
1,1
2,1
1,1
(3.10)
The standard uncertainty on the activity values, can be calculate as
1/2
1,1
1,1
1
K
t
b
t
A N Re
2/1
,22
2,2
1
RN
e
b
t
A
t
U
2/1
,33
3,3
1
RN
e
b
t
A
t
Th
(3.11)
A computer program has been written to determine these coefficients. Its flow
chart is shown in the in Figure 3.12.
17
Fig. 3.12. Computer flow chart showing the automatic determination of activity
concentrations of natural radionuclides from gamma-ray spectra with NaI(Tl) detector.
3.5. Determination of activity concentrations of natural radionuclides from
gamma-ray spectra with HPGe detectors
Two method for measurement of radioactive concentration: Relative method and
absolute method. Before measurement of radioactivity concentration in the
samples, we have to perform some calibration including energy, resolution and
efficiency calibrations.
3.5.1. Data analysis when used relative method of determination of the specific
activity for the natural radioactive isotopes
18
3.5.2. Relative method of Determination of the Specific Activity of the naturally
occurring radioactive isotopes
The activity concentrtion of the naturally occurring radioactive isotopes in the
investigated samples is given by the following equation [72]:
(3.20)
where: Am and AS are the activity concentrations of the cement and reference
samples in Bq.kg
-1
;
Cm and CS are the count rates obtained under the corresponding peak of cement
sample and reference samples in counts.s
-1
;
Mm and MS are masses of the cement and reference samples in kg;
tm and tS are the measuring live times for the cement and reference samples (s);
T1/2,i is the half-life of the radionuclide.
The error of the specific activities is calculated using the following formula:
√(
)
(
)
(
)
(
)
(
)
(3.21)
3.6. Assessment of Radiological Hazard
3.6.1. Radium equivalent activity (Raeq)
The most widely used radiation hazard index is called the radium equivalent
activity Raeq, which is a weighted sum of activities of the 3 radionuclides
226
Ra,
232
Th and
40
K. It has been calculated by the following equation:
(
) (
) (3.22)
Where ARa, ATh and Ak are the activity concentrations of
226
Ra,
232
Th, and
40
K in Bq.kg
-1
, respectively.
3.6.2. External and internal hazard indexes (Hex and Hin)
A widely used hazard index (reflecting external exposure) called the external
hazard index Hex is defined as follows:
ex
Ra
370
Th
259
4810
(3.23)
Radon and its short-lived product are also hazardous to the respiratory organs. The
internal exposure to radon and its daughter progenies is quantified by the internal
hazard index Hin, which is given by the equation:
Ra
Th
259
4810
(3.24)
The values of the indices (Hex, Hin) must be less than unity for radiation hazard to
be negligible.
3.6.3. Absorbed dose rate in air (D)
The activity concentrations of
226
Ra,
232
Th and
40
K were used to calculate the total
external absorbed dose rate DR in nGy.h
-1
to the general public in outdoor air at 1 m
above the earth’s surface was calculated as follows:
(3.25)
19
The safe threshold value of DR is 80 nGy.h
-1
.
3.6.4. Annual effective dose equivalent (AEDE)
The annual effective dose equivalent (AEDE) resulting from the ingestion of the
radionuclides in the samples was estimated using following equation:
(3.26)
CHAPTER 4
EXPERIMENTAL RESULTS AND DISCUSSION
4.1. Energy calibration
The energy calibration of the gamma spectrometry set-up in the current
work was performed using four differnence sources:
22
Na,
137
Cs,
60
Co and
152
Eu.
The energy calibration curve can be calculated using the equation below :
(4.1)
Fig.4.1. The Spectrum and Gamma-ray effiency calibration: a), b) The Spectrum
and detector efficiency calibration (used 137Cs and 60Co, standard source) for
the NaI(Tl) detector. c), d). The Spectrum and efficiency calibration (used
152Eu standard source) for HPGe detector.
4.2. Experimental efficiency calibration for a HPGe detector
The absolute, full-energy peak efficiency can be defined as follows [4.2]:
(4.2)
The kit standard a reference sample which IAEA-RGU-1 have been used perform
the standard curve of efficieny for HPGe detector. It’s show 5 polynomial function
(4.3)
20
Figure 4.2. Detector Efficiency calibration susing IAEA-RGU-1 reference materials.
Table 4.2. Values and standard devirations of A0, A1, A2, A3, A4, A5
parameters Value Uncertainty
A0 0.0296 4.72E-04
A1 -8.16E-05 2.62E-06
A2 1.05E-07 4.95E-09
A3 -6.64E-11 4.20E-12
A4 2.03E-14 1.64E-15
A5 -2.41E-18 2.39E-19
4.3. Determination of activity concentrations of natural radionuclides in
building materials from gamma-ray spectra with HPGe detectors
The acquisition time is 72 000s for background, reference and samples
respectively. The activity concentration in Bq kg
-1
of the natural radionuclides of
the collected cement samples were determined by a high resolution gamma-ray
spectrometry using a p-type high purity germanium (HPGe) detector model with
crystal diameter 53 mm, crystal length 54.7mm of the ORTEC company, and the
relative efficiency 20% and the energy resolution (FWHM) at 1332 keV (
60
Co) is
1.8 keV, which is connected to a spectroscopy amplifier model 572A (ORTEC)
and a computer based PCA-MR 8192 ACCUSPEC multichannel analyzer. The
MAESTRO-32 multi-channel analyzer emulation software was used for data
acquisition, storage, display, online and offline analysis of the gamma-spectra.
4.4. Activity concentration of building materials
4.4.1. The activity concentration results for the cement samples are measured by
gamma-ray spectra with HPGe detectors
21
Table 4.4. The results of the average activity concentrations of
238
U,
232
Th and
40
K
in cement samples using spectrometry with HPGe detector.
Sample
Activity concentration in Bq kg
-1
238
U (Bq.kg
-1
)
232
Th (Bq.kg
-1
)
40
K (Bq.kg
-1
)
1V 39.48±0.86 9.83±0.76 156.92±3.76
2V 38.94±0.86 9.47±0.75 61.76±2.66
1VT 33.28±1.26 17.21±1.35 131.93±5.48
2VT 29.41±1.05 20.96±1.23 168.70±5.08
1K 28.96±1.07 20.59±1.27 141.83±4.94
2K 25.76±1.16 16.20±1.19 111.28±4.63
1SV 53.19±1.24 7.73±0.98 45.22±3.64
2SV 49.52±1.24 4.74±0.86 39.32±3.50
Average value 37.32±0.3746 13.34±0.3673 107.12±1.4861
World average 35 30 400
4.4.2. Determination of activity concentrations of natural radionuclides in
cement samples using gamma-ray spectrometry with Scintillation detectors
Table 4.6. The average activity concentrations of
238
U,
232
Th and
40
K in some
cement samples are measured using by NaI(Tl) detector and automatic
measurement using by computer program QB64
Sample
Activity concentration in Bq kg
-1
238
U
232
Th
40
K
1V 63.22 12.06 157.43
2V 65.02 13.51 130.38
1K 49.58 47.11 114.03
2K 54.45 30.62 94.09
4.4.3. The activity concentration results for the soil samples were using
gamma-ray spectra with HPGe detectors
Table 4.7. Average activity concerntration (Bq kg
-1
) in soil samples
Sample
Activity concentration in Bq kg
-1
238
U
232
Th
40
K
P1 11.28±0.90 7.43±1.05 40.52±3.88
P2 25.94±1.13 29.56±1.52 137.13±5.39
P3 30.06±1.17 44.47±1.70 581.52±8.09
P4 20.43±1.06 14.47±1.25 81.38±4.68
P5 15.73±0.99 15.10±1.27 68.63±4.47
P6 13.25±0.95 7.13±1.04 8.96±2.60
P7 29.01±1.16 37.77±1.62 88.31±4.78
P8 31.46±1.19 44.42±1.70 468.59±7.60
P9 28.61±1.16 39.58±1.64 415.23±7.34
P10 25.62±1.13 31.39±1.54 372.28±7.12
Average value 23.14±0.34 27.13±0.46 226.26±1.85
World average 35 30 400
22
4.4.4. The activity concentration results for the sand samples using gamma-ray
spectra with HPGe detectors
Table 4.8. Average activity concerntration (Bq kg
-1
) in sand samples in Mekong
and NamNgeum river
Sample
Activity co
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