Assessment of Natural Radioactivity Levels in Brick Factories of Al-Muthanna Governorate, Iraq
Abstract:
Natural radioactive nuclides $^{238}$U, $^{232}$Th, and $^{40}$K present in brick manufacturing facilities pose potential environmental, health, and economic concerns. This study employed gamma-ray spectroscopy using a NaI(Tl) detector to accurately determine radionuclide activity concentrations in ten samples collected from brick factories, Iraq. The investigation evaluated several critical health risk parameters, including radium equivalent activity, excess lifetime cancer risk, absorbed dose rate, and gamma representative index. The measured specific activities for $^{238}$U, $^{232}$Th, and $^{40}$K ranged from 32.67 ± 1.22 to 34.87 ± 1.26 Bq/kg, 24.65 ± 0.92 to 38.84 ± 1.16 Bq/kg, and 405.76 ± 4.91 to 419.92 ± 5.01 Bq/kg, respectively. All calculated radiation hazard indices were found to be within the permissible limits established by international regulatory organizations as recommended by Organisation for Economic Co-operation and Development (OECD), United Nations Scientific Committee on the Effects of Atomic Radiation (UNSCEAR), and International Commission on Radiological Protection (ICRP). The findings indicate that natural radioactivity levels in these facilities pose no significant health risks. Specifically, both occupational workers and the surrounding population remain protected under current operational conditions. These results provide important baseline data for radiation safety assessment in the brick manufacturing industry and demonstrate compliance with international safety standards.
1. Introduction
Radiation is the physical process where energy is emitted as particles or electromagnetic waves. Human exposure to ionizing radiation is a continuous phenomenon. Approximately 87% of the total dose originates from natural environmental sources, while the remaining fraction is attributed to anthropogenic activities [1], [2]. These natural sources are categorized into cosmic radiation, terrestrial sources, and internal emitters. Significant contributions arise from primordial radionuclides, specifically Uranium ($^{238}$U), Thorium ($^{232}$Th), and Potassium ($^{40}$K) [3]. Due to their long half-lives, these radionuclides remain persistent in the environment and are integrated into the geological composition of the Earth's crust.
The brick manufacturing industry is a critical sector where monitoring natural radioactivity is essential. Bricks are produced from soil and clay, which contain varying concentrations of radioactive elements depending on their geological origins. As bricks are a primary building material, elevated radionuclide levels can pose environmental and health challenges. These levels potentially increase the radiological burden on factory workers and residents of buildings constructed from these materials [4].
This study quantifies the specific activity of natural radionuclides ($^{238}$U, $^{232}$Th, and $^{40}$K) in brick samples collected from factories within the Al-Muthanna Governorate, Iraq. Using gamma-ray spectrometry, the research evaluates key radiological hazard indices, including radium equivalent activity, absorbed dose rates, and excess lifetime cancer risk. The results are compared against safety thresholds established by international regulatory bodies, such as United Nations Scientific Committee on the Effects of Atomic Radiation (UNSCEAR) and the International Commission on Radiological Protection (ICRP) [5].
2. Methods and Instruments
Ten samples were collected from the most productive brick factories in Al-Muthanna Governorate, Iraq. The sampling locations were identified using GPS, as shown in Table 1.
Factory Code | Names of Brick Factories | Latitude (N) | Longitude (E) |
M1 | Haider Yahya Hamid | 31.10783 | 45.52740 |
M2 | Hamed Abdul Sahib Ali | 31.10588 | 45.53507 |
M3 | Aqeel Hussein Hashem | 31.06780 | 45.32086 |
M4 | Tawfiq Mutasher Ajami | 31.08625 | 45.36280 |
M5 | Imad Hussein Mohammed | 31.10510 | 45.27250 |
M6 | Youssef Jassim Latif | 31.24477 | 45.22623 |
M7 | Jassim Hamoud Hassoun | 31.210379 | 45.26420 |
M8 | Abdu Al-Rahman Mohammed Awda | 31.24201 | 45.21637 |
M9 | Majed Abbadi Hassoun | 31.09111 | 45.53113 |
M10 | Aboud Fadhl Ali | 31.10817 | 45.52840 |
Samples (1 kg each) were pulverized, sieved (2 mm), dried at 110 ℃, and sealed in Marinelli beakers for 30 days to reach secular equilibrium. Gamma-ray spectrometry, employing an NaI(Tl) detector, was used to quantify the specific activities of $^{238}$U, $^{232}$Th, and $^{40}$K. To ensure accuracy, background radiation was recorded and subtracted from all measurements.
As illustrated in Figure 1, an ORTEC gamma-ray spectrometer equipped with a 3" × 3" NaI(Tl) scintillation detector was employed to measure the radioactivity of the brick samples. To minimize background radiation interference, the detector was housed within a cylindrical lead shield. The detection system integrates a high-voltage power supply, a preamplifier, and an amplifier. These components are coupled with an ORTEC Digi Base multi-channel analyzer (MCA) featuring 1024 channels. Spectral acquisition and nuclear data analysis were performed using the MAESTRO software package.

The primary objective of energy calibration is to establish a linear relationship between the incident gamma-ray energy and the resulting pulse amplitude. This amplitude is generated by the detector crystal [7]. In this study, energy calibration was performed using a set of standard radioactive sources: $^{22}$Na (511 keV and 1274.5 keV), $^{60}$Co (1173.2 keV and 1332.5 keV), and $^{137}$Cs (661.7 keV). Table 2 details the characteristic energy levels of each source alongside their corresponding peak positions (channel numbers). The resulting calibration curve, which illustes the linear correlation between gamma energy and channel number, is presented in Figure 2.
Source | Energy (keV) | Channel No. | $\boldsymbol{I_\gamma}$ (%) | $\boldsymbol{A^\circ}$ ($\boldsymbol{\mu}$ci) | Production Date |
|---|---|---|---|---|---|
Na-22 | 511 | 201 | 100 | 1 | Oct. 2009 |
Na-22 | 1274 | 474 | 99.94 | 1 | Oct. 2009 |
Co-60 | 1173.24 | 450 | 99.97 | 1 | Dec. 2009 |
Co-60 | 1331.23 | 512 | 99.98 | 1 | Dec. 2009 |
Cs-137 | 661.66 | 263 | 85.1 | 1 | Apr. 2009 |

The detecting efficiency ($\varepsilon$) is defined as the ratio between the number of emitted pulses and the number of gamma-ray photons incident on the detector [9]:
where, $N_{\text {net}}$ is net area per unit time under the photopeak, $A$ is the activity of the sample at the time of measurement (Bq), $I_\gamma$ represents the emission probability (intensity) of gamma-ray and $t$ is the measurement time in seconds. The activity ($A$) is calculated using the following decay equation [9]:
where, $A^{\circ}$ is the activity at production time $t$ = 0, $\lambda$ is the decay constant, $t$ is the elapsed time since manufacture, and $T_{1/2}$ is the half-life of the source. In this study, standard sources with known energies were utilized to calibrate the efficiency of the NaI(Tl) detector. The radioactivity was measured using a counting time of 200 seconds, and the resulting efficiency curve is presented in Figure 3.

From Figure 3, it is found the exponential relation with correlation (0.9888) as following:
where, $\varepsilon$ represents efficiency, $E$ represents the energy (keV).
Figure 3 shows that the detector's efficiency peaked at 511 keV, resulting from complete incident photon absorption via the photoelectric effect. As energy increased, the efficiency gradually decreased. This reduction is attributed to the Compton effect, which causes energy loss through scattering. The photoelectric emission peaks from the $^{238}$U, $^{232}$Th, and $^{40}$K, decay series were utilized to identify radionuclides in the samples. Detection efficiency was computed using Eq. (1) and is summarized in Table 3.
Isotopes Daughter | Energy (keV) | Efficiency (%) |
|---|---|---|
$^{238}$U ($^{214}$Bi) | 1764.49 | 0.012 |
$^{232}$Th ($^{208}$Tl) | 2614 | 0.008 |
$^{40}$K | 1460.75 | 0.016 |
Specific activities and radiological hazard indices were calculated using standard Eqs. (5)–(11).
(1) Specific activity
The specific activity ($A$), of the gamma- emitting radionuclides in the samples, expressed in (Bq/kg), is calculated using the following equation [9]:
where, $N$ is the net count, $\varepsilon$ represents the detector efficiency, $T_c$ is the counting live time, $\gamma_d$ is the gamma emission probability, $M_s$ is the sample mass.
(2) Equivalent activity of radium ($R a_{e q}$)
It is used to determine the risk of a specific activity, which is given in Bq/kg. was estimated using the equation [10]:
where, $A_{R a}$, $A_{T h}$ and $A_K$ represent the corresponding activity concentrations of ($^{226}$Ra, $^{232}$Th, and $^{40}$K) in (Bq/kg).
(3) Absorbed dose rate ($D_r$)
The absorbed dose rate in air ($D_r$), at one meter above the ground surface, resulting from the radioactivity concentrations of $^{238}$U, $^{232}$Th, and $^{40}$K, is determined using the following equation [11]:
where, the numerical coefficients (0.462), (0.622), (0.041), represent the dose conversion factors for these naturally occurring radionuclides.
(4) Hazard indices ($H_{e x}$, $H_{i n}$)
External exposure ($H_{e xt}$) is utilized to assess the biological risk of radionuclides that emit naturally occurring gamma rays. This index is calculated using the following equation [11]:
Internal exposure ($H_{int}$) refers to the inhalation of radon gas and its short-lived progeny. This index is calculated using the following equation [11]:
(5) Gamma representative index ($I_\gamma$)
Radiation risks associated with specific radionuclides of $^{238}$U (226Ra), $^{232}$Th, and $^{40}$K. were evaluated using the following equation [11]:
(6) Excess lifetime cancer risk
where, RF denotes the fatal cancer risk factor per Sievert (ICRP uses RF as 0.05 Sv$^{-1}$ for stochastic impacts); DL represents for average lifespan (estimated to be 71.4 years); and AEDE denotes annual effective dose equivalent; and ELCR stands for excess lifetime cancer risk [12].
Natural radioactivity from terrestrial materials, cosmic radiation, and system components contributes to background radiation signals recorded by measurement instrumentation. This background level varies spatially and depends on the detector's dimensions, type, and shielding configuration. The shield utilized in this study was constructed from low-background lead to ensure the absence of interfering isotopes, such as $^{210}$Pb. Internally, the shield was lined with a graded-Z liner consisting of a 101.6 mm outer lead layer, followed by a 1 mm tin layer to absorb lead-induced X-rays. A final 1.5 mm copper layer was added to attenuate X-rays emitted by the tin. Copper was selected due to its low characteristic X-ray energy (8 keV), which does not interfere with the target measurement range.
Following the establishment of secular equilibrium between $^{226}$Ra and $^{222}$Rn, brick samples were placed in one-liter Marinelli beakers. To obtain the gamma-ray spectra, each Marinelli beaker was positioned on the NaI(Tl) detector for five hours. Background levels were recorded and subtracted from each sample's spectrum to determine the net radioactivity [12]. The resulting spectra were processed as illustrated in Figure 4 and Figure 5.


3. Result and Discussion
Table 4 presents the specific activities of $^{238}$U, $^{232}$Th, and $^{40}$K, measured in the brick samples. The derived radiological hazard indices—including radium equivalent activity ($Ra_{eq}$), absorbed dose rate ($D_r$), external and internal hazard indices ($H_{e x}$, $H_{int}$), gamma representative index ($I\gamma$), annual effective dose equivalent, and excess lifetime cancer risk—were compared against established international safety standards.
No.
| Sample Code | Specific Activity (Bq/kg) ± S.D | ||
238U | 232Th | 40K | ||
1 | M1 | 34.87 ± 1.26 | 32.19 ± 1.06 | 417.44 ± 4.98 |
2 | M2 | 34.41 ± 1.25 | 24.65 ± 0.92 | 418.27 ± 4.99 |
3 | M3 | 34.69 ± 1.25 | 30.79 ± 1.03 | 416.13 ± 4.97 |
4 | M4 | 33.04 ± 1.22 | 36.19 ± 1.12 | 419.22 ± 4.99 |
5 | M5 | 32.95 ± 1.22 | 32.61 ± 1.06 | 415.35 ± 4.97 |
6 | M6 | 34.46 ± 1.25 | 33.95 ± 1.09 | 412.31 ± 4.95 |
7 | M7 | 32.67 ± 1.22 | 38.84 ± 1.16 | 419.92 ± 5.01 |
8 | M8 | 34.73 ± 1.26 | 36.68 ± 1.13 | 413.21 ± 4.96 |
9 | M9 | 32.86 ± 1.22 | 37.35 ± 1.14 | 405.76 ± 4.91 |
10 | M10 | 33.04 ± 1.22 | 35.59 ± 1.11 | 418.03 ± 4.98 |
Maximum | 34.87 ± 1.26 | 38.84 ± 1.16 | 419.92 ± 5.01 | |
Minimum | 32.67 ± 1.22 | 24.65 ± 0.92 | 405.76 ± 4.91 | |
Average ± S.D | 33.776 ± 1.116 | 33.848 ± 1.042 | 411.402 ± 2.224 | |
Worldwide average [11] | 35 | 45 | 420 | |
In brick factories in the Al-Muthanna Governorates of Iraq, the findings of the specific activity for $^{238}$U, $^{232}$Th, and $^{40}$K, radionuclides are shown in Table 4. The specific activity for ${238}$U in this area ranged from 32.67 ± 1.22 to 34.87 ± 1.26 (Bq/kg), with an average of 33.776 ± 1.116 (Bq/kg). In addition, the specific activity in $^{232}$Th it ranged from 24.65 ± 0.92 to 38.84 ± 1.16 (Bq/kg) with an average of 33.848 ± 1.042 (Bq/kg), whereas in $^{40}$K varied from 405.76 ± 4.91 to 419.92 ± 5.01 (Bq/kg) with an average value of 411.402 ± 2.224 (Bq/kg). According to Table 4, all of the specific activities' values ($^{238}$U, $^{232}$Th, and $^{40}$K) were below the global average activity that UNSCEAR 2008 advised [4], [11]. The particular activity for the radionuclides $^{238}$U, ${232}$Th, and $^{40}$K in the study's current samples is displayed in Figure 6.

In Figure 6 shows the relationship between the specific activity and sample cod for ($^{238}$U, $^{232}$Th and $^{40}$K), The variation in the radioactivity of radioactive isotopes in brick factories in Muthanna Governorate/Iraq is the result The variation in natural radioactive nuclides in brick factories in Al-Muthanna Governorate is influenced by various geological and industrial factors. These include the quality of raw materials, the geological origin of the soil, differences in production techniques, human activities and industrial pollution, and variation in soil extraction depth. Clay or local soil content, as well as the presence of ancient sedimentary deposits, can affect the concentration of radioactive elements in the final product.
Table 5 and Table 6 show the radiological effects of the brick industry in al-Muthana who are governors in Iraq ($R a_{e q}$, $D_r$, $H_{e x}$, $H_{i n}$, $I_\gamma$, AEDE, and ELCR). Table 5 shows radium equivalent activity found in brick samples based on the above calculation. Radium equivalent activity of brick samples varies from ( 101.8 to 119.984 ) Bq/kg, with an average value (114.179 ± 10.685) Bq/kg. The radium equivalent activity values for each brick samples were studied and determined to be within the acceptable limits at (370 Bq/kg) [12], [13]. The determined absorbed dose rate ranged from (48.234 to 54.827) nGy/h, with an average value (53.378 ± 7.306) nGy/h. Depending on the UNSCEAR (2000), the calculated absorbed dose rate varied from roughly 45% of the global average outdoor exposure from terrestrial gamma-rays (55 nGy/h) [10], [11]. The external hazard index was calculated from (0.257 to 0.324), with an average value of the (0.308 ± 0.555), the radiation protection report said that the computed average values were less than unity [13].
No. | Sample Code | $R a_{e q}$ (Bq/kg) | Dr (nGy/h) | Hex | Hin | $\boldsymbol{I_{\gamma}}$ |
1 | M1 | 113.058 | 52.965 | 0.3053 | 0.399 | 0.416 |
2 | M2 | 101.882 | 48.234 | 0.275 | 0.368 | 0.377 |
3 | M3 | 110.768 | 51.979 | 0.299 | 0.392 | 0.408 |
4 | M4 | 117.085 | 54.610 | 0.316 | 0.405 | 0.430 |
5 | M5 | 111.579 | 52.246 | 0.301 | 0.390 | 0.411 |
6 | M6 | 114.760 | 53.621 | 0.309 | 0.403 | 0.422 |
7 | M7 | 119.984 | 54.827 | 0.324 | 0.415 | 0.441 |
8 | M8 | 119.015 | 54.437 | 0.321 | 0.412 | 0.436 |
9 | M9 | 117.521 | 54.664 | 0.317 | 0.406 | 0.431 |
10 | M10 | 116.140 | 54.200 | 0.313 | 0.402 | 0.427 |
Maximum | 119.984 | 54.827 | 0.324 | 0.415 | 0.441 | |
Minimum | 101.882 | 48.234 | 0.275 | 0.368 | 0.377 | |
Average | 114.179 ± 10.685 | 53.378 ± 7.306 | 0.308 ± 0.555 | 0.349 ± 0.632 | 0.459 ± 4.583 | |
Worldwide average [13] | <370 | <55 | <1 | <1 | <1 | |
No. | Sample Code | AEDE (mSv/y) | ELCR × 10⁻³ | ||
Indoor | Outdoor | Total | |||
1 | M1 | 0.259 | 0.064 | 0.259 | 0.909 |
2 | M2 | 0.236 | 0.059 | 0.236 | 0.828 |
3 | M3 | 0.254 | 0.063 | 0.254 | 0.892 |
4 | M4 | 0.267 | 0.061 | 0.267 | 0.937 |
5 | M5 | 0.256 | 0.064 | 0.256 | 0.897 |
6 | M6 | 0.263 | 0.063 | 0.263 | 0.920 |
7 | M7 | 0.273 | 0.068 | 0.273 | 0.958 |
8 | M8 | 0.271 | 0.067 | 0.271 | 0.951 |
9 | M9 | 0.268 | 0.065 | 0.268 | 0.938 |
10 | M10 | 0.265 | 0.066 | 0.265 | 0.930 |
Maximum | 0.273 | 0.068 | 0.273 | 0.958 | |
Minimum | 0.236 | 0.059 | 0.236 | 0.828 | |
Average | 0.262 ± 0.511 | 0.065 ± 0.255 | 0.261 ± 0.633 | 1.173 ± 1.083 | |
Worldwide average [13] | 0.42 | 0.08 | 0.50 | − | |
The internal exposure ranged between (0.368 to 0.415) with an average value (0.349 ± 0.632), therefore the calculated average values were less than unity according to the radiation protection report [13]. The calculated $I_\gamma$ values for the samples of this location are presented in Table 5, the values range from (0.377 to 0.441), with an average of (0.459 ± 4.583). These calculated values are less than the international values $I_\gamma$ $<$ 1 [2-13]. The calculated values for the average effective dose rate in indoor, outdoor, and total settings are listed in Table 6. These average values (0.262 ± 0.511, 0.065 ± 0.255, and 0.261 ± 0.633) mSv/y, respectively. The corresponding global values are 0.42, 0.08, and 0.50 mSv/y [4-13]. Table 6 displays the estimated lifetime cancer risk for this samples. The range value from (0.958 × 10$^{-3}$ to 0.821 × 10$^{-3}$), with average values (1.173 ± 1.083 × 10$^{-3}$). These findings indicate that the chance of developing cancer is around 0.117%. Figure 7, Figure 8, and Figure 9, show the radiological impacts ($R a_{e q}$, hazard index ($H_{ex}$, $H_{in}$), and annual effective dose equivalent (in, out, and tot)) .



In Figure 7, Figure 8, and Figure 9, the radiological effects in Al-Muthanna brick factories are influenced by three key factors: geological sources affecting natural isotope concentrations, combustion efficiency related to furnace temperatures impacting radioactive isotope concentrations, and the physical properties of bricks, including porosity and density, which determine radon exhalation rates and radiation doses.
4. Compare Gamma Emitter Results to Other Research
As indicated in Table 7 and Table 8, the mean specific activities of $^{238}$U, $^{232}$Th, and $^{40}$K obtained in this study were compared with global and local data. According to Table 7, $^{238}$U, activity in the current samples was lower than levels reported in Jordan, yet surpassed those recorded in Saudi Arabia, Turkey, and Iran. Similarly, the average $^{232}$Th, concentrations were higher than values from Saudi Arabia, Turkey, and Iran, but remained below those found in Jordan. For $^{40}$K, the activities exceeded levels in Jordan and Turkey while remaining lower than those in Saudi Arabia and Iran.
Regional comparisons within Iraq, as shown in Table 7, revealed that the average specific activities of $^{238}$U, and $^{232}$Th, in the Al-Muthanna Governorate were higher than those in Babylon, Najaf, Missan, and Karbala. Furthermore, $^{40}$K, levels were higher than in Karbala, Babylon, and Najaf, but lower than the activities recorded in Missan.
No. | Countries | Specific Activity (Bq/kg) | Reference | ||
238U | 232Th | 40K | |||
1 | Saudi Arabia | 14.22 | 14 | 968.19 | [14] |
2 | Jordan | 49 | 70 | 291 | [15] |
3 | Iran | 23 | 31 | 453 | [16] |
4 | Turkey | 7.4 | 9.5 | 35.7 | [17] |
Iraq (Al- Muthanna) | 33.776 | 33.848 | 411.402 | Present study | |
No. | Governorate | Specific Activity ( Bq/kg) | Reference | ||
238U | 232Th | 40K | |||
1 | Missan | 21.19 | 9.72 | 453.91 | [18] |
2 | Karbala | 19.45 | 24.47 | 245.1 | [19] |
3 | Babylon | 16.07 | 9.60 | 271.42 | [20] |
4 | Najaf | 17.48 | 8.59 | 298.31 | [21] |
Iraq (Al- Muthanna) | 33.776 | 33.848 | 411.402 | Present study | |
5. Conclusions
The findings of this study demonstrate that the specific activities of $^{238}$U, $^{232}$Th, and $^{40}$K, in Al-Muthanna brick samples are significantly lower than the global average levels reported by UNSCEAR. These low concentrations are primarily attributed to the geological characteristics of the raw clay materials sourced from the Al-Muthanna region. Furthermore, the calculated radiological hazard indices, including $R a_{e q}$ and ELCR, remain well below unity and international safety limits. Consequently, the usage of these bricks in construction does not pose a deterministic or stochastic health risk to the public. Compared to previous studies in neighboring regions, these bricks exhibit a higher radiological safety profile. To maintain these safety standards, periodic screening of raw materials is essential to account for potential geochemical variations in clay deposits.
Conceptualization, A.A.F.A.; methodology: A.A.F.A.; field sampling, A.A.F.A.; experimental laboratory measurements, A.A.F.A.; formal analysis, A.A.F.A.; writing—original draft, A.A.F.A.; resources, K.H.H.A.; supervision, K.H.H.A.; validation, K.H.H.A.; writing—review & editing, K.H.H.A.; data curation, R.M.O.A.; validation of formal analysis, R.M.O.A.; final review and formatting, R.M.O.A. All authors have read and agreed to the published version of the manuscript.
The data used to support the findings of this study are available from the corresponding author upon request.
The authors wish to express their sincere gratitude to their supervisors for their invaluable guidance, continuous support, and academic encouragement throughout the duration of this research. Special thanks are also extended to the University of Babylon—specifically the Faculty of Education for Pure Sciences (Department of Physics) and the Faculty of Science—for their academic support and for providing the necessary research facilities. Furthermore, The authors would like to thank the management of the brick factories in Al-Muthanna Governorate for their outstanding cooperation during the sample collection process.
The authors declare that they have no conflicts of interest.
