Using the identified gamma peaks from the obtained spectra, the activity concentration A for the radionuclides 40K, 137Cs, 226Ra, 232Th, and 238U was determined. The concentration of 40K activity is calculated directly from its gamma line (1461.8 keV, yield = 10.67%). The radium (226Ra) activity concentration \(\varvec{A}\left({}_{88}{}^{226}\varvec{R}\varvec{a}\right)\) is calculated from the photo peaks of its daughters 214Bi (energy line 609.3 keV, yield = 46.3%) and 214Pb (energy line 351.9 keV, yield = 37.2%), which are provided by:
$$\varvec{A}\left({}_{88}{}^{226}\varvec{R}\varvec{a}\right)=\left(\frac{{\varvec{A}}_{\varvec{B}\varvec{i}}}{{\varvec{\sigma }}_{\varvec{B}\varvec{i}}^{2}}+\frac{{\varvec{A}}_{\varvec{P}\varvec{b}}}{{\varvec{\sigma }}_{\varvec{P}\varvec{b}}^{2}}\right)/\left(\frac{1}{{\varvec{\sigma }}_{\varvec{B}\varvec{i}}^{2}}+\frac{1}{{\varvec{\sigma }}_{\varvec{P}\varvec{b}}^{2}}\right)$$
1
,
where A is the activity concentration and σ is the uncertainty in A. The activity concentration A of 232Th is determined from the photo peaks of its daughters: 228Ac (line energy 911.60 keV, yield = 27.7%), 208Tl (line energy 583.0 keV, yield = 30.9%), and 212Pb (line energy 238.62 keV, yield = 44.6%), as given by:
$$\varvec{A}\left({}_{90}{}^{232}\varvec{T}\varvec{h}\right)=\left(\frac{{\varvec{A}}_{\varvec{A}\varvec{c}}}{{\varvec{\sigma }}_{\varvec{A}\varvec{c}}^{2}}+\frac{{\varvec{A}}_{\varvec{T}\varvec{l}}}{{\varvec{\sigma }}_{\varvec{T}\varvec{l}}^{2}}+\frac{{\varvec{A}}_{\varvec{P}\varvec{b}}}{{\varvec{\sigma }}_{\varvec{P}\varvec{b}}^{2}}\right)/\left(\frac{1}{{\varvec{\sigma }}_{\varvec{A}\varvec{c}}^{2}}+\frac{1}{{\varvec{\sigma }}_{\varvec{T}\varvec{l}}^{2}}+\frac{1}{{\varvec{\sigma }}_{\varvec{P}\varvec{b}}^{2}}\right)$$
2
,
When they are in secular equilibrium, the activity concentration of 232Th can likewise be estimated from the activity of 228Ra. Finally, the 235U activity concentration is calculated using the photo peak line (186.2 keV, yield = 57.2%) that overlaps with the 226Ra photo peak line (185.7 keV, yield = 3.28%). The activity of 235U is:
$$\varvec{A}\left({}_{92}{}^{235}\varvec{U}\right)=\varvec{A}\left({}_{88}{}^{226}\varvec{R}\varvec{a} \varvec{a}\varvec{t} 186\varvec{k}\varvec{e}\varvec{V}\right)-\varvec{A}\left({}_{88}{}^{226}\varvec{R}\varvec{a}\right)$$
3
.
Figures 3 and 4 show examples of the obtained gamma spectrum for samples 4 and 6. The highest number of counts per second in Fig. 2 is 20000 counts/s, whereas in Fig. 4 it is 2000 counts/s (the activity is one-tenth of the first one). This disparity may be explained by the varying uranium concentrations in some collected samples. Table 1 presents an overview of the obtained findings relating to the various samples. We have one sample from the Aqaba region in the south of Jordan, which gives a normal case, concerning the acceptable range of activity concentration.
The acquired data show that we have high activity concentration levels in numerous samples compared to the global average concentrations. The Aqaba sample demonstrates the typical activity. To ensure the accuracy of the results, we sent the samples to the Jordan Atomic Energy Commission (JAEC) for further examination using RID-SOP-006/Gamma ISO 18589-3 method. Consequently, the results of JAEC support the obtained values. Their results are tabulated in Table 2. Only the sample of Al-Lajjun6 shows 234Th with A = 36312 ± 500 and 137Cs with A = 6.65 ± 3.35 Bq/Kg. The results are compared with previous results obtained from other scholars from different regions in Jordan in Table 3. There is a large activity concentration in some of the studied samples concerning previous studies.
Table 1
The activity concentration A (Bq/kg) of the collected samples of the radionuclides (40K, 226Ra, 238U, 232Th, 235U)
Sample | A (40K) | A (214Bi) | A (214Pb) | A (226R) | A (238U) | A (232Th) | A (235U) | A (243Am) |
Samople0 | 110 ± 17 | 309 ± 4 | 610 ± 8 | 377 ± 4 | 3618 | - | 243 ± 13 | 3332 ± 370 |
Aqaba1 | 54 ± 13 | 223 ± 4 | 281 ± 4 | 250 ± 3 | 459 | 4.3 ± 0.7 | 43 ± 2 | - |
Al-Lajjun2 | 39 ± 33 | 1073 ± 10 | 1467 ± 11 | 1250 ± 7 | 6527 | - | 472 ± 11 | 199 ± 8 |
Al-Lajjun3 | 24 ± 10 | 205 ± 3 | 270 ± 3 | 234 ± 2 | 1451 | - | 102 ± 3 | 43 ± 2 |
Al-Lajjun4 | - | - | 16040 ± 115 | - | - | - | 2782 ± 54 | 789 ± 16 |
Al-Lajjun5 | - | 5526 ± 13 | 7502 ± 21 | 6037 ± 11 | 54147 | - | 3656 ± 69 | 709 ± 13 |
Al-Lajjun6 | 560 ± 71 | 3160 ± 23 | 4057 ± 21 | 3653 ± 15 | 4705 | 28.4 ± 0.3 | 463 ± 11 | |
Al-Lajjun8 | 61 ± 35 | 1985 ± 12 | 2770 ± 12 | 2378 ± 8 | 16743 | - | 1161 ± 23 | |
Al-Lajjun9 | 12 ± 20 | 1418 ± 7 | 1818 ± 8 | 1583 ± 5 | 4299 | - | 357 ± 8 | |
Range | 12–560 | 205–3160 | 270-16040 | 234–6037 | 459-54147 | 4.3–28.4 | 43-3656 | 43-3332 |
World average concentrations | 400 | - | - | 35 | - | 30 | - | - |
Table 2. Results of activity concentration obtained by Jordan Atomic Energy Commission A238U.
Table 3
Activity concentrations in Bq/Kg in different studied regions in Jordan
| Activity Concentration Bq/Kg (The average value of the studied Nuclei) |
Element/Region | 40K | 226Ra(238U) | 235U | 232Th | 238U | 137Cs |
Zarqa 2016 | 212.87 | 211.44 | | 11.10 | | |
Russaifa 2014 | 207.10 | 265.95 | | 0.895 | | |
THE NORTHERN JORDAN RIFT VALLEY 2009 | 156.0 | 33 | 2.2 | 11.2 | | 3.5 |
Maan 2014 | 138.1 | 57.7,44.9 | | 18.1 | | |
The types of cement in 2022 | 354.70 | 79.52 | | 30.99 | | |
Irbid 2013 Jordan University of Science and Technology | 312.39 | 20.84 | | 24.45 | 83.88 | 2.43 |
Amman Aqaba Highway 2003 | 560 | | | 82 | 84 | |
urban areas in the southern governorates of Jordan 2018 | 233 | 39 | | 23 | 45 | |
urban areas of the northern highlands of Jordan 2009 | 291 | 42.5 | | 26.7 | 49.9 | |
Jordan Research and Training Reactor 2018 | 340.3 | | | | | 2.94-25 |
each governante of Jordan 2019 | 309 | 42 | | 23 | | 3.7 |
Araba Valley, Jordan 2008 | 94–762 | | | 14.3–35 | 19-38.7 | |
The Aqaba Gulf 2010 | | 626 | | | 57–677 | |
Worldwide rang** | 140–850 | 17–60 | | 11–64 | | |
Worldwide Median Value* | 400 | 35 | | 30 | | |
Present Research | 12–560 | 234–6037 | 43-3656 | 4.3–28.4 | 459-54147 | 6.65 |
The external hazard index (Hex) is given by a model proposed by Krieger (1981):
$${H}_{ex}=\left(\text{A}{}^{226}Ra/370\right)+\left(\text{A}{}^{232}Th/259\right)+\left(\text{A}{}^{40}K/4180\right)$$
4
,
H ex must not exceed the limit of unity for the radiation hazard to be negligible. On the other hand, the internal hazard index (Hin) gives the internal exposure to carcinogenic radon and its short-lived progeny and is given by the following formula (Beretka and Mathew,1985):\(\)
$${H}_{in}=\left(\text{A}{}^{226}Ra/185\right)+\left(\text{A}{}^{232}Th/259\right)+\left(\text{A}{}^{40}K/4180\right)$$
5
,
The values of Hin must also be less than unity to have negligible hazardous effects of radon and its short-lived progeny on the respiratory organs (UNSCEAR, 2000). The gamma absorbed dose rate in the air out the doors, D at 1 m above the ground surface due to specific activity concentrations of 238U, 232Th, and 40K is defined as given in Eq. (6), to the effective dose received by adults. However, D values were calculated by the following equation (UNSCEAR-2000):
D(nGy h − 1 ) = 0.462A 238 Ra + 0.604A 232 Th + 0.0417A 40 K (6)
where \(\text{A}{}^{238}U\), \(\text{A}{}^{232}Th\) and \(\text{A}{}^{40}K\) are the activity concentration of 238U, 232Th and 40K in Bq/kg, respectively. Exposure Radiation is defined in terms of many parameters. Radium equivalent activity (Raeq) is a widely used hazard index. It is calculated, as given by Eq. (7), assuming that 370 Bq/kg of 226Ra, 259 Bq/kg of 23kg, and 4810 Bq/kg of 40K produce a gamma-ray dose rate (Beretka and Mathew, 1985):
$${Ra}_{eq}\left(\frac{Bq}{kg}\right)=\text{A}{}^{226}Ra+1.43\text{A}{}^{232}Th+0.077\text{A}{}^{40}K$$
7
,
where \(A{}^{226}Ra\), \(A{}^{232}Th\) and \(A{}^{40}K\) are the activity concentration of 226Ra, 232Th, and 40K in Bq/kg, respectively. Note the total value must be equal to or less than 370.
Annual Effective Dose Equivalent (AEDE) due to the activity of the samples was calculated using Eq. (8) (Emad Farrag 2016)
$$AEDE\left(mSv{y}^{-1}\right)=D\left(nGy{h}^{-1}\right)\times 8760\left(h{y}^{-1}\right)\times 0.2\times 0.7\left(SvG{y}^{-1}\right)\times {10}^{-6}$$
8
,
where the value 0.7 SvGy-1 is the conversion coefficient from the absorbed dose in the air to the effective dose received by adults, 8760 is the time in hours in one year, 0.2 represents the outdoor occupancy factor (UNSCEAR-2000), and is the observed dose rate. The calculated values are given in Table 4 :
Table 4
Hex, Hin, and the annual effective dose equivalent
Sample | Raeq (Bq/Kg) | D (nGy/h) | AEDE (mSv/y) | Hex | Hin |
sample 0 | 385.36 | 178.64 | 0.219 | 1.045 | 2.063 |
Aqaba 1 | 260.18 | 179.02 | 0.220 | 0.705 | 1.380 |
Al-Lajjun2 | 1253.21 | 579.13 | 0.710 | 3.388 | 6.767 |
Al-Lajjun3 | 235.67 | 109.11 | 0.134 | 0.638 | 1.270 |
Al-Lajjun 4 | ------- | ------ | -------- | -------- | ------ |
Al-Lajjun5 | 6036.86 | 2789.09 | 3.421 | 16.316 | 32.632 |
Al-Lajjun6 | 1643.56 | 1728.19 | 2.119 | 10.116 | 19.989 |
Al-Lajjun 8 | 2382.24 | 1101.18 | 1.350 | 6.434 | 12.866 |
Al-Lajjun9 | 1582.91 | 731.84 | 0.898 | 4.281 | 11.207 |