In soil and sand, the natural radionuclides consist mainly of 232Th and 238U and isotopes with their daughter products in addition to 40K. The natural radioactivity may vary from one type of soil to another; the sources of radioactivity in soil other than those of natural origin are mainly due to extensive use of fertilizers rich in phosphates for agricultural purposes  . The information of the concentrations and distribution of the radionuclides in these materials enable one to assess any possible radiological risks to human health   , and provide useful information in the monitoring of environmental contamination by natural radioactivity. Nationwide surveys have been carried out to determine the radium equivalent activity of building materials in many countries    . The reason for current interest is due to the fact that external radiation exposures from naturally occurring radionuclides materials (NORM) contribute, on average, of about 10% of the average annual dose to the human body from all radiation sources. It has been observed that naturally occurring radionuclides are present in soil    and sand which constitute a lived-in radioactive environment. In this study, we used The HPGe detector N-type for determining the activity levels of 226Ra, 232Th and 40K in soil and sand samples collected from Tiba area. ALPHA GUARD has been used for evaluating radon exhalation rate. It is well known that radon exhalation of soil samples is higher than sand samples because of the presence of relatively high uranium content in its natural formation  . The formatter will need to create these components, incorporating the applicable criteria that follow.
2. Materials and Methods
2.1. Sampling and Samples Preparation
In this study, 36 samples have been collected from Tiba city Luxor governorate, as presented in Figure 1, for more detailed descriptions. The soil sampling sites were randomly selected for the two types of samples (soil and sand) and samples were collected by a core method, in which cores of 10 cm diameter and 25 cm in depth were used to take samples (ASTM, 1986, 1983)  . Samples with large grain size were crushed to small pieces using mechanical crusher. Afterwards, the samples were ground to a fine grain size powder. Every powdered sample was mixed using electric shaker to obtain a homogeneous powdered sample. The reason of choosing this region because it is a new reclaimed area and there are no enough researches in it. The samples were divided to, 15 samples of soil and
Figure 1. Sampling location (Tiba, Luxor).
21 samples of sand. Some processes have been done on the samples before measuring the activity concentration for them, like the following: First, the samples dried in an oven at 105˚C, to get rid of moisture and water inside samples. Second, the samples sieved through 200 mesh, to optimize the grain size of the heavy mineral  . Third, each sample has been placed in a plastic container, which was sealed to avoid the escape of 222Rn and 220Rn from the samples. Moreover, the samples were left for one month at least to achieve equilibrium between 232Th, 226Ra, and their daughter products before radiometric analysis  .
2.2. Measuring Systems
1) Measurement activity concentration
Gamma-ray spectrometry is a commonly used technique for direct determination of the radionuclides in crustal and extra-terrestrial materials. The radioactive analysis in environmental samples often encounters with difficulty in measuring low levels of radioactivity. However, gamma spectrometry is a useful tool in the analysis of natural radionuclides at environmental concentrations. It is a relative method of assay and has the merit of being simple and essentially non-destructive technique. The method is based on the fact that the decay of the radioelements is accompanied by the emission of high energy gamma-rays in order of Kev to few-MeV. The applied low-level gamma-ray spectrometer is based on the high purity germanium (HPGe) detector with its electronic instrumentation. The detector is the coaxial closed end, closed facing window geometry with vertical dipstick cryostat with carbon composite window.
The detector-crystal has been shielded in a chamber of three layers starting with copper (30 mm thick), lead (100 mm thick) and finally cadmium (3 mm thick). This shield serves in reducing the background-radiation for the measuring sample to less than 1%. Figure 2 shows the block diagram of a low-level gamma-rays spectrometer, which consists of; the preamplifier, the main amplifier, multichannel analyzer, and the scalar or PC. Each sample was placed in face to face geometry over the detector for about 8 hours or more for the natural radionuclide’s (226Ra, 232Th and 40K) in soil and sand samples. Signals produced by the gamma-ray detector are amplified, stored and displayed by the multichannel analyzer as well as the energy spectra, i.e. the number of counts per unit time per energy interval.
Figure 2. Block diagram of a gamma-ray spectrometer.
The activity concentrations have been calculated from the intensity of each line considering the size and mass of the sample, the branching ratio for the gamma-decay, and the efficiency of the detector. The branching ratio is the statistical chance that a gamma-ray is emitted per decaying nucleus. The efficiency of the detector represents the probability that the emitted gamma-ray contributes to the line in the spectrum. Activity concentrations calculated from the intensity of several gamma-rays emitted by a nucleus are grouped together to produce a weighted average activity per nuclide. For activity concentrations of nuclides in the same decay series, the activity concentrations are grouped in a similar way.
The analysis of 226Ra and 232Th is based on the gamma-lines of the decay products in equilibrium with their parent nuclides. The specific activity of 226Ra of the samples has been determined through its daughters (214Pb and 214Bi) via the intensity of the 295.2 keV, 351.9 keV for 214Pb gamma-lines, and 609.3 keV, 1120.3 keV, 1764.5 keV for 214Bi gamma-lines. The specific activity of 232Th of the samples has been determined from its daughters (228Ac, 212Pb, and 208Tl) via the intensity of 209.3 keV, 338.3 keV, 911.2 keV, 969.0 keV gamma-lines for 228Ac, 238.6 keV gamma line of 212Pb, and 583.2 keV, 2614.6 keV gamma-lines of 208Tl, while the specific activity of 40K has been determined from the emission of 1460.7 keV gamma-line.
Before using the gamma-ray spectrometer for measurements, the following considerations have been made: energy calibration, detection efficiency calibration, and background measurements.
The specific activity concentration with Bq∙kg−1, of a nuclide and for a gamma-line (i) with energy E, is given by:
where, is the counts in a given peak (i) area, T is the sample counting lifetime, is the number of counts in background peak (i), t is the background counting time, is the number of gammas per disintegration of this nuclide (emission probability), M is the mass in kg of the measured sample, is the detection efficiency of the measured gamma-line energy.
If there is more than one peak in the energy analysis range for a nuclide, then an attempt to average the peak activities is made by using the weighted average nuclide activity. Moreover, the concentrations of the radiological hazard indices in the collected samples have been estimated, based on the measured gamma-ray photo-peaks, that emitted from the specific radionuclides in the 232Th and 226Ra decay series as well in 40K. The calculations depend on the establishment of secular-equilibrium for each sample, due to the much smaller lifetime of daughter radionuclides in the decay series of 232Th and 226Ra. More specifically, the 232Th concentration was determined from the average activity concentrations of 212Pb, 208Tl, and 228Ac in the samples, and that of 226Ra was determined from the average activity concentrations of the 214Pb and 214Bi decay products. Therefore, an accurate measurement of 232Th and 226Ra radiological activity concentrations has been made, whereas a true measurement of 40K concentration was achieved.
2) Measurement of the radon exhalation rate
To determine the 222Rn exhalation activity concentration in soil and sand samples, the ionization chamber Alpha GUARD PQ2000PRO along with the additional special equipment  has been used. The background of the detection system, without a sample, is measured for a few minutes before achieving any measuring. About 200 g of each sample was put into the degassing vessel. The Alpha-pump was switched on with the flow rate 1.0 min and 10.0 min flow, thus the 222Rn activity concentration will be recorded every 10 min. At equilibrium state, the buildup activity of exhaled radon inside the emanation container is as follows:
where Α0 is the total value of the activity concentration in Bq/m3 and λ is the decay constant of the radon nuclide. The radon exhalation rate of the concerned sample per unit area, ES, which known as the radon flux that released via the surface of the material, can be calculated using the following formula   :
where V is the effective volume of the emanation container (2400 × 10−6 m3) and S is the total surface area of the sample (0.01130 m2), which equals the cross-sectional area of the emanation container. By analogy of Equation (3), the radon exhalation rate per unit mass of the concerned sample EM is also calculated using the following formula:
where M is the sample mass.
3. Results and Discussions
3.1. Natural Activity Concentration
The activity concentrations of 226Ra and 232Th series, and 40K acquired from sand samples are ranged from 18.34 ± 4.24 Bq∙kg−1, 14.06 ± 3.66 Bq∙kg−1, 210.99 ± 14.467 Bq∙kg−1, respectively, and for soil samples vary from 15.916 ± 4.769 to 34.3073 ± 5.85 Bq∙kg−1, 12.9314 ± 3.59 to 40.244 ± 6.34 Bq∙kg−1 and 135.36 ± 11.63 to 528.144 ± 22.98 Bq∙kg−1, respectively. The measured activities values have been found within the acceptable range of radioactive concentrations reported by UNSCEAR  . A summary of measurements for the activity concentration in Bq∙kg−1 of the natural radioactivity due to 226Ra, 232Th, and 40k of different samples is presented in Table 1. The distribution of 226Ra, 232Th, and 40k activity concentrations in all samples are given in Figure 3 & Figure 4.
3.2. Radiation Hazard Indices
Radium equivalent activity (Raeq), Internal hazard index (Hin), External hazard
Figure 3. Distribution activity concentration (Bq∙Kg−1) of 226 Ra, 232Th and 40K for Tiba sand samples.
index (Ηex) and Gamma activity concentration index (Iγr), can be estimated by following equations respectively     :
3.3. Absorbed Dose Rate
The absorbed dose rate of gamma-ray, D, in nGy∙h−1 in the outdoor air at a height 1.0 m above the ground level can be calculated using the activity concentrations of 226Ra and 232Th series as well 40K isotope that measured in Bq∙kg−1 as the following equation of UNSCEAR-2000  :
Figure 4. Distribution activity concentration (Bq/Kg) of 226 Ra,232Th and 40K for Tiba soil samples.
The calculated absorbed doses in air for soil samples are ranged from 21.58 to 58.37 nGy∙h−1 with an average value 37.98 nGy∙h−1, while it for sand samples are ranged from 13.24 to 37.84 nGy∙h−1 with an average value of 25.85 nGy∙h−1. However, according to UNSCEAR-2000  , the dose rate in outdoor air from terrestrial gamma-rays in normal circumstances is about 57 nGy∙h−1. Consequently, the evaluated doses obtained in this study for all samples are lower than the worldwide average value of 57 nGy∙h−1, which attributed to the low of activity concentrations of 226Ra and 232Th series, as well 40K isotope.
While the results of Raeq, Iγr, Hin, Hex and D are given in Table 1.
3.4. Calculation Radium Content and Exhalation Rates in Soil and Sand Samples Collected from Tiba Region
Table 2 shows the average values for radium content in Bq∙kg−1, mass exhalation rate in Bq∙kg−1∙h−1, and area exhalation rate in Bq∙m−2∙h−1, for soil and sand samples collected from Tiba region. Figure 5 shows the average value for Radium content (a), mass exhalation rate (b), and area exhalation rate(c), for soil and sand samples. As results of the evaluation of these parameters, the average values for radium content, mass exhalation rate and area exhalation rate for soil samples are higher than of the corresponding values of the sand samples.
Table 1. Average radionuclide concentrations, radium equivalent activity, external hazard index, internal hazard index, representative level index and absorbed dose rate in different samples from Tiba, Luxor governorate.
Table 2. The average values for radium content (Bq∙kg−1), mass exhalation rate (Bq∙kg−1∙h−1) and area exhalation rate (Bq∙m−2∙h−1) for soil and sand samples collected from Tiba region.
High purity germanium was exploited to determine activity concentration for naturally occurring 226Ra, 232Th, and 40K radioisotopes in two types of samples (soil, sand) from Tiba area in Luxor governorate. Results show the average activity concentrations of 226Ra, 232Th, and 40K are 24.4 ± 1.4 Bq∙kg−1, 23.3 ± 1.1 Bq∙kg−1 and 302.2 ± 6 Bq∙kg−1, respectively for soil and 18.52 ± 0.8, 14.06 ± 0.5 and 210.9 ± 6 for sand. The results indicate that soil generally has higher natural radioactivity than sand in the same region. These values fall in the lowest range of the world values 30.35 and 400 Bq∙kg−1 for 226Ra, 232Th, and 40K respectively  . The radium equivalent activity (Raeq), internal hazard indexes (Hin), external hazard indexes (Hex), absorbed dose rate (D) and representative level index (I), for all samples under studying (soil-sand) were 81.07, 0.28, 0.21, and 0.59 respectively for soil samples, 65.81, 0.19, 0.14, and 0.40 for sand. The results indicate that the dose rates at 1 m above the ground from terrestrial sources in all samples under investigation were 37.98 and 25.85 nGy∙h−1 for soil and sand samples respectively. These values agree with the world average value reported by UNSCEAR  . These values present no hazards to human. The surface exhalation and mass exhalation rates for radon from these different samples were reflected by their radium contents. The result indicates that the exhalation rates are higher for soil samples from than sand samples. The overall average of mass exhalation rate for samples under investigation is 1.69 ± 0.12 Bq∙kg−1∙h−1 and the average value for surface exhalation rate for radon in different samples is 29.86 ± 0.35 Bq∙m−2∙h−1.
Figure 5. Average value for Radium content (a), mass exhalation rate (b), and area exhalation rate (c), for soil and sand samples.
The author would like to thank the staff of High Institute of Engineering and Technology at Eltod for their support.