Many of the planets in the Solar System are mainly consist of rocks. Rocks are composed of minerals, both of them are the fundamental of the Earth’s crust structure. The rocks have great economic uses, also, many rocks are frequently used decoratively especially crystalline igneous rocks and marble. The defining features of any rock, and thus the means by which it can be recognized and named, are a direct result of how it is formed. Igneous rocks are created when magma or lava crystallizes. Whereas Sedimentary rocks are formed by weathering and erosion of pre-formed rocks, transportation of the grains by the wind or a river system, and finally accumulation in water or on the land (Pellant & Pellant, 2014). The content and the percentage of minerals contained in the rocks are studied by X-Ray Fluorescence (XRF). XRF reports chemical composition to indicate the content and the percentage of element dominate the rock samples and to classify them (Jamaluddin et al., 2018). The distribution of naturally occurring radionuclides depends on the type and origin of rocks and the processes which concentrated them (Bezuidenhout, 2019). Natural radionuclides are over a wide present in environment of the Earth, which is arranged geological formations in Earth’s crust (rocks, soil, water plants and air). When the rocks are disintegrated by natural process, the resulting radionuclides are carried to the soil by rain and flows (Olufunmbi et al., 2016; Khan et al., 2018). Ra-226 and its daughter product effects are 98.5% of the radiological of U-238 series, the contribution of Ra-226 is often referred to instead of U-238 (Khandaker et al., 2017). In the present study, the X-ray fluorescence analytical technique was used to analyze igneous and sedimentary rock samples from Al-Atawilah (north of Al-Baha region), and to classify them based on the chemical composition, which is one of the main characteristics of the rocks. Silica (SiO2) is the vast majority mineral and its proportion is the most useful criteria of rock’s classification. The radionuclides activity concentrations of Ra-226, Th-232 and K-40 were determined in rock samples by Gamma-ray spectroscopy system includes hyper-purity germanium (HPGe) detector, and to estimate the doses originate from the existence of the natural radionuclides in the classified rocks.
2. Methods and Materials
2.1. X-Ray Fluorescence Spectroscopy
X-ray fluorescence (XRF) spectroscopy is a non-destructive instrumental technique that enables to determine the chemical composition of a sample based on the measurements of the intensities and wavelengths of their spectral lines produced by secondary excitation. Figure 1 shows X-ray fluorescence mechanism of an atom. An X-ray primary beam irradiates the sample and excites each chemical element to produce fluorescent (or secondary) X-rays. These emitted X-rays are characteristic of the atom, that give the qualitative analysis of the element. The energy of the emitted X-ray photon is the energy difference between the two levels (initial and final) involved in the electronic transition. The X-ray intensities of an unknown sample are compared to an appropriate standards, this provides quantitative analysis of the element. The measured sample can be of any form, powder, solid, liquid, and manufactured materials (such as wire and rod), etc. (Bertin, 1975; Kalnicky & Singhvi, 2001).
2.2. Gamma-Ray Spectroscopy
The samples have been preparing for the gamma spectrometric measurements as follows:
1) Eighteen igneous rock samples and twelve sedimentary rock samples were collected from Al-Atawilah (20.273351˚N, 41.358325˚E) north of Al-Baha region, southeast of Saudi Arabia (Figure 2).
2) All rocks samples were obtained at depth of 5 cm from the study region. The collected samples were dried, pulverized and then sieved through less than 1mm-mesh size (IAEA, 1989).
3) All crushed sieved rock samples were filled into Marinelli beakers, weighed and hermetically sealed for more than one month, in order to achieve the secular equilibrium between Ra-226 and Th-232 and their progenies (Onjefu et al., 2017; Chowdhury et al., 2020).
The gamma-ray spectroscopy is a rapid and nondestructive analysis used to measure of radionuclides activity concentrations in the rock samples. The detector had resolution of 2 keV at 1332.5 keV of Co-60 and relative efficiency of 25%. The detector is placed in a cylinder heavy lead to lessen the values of radiation background. The lead shield contains an internal concentric of copper to
Figure 2. Al-Atawilah location in Al-Baha region.
avoid interference X-rays by lead (Saher et al., 2013; Rosianna et al., 2020). For successful operation of HPGe detector, it is cooled to cryogenic temperature at least 12 hours before making measurements by liquid nitrogen (LN2) of −196˚C = 77˚K.
where NC is the net count area of the gamma line for the measured sample (counts/second), m is mass of the sample, is the absolute efficiency of the spectrometer at the photo-peak energy and β is the probability of emission of the gamma ray. The activity concentration of each nuclide is estimated from the mean concentrations of several energies for the same nuclide or nuclides in the series. Table 1 shows the radionuclides and their energies and branching ratios that used to estimate the activity concentrations of the rock samples under studying.
Absorbed dose rate can be derived from the activity concentrations obtained from the samples. Table 2 shows conversion factors of activity concentration to absorbed dose rate as reported by UNSCEAR, 2000. Thus, the absorbed dose rate (DR) can be determined by applying the following formula (UNSCEAR, 2000; Onjefu et al., 2017):
where CRa, CTh and CK are respectively the activity concentrations of 226Ra, 232Th and 40K.
3. Results and Discussion
3.1. Classification of the Igneous and Sedimentary Rocks Samples Based on Their Chemical Composition
Rocks are important in mapping of natural resources. Igneous rocks are encountered in geothermal environments. Igneous rocks especially very recent are
Table 1. Radionuclides used for the determination of the activity concentrations.
good indicators of volcanism hence heat source for geothermal system to exist. Sedimentary rocks play a major role in reconstruction of earth’s history, also important resources for coal and oil can which they be found in sedimentary environments. Geopressured and geothermal systems are hosted in sedimentary terrains (Mibei, 2014).
The igneous and sedimentary rock samples under investigation were classified based on the chemical composition obtained from X-ray fluorescence technique. Silica (SiO2) is the vast majority mineral and its proportion is the most useful criteria of rock’s classification. Table 3 shows the major detected oxides SiO2, Al2O3, Fe2O3, TiO2, CaO, MgO, Na2O, K2O, MnO, SO3 and P2O5 in the igneous and sedimentary rocks samples.
Table 3. Proportions of the major oxides in each sample in the igneous and sedimentary rocks samples.
1) Acid rocks (rhyolite & granite) are rich in SiO2 (over 65%), samples IGN01 and IGN02.
2) Intermediate rocks (andesite & diorite) have between 55% and 65% of SiO2, samples (IGN03-IGN12).
3) Basic rocks (basalt & gabbro) contain proportion of SiO2 from 45% to 55%, samples (IGN13-IGN18) (Pellant & Pellant, 2014).
The sedimentary rock samples (SED19-SED30) can be classified according to the SiO2 proportion as follows (Gray et al., 2014):
1) Quartz sand stone: contains about 78.33% of silica, sample SED19.
2) Greywacke: has about 66.06% of silica, sample SED20.
3) Shale: contain less than 60.28% of silica samples (SED21-SED30).
Sedimentary rocks form up to 66% of the earth’s crust. They consider the most of the rocks on the earth’s surface and are mainly found on the ocean floor basins which accounts to 70% of total area of the earth. Igneous rocks form the majority of 34% (Ehlers and Blatt, 1997). Also, the igneous and sedimentary rocks are classified based on chemistry and minerals, environment of formation and how they are formed.
3.2. Activity Concentrations
The activity concentrations of the rock samples under studying were tabulated in Table 4, the following findings can be recorded:
1) 226Ra activity concentration values of all igneous rock samples are less than the world average (50 Bq∙kg−1). Also, 226Ra activity concentration values of sedimentary rock samples (except for quartz sandstone sample (SED19)) are less than the world average (50 Bq∙kg−1) recommended by UNSCEAR, 2008.
2) 232Th activity concentrations in rhyolite (granite) samples and diorite (andesite) samples are mostly higher than that in gabbro (basalt) samples. All the activity concentrations of 232Th in the igneous rock samples are under the world average (50 Bq∙kg−1) recommended by UNSCEAR, 2008. All the values of 232Th activity concentration in the sedimentary rock samples (greywacke and shale) are under the acceptable value except for a slight increase in the quartz sandstone sample (SED19). The mean value of 232Th in sedimentary rock samples (12.04) is under the recommended value (50 Bq∙kg−1) reported in UNSCEAR, 2008.
3) 40K activity concentration values are varied in all igneous rock samples. All the igneous rock samples have 40K activity concentration higher than recommended value, except for diorite (andesite) sample (IGN05) and gabbro (basalt) sample (IGN13). 40K activity concentration values are measured higher than the acceptable value in all the sedimentary rock samples in this study except for (SED26, SED27, SED28 and SED29) shale samples. The calculated mean values of 40K in the igneous and sedimentary rock samples are higher than the recommended value reported in UNSCEAR, 2008 (500 Bq∙kg−1).
4) The fallout radionuclide (137Cs) is found in the most samples rocks under
Table 4. Activity concentrations of 226Ra, 232Th, 40K and 137Cs, and absorbed dose rate.
a. The results of the activity concentration and absorbed dose rate were reported in the reference (Al-Zahrani et al., 2020); b. ND: not determined.
investigation. The calculated mean values of 137Cs do not represent any radiologically important.
From the results of gamma-ray spectroscopy and X-ray fluorescence analysis techniques of the igneous and sedimentary rocks, it can be noted that the rock samples that have the lowest proportion of K2O reflect the lowest activity concentration of 40K (IGN13 in the igneous rock samples and SED26 in the sedimentary rock samples), similarly, highest 40K concentration in the rock samples attributed by highest K2O in these rock samples (IGN11 in the igneous rock samples and SED19 in the sedimentary rock samples).
3.3. Absorbed Dose Rate
Absorbed dose rate values for rock samples were shown in Table 4, and the following observations can be indicated:
1) In the igneous rock samples, the highest value of the absorbed dose rate was found in the granite (rhyolite) samples (IGN01 & IGN02), the diorite (andesite) samples (IGN07, IGN08, IGN09, IGN11, IGN12) and the gabbro (basalt) sample (IGN18). The calculated mean value of the absorbed dose was found within the population-weighted value of 84 nGy∙h−1 suggested by UNSCEAR, 2008. The range of the total absorbed dose rate of the igneous rock samples is approximately within the typical variety (10 - 200 nGy∙h−1) (Al-Zahrani, 2017).
2) All values of the absorbed dose rate in the sedimentary rock samples was found less than acceptable value except for that in sample (SED19). The calculated average value of the total absorbed dose is within the acceptable value of 84 nGy∙h−1 reported by UNSCEAR, 2008.
The results of chemical analysis employing X-ray fluorescence spectroscopy show the major oxides proportions of the samples under studying. The igneous and sedimentary rock samples were subdivided based on the major oxides proportions contained in each sample. Naturally occurring radionuclides were determined for eighteen igneous rock samples and twelve sedimentary rock samples using hyper-purity germanium (HPGe) detector. In the igneous rock samples, most gabbro (basalt) samples were recorded the lowest values of activities, while granite (rhyolite) and diorite (andesite) samples varied in the values of activities. Quartz sandstone sample had the highest activity concentrations in the sedimentary rock samples, this may due to the high proportion of SiO2 and K2O were contained by this sample. Greywacke sample recorded concentration of 40K higher than shale samples, while 226Ra and 232Th varied in the greywacke and shale samples. Fallout nuclide (137Cs) were found in the most rocks samples under investigated, the low mean values of 137Cs are not of radiologically important. The findings indicate the high dose rate in the granite (rhyolite) samples and most diorite (andesite) samples, therefore it is recommended to limit their usage in building materials and other uses, while the dose rate levels were low in all gabbro (basalt) samples (except for one sample), thus they are safe to use as well as all sedimentary rocks samples reported low values of the dose rate values (except for the quartz sandstone sample). The results of this study will help to explain the distribution of natural radionuclides in different rocks types of Al-Baha region.
We would like to thank the people in Saudi Geological Survey (SGS) who helped us in X-ray fluorescence analysis.
 Al-Zahrani, B. M., Alqannas, H. S., & Hamidalddin, S. H. (2020). Study and Simulated the Natural Radioactivity (NORM) U-238, Th-232 and K-40 of Igneous and Sedimentary Rocks of Al-Atawilah (Al-Baha) in Saudi Arabia. World Journal of Nuclear Science and Technology, 10, 171-181.
 Al-Zahrani, J. (2017). Estimation of Natural Radioactivity in Local and Imported Polished Granite Used as Building Materials in Saudi Arabia. Journal of Radiation Research and Applied Sciences, 10, 241-245.
 Bezuidenhout, J. (2019). The Relationship among Naturally Occurring Radionuclides, Geology, and Geography: Tsodilo Hills, Botswana. Journal of Radiation Research and Applied Sciences, 12, 93-100.
 Chowdhury, C. R., Khijmatgar, S., Chowdhury, A., Kumari, D., Lynch, E., & Gootveld, M. (2020). Radionuclide Activity Concentration in Soil, Granites and Water in a Fluorosis Endemic Area of India: An Oral Health Perspective. Journal of Oral Biology and Craniofacial Research, 10, 259-262.
 Gray, J. M., Bishop, T. F. A., & Wilford, J. R. (2014). Lithology as a Powerful Covariate in Digital Soil Mapping. In GlobalSoilMap: Basis of the Global Soil Information System (pp. 433-439). Leiden: CRC Press/Balkema.
 Jamaluddin, Darwis, A., & Massinai, M. A. (2018). X-Ray Fluorescence (XRF) to Identify Chemical Analysis of Minerals in Buton Island, SE Sulawesi, Indonesia. IOP Conference Series: Earth and Environmental Science, 118, Article ID: 012070.
 Khan, A. R., Mir, A. A., Saeed, S., Rafique, M., Asim, K. M., Iqbal, T., Rahman, S. U. et al. (2018). Classification of Rocks Radionuclide Data Using Machine Learning Techniques. Acta Geophysica, 66, 1073-1079.
 Khandaker, M. U., Nasir, N. L. M., Zakirin, N. S., Kassim, H. A., Asaduzzaman, K., Bradley, D. A., Hayyan, A. et al. (2017). Radiation Dose to the Malaysian Populace via the Consumption of Bottled Mineral Water. Radiation Physics and Chemistry, 140, 173-179.
 Nafee, S. S., Al-Othmany, D., Hamidalddin, S. H., Al-Zahrani, J., Alharbi, W., & Barashed, H. M. (2017). Measurement of Gamma Emitting Radionuclide for Assessment Environmental Hazards of Radiation in Rock and Soil Samples of Shabwah and Hadramout Regions, Yemen. Journal of Geoscience and Environment Protection, 5, 66-75.
 Olufunmbi, A., Akinjide, O., Moromoke, O., & Oluwafunmito, O. (2016). The Concentration of Natural Radionuclides in Soil Samples from the Practical Year Agricultural Farmland, University of Ibadan. Journal of Applied Physics, 8, 60-68.
 Onjefu, S. A., Taole, S. H., Kgabi, N. A., Grant, C., & Antoine, J. (2017). Assessment of Natural Radionuclide Distribution in Shore Sediment Samples Collected from the North Dune Beach, Henties Bay, Namibia. Journal of Radiation Research and Applied Sciences, 10, 301-306.
 Rosianna, I., Nugraha, E. D., Syaeful, H., Putra, S., Hosoda, M., Akata, N., & Tokonami, S. (2020). Natural Radioactivity of Laterite and Volcanic Rock Sample for Radioactive Mineral Exploration in Mamuju, Indonesia. Geosciences, 10, 376.
 Saher, M. D., Samia, M. E. B., Amany, T. S., & Najat, F. A. (2013). Natural Radioactivity Assessment and Radiological Hazards in Soils from Qarun Lake and Wadi El Rayan in Faiyum, Egypt. Open Journal of Soil Science, 3, 289-296.