Fifteen different types and different origins of food wares were collected from commercial suppliers as shown in Table 1. These samples were crushed, grounded, sieved by 1 mm × 1 mm, and dried to 105˚C for 24 hr. not to lose the volatile ¹³⁷Cs or the natural polonium and to remove moisture. Twenty gm of the dried samples were kept for analyzed by XRD and Atomic Absorption spectroscopy. For radiometric analysis, each dried sample was weighed and transferred to 640 cc poly-ethylene Marinelli beakers then sealed and stored for 2 - 4 months to stop the escape of Radon gas and to get the radioactive secular equilibrium between ²³⁸U, ²³²Th and their progenies.

Ten gm of the dried samples were analyzed by XRD spectrometer model Burker XR-D D8 Advance for the chemical and mineral compositions. Ten gm of the samples were used for the analysis by Atomic Absorption spectrometer model OPTIMA 4000 DV Series Perkin Elmer for the Al, Bi, Pb, U, Th, and K concentrations. The samples were analyzed non-destructively, using gamma-ray spectrometry with Canberra high purity germanium (HPGe) coaxial detector with relative efficiency of 25% and FWHM 2.0 keV at 1332 keV, of ⁶⁰Co. Genie 2000 basic spectroscopic software was installed in the computer for data acquisition and analysis. The system was calibrated for energy using standard gamma-ray sources and absolute efficiency. The lowest detection limits (DL) of HPGe detector system were 0.33, 0.27, and 2.31 for ²²⁶Ra, ²³²Th, and ⁴⁰K respectively for a counting time of 82,800 seconds. An empty polyethylene Marinelli beaker was placed in the detection system for this time period in order to collect the background count rates. Then, each sample was measured during a same accumulating time.

The concentrations of ²²⁶Ra, ²³²Th-232 and ⁴⁰K were determined from the average concentrations of gamma ray lines of energies tabulated in Table 2. There is secular equilibrium between the ²²⁶Ra and its daughters ²¹⁴Pb, ²¹⁴Bi. For ²³²Th, the secular equilibrium is between the ²³²Th and its daughters ²²⁸Ac, ²¹²Bi and ²⁰⁸Tl. The concentration of ⁴⁰K is determined.

Determination of activity concentrations in Bq/kg dry weight was calculated using the equation (Younis et al., 2018):

A c ( Bq / kg ) = N c / m (1)

where: N_c is the net count area of the gamma line for the measured sample (counts/second), m is mass of the sample, ϵ is the absolute efficiency of the spectrometer at the photo-peak energy and β is the probability of emission of the gamma ray. Exposure to radiation has been defined in terms of the radium equivalent Ra_eq Bq/kg which is calculated from equation (UNSCEAR, 1993).

R a e q = C R a + ( C T h × 1.43 ) + ( C K × 0.077 ) (2)

where: C_Ra, C_Th and C_K are the concentrations in Bq/kg dry weight for radium, thorium and potassium respectively. The total air absorbed dose rate (nGy/h) in the outdoor air at 1 m above the ground due to the activity concentrations of ²²⁶Ra, ²³²Th and ⁴⁰K (Bq/kg) dry weight was calculated using the equation (UNSCEAR, 2000; Veiga et al., 2006).

D ( nGy / h ) = 0.427 C R a + 0.623 C T h + 0.043 C K (3)

where: C_Ra, C_Th, and C_K are the specific activities (concentrations) of ²²⁶Ra, ²³²Th and ⁴⁰K in Bq/kg dry weight respectively. The annual effective dose equivalent D_eff (mSv/y) in air was calculated using the values of the absorbed dose rate by applying the dose conversion factor of 0.7 Sv/Gy and the outdoor occupancy factor of 0.2 (people spend about 20% of their life outdoor) the Annual Effective Dose (in mSv/y) received by population can be calculated using equation (UNSCEAR, 2000):

D e f f ( mSv / y ) = D ( nGy / h ) × 8766   h × 0.7 ( Sv / Gy ) × 0.2 × 10 − 6 (4)

where: D (nG/h) is the total air absorbed dose rate in the outdoor. 8766 h is the number of hours in 1 year. 10⁻⁶ is conversion factor of nano and milli. To limit the annual external gamma-ray dose to 1.5 Gy for the samples under investigation, the external hazard index (H_ex) is given by the equation (El Aassy Ibrahim et al., 2011):

H e x = C R a / 370 + C T h / 259 + C K / 4810 . (5)

X-ray diffraction is a non-destructive analytical technique, which provides detailed information about the atomic structure of crystalline substances, chemical composition, and physical properties of materials. It is a powerful tool in the identification of minerals in rocks and soils (Harris & White, 2008). The minerals of 15 samples analyzed by XRD spectrometer are shown in Table 2. The results show that the major mineral constituent of all samples (except P4) is quartz (SiO₂). As expected, most common type of clay (ceramic products are clay-based) consists of kaolinite, mica, quartz (SiO₂), and feldspar (a group of rock-forming tectosilicate minerals). While Porcelain is mostly kaolinite (Al₂Si₂O₅(OH)₄) and is defined as glazed or unglazed glassy ceramic. Minor element in porcelain samples is mullite (Al₆Si₂O₁₃) except sample 7, its minor element is Albite (NaAlSi₃O₈). In ceramic samples minor elements vary from sample to sample as well as trace elements in all samples. Table 3 represents the mineral chemical composition and its description (Don Leet et al., 1982).

Table 4 lists the results of the concentrations for 15 porcelain and ceramic samples for sex elements (Al. Pb, Bi, U, Th, K) are measured by atomic absorption spectroscopy. Ceramic and porcelain include Aluminum (Al) in the form of aluminum oxide (Al₂O₃), Aluminum is considered to be a non-essential element and is known to be toxic to different species, the toxicity depends on its form in solution. Results show that the concentrations (ppm) of Al ranged from 4.56 (P2) to 15.97 (C10), with mean 10.3 (ppm) (10%) which is less than the acceptable value (11%) (Lehman, 2002). Lead (lead oxide (PbO)) glazes used on many kind of porcelain and ceramic food wares. Lead is high toxicity element when absorbed into the body, depending on the size and shape of the wares. It is harmful to human health at high concentrations, the allowed limit is 0.2 ppm (European Community, EC, 2005). Lead concentration mean value is 1.65 ppm. Bi concentrations for all samples were lower than (DL < 10). For U, concentrations were lower than (DL < 5) except samples C9 and C11 (7.67 and 11.84) respectively, these values are much less than values measured by gamma spectroscopy (C9: 93.8, C11: 144.8). Thorium is found almost everywhere, and it can be absorbed through food, drinking water, and in air. Thorium has no known biological function. Th concentrations ranged from LDL (<1) (P2) to

52.88 ppm (P3), Th concentrations for all samples (accept P1, P2, P4) were much greater than the acceptable value 7.24 ppm (Rudnick et al., 2004). Potassium is the eighth most abundant element in the Earth’s crust (2.1%) (Emsley, 2001), it is found in almost all solids on Earth It is not found in pure form in nature, but in from of compounds. Potassium is an essential element for all organisms. Potassium toxicity, a condition called hyperkalemia, is very rare the potassium concentrations in ppm range from 2079.09 (P1) to 48205.50 (P5), where the mean is 24974.54 ppm (2.5%), which is greater than the acceptable value (1.92%) (Heiserman, 1992).

Figure 1 shows a comparison between samples activity concentration values for ²³²Th, and ⁴⁰K were measured by Gamma-Ray Spectrometry and samples concentration values for Th, and K measured by Atomic Absorption Spectrometer. Both analysis results are in a good agreement and this means that the geochemical analysis (Atomic Absorption Spectrometer) can determine the concentrations of elements in the minerals with reasonable values.

Porcelain and ceramic samples were measured using the gamma spectrometer. The results in Table 6 show that: There is secular equilibrium between the ²²⁶Ra and its daughters ²¹⁴Pb, their activities were used to calculate the concentrations of ²²⁶Ra in Bq/kg dry weight. Their ranged were from 11.51 (P2) to 192.67 (P7). Samples show high radium in samples P3 (184.68) and P7 (192.67). The decay of short half-life daughters ²²⁸Ac, ²¹²Bi, and ²⁰⁸Tl were used to determine the activity concentrations of ²³²Th, since there is secular radioactivity equilibrium in ²³²Th series. The activity concentrations in Bq/.kg dry weight of ²³²Th were varied form 13.01 (P4) to 184.04 (C10). Activity concentration values in Bq/.kg dry weight for ⁴⁰K were from low value 67.10 (P1) to high value 1736.30 (P3). The ²²⁶Ra, ²³²Th and ⁴⁰K activity concentrations were varied, this is due to the mineral constituents (Table 3), of the studied samples. The high value of ²²⁶Ra was in porcelain sample (P7), ²³²Th highest concentration was in ceramic sample (C10), for ⁴⁰K, the highest concentration was in porcelain sample (P3), this is due to the chemical composition of these sample (Table 5).

The mean concentrations of ²²⁶Ra, ²³²Th and ⁴⁰K are greater than the mean values reported by UNSCEAR (Table 6). So, there is necessary need for more specific rules for buy and sale these local and imported housewares. Figure 1 shows the Activity concentrations (Bq/kg) of ²²⁶Ra, ²³²Th and ⁴⁰K.

A comparison between the results of activity concentrations for ²³²Th, and ⁴⁰ measured by γ -Ray spectrometer and concentrations values for Th, and K measured by A. A. Spectrometer. Both analysis results are in a good agreement and this means that the geochemical analysis (Atomic Absorption Spectrometer) can determine the concentrations of elements in the minerals with reasonable values, shown in Figure 2.

* UNSCEAR (2000).

The distribution of natural radionuclides in the samples is not the same. Therefore, radiological index has been used to estimate the actual activity values of ²²⁶Ra, ²³²Th and ⁴⁰K in the samples and the radiation hazards accompanied with these radionuclides (the radium equivalent activity Ra_eq, absorbed dose rate D, the annual effective dose rate D_eff, and external hazard index H_ex. The results were presented in (Table 7).

The values of the radium equivalent activities range in Porcelain from (58.83 to 551.25 Bq/kg). For Ceramic, the values of the radium equivalent activity range from (195.66 to 401.87 Bq/kg), its mean value for all samples is (302.61 Bq/kg), which is lower than the worldwide value (370 Bq/kg). The radium equivalent activities for samples (P: 3, 5, 6, 7 and C: 8, 10) are higher than the maximum admissible limit of 370 Bq/kg. The analysis of the data in Table 7 shows the variation of area for the same type of material. This is due to the place of origin, varied origin sources, different additives. More indices are useful to be found: gamma dose rate D (nGy/h), annual effective dose D_eff (mSv/year), and external hazard H_ix for analyzed samples. The mean value of D (nGy/h) is 140.15 is higher than the maximum admissible limit of 60 (nGy/h), D (nGy/h) exceeding should be taken into account in terms of radiation protection. It is therefore recommended that controls should be based on a dose range. D_eff (mSv/year) and H_ix are below the published admissible limit ≤ 1 and the risk is negligible (UNSCEAR, 2000).

* UNSCEAR (2000).