3.1. Mechanical and physical properties
The fabricated glass of ρ (cm2/g) and Vm (cm3/mol) were plotted against the Ag2O insertion content, as illustrated in Figure 2. The ρ values increased systematically between 4.47 and 4.97 g/cm3, while the Vm decreased in values between 32.85 to 30.24 cm3/mol, with increasing Ag2O insertion ratio from 1 and up to 5 mol%. As the substitution process occurred by the TeO2-ZnO-Er2O3 with Ag2O content, the progress detected in density is due to the partial replacement of TeO2, ZnO, and Er2O3 with respective densities of 5.67, 5.61, and 8.64 g/cm3 by Ag2O, which has a density around 7.14 g/cm3.
The measured values of ρ, molecular weight (M, g/mol), and heat of formation (enthalpy) for the glass constating compounds were used to evaluate the constating compounds dissociation energy (Gi, kJ/cm3). After that, the total dissociation energy (Gt, kJ/cm3) was calculated, where Gt=∑xiGi, xi represents the constituting compound's molar fraction. The packing factor (Vi, cm3/mol) was also calculated based on each constituting element's ionic radius. The change in Vi and Gt with the Ag2O insertion ratio was presented in Figure 3. The Vi values were slightly changed from 13.074 to 13.095 cm3/mol while the Gt decreased from 53.348 to 52.291 kJ/cm3 when Ag2O partially replaced the TeO2, Er2O3, and ZnO. This behavior is due to the substitution of a small number of Te-O, Zn-O, and Er-O bonds with Ag-O bonds. The bond dissociation energy of the Te-O, Zn-O, Er-O are 354, 284.1, and 611 kJ/cm3, while it is 213 kJ/cm3 for Ag-O. Thus, the Gt decreases with increasing the Ag2O content in the fabricated glass samples.
Based on the estimated values of Vi and Gt, the mechanical moduli Young (E), bulk (B), Shear (K), and longitudinal (L) were predicted. Figure 4 displays the change in E, B, K, and L as a function of the Ag2O content. All of the mechanical moduli are slightly increased with increasing the Ag2O substitution ratio. The mechanical moduli are slightly increased between 42.460 -45.393 GPa, 20.277-23.538 GPa, 18.445-19.203 Gpa, and 44.870-49.142 GPa for E, B, K, and L moduli, respectively. The slight increase in the mechanical moduli is due to Vi and Gi values with slight variation as the Ag2O replaced the TeO2, ZnO, and Er2O3. The mechanical properties predicted using the M-M model were compared to those measured experimentally by Halimah et al., (2019) [35] and illustrated in Table 2. The data listed in Table 1 showed agreement between the experimental and M-M model results. This confirms the ability of the M-M model to predict the mechanical properties of such glass systems.
Table 2
The Mechanical and elastic properties were measured experimentally and estimated using the M-M model.
|
E (GPa)
|
B (GPa)
|
K (GPa)
|
L (GPa)
|
σ
|
H
|
Exp
|
M-M model
|
Exp
|
M-M model
|
Exp
|
M-M model
|
Exp
|
M-M model
|
Exp
|
M-M model
|
Exp
|
M-M model
|
TZEAg1
|
47.60
|
42.46
|
28.69
|
20.28
|
19.48
|
18.45
|
54.67
|
44.87
|
0.22
|
0.15
|
3.60
|
4.29
|
TZEAg2
|
50.24
|
43.06
|
34.47
|
20.95
|
19.98
|
18.60
|
61.11
|
45.75
|
0.25
|
0.16
|
3.24
|
4.25
|
TZEAg3
|
45.94
|
43.82
|
26.29
|
21.81
|
19.00
|
18.80
|
51.63
|
46.89
|
0.20
|
0.17
|
3.65
|
4.20
|
TZEAg4
|
44.78
|
44.38
|
24.20
|
22.49
|
18.79
|
18.95
|
49.25
|
47.75
|
0.19
|
0.17
|
3.87
|
4.16
|
TZEAg5
|
49.12
|
45.29
|
39.22
|
23.54
|
19.02
|
19.20
|
64.58
|
49.14
|
0.29
|
0.18
|
2.65
|
4.11
|
The values of σ and H are calculated based on the elastic moduli and displayed in Figure 5. The σ increased from 0.15 to 0.18, while the H values decreased from 4.29 to 4.11 GPa with increasing the Ag2O substituting TeO2-ZnO Er2O3 in the fabricated glass samples. The detected behavior is due to the replacement of many Te-O, Zn-O, Er-O bonds by Ag-O bonds.
The predicted values for shear and longitudinal moduli were utilized to calculate the shear velocity (νs) and longitudinal velocity (νl) where νl= (L/ρ)0.5 and νs= (K/ρ)0.5. The calculated values of νl showed that it takes values of 3168, 3160, 3155, 3147 and 3144 m/s for glass samples with 1, 2, 3, 4, and 5 mol % of the Ag2O content. Also, νs takes values of 2031, 2015, 1998, 1982 and 1965 for the same glass samples. The calculated values for νl and νs showed agreement with the experimental values reported by Halimah et al., (2019) [35]. For almost all samples except for glass with 2 mol % of the Ag2O, the experimental results have higher values than the theoretical results.
The fractal bond connectivity (d) is a critical parameter relating to the structure and derived by Bergman and Kantor [36]. It describes information about the glass dimensionality and network crosslinks. The calculated d values are 3.64, 3.55, 3.45, 3.37, and 3.26 for glasses TZEAg1, TZEAg2, TZEAg3, TZEAg4, and TZEAg5, respectively. The presented d values are closed to 3. Thus, the fabricated glasses have a 3D layer structure, as reported in ref [37]. In this regard, the evaluated d values were compared to those based on experimental measurements. There is an agreement between the theoretical and experimental d values for glass samples TZEAg1, TZEAg3, and TZEAg4. Still, there is a disagreement for glasses TZEAg2 and TZEAg5, where the experimental measurement showed that these glasses are 2D layer structure glasses.
3.2. Shielding features of the studied glass
In recent years the different materials are developed for radiation protection. Among these materials, the researchers are fabricated and modified several glasses forms to enhancement in their ability to attenuate the gamma and neutron radiation. The ability is measured and detected via many shielding factors such as linear attenuation coefficient (LAC), transmission rate (TR), half-value layer (HVL), lead equivalent thickness and the effective removal cross-section (ERSCFN).
Figure. 6 offers the variation of LAC with the incident gamma photon energy (Eϒ) and the chemical composition (Ag2O content mol %) of the studied glasses. It is balanced in Fig. 6 that the decrement of LAC values affected by the increment on Eϒ from 0.240 to 1.408 MeV. The high levels are disclosed in the low energy range namely the Photoelectric effect (PE) area. At low energy, 0.240 MeV the LAC rates altered from 1.01 to 1.11 cm−1 for TZEAg1 and TZEAg5, respectively. The attenuate incident photons with low energies increase owing to the PE cross-section where (σPE α E3.5). After that the incident energy Eϒ continuously elevated but the LAC values diminish where the Compton scattering interactions (CS) are dominant in the energy range above 0.1 MeV. The decrement is banded to the CS cross-section which is directly proportional to the reciprocal of the incident photon energy (σCS α E−1). The increment of Eϒ for several MeVs affects emotionally the LAC values to reach the minimum values where at 1.408 MeV, the values are 0.21 cm−1 and 0.24 cm−1 for TZEAg1 and TZEAg5, respectively.
The doped Ag2O content in the zinc erbium tellurite glasses also affected by the LAC values at the stationary incident photon energy as displayed in Fig. 6. The LAC values are influenced by the increment of Ag2O content from 1 to 5 mol % in TZEAg glasses, where the Mw raised from 146.85 to 150.28 g/mol for TZEAg1 and TZEAg5, respectively but Zeff diminished. For instance, the LAC values for the investigated glasses varied progressively in between 0.240 and 1.408 MeV with the following sequences: TZEAg1 (1.01-0.21 cm−1) < TZEAg2 (1.03.5-0.22 cm−1) < TZEAg3 (1.06-0.226 cm−1) < TZEAg4 (1.08-0.0.231 cm−1) < TZEAg5 (1.11-0.240 cm−1). This increment can be associated with the cross-sections PE interactions (σPE α\({ Z}_{eff}^{4-5}\), CS interactions (σCS α Zeff) and PP interactions (\({Z}_{eff}^{2}\)). in the studied photon energy ranges. Figure 7 illustrates the difference (Diff %) between the simulated LAC and the calculated using XCOM program. The positive difference was observed at low energy while it increased with the increment of photon energy.
Among the investigated TZEAg glasses, two fabricated (TZEAg1 and TZEAg5) are selected to compare their values of LAC with the commercial SCHOTT market glasses RS253, RS253 G18, RS323 G19, RS 360 and RS 520 [38] at the photon energy of cesium source (0.662 MeV) (Fig. 8). The linear attenuation coefficient (LAC) values for TZEAg1 and TZEAg5 were found to be higher than all commercial glasses except RS 520. Thus, the glasses under study are a candidate for applications in different radiation protection fields.
The half value layer (HVL) is the shielding parameter that was computed to detect the ability of the studied TZEAg glasses to reduce the Eγ in half. The HVL values depend on the Eγ and the density of the investigated glass. Therefore, the materials with the minimum values of HVL are significant and can be employed in the different shielding applications. It is obvious in Fig. 9 that the increment on HVL rates is directly proportional to the elevation of Eϒ from 0.015 MeV up to 5 MeV. For instance, at the low Eϒ range (0.015-0.08 MeV), the HVL values of TZEAg glasses increase from 0.003 to 0.045 cm for TZEAg1 and from 0.002 to 0.046 cm for TZEAg5. This displays the HVL values also impacted the addition of Ag2O content in the zinc erbium tellurite glasses.
As can be seen in Fig. 9, the HVL values diminish in all Eγ values with the insertion of Ag2O content increases from 1 to 5 mol %. The HVL rates dropped from 0.003 to 0.002 cm for TZEAg1 (density-4.47 g/cm3) and TZEAg5 (density-4.97 g/cm3), respectively. This means that the increase in density of TZEAg glasses leads to the HVL values being reduced. Consequently, TZEAg5 is the best-studied glass material that can be used in shielding applications where the incoming photon will travel for a shorter distance inside the TZEAg5 glass material.
The lead equivalent is a shielding factor describing the ratio of radiation attenuation which fabricated material offered compared to the pure lead element. The lead equivalent was calculated for the fabricated glass samples and presented in Figure 10 as a function of photon energy. Figure 10 showed that the lead equivalent increased with increasing the photon energy between 240 and 1408 keV. This means that the fabricated TZEAg glasses are more shielding effective at the end of the studied range (i.e., 1000 to 1408 keV). The lead equivalent varied between 0.136-0.349, 0.240- 0.358, 0.143- 0.368, 0.146- 0.377, and 0.150 -0.389 for glass samples TZEAg1, TZEAg2, TZEAg3, TZEAg4, and TZEAg5, respectively. The mentioned results also showed that the equivalent lead ratio was enhanced with the addition of Ag2O content.
The transmission rate (TR) was calculated for the fabricated TZEAg glasses. Figure 11 displays the TR changes versus the Ag2O content for the TZEAg glasses at different photon energy and glass thickness. Figure 11 depicts that TR values are affected by the gamma photons energy, glass thickness, and modifier type. Gamma photon energy has the highest effect on the transmission rate, where it is increased with an increase the photon energy. The increase in the TR is related to the incoming photons' penetration power, where the penetration power also increased with an increase in the photon energy. Thus, a thicker thickness is required to stop the gamma photons with high penetration powers. The TR increases between 0.0791, 0.427, 0.564, and 0.584 with increasing in photon energy between 240, 662, 1250, and 1406 keV, respectively, for 2.5 cm thickness of the glass TZEAg1. The TR's increase is linearly in the studied energy region due to the Compton Scattering interaction, which is the primary interaction in the investigated energy interval.
The second important factor affecting the TR is the glass thickness, where thicker glasses are better in stopping the incident radiations. The thicker glass layer strongly forced the gamma photons to interact with glass electrons and atoms; producing a high resistance for the passing photons. Thus, the LAC of the studied glass increase, and the photon TR decreases. At gamma-ray energy 662 keV, Figure 9b showed that the TR decreased from 0.698 to 0.166 with the increase of the glass TZEAg3 thickness from 1 to 5 cm.
Also, the modifier type plays a role in reducing or increasing the TR. Figure 11a, b, c, and d illustrate that the replacement of TeO2, ZnO, and Er2O3 by Ag2O is slightly reduced the TR values. This is related to the effective atomic number (Zeff) of the fabricated glass samples, where substituting of TeO2, ZnO, and Er2O3 by Ag2O resulting a slight increase in the Zeff of the fabricated glass. Thus, the LAC of the fabricated glass increases and the photons TR decreased. The TR at energy 240 keV and thickness 1 cm decreased from 0.362 to 0.327, increasing the Ag2O between 0 and 5 mol%, respectively.
The fast neutron mass removal cross-section ∑R (cm2/g) was calculated theoretically for the fabricated TZEAg glass samples, as illustrated in Figure 12a. The ∑R (cm2/g) takes values 0.01902, 0.01898, 0.01893, 0.01888 and 0.01884 cm2/g for glass samples with 1, 2, 3, 4, and 5 mol% of Ag2O. The reduction in the ∑R (cm2/g) is due to the replacement of Te, E, and Zn with Ag. The macroscopic cross-section of Te, Er, and Zn are 0.013408, 0.11522, 0.018648 cm2/g, while the Ag macroscopic cross-section is 0.014196 cm2/g.
Based on the calculated effective removal cross-section for the fast neutron, the removal cross-section ∑R (cm−1) was calculated and plotted versus the glass density, as presented in Figure 12b. The ∑R (cm−1) increases in the following order 0.08504, 0.08691, 0.08916, 0.09102, and 0.09362 cm−1 with increasing the glass density between 4.47, 4.58, 4.71, 4.82, and 4.97 g/cm3, respectively. Also, the relaxation length (λ, cm) was calculated and presented in Figure 12c versus the Ag2O content. The λ values decrease from 11.759 cm to 10.681 cm, increasing with the AgO2 between 1 and 5 mol%, respectively. This decrease is due to the replacement of lower macroscopic cross-section elements Er, Te by a higher element Ag. Also, the thickness required to absorb the half amount of neutrons is calculated and plotted as a function of the material density. It takes values 8.15, 7.97, 7.77, 7.61, and 7.40 cm for samples TZEAg1, TZEAg2, TZEAg3, TZEAg4, and TZEAg5, respectively.
Structural properties
X-ray diffraction
X-ray diffraction or also called XRD is one of the characterizations that is used to study the structural properties of the glass. In this work, the XRD was employed to identify whether the fabricated glass sample is amorphous or crystalline. The XRD spectra of the glass series are illustrated in Figure 12. The spectra were recorded at room temperature in the range of 20° ≤ θ ≤ 80°.
The XRD spectra as depicted in Figure 12 display a broad diffusion hump at the lower scattering angles proposing the presence of a lack of long-range structural order in the glass samples. The existence of a broad hump around 2θ = 30° or in other words, the absence of a sharp peak ratifies the non-existence of the crystalline phases in the material and affirms that both glass series are completely amorphous [39]. The increasing concentration of the dopant leads to the narrowing of the broad humps. It can also be further studied that the shift of the hump towards a high angle might be due to the lower values of d spacing between atomic levels that decrease the bond length. This statement had been supported by Cai et al. (2016) [40] had also reported that the non-existence of long-range atomic arrangement in the glass system proves the amorphous nature of the glass samples.
Fourier transform infrared spectroscopy
Fourier transform infrared (FTIR) is one of the non-destructive methods which provides information regarding the structure and vibrational properties of the elements that exist in the glass system. Nanda et al., (2015) had also reported that FTIR is one of the methods that can be used in determining the functional group of the elements as well as providing information about the vibrational modes of the molecules which exist in the disordered amorphous materials. The observable transmission bands in FTIR spectra attained for both glass series are in the range of 611-616 cm−1 which is presented in Figure 14. The assignments of the transmission spectra for silver-doped zinc tellurite glasses are tabulated in Table 3. The positions of the valley are related to the tellurite network as mentioned by Azlan et al., (2015) [41].
Table 3
Assignments of the peaks observed in the FTIR spectra of silver-doped erbium zinc tellurite glasses
FTIR peak position (cm−1)
|
IR assignments
|
611-616
|
Stretching vibration of TeO4 units (Kaur et al., 2016 and Mahesvaran et al., 2013)
|
The transmission band for the pure structural unit of tellurium oxide (TeO2) is positioned at 640 cm−1. Nevertheless, tellurium oxide subsists two different types of functional groups which are trigonal pyramid (TeO3) and trigonal bipyramid (TeO4) (Pavani et al., 2011). The TeO3 functional groups correspond to the Te-non-bridging oxygen while TeO4 corresponds to the Te-bridging oxygen. The transmission bands that lie in a range of 611-616 cm−1 are explained by the presence of the trigonal bipyramid structural unit [42]. This single band is considered to be broadened with the presence TeO2 structural unit [43]. On the other hand, the variation in the composition of the glass network might also affect the shifting of the functional group in the disordered amorphous material.
Meanwhile, structural units of zinc oxide, erbium oxide ad silver oxide are also not found in the transmission band of the glass system. The zinc lattice in the glass system is said to be broken down which causes the absence structural unit of zinc oxide as an additional functional group. However, at an early stage, the structural unit of zinc oxide will break down the Te-O-Te bonds that subsequently will form coordination effects known as dangling bond (non-bridging oxygen) forming (Te-O−…Zn2+…O-Te) bonds. Consequently, this will increase the formation structural unit of the trigonal pyramid but in return will reduce more structural units of trigonal bipyramid in the glass system [44]. The presence of both structural units of erbium oxide and silver oxide are also not evidenced which can be associated with low concentration.
Deconvolution technique
The transmittance results are then converted to absorbance data. The absorbance spectra results will be deconvoluted immediately. The deconvolute data will determine the area of every band which corresponds to each element that exists in the glass system. The deconvolution is implemented by using Origin 6.0 software and the result for deconvolution spectra is illustrated in Figure 14.
The FTIR spectra have been deconvoluted to identify the exact peak positions of the structural units which exist in the prepared glass. The peak position (xc) and amplitude (A) for all the peaks are observed after the deconvolution process. Then, the data is tabulated in Table 4. The assignments for each functional group in every element are attained from the deconvoluted FTIR spectra which are based on the information obtained from the literature done by previous researchers.
Table 4
Assignments of the peaks of erbium-doped and silver-doped zinc tellurite glasses using deconvolution technique
FTIR peak position (cm−1)
|
IR assignments
|
642-700
|
Stretching vibration of TeO4 units (Kaur et al., 2016 and Mahesvaran et al., 2013)
|
532-580
|
Anti-symmetric vibration of Te-O bonds in TeO3 units (Ayuni et al., 2011 and Noorazlan et al., 2013)
|
480-560
|
Stretching vibration of Er-O bonds in Er2O3 units (Bosca et al., 2009)
|
550-560
|
Stretching vibration of Ag-O bonds in Ag2O units (Coelho et al., 2012)
|
Table 5
Band center, B and band area, A of silver-doped erbium zinc tellurite glasses
Ag2O content
|
Peak position, B (cm−1) and band area, A (%)
|
0.01
|
B
|
619.29
|
702.58
|
499.21
|
611.93
|
|
A
|
20.93
|
40.93
|
58.40
|
42.97
|
0.02
|
B
|
665.81
|
752.44
|
481.00
|
596.28
|
|
A
|
40.65
|
18.82
|
81.50
|
32.13
|
0.03
|
B
|
616.60
|
683.48
|
500.35
|
607.07
|
|
A
|
27.20
|
57.02
|
48.60
|
21.16
|
0.04
|
B
|
650.32
|
698.81
|
520.53
|
618.89
|
|
A
|
29.58
|
28.53
|
46.75
|
15.15
|
0.05
|
B
|
659.42
|
744.12
|
485.13
|
592.32
|
|
A
|
36.00
|
18.55
|
69.55
|
25.51
|
Assignments
|
|
TeO4
|
TeO3
|
Er2O3
|
Ag2O
|
As mentioned earlier, the tellurite-based glasses consist of two structural units which are trigonal pyramid (TeO3) and trigonal bipyramid (TeO4). After the deconvolution process, the absorption band for both TeO3 and TeO4 groups lies in the range of 532-700 cm−1. The IR bands achieved for TeO4 stretching vibration are in the range of 532-580 cm−1 [42]. Meanwhile, the structural unit for TeO3 has been detected to present in the range of 642-700 cm−1 [45–46]. According to Ayuni et al., (2011) [45], the absorption band which lies in the range of 620-660 cm−1 represents the symmetrical vibration of Te-O bonds.
Based on Noorazlan et al., (2013) [46], there is still no presence of ZnO structural unit being formed which consists of ZnO4 and ZnO6 after the FTIR spectra have been deconvoluted. As mentioned before, the lattice structural unit of ZnO is broken down which provides no functional group of ZnO in the spectra for both glass series. The structural unit for Er2O3 presents in the range around 480 cm−1 and 560 cm−1 respectively. The existence structural unit of erbium oxide in the materials modifies the structure of the tellurite glass network [47] and there is also an existing structural unit of Ag2O in the glass system which falls in the range of 550-650 cm−1. According to Coelho et al., (2012) [48], the occurrence of shifting bands is due to the presence structural unit of silver oxide which breaks some of the bonds and modifies the structure of the glass system. The increment of both dopants concentration signifies the change of Te-O bond from TeO4 to TeO3 which indicates the creation of NBO’s that is followed by the shift of the primary structural unit of TeO2 to a higher wavenumber. The presence of the TeO4 structural unit acts as evidence towards the formation of BO’s at the same time.
The concentration of the structural units present in both glass systems can be attained using the following equation [49]:
\({N}_{4}=\frac{{A}_{4}}{{A}_{4}+{A}_{3}}\) (1)
where A3 and A4 represent the areas of TeO3 and TeO4 units and N4 is used to determine the concentration units for TeO4 or vice versa. The concentration of TeO4 and TeO3 units which is presented in both glass series are illustrated in Figure 16.
Figure 16 displays the concentration of TeO4 and TeO3 structural units against the molar fraction of silver oxide. The deconvolution process has determined the concentration of both TeO4 and TeO3 structural units as expressed in Equation 1. The variation of the concentration is attributed to the conversion of the structural units of TeO4 to TeO3 and vice versa. The presence of silver-doped zinc tellurite glass contributes to the changes in the tellurite network. Trigonal pyramid (TeO3) is assigned to the non-bridging oxygen (NBO) which tends to be converted into trigonal bipyramid (TeO4) structural units or vice versa as more concentration of dopants are included in the glass system. The role of dopants is strongly related to the concentration of trigonal bipyramid and trigonal pyramid structural units.