3.1. XRD analysis
The XRD spectrum of BaNi2-xZnxFe16O27 hexaferrite is displayed in Fig. 1. The investigated particles' phase compositions show that all of the impurities phases were W-type hexaferrites; no other phases were found. Put differently, this picture solely depicts a single phase of hexagonal ferrite of the w type. Additionally, it was discovered that the samples and the BaNi2 W-type hexaferrites structure of p63/mmc agreed well. With Zn doped BaNi2-xZnxFe16O27, the typical powder reflection information from JCPDS,54–0097 is equivalent. The relation (1) is used to calculate the lattice values for hexagonal constructions [13].
$$\:\frac{1}{{\varvec{d}}_{\varvec{h}\varvec{k}\varvec{l}}^{2}}=\frac{4}{3}\frac{{\varvec{h}}^{2}+{\varvec{h}\varvec{k}}^{\:}+{\varvec{k}}^{2}}{{\varvec{a}}^{2}}+\frac{{\varvec{L}}^{2}}{{\varvec{C}}^{2}}$$
1
where relation (1) is used to determine \(\:{\mathbf{d}}_{\mathbf{h}\mathbf{k}\mathbf{l}}^{\:}\) .
The variation of the lattice factors, an as well as c, and the ratio of c/a, with respect to the amount of zinc is depicted in Fig. 2. Because Zn2 + has a greater radius of ions (0.074 nm) than Ni2+ (0.069 nm), each lattice constants grow as one increases the Zinc content. Consequently, the ion's radius of replacement Zn2 + is higher than (0.074 nm) once it is more than (0.068 nm) of Ni2 + ion.
Figure_2.The relation between lattice parameters (a, c) and Zn2+ concentration for BaNiZnFe16O27
Figure_1. X-ray diffraction patterns for BaNiZnFe16O27
Optical measurements
In the ambient temperature, optical measurements were performed on all of the samples. UV-visible wavelengths of absorption were used to measure the spectrum optically transmitted of BaNi2-xZnxFe16O27 (x = 0.0, 0.4, 0.8, 1.2, 1.6, and 2), as indicated in Fig_3,a. As illustrated in Fig. 3.a, Every single sample were transparent at wider wavelengths (400 nm), and no light was absorbed or dispersed in the non-absorbing region (R + T = 1). The absorption region, or wavelength that is short (𝜆=400nm), is where absorption produces the disparity (R + T = 1). The samples' transmitted light border also slightly moves to the shorter wavelength length, suggesting that this energy gap will gradually widen as Zn concentration rises. It's also important to remember that transmittance increases with wavelength in all situations between 200 and 400 nm, with a notable exception of about 350 nm.
Every sample's transmission rises with wavelength around the 300–400 nm region before reaching the point of saturation at longer wavelengths. This substance can be used in reagents or solar energy cells due to its strong absorbance at wavelengths of 350 nm. Transmission is highest in the visible and infrared regions of the spectra and lowest in the ultraviolet spectrum. Figure 3.b illustrates how absorbance always decreases with wavelength; as a result, the absorbance was highest in the visible range at 334 nm and in the ultra violet zone at 234 nm. Moreover, the optical density falls with increasing Zn content. The absorption edge moves to the shorter-wavelength side as the concentration of zinc rises. Additionally, as the wavelength lengthens, it gets smaller. This implies that an electron's charge cannot be moved from the band of valence to the band of conduction by an incoming photon because its energy is not high enough to cross the energy gap. Transmission usually highest in both the visible as well as infrared regions of the spectrum and lowest in the ultraviolet. However, it is clear from Fig. 3's depiction of the spectrum's reflectance as an indicator of wavelengths that the spectrum of absorption behaves differently from the transmission spectra. Fig_3,a displays the refraction coefficient of the composite against wavelengths within the 200 nm–800 nm region. It is evident that the reflectance drops with increasing Zn concentration in the composite, whereas the reflection vs. wavelength profile stays constant. This suggests that there is minimal absorption within the near infrared and visible wavelength regions.
Absorption Coefficient(α)
The coefficient of absorbent (α) was determined calculated [14], for instance using the flowing formula, which is,
α = 2.303A/t (2)
where (t) is the specimen's thickness and A is the absorbance of the sample.
In Fig. 1,d, the greatest absorption coefficient appears twice. The first time it does so in the violet spectrum at (334nm), where the absorption ratio is 30%. At those wavelengths, direct electronic transitions are anticipated (high photon energy). The ultra violet range, with a 70% absorption ratio at (λ = 270 nm), is where the scones were formed. The figure shows that for all ferrite samples, the absorbance coefficient value declines with increasing incoming wavelength up to a specific wavelength (320–300 nm) that varies depending on the ferrite sample; at this wavelength, in the visible region, the absorbance coefficient nearly becomes invariant. When a wavelength (λ < 220nm) drops, absorption coefficient levels in the UV area also decrease. This is because of the absorption characteristics of the Zn element.
Extinction Coefficient (K)
One important characteristic of a substance's makeup that shows its ability to absorb it absorbed light at a particular wavelength is its wavelength extinction coefficient. It is computed as the proportion of light lost by absorption and scattering per unit average distance. Additionally, the fraction of light lost by absorption and scattering per unit distance is measured by the coefficient of extinction (k), which may be computed using Eq. (3) [15].
. K = αλ⁄4π (3)
In figure_3,c. It has been shown that the behavior of the sample's extinction value as a function of wavelength is comparable to that of the absorption coefficient. As the wavelength lengthens, it grows smaller. As zinc levels grow, the extinction coefficient value decreases.
The amount of light that is dissipated at this place as a result of scattering and absorption is indicated by its extension coefficient. Furthermore, it was demonstrated that the curved coefficient of absorption and curve (k) had the same character.
Optical Band Gap
Another crucial characteristic needed for optoelectronic device development is the optical gap of the band. Using the formula [16]:
α = \(\:\frac{{A\left(hEg\right)}^{n}}{h}\) (4)
allowed for the calculation of the optical band gap from the coefficient of absorption optical α. Here, A is the constant that depends on the likelihood of the transition. The optical band gap is represented by the symbol Eg, the photon energy is represented by hv, and the constant n is equal to 1/2 or 2 for permitted direct or indirect transitions and 3 or 3/2 for prohibited direct or indirect transition probabilities. The Tauc plots (αhυ)2 vs(hυ) graph was used to compute the optical energy band gaps (Eg). Figure 4 plots the (αhν)1/2 against (hυ) curves to assess the indirect band gap value of the obtained samples.
Due to the existence of two distinct slopes, the (αhv)1/2 against (hυ) curves have an S-shape, which suggests that phonons are involved in the absorption process [17–18]. Figure 4 displays the plots from the synthesized samples. The energy of the indirect band gap (Eg). obtained for each of the synthesized samples by extrapolating the straight line at (αhυ)1/2=0. The plots of the sample preparations are shown in Fig. 4. The energy value of the indirect band gap (Eg). For every variable sample that was synthesized, the anticipated indirect band values of energy for BaNi2-xZnxFe16O27 (x = 0.0, 0.4, 0.8, 1.2, 1.6, and 2) are shown in the table based on the assumption of a straight line at (αhν)1/2=0. 1. The results obtained show that a band gap expands (Fig. 4) with increasing Zn2 + level, which may be an indication of confined quantum processes [19_20]. It has been found that Eg can be influenced by crystallite size, with smaller crystallites producing more discrete levels of energy and, thus, higher Eg [21]. The blue shift observed in all Zn-doped specimens (x = 0.0, 0.4, 0.8, 1.2, 1.6, 2) suggests the possibility of visible-light photoactivity. The optical energy that exists in the band gap increases with particle size, in contrast to the characteristics of light in general. The blue shift observed in all Zn-doped specimens (x = 0.0, 0.4, 0.8, 1.2, 1.6, 2) suggests the possibility of visible-light photoactivity. Unlike the typical characteristics of quantum bonding, the band the gap's optical energy increases as particle size decreases. Paul ONOCHIE, et al. [22]. shown that when Zn concentration is raised, doping Zn2 + results in a band gap rise.
Table 1
shows the BaNi2-xZnxFe16O27 ferrites composites' optical band gap Values..
Sample
|
Zn Concentration
|
Band gap (ev)
|
BaNi2 Fe16O27
|
0
|
2.78 ev
|
BaNi1.6Zn0.4Fe16O27
|
0.4
|
2.89 ev
|
BaNi1.2Zn0.8Fe16O27
|
0.8
|
2.79 ev
|
BaNi0.8Zn1.2Fe16O27
|
1.2
|
2.91 ev
|
BaNi0.4Zn1.6Fe16O27
|
1.6
|
2.93 ev
|
BaZn2Fe16O27
|
2
|
2.94 ev
|
Refractive Index(n)
When evaluating materials with optical properties for use in integrating optical devices, it is important to consider their refraction index, which acts as an important design factor for the device. Nonetheless, the index of refraction (n) is regarded as being one of the most important properties of optical substances because of its connection to the local field within the material and the electronic polarisation of ions. The formula (5) [23] is used to compute the index of refraction.
n = [(1 + R)/(1-R)] +[(4×R)/(1-R)2-k2]1/2 (5)
the value of R stands for refraction, and k for the coefficient of extinction.
the coefficients of extinction for specimens in which Zn changes see Fig. 5. It's important to keep in mind that the refractive index is a measurement that rises with wavelength but starts to decrease in the visible spectrum. It can be shown that the refractive index generally drops with an increase in the quantity of Zn nanoparticles. For a more detailed description, the refractive index increases with increasing wavelength up to 334 nm and then drops with increasing wavelength. As the amount of Zn in the solution grows, the curve's form remains constant. With the increase in photonic energy and the increase in Zn content for the sample, the extinction coefficient values and refractive index generally show an increasing trend. the use of photonic energy This spectrum and dopant dependence of optical constants (n, k) will be important in establishing the materials' suitability for usage in optical data storage devices.
Optical Conductivity
A good method for examining the atomic structure of matter is optical conductivity. depends heavily on the material's refractive index and absorption coefficient and links the present density to a material's sensitivity to various light wavelengths in the electric field. The optical conductivity of BaNi2 − xZnxFe16O27 (x = 0.0, 0.4, 0.8, 1.2, 1.6, and 2) ferrite at different light photon energies with different Zn concentrations is investigated using Eq. (6) [24].
$$\:{\sigma\:}_{opt}=\frac{\:nc}{4}$$
6
α: is the absorbing coefficient, n is the refraction index, and c is the light velocity. BaNi2 − xZnxFe16O27 (x = 0.0, 0.4, 0.8, 1.2, 1.6, and 2) ferrite's optical conductivity is shown in Fig. 6 as a function of input photon energy.
. Observations reveal that the optical conductivity rises with the energy of light irradiation and that it starts to expand quickly at 5 eV and reaches a maximum value of approximately 5.5 eV. Its value is over 20 times higher than the preceding value.
The increase in the optical conductivity in the energy of photons range from 3.2 to 5.58 eV is responsible for the rise in coefficients of absorption in this region. Two optical conductivity thresholds exist because of the separate wavelengths in each of the regions. The discrete wavelengths at each of these regions have been accountable for the two photo conductivity peaks that are observed. There is a crucial wavelength in the visible and UV regions where this material appears to be more absorbent. As the Zn level of the samples decreases, so does their conductivity peak. Furthermore, it has been noted that the coefficient of absorption directly affects optical conductivity. However, these samples showed values of σopt in the ultraviolet wavelength range between 8.8 ×109 to 1×1011 s− 1 and in the visible light zone between 9.1x108 to 8.8x109 s− 1, indicating that the samples remain photosensitive. The samples' optical conductivity results agreed with previous research [25, 26, 27].
The relation [26] has been utilized to compute the electrical conductivity.
$$\:{\sigma\:}_{e}=\frac{2\:{\sigma\:}_{opt}}{\alpha\:}$$
7
Figure 7: the electrical conductivity of BaNi2-xZnxFe16O27 ferrites plotted versus length of wave
The electrical conductivity relationship with wavelength is seen in Fig. 7. The electrical conductivity dropped as the Zn content rose. But as the wavelength increased, it declined until it exceeded 400 nm, at which point it began to increase.
A dielectric material's degree of polarization as it responds to an applying electric field is indicated by its electrical susceptibility. A material's capacity to polarize in reaction to a field and, as a result, lower the overall electrical field inside the component increases with its electric susceptibility. Using the following relation, electrical susceptibility (χ) has been computed from the optical constants. [28]
$$\:{\epsilon\:}_{r}={\epsilon\:}_{^\circ\:}+4\pi\:{}_{C}={n}^{2}+{K}^{2}$$
$$\:{}_{c}=\frac{{n}^{2}-{k}^{2}-{\epsilon\:}_{0}}{4\pi\:}$$
which ε0 represents the constant for dielectric without either free carrier contribution.
Electrical susceptibility has an average value of about 0.0961 at wavelength = 800 nm. The electric susceptibility (χ) versus wavelength is shown in Fig. 8. The electrical susceptibility value fell between 2.8 to 0.86 as the Zn content rose.