Figure 1 shows the powder XRD patterns of selected compositions in the solid solution series (1-x)BNT–xBLT. No additional peaks, other than those from the perovskite phase, are detected in the XRD patterns suggesting the single phase nature of the different compositions. Rietveld refinement analysis of all the studied compositions of (1-x)BNT–xBLT are carried out using the monoclinic Cc space group. All the compositions gave reasonable good fit with low values for reduced and Rp. Table S1 (ESM) gives the results obtained from Rietveld analysis for all the studied compositions in (1-x)BNT–xBLT (0x0.20).
Figure 2 shows the variation of the monoclinic lattice parameters a, b, and c, as a function of BLT content in (1-x)BNT–xBLT. On increasing the BLT concentration, the lattice parameters ‘a’ and ‘c’ are decreased whereas ‘b’ is slightly increased. The ionic radius of Li+ is 0.92 Å and that of Na+ is 1.18 Å, for 8–fold coordination [21]. When larger Na+ is replaced by the smaller ion Li+, the unit cell volume is decreased (Fig. S1, ESM). The substitution of Li+ causes contraction of the unit cell, and hence corresponding changes are seen in the lattice parameters. The difference between the magnitudes of the lattice parameters for x = 0 and 0.2 in the values of ‘a’ and ‘c’ is obtained as approximately 0.02 Å. Although the lattice parameter ‘b’ showed a small increase, the difference is very small (~ 0.006 Å). The small increase in the value of ‘b’ could be due to the reduced distortion or tilting of the TiO6 octahedra in the unit cell on substitution of smaller Li+ for larger Na+.
It is interesting to note that the rates of decrease of the lattice parameters ‘a’ and ‘c’ are different above and below x ≈ 0.08. A large decrease in the values of the lattice parameters is observed between x = 0.08 and 0.16, above which the lattice parameters remain almost constant. Also, c ≈ a1/3, for x > 0.16. Similarly, the lattice parameter ‘b’ remains almost constant up to x ≈ 0.1 and after this concentration, a small increase is observed up to x = 0.16 and ‘b’ becomes almost constant again at higher Li+ concentrations. Similar changes are observed in the variation of the unit cell volume also (Fig. S1, ESM). Since the changes in the lattice parameters are very small with increasing Li content, it may be concluded that there is no major structural phase transformation as observed in the case of (1-x)BNT–xBKT, where the structure is found to change from monoclinic to tetragonal at higher BKT content [23]. The small change in the variation of the lattice parameters around x ≈ 0.1 may be due to the local structural changes, arising from the inhomogeneous distribution of the substituted Li ions in the lattice for x < 0.1. However, onset of a structural phase transition cannot be ruled out in this compositional region, even though good fits are obtained in the Rietveld refinement analysis, using the monoclinic structure in the entire compositional region studied. The fact that the lattice parameters become almost constant for x > 0.16 and all three lattice parameters show a major change in the compositional region 0.08 ≤ x ≤ 0.16 suggest a probable structural phase transition. If this is true, the compositional region 0.08 ≤ x ≤ 0.16 is likely to belong to a morphotropic phase boundary (MPB) region, as observed in the case of (1-x)BNT–xBKT [23].
Raman spectra of all the studied compositions are recorded and the changes in the Raman spectra as a function of composition in the BNT − BLT series are studied to get more insights in to the local structural changes with Li substitution. Raman spectra of different compositions of the (1-x)BNT–xBLT series, after baseline correction, are shown in Fig. 3. Raman spectra of BNT is similar to that already reported in the literature [24–29]. As observed in the case of the BNT–BKT series [24–25], the Raman spectra of the BNT–BLT solid solutions consist of three different regions. The band below 200 cm− 1 is due to the A-O vibrations in the ABO3 perovskite lattice, and in the present case it is likely to be due to Bi-O, Na-O and Li-O vibrations. The band observed in the 200−400 cm− 1 region in the Raman spectra belongs to the Ti-O vibrations and the band in the 400−800 cm− 1 region belongs to the vibration of the TiO6 octahedra [24].
If the substitution of smaller Li+ ion for larger Na+ in the BNT lattice causes contraction of the unit cell volume and local structural distortions, corresponding signatures are expected in the Raman spectra of the BNT–BLT solid solutions. The immediate observation from the Raman spectra, shown in Fig. 3, is the decrease in the area and the downward frequency shift of the band centered at ~ 135 cm− 1. In the case of BNT–BKT solid solution series, an additional band was observed in the 200−400 cm− 1 region which gave clear indication about the symmetry changes and phase transition [24]. Such prominent changes are not observed in the 200−400 cm− 1 and 400−800 cm− 1 regions in the Raman spectra of the BNT–BLT solid solutions. Detailed analysis of the Raman spectra is carried out by the deconvolution of each spectrum and the changes in the parameters are studied.
Raman spectra of the different BNT–BLT compositions are deconvoluted in to seven Gaussian peaks, after normalizing with respect to the intensity of the band in the 200−400 cm− 1 region. Figure 4 shows the deconvoluted Raman spectra of selected compositions, x = 0, 0.04, 0.08, 0.12, 0.16, and 0.20 in the (1-x)BNT–xBLT solid solution series. The band below 200 cm− 1 is fitted with one peak. The broad bands in the 200−400 cm− 1 and 400−800 cm− 1 regions are deconvoluted in to three peaks each. A small shift in the position of the A − O band of the BNT–BLT solid solutions is observed on Li+ substitution, with a small increase in the position of the band up to x ≈ 0.1 and a large decrease above this composition (Fig. S2, ESM). However, the area under the peak is found to decrease almost linearly with increasing Li content (Fig. S2). The band below 200 cm− 1 belongs to the Na − O/Li − O vibration since the Bi − O band cannot be observed in this frequency region due to the higher mass of the Bi3+ ion [25]. The variations in the peak position and area of the band are due the local structural changes due to Li+ substitution and the low frequency shift may be due to the diffusion of the smaller Li+ ions in the crystal lattice which will weaken the Li − O bond strength and results in some local symmetry changes.
As mentioned, the Raman band in the 200–400 cm− 1 region is due to the Ti-O vibrations. Figure 5 shows the variation of the position of the individual peaks in the 200–400 cm− 1 region with increasing concentration of BLT. On increasing the BLT concentration, the first two components show an upward frequency shift whereas the third component shows a different trend. For the first two peaks within this band, the positions of the peaks remain almost the same for x < 0.08 and x > 0.12, with a drastic increase between x = 0.08 and 0.12. Similar changes are observed in the case of the third peak also, except for a large drop for 0.08 ≤ x ≤ 0.12. Figure 6 shows the changes in total area under the band and the area under the individual peaks of the band in the 200−400 cm− 1 region with increasing Li content. The area under the individual peaks also show a major change between x = 0.08 and x = 0.12 as in the case of the changes in the peak positions.
Changes are also observed in the positions of the individual peaks of the Raman band in the 400−800 cm− 1 region due to the vibration of the TiO6 octahedra. A linear increase in the position of the individual peaks is observed on increasing the BLT concentration (Fig. S3, ESM). The total area and the areas under the first two peaks are increased whereas the area of the third peak is decreased with increasing BLT concentration (Fig. S4, ESM). Even though the total area increased almost linearly with increasing BLT concentration, the changes in the area of the individual peaks showed different trends below and above x = 0.08. The area of peak 1 is independent of x for x < 0.08 and then increased with x, area of peak 2 increased up to x = 0.8 and then remained almost constant, and area of peak 3 decreased up to x = 0.08 and then remained almost constant at higher x.
Thus, the changes in the parameters of the Raman spectra for the bands in the 200–400 cm− 1 and 400–800 cm− 1 regions suggest minor changes in the Ti-O bond length and some associated changes in the distortion of the TiO6 octahedra with partial substitution of Li+ for Na+ in Bi0.5Na0.5TiO3. Results from the XRD studies suggested minor structural changes above x = 0.08 in (1-x)BNT-xBKT and the Raman studies suggest that this is due to the minor changes in the coordination environment at the A- and B-sites in the perovskite lattice. Hence, corresponding changes in the ferroelectric polarization is expected which may lead to variations in the dielectric constant.
The dielectric constant of all the studied compositions of (1-x)BNT–xBLT, measured at 1 kHz, as a function of BLT concentration is shown in Fig. 7. The dielectric constant shows a small increase up to x = 0.08 which is shown in the inset of Fig. 7 and an abrupt change in the slope is observed above x = 0.08. For x ≥ 0.12, the dielectric constant remains almost constant. The maximum dielectric constant observed for the BNT–BLT compositions is 420. However this value is relatively small, when compared to the maximum dielectric constant observed for the BNT–BKT series which is 1800 [23]. For the BNT–BKT system, maximum dielectric constant is observed in the MPB region where the monoclinic and tetragonal phases co-exist. Such a phase transition and MPB region is not observed in the case of the BNT–BLT system. Also, the distortion of the monoclinic structure is relatively larger for the BNT–BKT system due to the larger size of the K+ ions. The observed dielectric constants of the different compositions of the BNT–BLT ceramics are relatively low when compared to the previous literature reports [19–20]. Lu et al reported a dielectric constant ̴ 800 for the x = 0.20 composition in the BNT−BLT series [19]. This is mainly due to the difference in the synthesis methods, processing conditions, density, sintering temperature and the pressure used for the compaction of pellets.
Figure 8 shows a comparison of the variations in the lattice parameter ‘b’, area under the first component of the Raman band in the 200–400 cm− 1 region and the dielectric constant of the solid solutions with increasing BLT concentration. The Raman band belongs to the Ti-O vibrations in the BNT–BLT solid solution. All the three parameters show similar variation, where the parameters are not much changed till x ≈ 0.08, a large increase is observed up to x = 0.12 and again the parameters remain independent of x in the range 0.12 ≤ x ≤ 0.20. Since the Raman parameter reflects the changes in the Ti-O bond with Li+ substitution, and a similar trend is followed by the lattice parameter ‘b’ as well as the dielectric constant, it may be concluded that the changes in the local symmetry contributed to the variations in the dielectric constant with the substitution of Li+ for Na + in Bi0.5Na0.5TiO3