1 Introduction

Multilayer ceramic capacitors (MLCCs) are an important component in various electronic devices nowadays. Extensive investigations have been focused on the applications of dielectric properties, piezoelectric properties, and energy storage for MLCCs [1,2,3,4]. Among various lead-free perovskite materials for preparing MLCCs, (Ba1−xSrx)TiO3 (BST) ceramics attract lots of attention owing to their excellent dielectric performance and tunable Curie temperature (TC) [5, 6]. Through controlling Sr content, the phase structure and dielectric and ferroelectric properties of BST ceramics can be modified to meet specific requirements of capacitor applications. Recently, as an acceptor dopant, Mn2+ is usually utilized for the optimization of the electrical properties of BT-based lead-free ceramics [7,8,9,10,11]. Many studies found that Mn2+ acceptor-doping caused oxygen vacancies \({V}_{O}^{\bullet \bullet }\)in ceramics, resulting in forming [Mn2+-\({V}_{O}^{\bullet \bullet }\)] defect dipoles [7, 9, 10]. These results demonstrate that Mn2+ doping is conducive to improving leakage current, stabling dielectric constant, reducing dielectric loss, enhancing energy storage density, and lowing sintering temperature. For instance, Wang et al. reported that the leakage current was effectively suppressed in the 0.3 wt% Mn2+-doped BT-xBMH ceramics, and the x = 0.15 sample exhibited excellent dielectric thermal stability [7]. Zhou et al. found that the [Mn2+-\({V}_{O}^{\bullet \bullet }\)] defect dipoles in the Mn2+-doped 0.9BT-0.1BMN ceramics played a key role in improving breakdown electrical strength (EBDS) and energy efficiency (η) [9]. Additionally, some researchers also found that Mn2+ ions could transform into Mn3+ and Mn4+ ions when the ceramics were sintered at elevated temperatures in the air [8, 11]. Chen et al. clarified the relations between the Mn2+ ion ratio in total Mn ions and Ta2O5 dopant as well Mn ions occupation in the ABO3 lattice [8]. The solubility of Mn2+ ions in BT ceramics prepared by different routes had been well discussed [11]. However, the effects of Mn2+ doping and sintering condition on the structure, dielectric, and energy storage properties of BST ceramics have not yet been well investigated.

In the present work, the Ba0.8Sr0.2(Ti1−xMnx)O3 (BSTM, x = 0–0.005 mol) ceramics were designed and prepared. The effects of Mn2+ doping and sintering condition on the microstructure and electrical properties of BSTM ceramics were analyzed based on the roles of multivalence Mn and [Mn2+-\({V}_{O}^{\bullet \bullet }\)] defect dipoles. Our results indicate that Mn2+ doping helps improve the dielectric loss, and enhance the EBDS and energy density. High sintering temperature and prolonged sintering time facilitate grain growth, weaken the relaxation characteristics, and promote the valence transition of Mn2+, but raise the energy efficiency of BSTM ceramics.

2 Experimental procedure

Ba0.8Sr0.2(Ti1−xMnx)O3 (abbreviated as BSTMx, x = 0.000, 0.001, 0.003, and 0.005 mol) ceramics were synthesized via a solid–state sintering technique. According to the chemical formula of BSTMx, the raw material powders (BaCO3, SrCO3, TiO2, and MnO with a purity > 99%, Aladdin, Shanghai) were weighed. First of all, the powders were thoroughly mixed in ethanol and ball-milled for 15 h. After that, the slurry was dried overnight, and the dried powders were calcined at 1100 °C for 3 h. Subsequently, the calcined powders were ball-milled once again for 15 h. The resultant powders were granulated thoroughly using a 5 wt% polyvinyl alcohol (PVA) binder and then pressed into pellets. The pellets with different compositions were finally sintered at 1300 °C for 3 h. Besides, in the case of x = 0.003, the pellet was also sintered at 1275 °C for 5 h and 1325 °C for 1 h for comparison. For dielectric breakdown measurement, the thickness of the BSTM samples is in the range of 0.17 ~ 0.20 mm. Test equipment and test conditions can be found in our previous work [12, 13].

3 Results and discussion

Figure 1a shows the XRD patterns of the Ba0.8Sr0.2(Ti1−xMnx)O3 ceramics sintered at 1300 °C/3 h. In the 2θ range of 20°–75°, the main phases belong to perovskite pseudocubic (pc) phases, and impurities cannot be found in the BSTMx ceramics. As the Mn content increases, the diffraction peaks (110) pc shift toward lower 2θ angles due to the larger Mn2+ ions (0.67Å) replacing the smaller Ti4+ ions (0.605Å) on the B-sites [8, 14], as revealed in the enlarged image on the right side of Fig. 1a.

Fig. 1
figure 1

a XRD patterns of the Ba0.8Sr0.2(Ti1 − xMnx)O3 ceramics sintered at 1300 °C/3 h and b XRD patterns of the Ba0.8Sr0.2(Ti0.997Mn0.003)O3 ceramics sintered at 1275 °C/5 h 1300 °C/3 h, and 1325 °C/1 h

To optimize the sintering conditions, we prepared the Ba0.8Sr0.2(Ti0.997Mn0.003)O3 ceramics sintered at 1275 °C/5 h, 1300 °C/3 h, and 1325 °C/1 h, respectively. The corresponding XRD patterns of these ceramics are displayed in Fig. 1b. The pc-phase structure of Ba0.8Sr0.2(Ti0.997Mn0.003)O3 ceramics is not altered, which is independent of the sintering conditions. The lattice parameters of BSTM ceramics obtained by Rietveld refinements are listed in Table 1. Under the same sintering condition of 1300 °C/3 h, the lattice parameters of BSTMx ceramics increase, and the volume expands as a whole with the Mn content. These refined results agree very well with the replacement of Mn2+ for Ti4+.

Table 1 Lattice parameters and fitting factors of BSTM ceramics

Figure 2a–e shows SEM images of the surface of BSTM ceramics as a function of Mn content and sintering condition. The BSTM ceramics are dense and homogeneous at x ≤ 0.003 and the sintering condition of 1300 °C/3 h. However, as in the case of x > 0.003 or a sintering condition of 1275 °C/5 h or 1325 °C/1 h, the grain size increases and grain distribution becomes uneven. The insets show the grain size distribution of BSTM ceramics. The average grain size of BSTM ceramics is 1.46, 0.74, and 5.61 μm for x = 0, 0.003, and 0.005 at 1300 °C/3 h, 6.41 μm for x = 0.003 at 1275 °C/5 h, and 2.96 μm for x = 0.003 at 1325 °C/1 h, respectively. Compared to the undoped samples, a small amount of Mn doping helps to reduce the grain size (Fig. 2b) [10], but when the doping content increases or the sintering temperature/ time increases, the grain size increases significantly. Among these affecting factors, the sintering time seems to dominate, e.g., the maximum average grain size of 6.41 μm is obtained for x = 0.003 at 1275 °C/5 h (Fig. 2d). High-temperature sintering is beneficial to the grain size growth; meanwhile, the longer sintering time can promote the diffusion of oxygen vacancy in the BT lattice, and therefore, the large grains are observed in Fig. 2d and e [15]. The varied morphology is an indicator of the different electrical properties of BSTM ceramics [11]. Figure 2f shows the EDS mappings of Ba0.8Sr0.2(Ti0.997Mn0.003)O3 ceramic sample sintered at 1300 °C/3 h. The Ba, Sr, Ti, and Mn elements distribute uniformly in the Ba0.8Sr0.2(Ti0.997Mn0.003)O3 ceramic, which indicates that Mn incorporates into the BSTM ceramics.

Fig. 2
figure 2

SEM images of the surface of BSTM ceramics. Insets show the grain size distribution of BSTM ceramics. Figure 2f is the EDS mapping of BSTM ceramic with x = 0.003 sintered at 1300 °C/3 h

XPS curves of the O 1s for BSTM ceramics are shown in Fig. 3. For the ceramics sintered at 1300 °C/3 h (Fig. 3a and c), three fitting peaks are observed at around 530.8 eV, 532.0 eV, and 533.3 eV, respectively. The lowest binding energy originates from lattice oxygen (OL), and the middle fitting peak is assigned to oxygen vacancies (OV) [16, 17], while the higher fitting peak at 533.3 eV is associated with chemisorbed oxygen (Ochem) on the ceramic samples’ surface [18, 19]. Apart from the binding energies of OL and OV, however, the fitting peak at around 529.0 eV can also be observed in Fig. 3d and e, which is attributed to surface adsorbed oxygen-containing species (OA) [13]. Although OV does not directly represent the concentration of oxygen vacancies, the relative content of oxygen vacancies in different samples can be estimated using OV/OL, where OV and OL are the integrated areas of OV and OL fitting curves, respectively. The calculated OV/OL ratio is 2.409, 8.171, and 6.936 for x = 0.001, x = 0.003, and x = 0.005 samples sintered at 1300 °C/3 h. The ratio is 2.978 at 1275 °C/5 h and 0.483 at 1325 °C/1 h for x = 0.003 samples. Overall, the OV/OL ratio displays an increasing trend with the increasing composition, but shows an obvious decreasing trend from 8.171 (x = 0.003 at 1300 °C/3 h) to 0.483 (x = 0.003 at 1325 °C/1 h) for different sintering condition, as shown in Fig. 3f.

Fig. 3
figure 3

XPS fitting results of O 1s narrow scan spectra for BSTM ceramics

The relations of OV content and acceptor Mn2+ions can be explained as follows. As Mn2+ions occupy the Ti4+ site, oxygen vacancies will be generated to main charge neutrality, accompanied by the production of defect dipole \([Mn_{{Ti}}^{{nn}} - V_{O}^{{ \cdot \cdot }} ]\). Earlier investigations demonstrate that a small amount of Mn2+ doping helps reduce dielectric loss owing to the pinned effect of domain walls by defect dipole \([Mn_{{Ti}}^{{nn}} - V_{O}^{{ \cdot \cdot }} ]\) [8, 10, 11]. Additionally, the Mn2+ doping can also remarkably restrain the valence transition from Ti4+ to Ti3+. If the valence of Mn is not changed during the sintering process, the oxygen vacancies would increase accordingly with the increasing Mn2+ doping content. Thus, a maximum OV/OL ratio of 8.171 is obtained for x = 0.003 samples at 1300 °C/3 h. Thereafter, neither by increasing Mn2+ content nor by changing sintering conditions, the relative content of oxygen vacancies does not increase, but decreases significantly (Fig. 3f). This result indicates that some Mn2+ ions transform into Mn3+ and Mn4+ ions during the sintering process based on the following Eqs. (1) and (2).

$${Mn}_{Ti}^{{\prime }{\prime }}\to {Mn}_{Ti}^{{\prime }}+e$$
(1)
$${Mn}_{Ti}^{{\prime }{\prime }}\to {Mn}_{Ti}+2e$$
(2)

The Mn3+ (0.53 Å) and Mn4+ (0.645 Å) ions can also substitute for B-site Ti4+ (0.605 Å) because of their similar ionic radii [8, 11]. We believe that the Mn2+ content is still predominant among the Mn2+, Mn3+, and Mn4+ions. Unfortunately, the most direct evidence is not obtained due to the very low Mn doping content in the ceramic samples.

Temperature dependences of dielectric constant (er) and dielectric loss (tand) of the BSTMx ceramics sintered at 1300 °C/3 h are shown in Fig. 4a. The dielectric peak appears at around 60 °C and broadens with increasing Mn content. The increased local disorder at B-sites induced by Mn replacing Ti is responsible for the relaxation characteristics. Meanwhile, the Curie temperature Tc slightly decreases, accompanied by the remarkably reduced maximum dielectric constant em. In addition, the tand displays a very similar variation trend for all the samples with the content x. An abnormal loss peak can be observed in the vicinity of Tc, which is ascribed to the roles of some defect (e.g., oxygen vacancies, \([Mn_{{Ti}}^{{nn}} - V_{O}^{{ \cdot \cdot }} ]\), etc.) migration at elevated temperatures [20, 21].

Fig. 4
figure 4

Temperature dependences of dielectric constant and dielectric loss for a Ba0.8Sr0.2(Ti1 − xMnx)O3 ceramics sintered at 1300 °C/3 h and b Ba0.8Sr0.2(Ti0.997Mn0.003)O3 ceramics sintered at 1275 °C/5 h, 1300 °C/3 h, and 1325 °C/1 h measured at 1 MHz

To illustrate the influences of sintering conditions on the dielectric temperature spectrum, Fig. 4b shows the temperature dependences of Ba0.8Sr0.2(Ti0.997Mn0.003)O3 ceramics sintered at 1275 °C/5 h, 1300 °C/3 h, and 1325 °C/1 h measured at 1 MHz. The Ba0.8Sr0.2(Ti0.997Mn0.003)O3 ceramics sintered at 1275 °C/5 h and 1325 °C/1 h exhibit a sharper Curie peak than the sample sintered at 1300 °C/3 h, and their em values are higher than the undoped sample. The sharp dielectric peak indicates that the two samples do not have dielectric relaxation characteristics, which can be confirmed by the large grain size shown in Fig. 2 and the ferroelectric loops in the following Fig. 7e and f. It is precise that the large grain size leads to a high dielectric constant. For the x = 0.003 samples sintered at 1275 °C/5 h and 1325 °C/1 h, the second dielectric peaks are not intrinsic but are induced by the measurements, which will disappear during the cooling process (Fig. S1). In addition, it can also be observed that the tand values of Ba0.8Sr0.2(Ti0.997Mn0.003)O3 ceramics sintered at 1275 °C/5 h and 1325 °C/1 h are lower than the others and maintain the thermal stability in a wide temperature range.

Fig. 5
figure 5

Temperature dependences of dielectric constant for the BSTM ceramics as a function of frequency

To better comprehend the relaxation characteristics of the BSTM ceramics, Fig. 5 shows temperature dependences of dielectric constant for the BSTM ceramics as a function of frequency. The frequency dispersion behavior can be observed in the x = 0.001, x = 0.003, and x = 0.005 samples sintered at 1300 °C/3 h. Moreover, an abnormal peak around 275 °C can be observed in x = 0.005 samples, which shifts toward to higher temperature with an increase in measuring frequency, demonstrating a thermal-activated relaxation behavior (Fig. 5d), which can be further confirmed by the cooling curves shown in Fig. S2. In addition, the modified Curie–Weiss equation is employed to estimate the diffusion coefficient (γ) [22, 23]. The fitting curves of the modified Curie–Weiss equation at 10 MHz and the γ values are shown in Fig. 6. The γ values are 1.36, 1.55, and 1.37 for the x = 0.001, x = 0.003, and x = 0.005 samples sintered at 1300 °C/3 h, respectively. This reveals that Mn doping can enhance the relaxation characteristics of BSTM ceramics at 1300 °C/3 h when compared with the undoped samples. However, upon raising the sintering temperature (Fig. 6f) or extending the sintering time (Fig. 6e), the γ values decrease to 1.02 for the x = 0.003 samples sintered at 1275 °C/5 h and 1325 °C/1 h, indicating that the two samples are normal ferroelectrics without relax or behavior. The high temperature and prolonged sintering time can weaken the relax or character and favor maintaining the normal ferroelectric state.

Fig. 6
figure 6

The fitting curves of the modified Curie-Weiss equation at 10 MHz

Fig. 7
figure 7

The PE loops of the BSTM ceramics with the different electric fields measured at room temperature

Figure 7 displays the P–E loops of the BSTM ceramics with the increasing electric fields measured at room temperature. The undoped samples have a relatively low maximum testing field of 30 kV/cm. The Mn-doped samples, by contrast, possess a higher breakdown strength (EBDS). This agrees well with the previous work. Furthermore, the more slim and square P–E loops are acquired for the Ba0.8Sr0.2(Ti0.997Mn0.003)O3 ceramics sintered at 1275 °C/5 h and 1325 °C/1 h measured at 10 Hz. A higher EBDS is favorable for the recoverable energy density (Wrec) of the BSTM ceramics, and thinner ferroelectric loops indicate a higher energy efficiency (η) [7, 24], based on the following equations of energy storage (35).

$$W_{rec}=\int_p^{pm}Edp$$
(3)
$$W=\int_0^{Pm}Edp$$
(4)
$$\eta=100\%\times\frac{W_{rec}}w$$
(5)

Apparently, larger PmPr and higher EBDS values will contribute to larger Wrec. To investigate the impacts of Mn2+ content and defect dipoles on the P–E loops of BSTM ceramics. The Pm, Pr, and PmPr values of all the samples at the maximum electrical field are shown in Fig. 8. From Fig. 8, the Pr value firstly increases as x < 0.005, then decreases slightly for x = 0.005, and finally continuously increases for x = 0.003 sintered at 1275 °C/5 h and 1325 °C/1 h. In the case of the sintering condition of 1300 °C/3 h, the maximum Pr is achieved at x = 0.003. This demonstrates that the defect dipoles can induce an improvement in polarization due to the contribution of defect dipole moment (PD), which is consistent with the XPS analysis. However, apart from the partial role of defect dipoles, the later increase in Pr value can also be ascribed to the increased grain size for x = 0.003 sintered at 1275 and 1325 °C/1 h.

Fig. 8
figure 8

The Pm, Pr, and PmPr values of all the samples at the maximum electrical field

Figure 9 shows the monopolar P–E loops of the BSTM ceramics at the maximum electrical field. The Wrec values of the BSTMx ceramics sintered at 1300 °C/3 h and Ba0.8Sr0.2(Ti0.997Mn0.003)O3 ceramics sintered at 1275 °C/5 h and 1325 °C/1 h are 0.095, 0.268, 0.388, 0.286, 0.305, and 0.332 J/cm3, and the corresponding efficiency η is 60%, 53%, 54%, 35%, 71%, and 71%, respectively. Under the same sintering condition of 1300 °C/3 h, the x = 0.003 sample has the highest Wrec of 0.388 J/cm3 with a lower η of 54% at 110 kV/cm. Interestingly, the higher η of 71% is achieved for x = 0.003 sample sintered at 1275 °C/5 h and 1325 °C/1 h without sacrificing energy density too much. Although further improvements are necessary for our energy storage results, the large impacts of sintering conditions on the morphology structure and electrical properties need to be considered for the better optimization of energy storage properties.

Fig. 9
figure 9

The monopolar P–E loops of the BSTM ceramics at the maximum electrical field. Insets are the energy density Wrec and efficiency η

4 Conclusions

In summary, Mn2+-doped Ba0.8Sr0.2TiO3 ceramics were prepared via a solid-state sintering technique. The influences of Mn2+doping and sintering conditions on the microstructure, dielectric, and energy storage characteristics of Ba0.8Sr0.2TiO3 ceramics were investigated. All ceramic samples exhibit a pure perovskite structure with a pseudocubic (pc) phase without any impurities. A small amount of Mn doping favors the refinement of the grain size of BSTM ceramics. In addition, Mn2+ doping can also reduce the dielectric loss and enhance remarkably the electrical strength (EBDS). High sintering temperature and prolonged sintering time accelerate the grain growth, weaken the relaxation characteristics, and promote the valence transition of Mn2+, but raise the energy efficiency (η) of BSTM ceramics. Under the same sintering condition of 1300 °C/3 h, the BSTM ceramic with the composition of x = 0.003 obtains the highest Wrec of 0.388 J/cm3 with a lower η of 54% at 110 kV/cm. By raising the sintering temperature or extending the sintering time, the energy efficiency of the x = 0.003 samples can reach 71%. This result indicates that sintering conditions play a crucial role in modifying the morphology structure and electrical properties.