1 Introduction

The recent rapid advances in Internet of Things, the Industrial Internet, electronic warfare, intelligent transport systems and the fifth generation wireless systems. Microwave dielectric ceramics, as a key material used in these applications, have been received much more attention. It is known that miniaturization, integration, and high reliability are the important tendency in today’s microwave electronic devices and portable terminals. Therefore, materials with high dielectric constant (εr ˃ 10), high quality factor (Q × f ≥ 10,000 GHz) and near-zero temperature coefficient of resonant frequency (|τf| ≤ 10 ppm/°C) are strongly required. Especially, for the operating frequency in nowadays are increasing (e. g: Millimeter wave or sub-millimeter wave), materials with near-zero τf value become more and more critical [1,2,3,4].

In recent years, a great number of Li-containing compounds microwave dielectric ceramics with spinel-structure such as Li2MTi3O8 (M = Mg, Zn, Co) [5, 6], Li2M3Ti4O12 (M = Zn, Mg, Co) [7,8,9] and Li2ZnTi5O12 [10] etc., have been extensively studied due to their excellent microwave dielectric properties. Among in these ceramics, the Li2Zn3Ti4O12 ceramic based on Li2O–ZnO–TiO2 ternary systems have attracted much attention for low cost, light weight, eco-friendly of the raw materials and excellent microwave dielectric properties: εr = 20.6, Q × f = 106,700 GHz and τf = − 48 ppm/°C when sintered at 1075 °C for 2 h [7]. Unfortunately, the negative τf value (τf = − 48 ppm/°C) prohibits its practical applications. Therefore, compensate the τf value near-zero simultaneously without much deteriorating the microwave dielectric properties is urgent. To achieve a near-zero τf for the Li2Zn3Ti4O12 ceramic, up till now, introducing a new material with an opposite τf value in the ceramic system has been demonstrated as an effective approach to adjust the τf value near-zero [11, 12]. Summarize previous works, CaTiO3 have often been utilized as a τf compensation materials due to it’s high positive τff ~ + 800 ppm/°C) value and do not easily react at high temperature [13,14,15,16,17].

In this work, CaTiO3 as a τf compensation material and mixture with Li2Zn3Ti4O12 ceramic to form the (1 − x) Li2Zn3Ti4O12x CaTiO3 ceramics system to achieve the τf value of Li2Zn3Ti4O12 ceramic near-zero. In addition, the phases, sintering behaviors, and microwave dielectric properties of (1-x) Li2Zn3Ti4O12x CaTiO3 ceramics were investigated systematically.

2 Experimental

The Li2Zn3Ti4O12 and CaTiO3 powders were synthesized via the solid-state reaction route using analytical grade powders of Li2CO3 (AR, ≥ 99%, GuoYao Co. Ltd., Shanghai, China), ZnO (AR, ≥ 99%, Macklin Co. Ltd., Shanghai, China), TiO2 (AR, ≥ 99%, Macklin Co. Ltd., Shanghai, China) and CaCO3 (AR, ≥ 99%, Macklin Co. Ltd., Shanghai, China) as raw materials. Stoichiometric Li2CO3, ZnO, TiO2 and CaCO3 were mixed according to the formula of Li2Zn3Ti4O12 and CaTiO3 with ZrO2 balls by ball mill with ethanol for 4 h, respectively. The mixtures were dried and calcined at 1000 °C for 4 h to form Li2Zn3Ti4O12 and CaTiO3 phase. Thereafter, The calcined powders were mixed according to the desired composition (1 − x) Li2Zn3Ti4O12x CaTiO3 (x = 3, 4, 5, 6 and 7 wt%) were mixed together and reground in ethanol medium for 4 h to get homogeneously mixture powders. After drying, the mixed powders were ground with 5 wt% polyvinyl alcohol (PVA) solution and then pelleted to 15 mm diameter and 7–8 mm thick disks at 5 MPa by hydraulic pressing. The thick disks samples were heated at 550 °C for 2 h to remove the organic binder and then sintered at 1100–1200 °C for 4 h in air at a heating rate of 5 °C/min.

The phases composition were identified by X-ray diffractometer (PANalytical Empyrean Series 2, UK) using CuKá radiation. The microstructures of sintered surfaces were performed by scanning electron microscope (SEM, JSM-6460LV, and Japan) coupled with energy-dispersive X-ray spectrometer (EDS, Philips). The bulk densities of the samples were measured by the Archimedes method. The εr and Q values were measured in the TE011 mode by using the Hakki-Coleman dielectric resonator method using a network analyzer (HP83752A, the United States) in a wide frequency (1–20 GHz).The temperature coefficients of resonant frequency (τf) were measured with changing temperatures from 20 to 60 °C defined as follows:

$$\tau_{f} = \left\{ { \, (f_{ 60} - f_{ 20} ) /\left( {f_{ 20} \times { 4}0} \right) \, } \right\} \times 10^{ 6} \left( {{\text{ppm}}/^\circ {\text{C}}} \right)$$

where f20 and f60 represent the resonant frequency at 20 and 60 °C, respectively.

3 Results and discussion

The XRD results of 0.94 Li2Zn3Ti4O12–0.06 CaTiO3 ceramics sintered at 1100–1200 °C for 4 h are given in Fig. 1. The peaks of the five-group samples indicating there are two phases co-exist in the 0.94 Li2Zn3Ti4O12–0.06 CaTiO3 ceramics system, which including Li2Zn3Ti4O12 as the main crystalline phase (PDF # 44-10381) and CaTiO3 as a minor phase (PDF # 42-0423), no other phases are detected. With the sintering temperatures increase from 1100 to 1200 °C, the peaks intensity changed not significantly. Figure 2 shows the XRD data of (1 − x) Li2Zn3Ti4O12x CaTiO3 (3 wt% ≤ x ≤ 7 wt%) ceramics sintered at 1175 °C for 4 h. The peaks intensity identified gradually increased as x varies from 3 to 7 wt%, which corresponding to the increase of CaTiO3 mass fraction in the mixture. These results indicated that the CaTiO3 not only has a good compatibility with Li2Zn3Ti4O12 ceramic but also possible to adjust the τf value of Li2Zn3Ti4O12 ceramic near zero.

Fig. 1
figure 1

X-ray diffraction patterns of 0.94 Li2Zn3Ti4O12–0.06 CaTiO3 ceramics sintered at different temperatures for 4 h

Fig. 2
figure 2

X-ray diffraction patterns of (1 − x) Li2Zn3Ti4O12x CaTiO3 ceramics sintered at 1175 °C for 4 h with different x values

The typical SEM micrographs of 0.94 Li2Zn3Ti4O12–0.06 CaTiO3 ceramics sintered at 1100–1200 °C for 4 h are displayed in Fig. 3. All of the micrographs show two types grain. As shown in Fig. 3a–c, with the sintering temperature increased, the microstructures become more compact and the amount of pores decreases when sintered at 1125 °C to 1150 °C, but not full-dense. As sintering temperature reaches 1175 °C, a homogeneous and dense microstructure is obtained (Fig. 3d). However, abnormal grain growth is observed at temperatures increases to 1200 °C. The SEM photographs of (1 − x) Li2Zn3Ti4O12x CaTiO3 (3 wt% ≤ x ≤ 7 wt%) ceramics sintered at 1175 °C for 4 h are illustrated in Fig. 4. All photograph shows a homogeneous and compact microstructures, and the average grain size decreased as x increased from 3 to 7 wt%.

Fig. 3
figure 3

SEM micrographs of (1 − x) Li2Zn3Ti4O12x CaTiO3 ceramics sintered for 4 h at different temperatures: a 1100 °C, b 1125 °C, c 1150 °C, d 1175 °C, and e 1200 °C

Fig. 4
figure 4

SEM micrographs of (1 − x) Li2Zn3Ti4O12x CaTiO3 ceramics sintered at 1175 °C for 4 h: ax = 3 wt%, bx = 4 wt%, cx = 5 wt%, dx = 6 wt% and ex = 7 wt%

To further understand the crystal of the two grains mentioned in Fig. 3. The EDS results of 0.94 Li2Zn3Ti4O12–0.06 CaTiO3 ceramics sintered at 1175 °C for 4 h are shown in Fig. 5. Grains with different shape and size are labeled as “spectrum 1” and “spectrum 2”. From the EDS results, the “spectrum 1” grain are rich in Ca and Ti but poor in Zn, the “spectrum 2” grain are rich in Zn and Ti but poor in Ca. Combined with the XRD results shown in Fig. 1 and Fig. 2, the small cubic-shaped grains are CaTiO3 phase and the large grains are Li2Zn3Ti4O12 phase.

Fig. 5
figure 5

The EDS results for the 0.94 Li2Zn3Ti4O12–0.06 CaTiO3 ceramics sintered at 1175 °C for 4 h

Figure 6 shows the bulk densities of (1 − x) Li2Zn3Ti4O12x CaTiO3 (3 wt% ≤ x ≤ 7 wt%) ceramics sintered at 1100–1200 °C for 4 h. With increasing sintering temperature, the bulk density of all sintered samples shown a trend of increasing during the sintering temperature rang from 1100 to 1175 °C, and reaching a maximum at 1175 °C. However, a slight decrease in density as the sintering temperature reaches 1200 °C, which possibly owing to the abnormal grain growth. Obviously, as the CaTiO3 content increased, the bulk density of (1 − x) Li2Zn3Ti4O12x CaTiO3 (3 wt% ≤ x ≤ 7 wt%) ceramics gradually decreases. The main reason may attributable to the difference in the theoretical density of Li2Zn3Ti4O12th = 4.3 g/cm3) and CaTiO3th = 3.98 g/cm3).

Fig. 6
figure 6

Variation in the bulk density of (1 − x) Li2Zn3Ti4O12x CaTiO3 (3 wt% ≤ x ≤ 7 wt%) ceramics as a function of the sintering temperature

The εr of (1 − x) Li2Zn3Ti4O12x CaTiO3 (3 wt% ≤ x ≤ 7 wt%) ceramics sintered at 1100–1200 °C for 4 h are illustrated in Fig. 7. A same trend of εr and bulk density with sintering temperature is observed. With sintering temperature increasing from 1100 to 1175 °C, the εr values increased and reached a maximum at 1175 °C. However, when sintering temperature reaches 1200 °C, the εr values decreased. Furthermore, for the same temperature, the εr values of (1 − x) Li2Zn3Ti4O12x CaTiO3 (3 wt% ≤ x ≤ 7 wt%) ceramics increased from 19.1 to 22.3 as the CaTiO3 increased from 3 to 7 wt%, which due to CaTiO3 has an εrr ~ 170) substantially greater than that of Li2Zn3Ti4O12r ~ 20.6). Summary, the εr of (1 − x) Li2Zn3Ti4O12x CaTiO3 (3 wt% ≤ x ≤ 7 wt%) ceramics affected not only by the sintering temperature but also by the CaTiO3 contents.

Fig. 7
figure 7

Variation in the dielectric constant of the (1 − x) Li2Zn3Ti4O12x CaTiO3 (3 wt% ≤ x ≤ 7 wt%) ceramics as a function of sintering temperature

The Q × f values of (1 − x) Li2Zn3Ti4O12x CaTiO3 (3 wt% ≤ x ≤ 7 wt%) ceramics sintered at 1100–1200 °C for 4 h are presented in Fig. 8. As the sintering temperature increases, the Q × f values of the ceramics increases first and reached a maximum at 1175 °C. While the sintering temperature reaches 1200 °C, the Q × f values decreased. The trend of the Q × f values of (1 − x) Li2Zn3Ti4O12x CaTiO3 (3 wt% ≤ x ≤ 7 wt%) ceramics are match well with bulk density values. As known, the Q × f values are not only affected by the lattice vibrational modes but also affects by the second phase, pores, impurities, and density etc. extrinsic factors [18, 19]. While for the same temperature, as the x increases from 3 to 7 wt%, the Q × f values of the ceramics decreases, which owing to the large difference in the Q × f values of Li2Zn3Ti4O12 (Q × f ~ 106,700 GHz) and CaTiO3 (Q × f ~ 3600 GHz). In this works, therefor, densification and second phase are plays important roles in controlling the the Q × f values of (1 − x) Li2Zn3Ti4O12x CaTiO3 (3 wt% ≤ x ≤ 7 wt%) ceramics. A maximum Q × f value of 61,490 GHz could be achieved for the 0.94 Li2Zn3Ti4O12–0.06 CaTiO3 ceramic sintered at 1175 °C for 4 h.

Fig. 8
figure 8

Variation in the Q × f values of (1 − x) Li2Zn3Ti4O12x CaTiO3 (3 wt% ≤ x ≤ 7 wt%) ceramics as a function of the sintering temperature

Figure 9 illustrates the τf values of the (1 − x) Li2Zn3Ti4O12x CaTiO3 (3 wt% ≤ x ≤ 7 wt%) ceramics sintered at 1175 °C for 4 h. As shown, with the x variation from 3 to 7 wt%, the τf values increased from − 31.2 ppm/°C to + 11.6 ppm/°C. Generally speaking, the composition, additives, and second phases are the main factors for the τf values of microwave dielectric ceramics [20]. By increasing x, the τf values of (1 − x) Li2Zn3Ti4O12x CaTiO3 (3 wt% ≤ x ≤ 7 wt%) ceramics varied toward positive direction. In addition, according to the mixing rules, the τf values were compensated. Therefor, a near-zero τf values of (1 − x) Li2Zn3Ti4O12x CaTiO3 (3 wt% ≤ x ≤ 7 wt%) ceramics could be obtained by doping an appropriate content of CaTiO3. When the CaTiO3 amount is 6 wt%, a near-zero τf value with + 2.68 ppm/°C obtained.

Fig. 9
figure 9

The τf values of (1 − x) Li2Zn3Ti4O12x CaTiO3 (3 wt% ≤ x ≤ 7 wt%) ceramics sintered at 1175 °C for 4 h

4 Conclusions

In this work, CaTiO3 as a τf compensation material added to Li2Zn3Ti4O12 ceramic to form a new ceramics systems of (1 − x)–x CaTiO3 (3 wt% ≤ x ≤ 7 wt%) were investigated systematic. The XRD and EDS results demonstrated that the (1 − x) Li2Zn3Ti4O12x CaTiO3 (3 wt% ≤ x ≤ 7 wt%) compositions ceramics shown a mixture of two phases, Li2Zn3Ti4O12 and CaTiO3 phase. The SEM micrographs shown that with the CaTiO3 increased, the average grain size of (1 − x) Li2Zn3Ti4O12x CaTiO3 (3 wt% ≤ x ≤ 7 wt%) composition ceramics decreased. Moreover, the microwave dielectric properties of the composition ceramics can be effectively controlled by varying the CaTiO3 contents. The values of the εr and τf were found to increase, but the Q × f values were found to decrease when the CaTiO3 contents increased from 3 to 7 wt%. Typically, a new temperature stable microwave dielectric material of 0.94 Li2Zn3Ti4O12–0.06 CaTiO3 with excellent microwave dielectric properties of εr = 21.7, Q × f = 61,490 GHz, and τf = + 2.68 ppm/°C were obtained when sintered at 1175 °C for 4 h.