Pioneering dielectric materials of Sn-doped Nb_0.025Ti_0.975O₂ ceramics with excellent temperature and humidity stability for advanced ceramic capacitors

Abstract

In this study, the rutile TiO₂ system, widely acclaimed for its superior properties, was enhanced through co-doping with isovalent Sn⁴⁺ ions and 2.5% Nb⁵⁺ donor ions, diverging from traditional acceptor doping practices. This novel doping strategy was implemented by employing a conventional solid-state reaction method, resulting in the synthesis of Sn-doped Nb_0.025Ti_0.975O₂ (Sn-NTO) ceramics. These ceramics demonstrated remarkable dielectric characteristics, with a high dielectric constant (ε′) ranging from ∼27 000 to 34 000 and an exceptionally low loss tangent between 0.005 and 0.056 at ∼25 °C and 1 kHz. Notably, the temperature coefficient of ε′, , aligned with the stringent specifications for X7/8/9R capacitors. Furthermore, the Sn-NTO ceramics exhibited a stable C_p response across various frequencies within a humidity range of 50 to 95% RH, with ΔC_p (%) values within ±0.3%, and no hysteresis loop was detected, suggesting the absence of water molecule adsorption and desorption during humidity assessments. This behavior is primarily attributed to the effective suppression of oxygen vacancy formation by the Sn⁴⁺ ions, which also affects the grain growth diffusion process in the Sn-NTO ceramics. The observed heterogeneous electrical responses between semiconducting grains and insulating grain boundaries in these polycrystalline ceramics are attributed to the internal barrier layer capacitor effect.

The dielectric properties exhibit excellent stability across a wide range of temperatures. Additionally, the capacitance is almost exclusively dependent on humidity levels.

1. Introduction

Over the past two decades, research on dielectric materials has been continuously reported and extensively discussed due to their intriguing performance in advanced electronic devices. Among various applications, capacitors stand out as primary beneficiaries of these materials, owing to their high dielectric response (ε′ > 10⁴). In 2000, Subramanian et al. unveiled the discovery of materials with giant dielectric permittivity (GDP), including CaCu₃Ti₄O₁₂ (CCTO) and its related compounds ACu₃Ti₄O₁₂. These materials exhibited an outstanding ε′, with CCTO achieving ∼12 000 at room temperature (RT) and at a frequency of 1 kHz.¹ The primary cause of high ε′ is attributed to interfacial polarization, arising from distinct electrical responses between semiconducting grains and insulating grain boundaries. This phenomenon is known as the internal barrier layer capacitor (IBLC) model.^2,3 Unfortunately, CCTO still exhibited low stability of ε′ at high temperatures, which is a disadvantage for application in the industrial sector. This issue is similar to the challenges faced by traditional BaTiO₃ materials and other GDP materials.^4–7

Up until 2013, the excellent performance in dielectric properties were observed in the form of a simple material based on rutile TiO₂.^8–11 These improvements were achieved by introducing acceptor (A) and donor (D) dopants, which influenced the generation of defects within the structure of TiO₂. The substitution of D dopants (i.e., Nb⁵⁺) led to an increase in the ε′ value due to the reduction of Ti⁴⁺ to Ti³⁺, forming a diamond-shaped structure. Conversely, the introduction of A dopants, like In³⁺, resulted in a triangular shape. This defect was used to explain the reduction of loss tangent (tan δ) value. Surprisingly, the stability of ε′ was obtain over a wide temperature range from −193 to 177 °C. When both of these shapes overlapped, the ceramics exhibited excellent performance, a phenomenon referred to as the Electron-pinned defect-dipoles (EPDD) model.^8,12,13 However, the mechanism underlying the behavior of TiO₂-based materials remained a topic of debate, with many reports suggesting the origin of these ceramics might be related to the IBLC effect, akin to GPD materials such as CCTO ceramics.^14–17

Most recently, we presented our findings on the co-doping of TiO₂ with Sn⁴⁺ and Ta⁵⁺ under the phenomenon of the IBLC model.¹⁶ This co-doping system resulted in excellent dielectric properties, with high ε′ and low tan δ as well as a stable ε′ performance across a wide temperature range, making them well-suited for application in ceramic capacitors. Furthermore, we developed (Sn_0.5Nb_0.5)_xTi_1−xO_2+x/4 ceramics with x values of 0.01, 0.025, and 0.05, demonstrating noteworthy GDP performance.¹⁸ Notably, these dense ceramics were achieved at lower sintering temperatures compared to other co-doped TiO₂ systems. According to the previous works, the primary role of Sn⁴⁺ in achieving these remarkable properties was attributed to its ability to inhibit the formation of oxygen vacancies.^16,19 Substituting Sn⁴⁺ ions in CCTO or co-doped TiO₂ materials helps minimize free electron generation from oxygen loss during sintering. However, the specific influence of varying Sn⁴⁺ concentrations on the dielectric GDP performance of Sn⁴⁺ and Nb⁵⁺ co-doped TiO₂ remains unexplored. The EIA standard for ceramic capacitors specifies that dielectric constant variations should remain below 15% across a defined temperature range for X–R type capacitors. This standard highlights the necessity for materials to exhibit minimal capacitance (C_p) fluctuation in response to temperature shifts or other external factors, such as humidity. Despite this, the impact of humidity—a critical consideration in capacitor performance—has scarcely been reported. Variations in dielectric properties induced by humidity can severely impair capacitor functionality, particularly under high relative humidity (RH) conditions. Previous studies on CCTO and other co-doped TiO₂ materials, such as those incorporating In³⁺ and Na⁺/Nb⁵⁺, have demonstrated significant dependence of C_p and ε′ values on RH levels.^20–22 This suggests that water molecules may interact with the ceramic, leading to substantial permittivity increases and indicating intrinsic defect presence.

For co-doped TiO₂, the creation of defects like oxygen vacancies has been highlighted as a crucial factor in water molecule adsorption/desorption, influencing C_p and ε′ changes with humidity. Such C_p variations are undesirable for capacitor use, suggesting a need for further investigation. We hypothesize that Sn⁴⁺ and Nb⁵⁺ co-doped TiO₂ will not only exhibit high GDP and low tan δ, but will also demonstrate stability across temperature and humidity variations. Thus, this study aims to delve deeper into the role of co-doping in TiO₂ materials, enhancing the reliability and efficacy of ceramic capacitors under diverse environmental conditions. Our findings aim to contribute significantly to the field, offering insights into material behaviors that could lead to advancements in capacitor technology.

In this work, we synthesized Sn⁴⁺ and Nb⁵⁺ co-doped rutile TiO₂ with varying Sn⁴⁺ concentrations using a standard solid-state reaction (SSR) method and sintered the samples at 1200 °C for 3 h. Phase composition, microstructure, and oxidation state were investigated using specific techniques. Importantly, we measured dielectric and electric properties under various conditions, including different frequencies and temperatures. Surprisingly, excellent stability of ε′ or C_p was simultaneously obtained over a wide temperature range from −60 to 210 °C and humidity range from 50 to 95% RH in all ceramics, respectively. Furthermore, the origin of the dielectric property in these ceramics will be discussed from the perspective of impedance spectroscopy.

2. Experimental details

The rutile TiO₂ ceramics, doped with Nb⁵⁺ and Sn⁴⁺ ions, were synthesized using the SSR method. The raw materials, including high-purity oxides of SnO₂ (99.9% purity, Sigma-Aldrich, UK), Nb₂O₅ (99.99% purity, Sigma-Aldrich, China), and TiO₂ (≥99.9% purity, Sigma-Aldrich, Japan), were carefully weighed according to the stoichiometric ratios required for Sn_xNb_0.025Ti_0.975−xO₂ (Sn-NTO) ceramics with varying Sn⁴⁺ concentrations (x = 1, 2.5, and 5%, denoted as 1% Sn-NTO, 2.5% Sn-NTO, and 5% Sn-NTO, respectively). First, these raw materials were thoroughly mixed in ethanol using ZrO₂ balls (2.0 mm in diameter) for 24 h to ensure a homogeneous blend. Second, the ZrO₂ balls were separated from the mixtures of raw materials in ethanal. Third, the resulting wet mixtures were dried in the drier at ∼80 °C to evaporate ethanol. After drying, the resultant powders were then finely milled and pressed into green bodies with 5% polyvinyl alcohol (PVA) under a uniaxial pressure of 250 MPa. The formed pellets measured 0.95 mm in diameter and 1.2 mm in thickness. Finally, all green bodies were loaded onto an alumina plate and coved by a large crucible. Finally, these green bodies were placed on an Al₂O₃ plate, covered with a large crucible, and sintered at 1200 °C for 3 h in an air atmosphere, with a ramp rate of 5 °C min⁻¹, followed by natural cooling to ambient temperature. The densities of the sintered specimens were determined using the Archimedes method.

Subsequently, the sintered Sn-NTO ceramics were comprehensively characterized using various techniques. Empyrean X-ray diffraction (XRD) from PANalytical was utilized to investigate the crystal structure, phase composition, and purity of the samples. The results were further confirmed using a micro-Raman system (Horiba Jobin Yvon T64000). The microstructure and elemental mapping of the ceramics were analyzed through field-emission scanning electron microscopy (FESEM) with energy-dispersive X-ray spectroscopy (EDS) using Helios NanoLab, G3 CX instrument. To determine the charge composition and the presence of ions in various states on the ceramic's surface, X-ray photoelectron spectroscopy (XPS) was employed. This analysis was carried out using a PHI5000 VersaProbe II instrument, which was supported by the Synchrotron Light Research Institute (SLRI) in Thailand.

To investigate the dielectric and electrical responses of Sn-NTO ceramics without the surface effects, both sides of the samples were ground using sandpaper and subsequently painted with silver (Ag) to create parallel electrodes. The samples were then heated to 600 °C for 0.5 h, with a heating rate of 5 °C min⁻¹. Dielectric properties, ε′ and tan δ, were measured using an impedance analyzer (KEYSIGHT E4990A) across a wide frequency range (10² to 10⁶ Hz) and over a temperature range of −60 to 210 °C under V_rms = 0.5 V. Subsequently, each humidity response in the Sn-NTO ceramics was evaluated at 25 °C by measuring adsorption and desorption in the range 50 to 95% RH at different frequencies using a humidity chamber (ESPEC, SH-222).

3. Results and discussion

To study phase composition and crystal structure of rutile TiO₂ ceramics after doping with Nb⁵⁺ and Sn⁴⁺ ions, XRD patterns of the sintered 1% to 5% Sn-NTO ceramics are revealed in Fig. 1(a). The phase compositions of the samples were identified as only the tetragonal rutile TiO₂ phase, according to (No. JCPDS 21-1276).^15,23 In other words, no impurity phases were detected. Complementing the XRD results, the SEM-EDS mapping images demonstrate a uniform distribution of all constituent elements in the 5% Sn-NTO ceramic, which represents the highest doping concentration of Sn⁴⁺. This uniformity is clearly evident, as there is no discernible segregation or accumulation of a second phase, especially at the grain boundaries, as depicted in Fig. S1 of the ESI.† Thus, XRD and SEM-EDS mapping can be used to confirm the existence of a single rutile TiO₂ phase in the Sn-NTO ceramics. As presented in Fig. 1(b), the 2θ of (110) diffraction peaks, the strongest peak, shifted toward lower angles when Sn⁴⁺ concentrations increased, which is similar to other works.^14,23,24 The results were attributed to the increasing lattice parameters (a and c) and bond lengths of the crystal. Additionally, it is important to note that the apparent splitting of the (110) peak at higher 2θ values can be attributed to the Kα₂ component of the Cu radiation source used in the XRD analysis. This phenomenon is a well-recognized artifact stemming from the doublet nature of Cu-Kα radiation, wherein the Kα₁ and Kα₂ emission lines produce two peaks that are closely spaced.

Fig. 1. (a) XRD patterns of the Sn-NTO ceramics. (b) Enlarged peak of (110).

Accurate determination of the structural parameters was achieved through Rietveld refinement using the X'pert HighScore Plus software, with the refined patterns displayed in Fig. S2 (ESI†). The derived lattice constants and bond lengths are compiled in Table S1 (ESI†), and key findings are concisely presented in Table 1. It is observed that both the lattice parameters (a and c) and the bond lengths (A–O and A–A, where A = Ta, Sn, Ti) incrementally increase with higher concentrations of Sn⁴⁺. This trend can be attributed to the substitution of Ti⁴⁺ sites by the larger ionic radii of Sn⁴⁺ (69.0 pm) and Nb⁵⁺ (64.0 pm), compared to that of Ti⁴⁺ (60.5 pm).The systematic enlargement of these structural parameters is indicative of a complete and homogeneous integration of the dopants into the host lattice, as supported by the data.^15,16

Dielectric parameters (ε′ and tan δ) at 1 kHz and 25 °C and temperature coefficient for 1% Sn-NTO, 2.5% Sn-NTO, and 5% Sn-NTO ceramics.

Sample	Dielectric properties @ 1 kHz & 25 °C		Temperature range for < ±15%
	ε′	tan δ
1% Sn-NTO	33 853	0.005	−60 to 210 °C
2.5% Sn-NTO	31 629	0.015	−60 to 210 °C
5% Sn-NTO	27 159	0.056	−60 to 210 °C

Raman spectroscopy is an analytical technique used to investigate the chemical composition and molecular structure of materials by measuring changes in the frequency of vibrational and rotational modes in the sample. Raman spectra of the Sn-NTO samples were observed in the range 120 to 700 cm⁻¹, as illustrated in Fig. S3 (ESI†). The results in the Sn-NTO samples revealed the spectra consisting of four peaks (generally three peaks and a second-order Raman scattering in the rutile structure) similar to in the rutile TiO₂.^14,24 Therefore, the confirmation of the exclusive presence of rutile TiO₂ in the Sn-NTO samples was supported by XRD, mapping image of elements, and Raman spectroscopy. Each peak indicated a different response of structure. These shifts were fitted and calculated using the Lorentz model. Interestingly, the two strongest peaks corresponding to the E_g and A_1g modes shifted when the Sn⁴⁺ concentrations were varied, as shown in the inset of Fig. S3 (ESI†) and listed in Table S1 (ESI†). The E_g modes shifted to lower energy side in the range of 439 to 437 cm⁻¹ as the Sn concentration increased, which can be attributed to certain factors such as lattice distortion and the movement of oxygen along c-axis.¹⁴ Meanwhile, the A_1g modes showed a slight shift to higher frequency side in the range of 606 to 607 cm⁻¹ related to the change in the Ti–O stretch modes after the replacement of Ti with Sn and Nb.^15,24

The Ti 2p profile in the 5% Sn-NTO sample is presented in Fig. 2(a). It revealed two distinct peaks of Ti 2p_3/2, located at binding energies of 457.02 eV and 458.64 eV, corresponding to Ti³⁺ and Ti⁴⁺ states, respectively.⁸ Additionally, at higher binding energies, the Ti 2p_1/2 peaks associated with Ti³⁺ and Ti⁴⁺ states exhibited lower intensity peaks at 462.68 eV and 464.30 eV, respectively.^15,24 The presence of Ti³⁺ within the structures can be attributed to charge compensation, whereby Ti⁴⁺ was converted into Ti³⁺ through donor doping with Nb⁵⁺. This phenomenon was described by eqn (1) and (2) as follows:

1

Ti⁴⁺ + e → Ti³⁺ 2

Fig. 2. XPS spectra of (a) Ti 2p, (b) O 1s, and (c) Sn 3d for 5% Sn-NTO ceramic.

In accordance with previous work, the quantity of Ti³⁺ within the structure played a crucial role in determining the dielectric response.^8,16 Theoretically, the Ti³⁺/Ti⁴⁺ ratio in the 5% Sn-NTO ceramic should be approximately 2.7%, which closely aligned with the experiment result of 2.5% calculated from the theoretical value from the nominal formula.

As depicted in Fig. 2(b), the three components of O 1s in the 5% Sn-NTO sample were determined using Gaussian–Lorentzian profile fitting. The primary peak corresponds to oxygen lattice, representing the bulk Ti–O bond, and it was detected at a binding energy of 530.04 eV.¹⁴ Additionally, two other components, associated with oxygen vacancies and hydroxyl (OH) groups, were observed as peaks at 531.54 and 532.79, respectively.^8,14 The ratio of oxygen vacancies to the main oxygen lattice in 5% Sn-NTO ceramic was calculated to be 15.6%. This result can be attributed to the sintering process, without the influence of dopants such as Nb⁵⁺ and Sn⁴⁺ on the generation of oxygen vacancies.¹⁶ In other words, Nb⁵⁺ solely affected the presence of free electrons, while Sn⁴⁺ contributed to the suppression of oxygen vacancy formation, in accordance with eqn (3).

3

Furthermore, the ratio of duplication 15.6% is lower than the value of 18.9% obtained in our previous study for 2.5% Sn-NTO (or 5% Sn-NTO) ceramic with a difference of about 3.3%.¹⁸ This result indicated that Sn⁴⁺ ions inhibit the oxygen loss in the ceramic structure, which is consistent with the influence of Sn⁴⁺ in CCTO ceramics.¹⁹

In contrast, when doping TiO₂ with A^2+/3+ such as Cr³⁺, Zn²⁺, and In³⁺, it is generally expected to create oxygen vacancies for charge compensation.^8,15,23 To confirm the presence of only Sn⁴⁺ state (without Sn²⁺ state) in the structure of the 5% Sn-NTO sample, the Sn 3d profile was observed in detail with binding energies of 486.48 and 494.92 eV, corresponding exclusively to the existence of Sn⁴⁺, as shown in Fig. 2(c).²⁵ Therefore, there is no oxygen loss attributed to Sn²⁺ ions in Sn-NTO ceramics. In the previous work,¹⁸ it was observed that both Sn²⁺ and Sn⁴⁺ were detectable in the 2.5% (Sn_0.5Nb_0.5) co-doped TiO₂. In contrast, in the current study, only Sn⁴⁺ was identified in the 5% Sn-doped Nb_0.025Ti_0.975O₂ (5% Sn-NTO), as indicated by the fitting results and the notably lower FWHM values of the Sn 3d peaks. The increased sharpness and symmetry of these peaks in our XPS analysis suggest a more homogeneous chemical environment, which is likely indicative of a predominance of Sn⁴⁺ ions. A higher doping level, such as that in the 5% Sn-NTO, could lead to a more pronounced alteration or lattice distortion within the rutile TiO₂ structure, thus potentially stabilizing the Sn⁴⁺ oxidation state. Additionally, the formation and distribution of oxygen vacancies in the TiO₂ lattice—arising from oxygen loss during the sintering process—are critical factors that can stabilize different oxidation states of the dopants, as supported by eqn (3).

The surface morphologies of Sn-NTO ceramics are presented in Fig. 3, with their insets displaying the statistical distribution grain sizes. The relative density and grain size of each Sn-NTO sample were also calculated and are listed in Fig. 3(d). A high relative density and a small number of pores were achieved in the 1% Sn-NTO and 2.5% Sn-NTO ceramics, measuring approximately 97.35% and 98.71%, respectively, as depicted in Fig. 3(a) and (b). Unfortunately, higher concentration of Sn (5% Sn-NTO) resulted in lower density (95.48%), with value below those of the 1% Sn-NTO and 2.5% Sn-NTO ceramics, approximately 1.9% and 3.3%, respectively, with corresponding increased porosity, as show in Fig. 3(c). Moreover, the reduction in grain growth was observed as the Sn⁴⁺ concentrations increased, decreasing from 3.6 to 2.7 μm in Fig. 3(d). These results might primally be caused by the influence of SnO₂ properties. SnO₂ was characterized by its low densification during the sintering process, which was used in advanced applications for humidity sensor devices.²⁶ It was observed that the mean grain size in Ga³⁺-doped TiO₂ exceeded that of the undoped TiO₂, a phenomenon primarily ascribed to the generation of oxygen vacancies for charge compensation.²⁷ This implies that oxygen vacancies facilitate improved diffusion within the microstructure, consequently resulting in a reduced density and a diminishment in grain size. In our preceding research involving (Sn_0.5Nb_0.5) co-doped TiO₂ ceramics, we documented the coexistence of Sn²⁺ alongside Sn⁴⁺.¹⁸ The presence of Sn²⁺ ions within the TiO₂ matrix is ionically compensated by oxygen vacancies, which promotes the diffusion of ions and/or atoms across the grain boundaries, thereby fostering grain growth and higher ceramic densities.¹⁸ However, the current study found no evidence of the Sn²⁺ state in the Sn-NTO ceramics structure, as demonstrated by the XPS results. This absence likely accounts for the relatively higher densities observed in the (Sn_0.5Nb_0.5) co-doped TiO₂ ceramics compared to the Sn-NTO ceramics presented herein.¹⁸ Additionally, it is noteworthy that the highest concentration of Sn⁴⁺ doping corresponded with the lowest relative density among the Sn-NTO samples examined. Nevertheless, the density in all obtained Sn-NTO ceramics is suitable for advanced applications and demonstrated excellent properties, as reported in other works, such as Tm³⁺/Ta⁵⁺ co-doped TiO₂ and In³⁺/Zr⁴⁺/Nb⁵⁺ triple-doped TiO₂.^28,29 This was primarily attributed to the diffusion during the thermal sintering process.

Fig. 3. Surface morphologies of (a) 1% Sn-NTO, (b) 2.5% Sn-NTO, and (c) 5% Sn-NTO ceramics, respectively. (d) Grain sizes and relative density values of the Sn-NTO samples.

Generally, the ε′ response is often influenced by the D⁵⁺ (e.g., Nb⁵⁺ and Ta⁵⁺) effect. As the concentration of D⁵⁺ doping increases, the ε′ value also tends to increase because D⁵⁺ can induce free electrons within the structure, as described in eqn (1) and (2). The increased presence of free electrons serves as a key contributor to the enhancement of both intrinsic polarization at the local complex defect cluster and interfacial polarization at interfaces and grain increase within these materials.^8,15 However, the Nb⁵⁺ concentration was prepared and mixed at the same level, x = 0.025, for the Sn-NTO samples. As a result, there should be no significant increase or alteration in ε′ performance owing to the uniform Nb⁵⁺ concentration. Surprisingly, the ε′ response in the frequency range of 10² to 10⁶ Hz at 25 °C decreased with increasing Sn⁴⁺ concentrations in Fig. 4. Compared to the 1% Sn-NTO and 2.5% Sn-NTO samples, a significant decrease was observed at the highest concentration of Sn⁴⁺ in the 5% Sn-NTO sample, as shown in Fig. 4. The results indicated the influence of Sn⁴⁺ and the microstructure, including factors such as grain sizes and the presence of porosity in the ceramics.^16,18 The reduction in grain sizes can lead to a decrease in ε′ performance, in according with the IBLC model.¹⁶ Regarding the impact of porosity, these models consider the dielectric material as a composite system consisting of two phases, a matrix with numerous pores, each having different ε′ values or responses. The existence of air or other non-dielectric voids within the material creates regions with ε′ values lower than those of the bulk material.³⁰ As a result, the effective ε′ of the porous material decreases, which may be another contributing factor to the lowest ε′ value observed in the 5% Sn-NTO ceramic. As shown in the inset of Fig. 4, the tan δ values were dependent on the frequency range of 10² to 10⁶ Hz at 25 °C for the 5% Sn-NTO ceramics. The results indicated an increase in tan δ as Sn⁴⁺ concentrations rose, especially in 2.5% Sn-NTO and 5% Sn-NTO ceramics at a low frequency, which can be attributed to relaxation peaks. However, ε′ and tan δ values for the Sn-NTO samples remained consistently high, exceeding 10⁴ and staying below 0.06 at 25 °C and 1 kHz, respectively, as listed in Table 1. Moreover, the rapid decline in ε′ response at high frequencies was attributed to the Maxwell–Wagner relaxation, a phenomenon that correlated with the IBLC model.^3,18 Further discussion is provided in the impedance results.

Fig. 4. Frequency dependence of ε′ at 25 °C of Sn-NTO ceramics sintered at 1200 °C for 3 h; the inset shows the tan δ.

Ceramic materials, known for their exceptional high chemical, mechanical, and thermal stability, are widely employed in advanced devices, which are particularly suitable for use in extreme environments. In the context of their application in X–R type ceramic capacitors, as defined by the Electronics Industries Alliance (EIA), the stability of dielectric properties across a range of temperatures is of utmost importance. These capacitors must adhere to strict criteria, such as the temperature coefficient of capacitance at 1 kHz (ΔC/C₂₅ (%), where C₂₅ represents capacitance at 1 kHz and 25 °C) or the temperature coefficient of ε′ (, where is the dielectric constant at 1 kHz and 25 °C), which must remain within a ±15% tolerance over a wide temperature range between −55 to 125 (X7R), −55 to 150 (X8R), and −55 to 200 °C (X9R), respectively.³¹ As illustrated in Fig. 5(a), the for 1% Sn-NTO and 2.5% Sn-NTO ceramics were relatively independent of temperature at 1 kHz, indicating only slight changes in ε′ values at different temperatures. Meanwhile, the 5% Sn-NTO ceramic exhibited at 1 kHz that depended on temperatures, which was related to in tan δ response, especially at high temperatures, as shown in Fig. 5(b). The at 1 kHz for all Sn-NTO ceramics remained below ±15% tolerance range between −60 to 210 °C, as summarized in Table 1. This demonstrates their compatibility with the X–R types of ceramic capacitors, specifically X7R, X8R, and X9R. For these capacitor types, the is required to stay within ±15% across their respective temperature ranges of −55 to 125 °C, −55 to 150 °C, and −55 to 200 °C. In addition to the low values within these specified ranges, it is also essential for the tan δ values to remain low for the application in X7R, X8R, and X9R capacitors. Notably, the tan δ values for both 1% Sn-NTO and 2.5% Sn-NTO samples were also slightly temperature-dependent, but they remained below 0.05 over a wide temperature range of −60 to 210 °C. This excellent property allows Sn-NTO ceramics to be considered as candidates for application in advanced devices in the future, especially when compared to traditional BaTiO₃ and CCTO-related materials.^4,32–34

Fig. 5. Temperature dependence of (a) and (b) tan δ of 1% Sn-NTO, 2.5% Sn-NTO, and 5% Sn-NTO ceramics sintered at 1200 °C for 3 h at 1 kHz.

In previous research, it was observed that the humidity in the environment can impact the dielectric properties, such as ε′ or the capacitance (C_p), in dielectric materials.^21,22,35,36 The changes of these properties indicate the adsorption of water molecules into the ceramic structure, leading to enhanced polarization related to C_p or ε′ response. These results should be affected by the presence of intrinsic defects such as oxygen vacancies and ions, as well as microstructure effects.^21,37 This phenomenon has been widely applied in humidity sensors. However, for the application of ceramic capacitors, it is essential to maintain the stability of C_p or ε′ over a wide range of relative humidity conditions, similar to the previous result for . As shown in Fig. 6(a) and (b), the C_p responses of 1% Sn-NTO and 5% Sn-NTO ceramics at various frequencies (100 to 100 kHz) showed an independent response to changes in relative humidity (% RH) within the range of 50 to 95%. However, a significant reduction in C_p was observed at high frequencies. This reduction is due to the polarization process not being able to keep up with the rapidly changing electric field, which is a normal behavior of dielectric response.^38,39 Furthermore, there was no hysteresis observed in the adsorption and desorption of water molecules in the Sn-NTO samples. The humidity coefficient of capacitance was calculated using ΔC_p (%) = [(C_RH − C₅₀)/C₅₀] × 100, where C_RH and C₅₀ are the capacitance at any % RH and 50% RH, respectively. The ΔC_p (%) values for both the 1% Sn-NTO and 5% Sn-NTO ceramics were lower than ±0.3% at different frequencies of 1, 10, and 100 kHz, as shown in the insets of Fig. 6(a) and (b). These results indicated that there was no adsorption and desorption of water molecules and no substantial increase in polarization in Sn-NTO ceramics. This phenomenon was attributed to the inhibition of oxygen loss in structure due to the Sn⁴⁺ effect.^19,22 Surprisingly, the microstructural differences in grain sizes and porosity did not result in different C_p responses in 1% Sn-NTO and 5% Sn-NTO ceramics. This finding was aligned with the previous research on Mg-doped CCTO ceramics.³⁶ In considering a dielectric material for humidity sensor applications, the sensitivity of the ceramics was calculated using the equation: sensitivity = ΔC_p/Δ(% RH),^21,40 where ΔC_p and Δ(% RH) denote the changes in capacitance and relative humidity, respectively. As illustrated in Fig. 6(c), while the high sensitivity values of (In + Nb) and (Na + Nb) co-doped TiO₂ are advantageous for humidity sensor applications, the markedly low sensitivity observed in Sn-NTO ceramics demonstrates their superior dielectric stability, making them highly suitable for capacitor applications.

Fig. 6. Relative humidity dependence of C_p at 25 °C and several frequencies for (a) 1% Sn-NTO and (b) 5% Sn-NTO; their insets show the ΔC_p (%). (c) Comparison of C_p-humidity sensitivity of Sn-NTO with (In + Nb) and (Na + Nb) co-doped TiO₂ ceramics.

Based on the IBLC model, impedance spectroscopy was employed to elucidate the origin of the excellent dielectric properties in the Sn-NTO ceramic samples, particularly in the context of their application in ceramic capacitors. As shown in Fig. 7, the complex impedance plane (Z*) plots for the Sn-NTO samples at 180 °C revealed large semicircular arcs corresponding to the insulating components, such as surface layer and/or grain boundaries.^2,15,41,42 However, it is important to note that only insulating grain boundaries were present in the Sn-NTO samples, as the surface of the samples was intentionally removed before making the electrodes and then measuring dielectric properties. At 25 °C, smaller semicircular arcs were observed at the high frequencies, representing the response of the semiconducting part of the grains, as illustrated in the inset of Fig. 7.³ The diameter of these semicircular arcs can be used to consider the resistance values of each electrical response part.^7,17,24 Furthermore, the grain boundary resistance (R_gb) value is significantly large compared to the grain resistance (R_g) value and R_gb of other GDP materials, which contributed to achieving both low tan δ value and value within ±15% over a wide range.^6,42,43 Meanwhile, the R_g values were on the order of ∼10² and decreased with increasing Sn⁴⁺ concentrations. This result indicates the decrease of ε′ response associated with the increase of Sn⁴⁺ concentrations. These responses in the preset polycrystalline Sn-NTO ceramics are considered to be a phenomenon caused by the IBLC model.

Fig. 7. Z* plots for Sn-NTO samples at 180 °C and over a wide frequency range of 10² to 10⁶ Hz; the inset shows Z* plots at 25 °C near the origin at high frequencies.

4. Conclusions

The Sn-NTO ceramics were synthesized via the SSR method, sintered at 1200 °C for 3 h in an air atmosphere. These ceramics exhibited a pure tetragonal rutile TiO₂ phase without impurities, as confirmed by XRD and Raman spectroscopy analyses. XPS results supported the formation of Ti³⁺ ions within the Sn-NTO ceramics, significantly influencing the dielectric response. Interestingly, the grain growth in these ceramics was found to be dependent on the Sn⁴⁺ ion concentration. Remarkably, the Sn-NTO samples demonstrated outstanding performance, making them suitable for use in X–R type ceramic capacitors designed for extreme environmental conditions. These ceramics showcased not only a low tan δ at 1 kHz and 25 °C, but also stable dielectric responses across a wide temperature range, and they maintained constant C_p responses under varying humidity levels. These results showed the pivotal role of Sn⁴⁺ ions in minimizing oxygen vacancy-related losses within the ceramic structure. Impedance spectroscopy analysis revealed that the distinctive properties of the Sn-NTO ceramics could be attributed to extrinsic effects, as described by the IBLC model.

Conflicts of interest

There are no conflicts to declare.