Научная статья на тему 'Ionic Processes in Pyrochlore-Type Bi2Cu0.3Mg0.7Ta2O9'

Ionic Processes in Pyrochlore-Type Bi2Cu0.3Mg0.7Ta2O9 Текст научной статьи по специальности «Электротехника, электронная техника, информационные технологии»

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Ключевые слова
DIELECTRIC PROPERTIES / IMPEDANCE SPECTROSCOPY / PYROCHLORE / диэлектрические свойства / импеданс-спектроскопия / пирохлор

Аннотация научной статьи по электротехнике, электронной технике, информационным технологиям, автор научной работы — Zhuk Nadezhda A., Sekushin Nikolay A., Makeev Boris A., Sennikova Yana D.

Cu, Mg-codoped bismuth tantalate pyrochlore was synthesized for the first time by the standard ceramic method. The electrical properties were investigated by impedance spectroscopy in the frequency range 10-106 Hz and at a temperature of 25-450 °C. In the investigated frequency range, three polarization processes were recorded for the sample. Simulation of equivalent circuits and calculation of the parameters of electrical models taking into account three types of polarization have been carried out. Low- and mid-frequency polarization has been associated with oxygen and cationic conductivity (bipolar conductivity). At medium and low frequency polarization, the mechanism of particle transfer does not change with a change in temperature. As the temperature rises, the high-frequency process gradually shifts to the high-frequency region outside the observation window.

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Ионные процессы в пирохлоре Bi2Cu0.3Mg0.7Ta2O9

Стандартным керамическим методом впервые синтезирован фазовочистый Сu, Mg-содержащий пирохлор на основе танталата висмута. Электрические свойства исследованы импеданс-спектроскопией в частотном диапазоне 10–106 Hz и при температуре 25–450 °C. В исследованном частотном диапазоне для образца зафиксированы три поляризационных процесса. Проведено моделирование эквивалентных схем и расчет параметров электрических моделей с учетом трех типов поляризации. Низкои среднечастотную поляризацию связали с кислородной и катионной проводимостью (биполярная проводимость). При среднеи низкочастотной поляризации механизм переноса частиц не меняется при изменении температуры. При повышении температуры высокочастотный процесс постепенно смещается в область высоких частот за границу окна наблюдений.

Текст научной работы на тему «Ionic Processes in Pyrochlore-Type Bi2Cu0.3Mg0.7Ta2O9»

DOI: 10.17516/1998-2836-0308

EDN: BRAEOL

УДК 541. 122: 538. 214

Ionic Processes

in Pyrochlore-Type Bi2Cu03Mg0.7Ta2O9

Nadezhda A. Zhuk*a, Nikolay A. Sekushinb, Boris A. Makeevc and Yana D. Sennikovac

aSyktyvkar State University Syktyvkar, Komi Republic, Russian Federation bInstitute of Chemistry of the Komi Science Center UB RAS, Syktyvkar, Republic of Komi, Russian Federation cInstitute of Geology of the Komi Science Center UB RAS, Syktyvkar, Komi Republic, Russian Federation

Received 05.07.2021, received in revised form 23.08.2022, accepted 03.10.2022

Abstract. Cu, Mg-codoped bismuth tantalate pyrochlore was synthesized for the first time by the standard ceramic method. The electrical properties were investigated by impedance spectroscopy in the frequency range 10-106 Hz and at a temperature of 25-450 °C. In the investigated frequency range, three polarization processes were recorded for the sample. Simulation of equivalent circuits and calculation of the parameters of electrical models taking into account three types of polarization have been carried out. Low- and mid-frequency polarization has been associated with oxygen and cationic conductivity (bipolar conductivity). At medium and low frequency polarization, the mechanism of particle transfer does not change with a change in temperature. As the temperature rises, the high-frequency process gradually shifts to the high-frequency region outside the observation window.

Keywords: dielectric properties, impedance spectroscopy, pyrochlore.

Citation: Zhuk, N. A., Sekushin, N. A., Makeev, B. A., Sennikova Ya. D. Ionic processes in pyrochlore-type Bi2Cuo.3Mgo.7Ta2O9. J. Sib. Fed. Univ. Chem., 2022, 15(4), 457-465. DOI: 10.17516/1998-2836-0308

© Siberian Federal University. All rights reserved

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). Corresponding author E-mail address: nzhuck@mail.ru

Ионные процессы в пирохлоре Bi2Cu03Mg0.'7Ta2O9

Н. А. Жука, Н. А. Секушинб, Б. A. Макеевв, Я. Д. Сенниковав

аСыктывкарский государственный университет Российская Федерация, Сыктывкар бИнститут химии Коми НЦ УрО РАН Российская Федерация, Сыктывкар вИнститут геологии Коми НЦ УрО РАН Российская Федерация, Сыктывкар

Аннотация. Стандартным керамическим методом впервые синтезирован фазовочистый Си, Mg-содержащий пирохлор на основе танталата висмута. Электрические свойства исследованы импеданс-спектроскопией в частотном диапазоне 10-106 Ш и при температуре 25-450 °С. В исследованном частотном диапазоне для образца зафиксированы три поляризационных процесса. Проведено моделирование эквивалентных схем и расчет параметров электрических моделей с учетом трех типов поляризации. Низко- и среднечастотную поляризацию связали с кислородной и катионной проводимостью (биполярная проводимость). При средне- и низкочастотной поляризации механизм переноса частиц не меняется при изменении температуры. При повышении температуры высокочастотный процесс постепенно смещается в область высоких частот за границу окна наблюдений.

Ключевые слова: диэлектрические свойства, импеданс-спектроскопия, пирохлор.

Цитирование: Жук, Н. А. Ионные процессы в пирохлоре Bi2Cu0.3Mg0.7Ta2O9 / Н. А. Жук, Н. А. Секушин, Б. А. Макеев, Я. Д. Сенникова // Журн. Сиб. федер. ун-та. Химия, 2022, 15(4). С. 457-465. DOI: 10.17516/1998-2836-0308

1. Introduction

Oxide pyrochlores with the general formula A2B2O6O' are currently being thoroughly studied

due to their promising practically useful properties. Pyrochloric materials exhibit a wide range of

electrical properties, from dielectrics to superconductors. Materials based on them are used in resistors, thermistors, capacitors, in the manufacture of heterogeneous LTCC modules, electronic devices for the microwave range [1,2]. In the crystal structure of pyrochlore (space group Fd-3m), two interpenetrating

and independent cationic sublattices A2O 'and B2O6 are distinguished, in which relatively small B (Ta, Nb) cations have octahedral coordination, and large A (Bi, Pb) ions are coordinated in eight vertices [3].

The tolerance of the crystal structure of pyrochlore to vacancies in the anionic and cationic sublattices provides a wide compositional variety of compositions within a given structural type [4,5]. Recently, bismuth-containing pyrochlores have attracted great research interest due to their relatively low sintering temperature and excellent dielectric properties - high dielectric constant and low dielectric losses. For pyrochlores in the Bi2O3-Ta2O5-CuO (BCT) system, the concentration range of the compositions

Bi2.48+yCui.92-xTa3.6+x-yOi4.6+3X/2-y: 0<x<0.8 and 0<y<0.6 [6]. With an increased content of bismuth, monoclinic zirconolite Bii.92Cuo.o8(Cuo.3Tao.7)2O7.o6, a structural analog of the P-phase Bi2(Zni/3Ta2/3)2O7 [7], is formed. It was found that all cubic BCT pyrochlores exhibit similar electrical behavior and are characterized by moderate values of dielectric constant s~60-80 and low dielectric losses tan5~0.01-0.2 (RT, 1 MHz), comparable for pyrochlores of bismuth-magnesium tantalate ~ 80) [6,8]. In [9], a series of nonstoichiometric samples Bi3-xCu18Ta3+xO138+x(x = 0-0.6) with a pyrochlore structure (BCT) is characterized. These materials are thermally stable up to 900 °C and exhibit semiconducting properties at high temperatures. The tangent of losses increases with increasing temperature. The substitution of zinc atoms for copper in the Bi3.08Cu184-xZnxTa3.08O1416 system (0<x<1.84) led to the formation of thermally stable pyrochlores, which demonstrated a transition from semiconducting to dielectric properties [10]. The activation energy of the materials varied from 0.40 to 1.40 eV, and the dielectric permeability varied in an integral of 50-70, and the loss tangent was limited to the range 10-3-10-2 (1 MHz and 25 °C). Magnesium-containing pyrochlores Bi3+5/2xMg2-xTa3-3/2xO14-x (0.12<x<0.22) showed relatively high values of s ~ 70-85; the dielectric loss tangent was ~ 10-3 (1 MHz and 30 °C) and varied in the range of values from -158 to -328 ppm /°C negative temperature coefficient of capacitance [8,11].

In this article, we declare the synthesis of pure phase pyrochlore with the composition Bi2Cu0.3Mg0.7Ta2O9, which exhibits three polarization processes. The nature of ionic processes is investigated by the method of impedance spectroscopy; for each temperature region, an equivalent circuit is modeled, which describes the electrical characteristics of the sample.

2. Experimental

Ceramics with the composition Bi2Cu0.3Mg0.7Ta2O9 were synthesized from a stoichiometric mixture of Bi(III), Ta(V), Mg(II), and Cu(II) oxides by the solid-phase method. The stoichiometric mixture was thoroughly ground in an agate mortar in the presence of ethyl alcohol until a homogeneous mass was obtained (at least 1 hour). Thin disks 10-15 mm in diameter were prepared from the obtained homogeneous mixture using a hand-held plexiglass press. The samples were calcined in four stages at 650, 850, 950 and 1050 °C for 40 hours. After each calcination, the samples were ground again and discs were prepared. X-ray diffraction patterns of the samples were obtained in the 2-theta range of 1070° at a scanning speed of 2.0 deg/min using a Shimadzu 6000 X-ray diffractometer (CuKa radiation). The microstructure and local chemical composition of the samples were studied by scanning electron microscopy and energy dispersion X-ray spectroscopy (electron scanning microscope Tescan VEGA 3LMN, energy dispersion spectrometer INCA Energy 450). A conductive silver layer was applied to the lateral surfaces of the samples in the form of disks for the purpose of studying the electrical properties (thickness 2 mm, diameter 13.4 mm). The impedance hodographs were measured using a Z-1000P impedance meter and an E 7-28 immitance analyzer. The temperature control of the samples in the measuring cell was carried out using a chromel-alumel thermocouple (temperature measurement accuracy ± 1 °C).

3. Results and discussion

According to the data of X-ray phase analysis, the sample with the composition Bi2Cu0.3Mg0.7Ta2O9 is phase-pure. The X-ray diffraction pattern shows only reflections of the cubic pyrochlore phase (space group Fd-3m). The unit cell parameter was 10.5497 A, which is somewhat larger than the lattice constant

for pyrochlore with the composition Bi2MgTa2O9 [12] and may be associated with the replacement of smaller Mg (II) ions by Cu (I, II) ions (R(Ta(V))an,6=0.64 A, R(Cu(II))an,6=073 A, R(Cu(I))c.n.-6=0.77 A, R(Mg(II))c.n.-6=0.72 u 0.89c.n.-8 A, R(Bi(III))c.n,8=1.17 A) [13].

Microstructure analysis by scanning electron microscopy showed that the sample is porous, consisting of intergrown irregular grains with an average transverse size of 2-4 ^m (Fig. 2).

As a result of the EDS analysis, it was found that copper atoms are included in the chemical composition of the sample (Fig.2).

In Fig. 3 shows the designations of the frequencies of the maxima (^max), which are present in the graphs of the imaginary part of the impedance (-Z"). Frequencies are expressed in either Hz (no Hz symbol) or kHz (there is a k after the number). Qmax carries information about the speed of the polarization process. The characteristics of the medium are also the dependences of the phase of the impedance (9) on the frequency (Fig. 4).

As can be seen from Fig. 3 and 4, the samples are characterized by three polarization processes: high frequency (high frequency - hf), medium frequency (middle frequency - mf) and low frequency (low frequency - lf). Elements of hodographs have the shape of a semicircle, arcs with constant curvature, and also at T>250°, in the low-frequency region, fragments with variable curvature were

. < 1.

< ■ b . . _4

10 15 20 25 30 35 40 45 50 55 60

20, deg.

Fig. 1. X-ray diffraction patterns of the Bi2MgTa2O9 (1) and Bi2Cu0.3Mg0.7Ta2O9 (2)

Fig. 2. Microphotograph and EDS spectrum of the Bi2Cu0.3Mg0.7Ta2O9

0 5 10 15 20 25 2" JcQ 1 2 3 4 5 Z':kQ «oo 60° 1000 1200 Z'._ Q

Fig. 3 Hodographs of sample at 25; 50; 100; 125; 150; 175; 200; 225; 250; 275; 300; 325; 350; 375 and 400 °C

101 10: 103 10' to* to'Hz 11)1 10= 11)3 10* 1°s "'Hz 10' 10: 10* 10' 10s 10SHz

Fig. 4. Frequency dependences of the phase of the impedance of the Bi2Cu03Mg0.7Ta2O9 at 100; 125; 150; 175; 200; 275; 300; 325; 350; 375; 400; 425 and 450 °C

found, the shape of which resembles a drop cut in half (Fig.3d and 3e). When modeling Nyquist curves with such a feature, models with a drop-shaped hodograph can be used - these are the Gerischer impedance (GE) and the Generalized Finite Warburg element GFW with a transmissive boundary (Transmissive Boundary, designation Ws). In the Bi2Cua3Mga7Ta2O9 sample under study, the selection of adequate ES elements can be carried out by enumerating several ES variants, including either GE or Ws. Evaluation of the ES accuracy is carried out both visually according to the graphs and according to the integral accuracy criteria [14]. We used criterion 2. If x2 <0.0001, then the frequency characteristics calculated from the ES practically coincide with similar experimental dependences.

We have found that using Ws instead of GE improves model accuracy by 30 %. The results of modeling the impedance of samples in the temperature range of 25-450° are shown in Fig. 5.

All elements of the ES in Fig. 5 have a certain physical meaning. Resistor Ro is responsible for end-to-end conductivity in ESa and ES6. Through resistance in ESc and ESJ is equal to the sum of

Fig. 5. Equivalent circuits of the Bi2Cu03Mg0.7Ta2O9 at 25-125 °C (a); 175-225 °C (b); 225-400 °C (c) and 400450 °C (d)

R+(W-R). The RF polarization process is modeled by the Rhf ><CPEhf (ESa), Rhf ><Chf (ESb) and Chf (ESc) chains. The CPE constant phase element has two parameters: TCpE and P [15]. At P = 1, the CPE element becomes a capacitor C. As the temperature rises, the RF process gradually shifts to the high-frequency region beyond the observation window boundary. As a result, the number of points on which the ES is built decreases. This leads to an increase in the error in determining the value of some parameters of the electrical model. Therefore, the HF part of the ES has to be gradually simplified. The MF polarization process is confidently observed at all temperatures. It is modeled by the Rmf ><CPEmf chain (ESa, ESc and ESd), as well as by the Rmf *Cmf (ESb) chain. The LF polarization process is not observed at t=25-125 °C. In the temperature range 175-225 °C, the LF polarization is simulated by the Rif xCPEf (ESb) circuit, and upon subsequent heating, by RxWs (ESs and ESd). The ES parameters are given in Tables 1-4.

Such a study can include the construction ofvarious frequency characteristics and the determination of the integral parameters of the environment. In Fig. 6 shows the temperature dependences of the

Table 1. Parameters of Esa

t, °C Ro, O Rhf, O TCPE hf PCPE hf Rmf, O TCPE mf PCPE mf X"x104

1 2 3 4 5 6 7 8 9

25 7.17106 -630 4.07-10-11 0.969 9.09106 6.1910-9 0.65 26

52 2.05106 -671 4.5610-11 0.96 3.5106 1.5310-9 0.859 21

100 2.69105 -193 4.8110-11 0.959 5.86105 1.0110-9 0.899 0.5

125 1.21105 -99 4.9210-11 0.959 2.72-105 1.7610-9 0.847 2.6

Table 2. Parameters of ESb

t. °C Ro. O Rhf. O Chf. pF Rmf. O Cmf. pF Rlf. O TCPE lf PCPE lf X"x104

1 2 3 4 5 6 7 8 9 10

175 34250 261 27.3 1.67e5 119 47053 1.1010-6 0.293 2.6

200 16104 266 27.8 86889 91 37396 4.03-10-7 0.426 2.5

225 8914 323 28.3 25815 174 24636 1.10 10-7 0.690 1.4

Table 3. Parameters of ESc

t. oC R. O Ws-R. O Ws-T. s Ws-P Chf. pF Rmf. O TCPE mf PCPE mf X"x104

1 2 3 4 5 6 7 8 9 10

225 6547 2285 0.00126 0.400 27.6 22211 1.2610-9 0.850 1.2

250 3774 1672 7.74-10-4 0.4 27.5 15367 5.3310-10 0.908 0.7

275 2293 726 3.23-10-4 0.408 27.1 10340 5.23-10-10 0.894 0.5

300 1349 520 2.0610-4 0.41 26.8 7040 2.9610-10 0.931 0.3

325 946 341 1.2310-4 0.421 24.1 4684 3.8410-10 0.912 0.5

350 691 208 6.6710-5 0.428 20.5 3337 4.6010-10 0.895 0.5

375 523 125 3.5610-5 0.435 13.3 2097 7.9-10-10 0.854 0.5

400 402 71.4 1.7710-5 0.444 13.9 1890 4.9510-10 0.879 0.5

Table 4. Parameters of ESd

T. oC R. Q Ws-R. Q Ws-T. s Ws-P Rmf. Q Tcpe mf PcPE mf X"x104

1 2 3 4 5 6 7 8 9

400 409 64.4 1.8210-5 0.455 854 3.77-10-9 0.756 0.6

425 313 46.2 8.8310-6 0.429 1125 3.0110-10 0.905 1.3

450 252 33.7 4.42-10-6 0.405 1564 2.6910-11 1 6

Fig. 6. Temperature dependences of the capacitance of the LF process (a) and the MF process (b) at 0.1. 1. 10. 100. and 1000 kHz

capacities of the LF and MF processes. Capacities are specified for a series equivalent circuit. In this case, the Ws element is replaced with a sequential two-terminal device "Qf^Rf (lf - low frequency) and CPE - a two-terminal device "CmfxRmf" (mf - middle frequency).

Fig. 6 it follows that both processes under study are due to the transfer of ions, since a fairly strong dispersion is observed. Complex oxide materials especially those with a pyrochlore structure contain both cationic vacancies and vacancies in the oxygen sublattice. Consequently, bipolar ionic conductivity is possible in the Bi2Cu0.3Mg0.7Ta2O9 solid solution. It follows from the chemical composition of the compound that the concentration of mobile copper cations is significantly lower than the concentration of mobile oxygen anions. On the other hand it follows from the literature that the conductivity for copper can have a significant value even at room temperature and the conductivity for oxygen is recorded at higher temperatures (> 250°) [16-18]. Thus, the LF polarization process is most likely associated with oxygen conductivity, while the MF process is due to the transfer of copper cations.

In Fig. 7a shows the temperature dependences of the through-going specific conductivity of the substance a and the time constant xmf on the Arrhenius scale. The points are obtained from the parameters of the equivalent circuits (Fig. 5. Tables 1-4) and formulas (6, 7). The lines are drawn using the least squares method. Activation energies are determined from the tangent of the slope of the lines: Ea = (0.450±0.005) eV; ET = (0.54±0.01) eV.

The Fig. 7a it follows that for MF and LF polarization. The mechanism of particle transfer does not change with a change in temperature. The same conclusion can be drawn from Fig. 7b which shows the temperature dependence of the Ws-T parameter. The numerical values of which are taken from Tables 3 and 4 (column 4). At low-frequency polarization the motion of particles proceeds according

1000/7, K

Fig. 7. Temperature dependences of the through conductivity (a) and the time constant of the MF polarization process (tmf) plotted on the Arrhenius scale (a); Dependences of the parameters Ws-T (b) and Ws-P (c), Pmf (d) on temperature (d)

to the diffusion mechanism. Since the Ws-P parameter is close to 0.5 (Fig. 7c). The diffusion rate is directly proportional to the temperature. MF polarization proceeds according to a different mechanism since the Pcpe parameter has a value close to 1 (Fig. 7d). The graph is constructed from the data of Tables 1-4 of the midrange polarization.

In this case, the driving force is the electric field under the influence of which the particles make oscillatory movements between the electrodes.

4 Conclusions

The bipolar ionic conductivity Bi2Cuo.3MgojTa2O9 was found in the solid solution. At room temperature ion-migration polarization with the participation of copper cations is observed. At temperatures above 175 °C a second ion-migration mechanism of polarization occurs with the participation of oxygen anions and at 225 °C and above a through oxygen current appears. With a subsequent increase in temperature the cationic conductivity is suppressed. This is due to the fact that the coexistence of two oppositely charged current carriers is unstable.

References

1. Yu, S., Li, L., Zheng, H. BMN-based transparent capacitors with high dielectric tunability. Alloys Comp. 2017, 699, 68-72.

2. Guo, Q., Li, L., Yu, S., Sun, Z., Zheng, H., Li, J., Luo, W. Temperature-stable dielectrics based on Cu-doped Bi2Mg2/3Nb4/3O7 pyrochlore ceramics for LTCC. Ceram. Intern. 2018, 44, 333-338.

3. Subramanian, M.A., Aravamudan, G., Subba Rao, G. V. Oxide pyrochlores - a review. Prog. Solid State Chem. 1983, 15, 55-143.

4. Zou, Z., Ye, J., Arakawa, H. Preparation, structural and optical properties of a new class of compounds Bi2MNbO7 (M=Al. Ga. In). Mater. Sci. Engineer. 2001, 79, 83-85.

5. Matteucci, F., Cruciani, G., Dondi, M., Baldi, G., Barzanti, A. Crystal structural and optical properties of Cr-doped Y2^O7 and Y2S^O7 pyrochlores. Acta Mater. 2007, 55, 2229-2238.

6. Chon, M.P., Tan, K.B., Khaw, C.C., Zainal, Z., Taufiq-Yap, Y.H., Chen, S.K., Tan, P. Y. Subsolidus phase equilibria and electrical properties of pyrochlores in the Bi2O3-CuO-Ta2O5 ternary system. J. Alloys Comp. 2016, 675, 116-127.

7. Tan, K.B., Chon, M.P., Khaw, C.C., Zainal, Z., Taufiq Yap, Y.H., Tan, P. Y. Novel monoclinic zirconolite in Bi2O3-CuO-Ta2O5 ternary system: Phase equilibria. structural and electrical properties. J. Alloys Compd. 2014, 592, 140-149.

iНе можете найти то, что вам нужно? Попробуйте сервис подбора литературы.

8. Tan, P.Y., Tan, K.B., Khaw, C., Zainal, Z., Chen, S.K., Chon, M. P. Structural and electrical properties of bismuth magnesium tantalate pyrochlores. Ceram. Intern. 2012, 38, 5401-5409.

9. Chon, M.P., Tan, K.B., Khaw, C.C., Zainal, Z., Taufiq-Yap, Y.H., Tan, P. Y. Synthesis, structural and electrical properties of novel pyrochlores in the Bi2O3-CuO-Ta2O5 ternary system. Ceram. Intern. 2012, 38, 4253-4261.

10. Chon, M.P., Tan, K.B., Zainal, Z., Taufiq-Yap, Y.H., Tan, P.Y., Khaw, C.C., Chen, S. K. Synthesis and Electrical Properties of Zn-substituted Bismuth Copper Tantalate Pyrochlores. Intern. J. Appl. Ceram. Techn. 2016, 13, 718-725.

11. Tan, P.Y., Tan, K.B., Khaw, C.C., Zainal, Z., Chen, S.K., Chon, M. P. Phase equilibria and dielectric properties of Bi3+(5/2) xMg2_xNb3_(3/2) xOi4-x cubic pyrochlores. Ceram. Intern. 2014, 40, 42374246.

12. Zhuk, N.A., Krzhizhanovskaya, M.G., Sekushin, N.A., Kharton, V.V., Makeev, B.A., Belyy, V.A., Korolev, R. I. Dielectric performance of pyrochlore-type Bi2MgNb2-xTaxO9 ceramics: The effects of tantalum doping. Ceram. Intern. 2021, 47, 194247-19433.

13. Shannon, R. D. Revised effective ionic radii and systematic studies of interatomic distances in halides and chalcogenides. Acta Crystallogr. A. 1976, 32, 751-767.

14. Lasia, A. Electrochemical impedance spectroscopy and its applications. New York: Springer Science+Business Media, 2014. 369 p.

15. Barsoukov, E., Macdonald, J. R. Impedance spectroscopy: theory, experiment and application. Wiley - Interscience, 2005. 606 p.

16. Zhuk, N.A.,Sekushin, N.A., Makeev, B. A.Impedance spectroscopy ofBi1.6Mg0.24Cu0.56Ta1.6O7.2. Lett. Mater. 2021, 11, 11-16.

17. Zhuk, N.A., Sekushin, N.A., Krzhizhanovskaya, M.G., Belyy, V.A., Korolev, R. I. Electrical properties of Ni-doped CaCu3Ti4O12 ceramics. Sol. St. Ion. 2021, 364, 115633.

18. Sekushin, N.A., Zhuk, N.A., Koksharova, L.A., Belyy, V.A., Makeev, B.A., Beznosikov, D.S., Yermolina, M. V. Impedance spectroscopy study of the electrical properties of composites of CaCu3Ti4O12-CuO. Lett. Mater. 2019, 9, 5-10.

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