Thermal properties of PZT-based ferroelectric ceramics

The thermal properties of piezoelectric ceramics (PKR-8, PKR-7M) based on lead zirconate titanate solid solutions Pb(Ti, Zr)O₃ were studied over the temperature range 300–800 K. The thermal conductivity and thermal expansion coefficients were found to exhibit an anomalous behavior in the region of the ferroelectric phase transition.     

Thermal expansion coefficient of TGS near the critical temperature

Careful measurement shows that the thermal expansion coefficient of TGS along the ferroelectric axis is constant in the range T?T_c ? 0.02 K in agreement with the Devonshire-Landau theory. The logarithmic anomaly reported by Schürmann et al. is not observed.     

Order-parameter coupling in the improper ferroelectric lawsonite

Low-temperature specific heat and thermal expansion measurements are used to study the hydrogen-based ferroelectric lawsonite over the temperature range 1.8 K ≤ T ≤ 300 K. The second-order phase transition near 125 K is detected in the experiments, and the low-temperature phase is determined to be improper ferroelectric and co-elastic. In the ferroelectric phase T ≤ 125 K, the spontaneous polarization P(s) is proportional to (1) the volume strain e(s), and (2) the excess entropy ΔS(e). These proportionalities confirm the improper character of the ferroelectric phase transition. We develop a structural model that allows the off-centering of hydrogen positions to generate the spontaneous polarization. In the low-temperature limit we detect a Schottky anomaly (two-level system) with an energy gap of Δ ～ 0.5 meV.     

Measurement of the thermal expansion coefficients of ferroelectric crystals by a moiré interferometer

A moiré interferometer is used to measure the thermal expansion of two ferroelectric crystals, LiNbO₃ and KTiOPO₄. The crystal samples are patterned with a chromium reflective grating and used as a diffractive component in a reflective grating interferometer. The thermal expansion of all the three axes of congruent LiNbO₃ and of x and y axes of the flux-grown KTiOPO₄ were measured from room temperature to 200 °C. For this temperature range the thermal expansion coefficient has been modeled by a second-order polynomial and its coefficients have been estimated by accurate analysis of the resulting moiré fringe pattern.     

Thermal expansion coefficient of ferroelectric trigycine selenate near the critical temperature

Careful measurement shows that the thermal expansion coefficient of TGSe along the ferroelectric b-axis exhibits a logarithmic anomaly in the range 0.1 K T − T_c 7 K. The peak value at T_c is about 25 times as large as the observed in TGS, whereas the critical anomaly is very similar to that of TGS.     

Specific features of the thermal physical properties of relaxor ceramics based on lead zirconate titanate

The heat capacity and thermal expansion of ferroelectric relaxors based on lead zirconate titanate are studied near the diffuse phase transition. It is shown that no spontaneous phase transitions from the paraelectric phase to the ferroelectric phase and from the relaxor state to the normal ferroelectric state occur in an ensemble of nanometer-sized polar regions. It is noted that the transitions can be caused only by external electric fields or storage for a fairly long time.     

Caloric characteristics of PbTiO3 in the temperature range of the ferroelectric phase transition

The heat capacity and thermal expansion of the PbTiO₃ ceramic sample have been measured in the temperature range 80?C970 K. The electrocaloric and barocaloric efficiencies of lead titanate in the ferroelectric phase transition range have been investigated by analyzing the experimental data in terms of the thermodynamic theory of phase transitions, the electrical equation of state P(T, E), the Pippard equation, and the S(T, p) diagram.     

Phase-matched second-harmonic generation due to thermal expansion of TlGaSe2 layered crystal

Second-harmonic generation effects have been investigated in TlGaSe₂ layered crystal over a temperature range where ferroelectric phase exists. Pronounced periodical changes of the second-harmonic signal with temperature have been discovered. The observed effect is explained within the phase synchronism condition which changes with the temperature. The main mechanism of the thermal expansion of the sample in the observed phenomenon is explained.     

Dielectric,structural and specific heat properties of lead-free [(1−x)(Na0.5Bi0.5)−xBa]Zr1−yTiyO3 ceramics (x = 0.06, 0.085, 0.09, 0.1 and y = 0.97)

Lead-free [(1?x)(Na_0.5Bi_0.5)?xBa]Zr_1?yTi_yO₃ ceramics (x = 0.06, 0.085, 0.09, 0.1 and y = 0.97) have been prepared by solid-state hot-pressing sintering process. The obtained samples reveal perovskite structure. Structural, thermal expansion, heat capacity, ferroelectric and dielectric measurements have been carried out on these samples in a wide temperature range. The broad anomalies were observed in thermal expansion and heat capacity, which approximately correspond to a structural, ferroelectric and dielectric properties anomaly. These anomalies can be related to temperature features of polar regions and a formation of long-range-order ferroelectric phase. The determined Burns temperature was found to increase with increasing Ba content. The obtained results are discussed in terms of local electric and strain fields caused by a difference in the ionic radii of (Na,Bi) and Ba, and Ti and Zr ions. The NBT–BTZ system is expected to be a new promising candidate for lead-free electronic ceramics.     

Thermal expansion of Sn2P2S6 crystals

We present the results for thermal expansion coefficients of Sn₂P₂S₆ crystals determined both in the crystallographic system and the system based on eigenvectors of thermal expansion tensor. Peculiarities of temperature evolution of the indicative surface of thermal expansion tensor for Sn₂P₂S₆ are discussed, including the region of their ferroelectric phase transition.     

Thermodynamic formalism of phase transitions in solid solutions

A thermodynamic theory of ferroelectric and ferroelectric-semiconductor solid solutions is presented with account of the effect of hydrostatic pressure in the cases of sharp as well as diffuse transitions. A number of analytical relations are obtained which allow to estimate the effect of admixture concentration and hydrostatic pressure on dielectric permeability, transition temperature, Curie-Weiss constant, heat capacity, thermal expansion coefficient and other properties of crystals with a ferroelectric subsystem. The theoretical results are compared with the experimental data.     

Low temperature thermal expansion of NaNO2 along the ferroelectric b-axis

Measurements of the low temperature thermal expansion of ferroelectric NaNO₂ along the ferroelectric b-axis have been performed with a three terminal capacitance dilatometer, both in single domain and multidomain state.A contribution, due to domain walls, is present when the sample is in multidomain state. An Einstein contribution with ?_E ～ 120 K is present in both domain-states of the sample.     

On the theory of ferroelectric transition in the crystal LiNbO3

A simple model for ferroelectric transition in the crystal LiNbO₃ is proposed. It is considered that one of two optical branches of vibrations of the system of crystal planes in the direction of trigonal c-axis (on which the ions Li⁺, Nb⁵⁺ and O²⁻ are distributed) plays the role of the “soft mode” at the ferroelectric transition in LiNbO₃. The dynamic problem of these plane vibrations is solved. For frequencies of optical modes the analytical expressions depending on coordinates, charges and weights of ions are obtained. It is shown, that the frequency of one of these two optical modes, under a certain condition, tends to zero (soft mode). This condition enables one to find with high accuracy the dispositions of ions in both ferroelectric and paraelectric phases and gives an opportunity to follow the changes of these dispositions at the phase transition. Then, it is assumed that the reason of a ferroelectric transition is the thermal expansion of crystal. On the basis of this assumption the thermal shifts of ions and the Curie-Weiss law for the square of the frequency of SM are obtained.     

Thermal expansion of the Sn2P2(Se0.28S0.72)6 solid solutions

In the present work, we have experimentally studied and analysed the dilatometric properties of Sn₂P₂(Se_0.28S_0.72)₆ crystals during ferroelectric phase transition. A complete matrix of thermal expansion tensors as well as the characteristic surface of the thermal expansion tensor has been obtained. The critical exponent for the volume thermal expansion coefficient in Sn₂P₂(Se_0.28S_0.72)₆ crystals has been determined to be equal to 0.50 ± 0.06, which is peculiar to tricritical behaviour. Non-agreement in the values of the critical exponents evaluated from the temperature dependencies of relative elongation (0.17 ± 0.01) and volume thermal expansion coefficient (0.50 ± 0.06) is shown to be due to the possible temperature rotation of the spontaneous polarisation vector.     

Dielectric properties of porous aluminum and silicon oxides with inclusions of triglycine sulfate and its modified analogs

This paper reports on an investigation of the temperature dependences of the capacitance and conductance of composite materials prepared by incorporating the ferroelectric TGS and its analogs—TGS with addition of L,α-alanine and chromium—into porous Al₂O₃ and SiO₂ matrices. It has been established that conduction of the structures under study involves charge transport predominantly through the ferroelectric embedded in the porous matrix. A mechanism is proposed to account for the displacement of the phase transition temperature of the ferroelectric inclusion under “restricted geometry” conditions, which is driven by the difference between the thermal expansion coefficients of the porous matrix and the embedded ferroelectric.     

Phase transition and linear thermal expansion of (Pb1− x Ba x )ZrO3 ceramics

(Pb_{1? x} Ba _x )ZrO₃ ceramics for the composition range 0?≤?x?≤?0.30 were prepared by the mixed oxide solid state reaction method. Phase transition was studied by dielectric and dilatometric measurements. The ferroelectric to paraelectric phase transition temperature was progressively shifted to a lower temperature by replacing lead with barium. The x?=?0.20 sample showed the maximum dielectric constant of 16,300 at the transition temperature. For compositions 0?≤?x?≤?0.075, the antiferroelectric to ferroelectric phase transition exhibited a large linear thermal expansion. However, the antiferroelectric to ferroelectric phase transition did not exist for 0.10?≤?x?≤?0.30 samples. A phase diagram for PBZ ceramics prepared by the conventional mixed oxide method was also present.     

Influence of thermal treatment on the dynamics of the Goldstone mode in ferroelectric liquid crystal gel

ABSTRACT

Broadband dielectric spectroscopy was applied to investigate the effect of gel-former agent on the dynamics of the collective modes in a ferroelectric liquid crystal mixture. In the investigated range of gel concentrations, the dynamics of the Goldstone mode is significantly reduced due to the formation of a hydrogen bonding network of the gel-former agent in ferroelectric liquid crystal. The observed changes in dynamics of the collective processes are sensitive to the history of the thermal treatment of the samples.     

单体浓度对聚合物稳定铁电液晶稳定性的影响

制备了不同单体浓度的聚合物稳定铁电液晶器件,测试了震动实验和热稳定实验前后样品的排列织构、电光特性和对比度.用原子力显微镜研究了各样品的聚合物形貌,表明在器件内部形成了沿摩擦方向延伸的聚合物网络,并且随着单体含量的增加聚合物网络更加致密.由于聚合物网络体锚定的引入,使得铁电液晶分子在外力和温度场下的运动受到限制,聚合物体锚定的增强使聚合物稳定铁电液晶的稳定性也逐渐提高.实验结果表明,单体含量为4％时,聚合物稳定铁电液晶的抗震性和热稳定性良好,电光曲线为无阈值“V”字型,对比度达150∶1.     

On the dielectric and thermal behaviour of the ferroelectric NaNO2

The temperature dependence of the spontaneous polarization of the uniaxial ferroelectric NaNO₂ is measured. The results are discussed in connection with the known behaviour of the dielectric constant and of the specific heat. They can be represented by a Landau expansion of the thermodynamic potential describing a phase transition of the first order. The coefficients of this expansion could be uniquely determined from the data of the ferroelectric phase.     

Landau behaviour of the heat capacity of AgNa(NO2)2 close to the nearly tricritical ferroelectric phase transition

The heat capacity of a single crystal of the uniaxial ferroelectric AgNa(NO₂)₂ was measured close to the nearly tricritical phase transition. In the ferroelectric phase a strong temperature dependence of the anomaleous specific heat is found which obeys a temperature law (θ _f —T)^?0.494. A small latent heat was detected nearT _c. The thermal behaviour of AgNa(NO₂)₂ is described by a Landau type theory, from which the non linear coefficientsζ andζ of the free energy expansion are derived. The thermal data fit well to the known dielectric behaviour.