non-Debye Relaxation Behavior Research Articles

Photocatalytic activity of polyaniline‐potassium doped nickel oxide nanocomposites: A comprehensive investigation on multifaceted properties

AbstractPolyaniline‐potassium doped nickel oxide nanocomposites (PANI/KNO) were efficiently synthesized via an in situ chemical oxidation method, meticulously confirmed by comprehensive x‐ray diffraction, Fourier transformation infrared spectroscopy, energy dispersive x‐ray spectroscopy, selected area electron diffraction, and x‐ray photoelectron spectroscopy analyses. The crystallite size and strain exhibited distinct behaviors, while field emission scanning electron microscopy revealed a blend of irregular spherical shapes and nanofibers, further confirmed by high resolution transmission electron microscopy. These composites exhibited significantly enhanced thermal stability, surpassing PANI by 1.39 times, and showcased a band gap exceeding 3 eV, along with multiple photoluminescence peaks at room temperature (RT). Moreover, their RT AC conductivity experienced a remarkable surge by 4.91 times compared to pure polyaniline. Jonscher's Power Law model and the Havriliak–Negami relaxation model are employed to elucidate the electrical properties of composite materials. The composites displayed nonDebye relaxation behavior with increased conductivity, as observed through impedance analysis, electrical modulus evaluation, and dielectric constant assessment. Additionally, evident superparamagnetic properties and multiple magnetic domains further contributed to their effectiveness. The PANI/KNO composite demonstrated photocatalytic efficiency, achieving over 90% degradation of methylene blue dye across four cycles, thus highlighting its superior photostability. Furthermore, investigations into its response to pH variations and scavenger activity underscored its immense potential for highly effective photocatalytic applications.

Dy3+ and Sm3+ ratio variation effects on electrical properties of lithium fluoride bismuth borate glass system

Since less attention was paid to study of electric properties of glasses doped with RE ions, in present work conductivity (AC and DC) and dielectric properties of Dysprosium (Dy3+) and Samarium (Sm3+) ion co-doped 60B2O3•30LiF•10Bi2O3 glasses were examined. Conventional melt quench method was used to synthesize the amorphous glass samples. It was observed that dc conductivity obeyed the Arrhenius law and the ac conductivity followed Jonscher's Power Law. The Conductivity mechanism was investigated on the basis of the trend followed by frequency exponent “s” parameter and all the compositions satisfied the Overlapping large polaron tunnelling (OLPT) model. Dielectric properties: Dielectric Constant (ε′), Dielectric loss (ε'′) and tangent loss (tanδ) were also investigated and observed to decrease with frequency and finally attained a minimum constant value at higher frequencies. The high rate of change in dielectric properties at low frequencies was attributed to space charge polarization while at higher frequencies it was decreased due to inertia of ions. Cole-Cole plots encompasses depressed semicircular arcs which evidenced the presence of constant phase element and non-Debye relaxation behaviour.

Exploration of the charge transport mechanism, complex impedance, dielectric/electric modulus and energy storage characteristics of the aloe vera (Aloe Barbadensis Miller) plant

Complex impedance spectra at room temperature in the frequency range of 8 Hz—5 MHz were measured on freshly cut leaf sections of the Aloe vera plant by AC impedance spectroscopy. They were analyzed using a classical ‘brickwork’ equivalent circuit composed of grain and grain boundary contributions commonly applied to solid-state materials. The obtained grain resistance/capacitance was 0.4 MΩ/72 pF and grain boundary resistance/ capacitance was 66.4 MΩ/50 nF. The determined conductivity changed according to the Jonscher power law with σ DC of 4.02 · 10–5 (Ωm)−1 and frequency constant of 0.92 characteristic for hopping as the conduction mechanism. Analysis of dielectric permittivity and electric modulus confirmed the non-Debye relaxation behavior. Nyquist plots for electric modulus revealed conductivity relaxation in the low frequency attributed to grain boundaries and impedance modulus displayed dielectric relaxation in the high frequency region associated with grains. A correlation has been established among the investigated parameters, morphology, and EIS-derived simulated parameters.

Preparation and performance of a Sr2+ doped LaMnO3 cathode for low temperature solid oxide fuel cells

Material fabrication and properties of this material are mostly affecting the requirement of the material, used for development of the component of the solid oxide fuel cell, mostly used as non-conventional energy source. Cathode material La0.90Sr0.10MnO3 has been synthesized by well-known solid state method. Structural properties of the material have been obtained by x-ray diffraction and scanning electron microscopy which confirmed the crystalline nature, nano-sized and porous material. All peaks obtained from X-ray diffraction has been identified single phase of the material. Density plays an important role while material used as cathode, and has been found by the use of Archimedes’s principle. Stability of the material is also an important parameter, and thermal gravimetric analysis confirmed the weight loss during sintering. Dielectric as well as conductive performance of the perovskite has been confirmed by the impedance spectroscopy. Dielectric study confirmed that the material obey non-Debye relaxation behavior. Conductivity more than 100 S/cm at 800 °C temperature, and activation energy 0.19 eV inveterate, as fabricated material is best material for the use of cathode component of the solid oxide fuel cell.

Structural, morphological, and impedance spectroscopy of Tin oxide -Titania based electronic material

A ceramic composite electronic sample (Sn0·6Ti0.4)O2 is processed through solid-state reaction approach. Crystallographic, morphological, and different temperature-frequency-dependent electrical characteristics have been examined. The formation of a crystallographic polycrystalline tetragonal structure has been ensured through X-Ray Diffraction. The hydrophilic porous nature with uniform distribution of grains is ascertained through SEM. The electrical parameters are evaluated across broad temperatures and frequency ranges of 35 °C–450 °C and 1 kHz - 1 MHz respectively. A superior dielectric permittivity (εr: 44,730), low loss tangent (tanδ: 11.074) (for 400 °C, frequency 1 kHz) with enhanced capacitive behaviour are depicted. The conductivity spectrum reveals the nature and mechanism of conduction. The impedance analyzer divulges the realization of the grain and grain boundary effect on the electrical characteristics. The Non-Debye relaxation behaviour is substantiated by an electric modulus analysis. The comprehensive investigations illustrate this component as a capacitive electronic element for humidity sensor applications.

Investigation on dielectric properties of sandwich-structured fluoroelastomer/PVDF films containing graphene

The sandwich-structured FKM/PVDF film with different GNP components fabricated via the hot-pressing technique were studied by dielectric relaxation spectroscopy over a range of frequency (20 Hz-30 MHz) and temperature (25–205 °C). Compared with single-layered PVDF film, the curie transition temperature (Tc) and melting temperature (Tm) of sandwich-structured FKM/PVDF films obviously increase, but their crystallinities decrease. The permittivities of sandwich-structured FKM/PVDF films are higher than single-layered PVDF film throughout whole temperature range, and the dielectric losses of three films have a little change. In addition, the Cole-Cole plots and electric modulus spectra of all films reveal the non-Debye relaxation behavior. σdc of sandwich-structured FKM/PVDF films increase slightly compared to single-layered PVDF film, and σac decreases. Both Eτ and Eσ of sandwich-structured FKM/PVDF films slightly decrease due to the combined effect between the high conductivity of GNP and the barrier effect of layer/layer interface. A higher Ue of 8.1 J/cm3 can be obtained at 350 MV/m for sandwich-structured film with 0.5% GNP. The sandwich-structured FKM/PVDF films with low content GNP have potential application in dielectric material.

Fatigue free relaxor ferroelectric and electrocatalytic hydrogen evolution of yttrium substituted BaBi2Nb2O9 layered structured nanoceramics for energy storage application

Lead-free bismuth layered structured ferroelectric ceramics are highly important in superior energy storage applications. The slim hysteresis curve with high energy storage density and efficiency is expected for wide application. In this regard, the suitable electrocatalyst for the generation of hydrogen gas through water-splitting show high importance as an alternative energy source. The current article aims to investigate the above goals by incorporating 5% yttrium at the place of bismuth for BaBi 2 Nb 2 O 9 relaxor ferroelectrics. The solid-state synthesized method successfully prepared the single-phase material and is confirmed through spectroscopic and morphological analysis. The dielectric characteristics follow diffused phase transition with broad temperature dependence that indicated the space charge polarization in the material owing to the presence of Y 3+ at different domains. The higher degree of diffuseness and low dielectric loss implies the significant role of charge carriers during frequency and temperature variation in the dielectric study. Impedance spectroscopy analysis indicates the non-Debye type relaxation and NTCR behavior of the material that is correlated to the multiple relaxation processes. The slim P-E hysteresis curve and fatigue-free properties of the materials up to 10 6 cycles reflect its usefulness in the potential device as NVRAM applications. The materials are also used for hydrogen evolution reaction (HER) under an electrochemical condition. A lower overpotential value of 180 mV is obtained at 10 mA cm −2 current density. The lower Tafel slope and charge transfer resistance value support its superior HER activity. The above results demonstrated the potential application of the studied material (BaBi 1 · 9 Y 0 · 1 Nb 2 O 9 ) in the energy storage application and as an electrocatalyst for alternative energy source.

Conductivity measurement and dielectric, impedance and modulus spectroscopic studies on bis (P-nitrophenol) melaminium monohydrate

The present work is aimed to study the dielectric and electrical characteristics of bis (P-nitrophenol) melaminium monohydrate (BNPM) over the temperature and frequency ranges of 333–453 K and 50 Hz–5 MHz, respectively. The dielectric properties such as dielectric constant (ε′), dielectric loss (ε″), ac-conductivity (σac), real (M′) and imaginary part (M″) of dielectric modulus were investigated as a function of temperature and frequency. The impedance analysis has been carried out using Cole-Cole plots to elucidate the electrical conduction mechanism. Further, observations indicated that the grain boundaries are more resistive and capacitive than the grains, inducing inhomogeneity in the material, which, in turn, causes broad frequency-dependent dielectric anomalies. The observed frequency-dependence of the AC conductivity validated the Jonscher power law. Further, an asymmetric dispersion peak in the imaginary part of the electrical modulus (M”) was noticed, indicating that the fabricated material exhibits non-Debye relaxation behavior.

Structural, morphological, electrical, and magnetic characteristics of 20MnFe2O4-80SiO2 nanocomposite synthesized by the one-pot auto-combustion route

We report an investigation of the structural, morphological, the ac-dc electrical, magnetic, and Mössbauer spectroscopy properties of 20MnFe2O4-80SiO2 nanocomposite prepared using a one-step and facile auto-combustion approach. XRD pattern shows the formation of MnFe2O4 nanocrystallite without any crystallization of the SiO2 phase. However, the presence of a secondary phase of the nanosized α-Fe2O3 particles was also detected. The morphological analysis showed aggregation of polygonal magnetic nano-crystallites dispersed non-uniformly in a silica matrix. The dc electrical measurements performed on a wide range of temperatures from 120 to 400 K showed the semiconducting nature of the nanocomposite. The temperature dependence of dc conductivity could be perfectly fitted to the nearest neighborhood hopping model with activation energy, ΔENNH, of 0.45 eV. The Nyquist plots demonstrated a nonmonotonous thermally activated trend and non-Debye relaxation behavior. An equivalent circuit was successfully fitted to the complex impedance spectra. The variation of both grain and grain boundary conductivities as a function of temperature exhibited three distinct regions, semiconducting-metallic-semiconducting with different activation energies over the measured temperature window. The provided description of such behavior is further advocated by the ac conductivity and dielectric modulus studies. VSM measurements revealed that the nanocomposite magnetic behavior deviates from the ideal non-interacting superparamagnetic picture, due to the presence of α-Fe2O3 nanocrystalline impurities and relatively intensive exchange interactions between ions. Mössbauer spectra showed the presence of Fe3+ ions with sixfold environment and also confirmed the existence of a sextet related to α-Fe2O3 with a quantity of about 20% out of magnetic components. Fe3+ superparamagnetic doublets were also found within the fitting procedure.

Dielectric spectroscopy and ferroelectric studies of multiferroic bismuth ferrite modified barium titanate ceramics for energy storage capacitor applications

This study reports a single-phase solid-solution of barium titanate- bismuth ferrite (1-x) BaTiO3-xBiFeO3 (x = 0.0, 0.1, 0.2 and 0.3, abbreviated as BTO, BTBF1, BTBF2 and BTBF3) composition fabricated via conventional solid-state reaction technique. The BFO modified BTO ceramics exhibit a single perovskite structure with pseudo-cubic (x ≥ 0.1) symmetry, and the c/a ratio decreases with an increase in BFO content. Dielectric studies suggest that the ferroelectric-paraelectric phase transition around 150 °C for BTBF1 ceramic increases to 180 °C for BTBF3 ceramic, attributed to the higher transition temperature of BFO ceramic. The temperature-dependent impedance studies suggest non-Debye type relaxation and NTCR (negative temperature coefficient of resistance) behavior of the composition. Among the prepared ceramics, BTBF1 ceramic showed an improved energy density of 39.91 mJ/cm3 and energy efficiency of 60.92%. Thus, prepared ceramics can be considered a potential candidate for energy storage applications.

Study of dielectric property, electric modulus and conduction phenomena of Sn-modified Ba0.5Sr0.5TiO3 ceramics

BST ceramics having a composition of Ba0.5Sr0.5Ti1- x Sn x O3 (x = 0.03) was prepared following a high-temperature solid state reaction route with BaCO3, SrCO3, TiO2 and SnO2 as raw materials with a suitable stoichiometric ratio. The structural configuration was confirmed by XRD study, and the analysis revealed the structure to be of cubical type. SEM analysis was carried out to get a clear picture of grain and grain boundary. Dielectric and electrical characterization were conducted as a function of temperature as well as frequency ranging from 1kHz to 1 MHz. Complex and modulus spectroscopy analysis were carried out for deep understanding of the material behavior. Broadened dielectric loss peaks were obtained beyond a temperature of 250 °C indicating a non-Debye type relaxation behavior. relaxation peaks were observed at high temperature in a modulus plot, and the activation energies were calculated. The ac conduction phenomenon was found to be thermally activated and the frequency dependence followed Johnscher’s Law. In the present study, a noticeable invariance nature of dielectric constant as well as flat and moderately low loss was observed at moderate temperatures and over a broad range of frequency making the material suitable for wide band application.

MODIFICATION OF STRUCTURAL, THERMAL, ELECTRICAL AND DIELECTRIC PROPERTIES OF La0.7Sr0.3FexMn1-xO3 {x=0.2 AND 0.3} WITH Fe DOPING FOR CATHODE APPLICATION IN SOFCs

La0.7Sr0.3FexMn1-xO3 for (x=0.20 and 0.30) compound was modified by substituting Fe at Mn site in order to study different physical properties for its use as the cathode of SOFCs. The solid-state method was used to synthesize the material. The single crystallized phase was observed by X-ray diffraction and the size of the particle was observed to be in micrometer. Micrographs obtained from scanning electron microscope indicate a decrease in grain size with Fe doping. Density was calculated by Archimedes Principle and calculated values indicate increases in density with Fe substitution. Thermal expansion coefficient (TEC) observed by dilatometer decreased with Fe doping and thermogravimetric analysis showed weight gain by the compound with the rise in temperature. Impedance spectroscope recognized the non-Debye relaxation behavior of the compounds. Fe- substitution enhanced the conductivity and decreased the activation energy. Investigated parameters indicated that the prepared perovskite compounds are suitable for cathode application in SOFC.

Structural, thermal, electrical and dielectric properties of La0.7Sr0.3FexMn1-xO3 (x = 0.10 and 0.40) cathode for solid oxide fuel cell

La0.7Sr0.3Fe0.1Mn0.9O3 and La0.7Sr0.3Fe0.4Mn0.6O3 perovskite were prepared via solid state reaction method for cathode application in solid oxide fuel cell. XRD analysis confirmed single phase and crystalline nature of the both compounds. Density was calculated by Archimedes Principle and surface morphologies were investigated via Scanning Electron Microscope. Thermal behavior of the compounds was studied by thermo gravimetric analysis and dilatometer. Above 350 0C temperature, material started gaining weight and increased content of Fe decreased its thermal expansion coefficient. Impedance spectroscope confirmed the non-Debye relaxation behaviour. Fe substitution enhanced the dielectric constant as well as conductivity and decreased the activation energy of the material. Maximum value of conductivity was found to be 116.31 S/cm for La0.7Sr0.3Fe0.4Mn0.6O3 compound. Investigated parameters recommended that as prepared materials are suitable materials for cathode of SOFCs.

Effect of Jahn-Teller distortion on microstructural and dielectric properties of La based double perovskites

The double perovskite La2FeMn1−xCuxO6 ((x = 0.1, 0.2, 0.3, 0.4 and 0.5) was synthesized by using conventional solid-state reaction method. The crystal structure of the double perovskite was confirmed to be orthorhombic (Pnma) by Rietveld refinement of the powder X-ray diffraction. The average grain sizes of the prepared samples were calculated to be in the range of 0.5–1 µm. Energy dispersive x-ray spectroscopy confirmed the presence of La, Fe, Mn, Cu and O in the samples. Jahn-Teller distortion plays a crucial role in the structural distortion of the system. Due to the ionic radii mismatch of the B-site substituents, an extra Raman mode was identified for substituted systems. The frequency dependence of dielectric, AC conductivity and impedance spectroscopy were investigated at different temperatures within the frequency range 10 Hz to 1 MHz. We observe a Maxwell-Wagner type of polarization in the variation of the dielectric constant. A non-Debye relaxation behaviour was observed in the Nyquist plot. From the behaviour of frequency exponent with temperature, the conduction mechanism was described by the Correlated Barrier Hopping model (CBH).

Influence of Ba2+ substitution on Structural, Dielectric, Thermal and Electrical behavior of La1-xBaxCo0.50 Fe0.50O3 {0.10≤ x≤ 0.40} Cathode for SOFC

La1-xBaxCo0.50Fe0.50 O3; {0.10≤ x≤ 0.40} perovskite ceramics is prepared by solid-state reaction method. The as-prepared samples are characterized by X-ray diffraction, scanning electron microscope, dilatometer, thermogravimetric analyzer (TGA) and impedance spectrometer. Samples are well crystallized in single phase and the crystal structure is found to be rhombohedral. Grains are non uniform and size of the grains is decreasing with Ba substitution. Density of the material is measured by Archimedes principle. At high temperature, reduction of cobalt and iron takes place. Thermal expansion coefficients for x = 0.10 and 0.40 at 200 °C - 800 °C temperature are 13.4 ×10-6 °C- 1 and 11.8×10-6 °C-1 respectively. Dielectric analysis shows that as prepared samples obey non-Debye relaxation behavior. The maximum value of the conductivity is 136.32 Scm-1 for x = 0.10 and 168.60 Scm-1 for x = 0.40. Activation energies are found to be 0.20 eV and 0.17 eV for x = 0.10 and 0.40 respectively. Electrical conductivity is greater than 100 Scm-1 which suggests it to be a suitable cathode material for SOFCs.

Impedance and modulus studies of Pb(Fe0.5Nb0.5)O3–Pb(Co0.33Nb0.67)O3 solid solutions

The high quality polycrystalline (1-x)Pb(Fe0.5Nb0.5)O3(PFN)–(x)Pb(Co0.33Nb0.67)O3(PCN) (abbreviated as PFCN) ceramic solid solutions (x = 0.1, 0.2, 0.3, 0.4 and 0.5) were synthesized via single-step solid-state reaction technique. The formation of a single-phase, monoclinic structure with Cm symmetry and without any secondary phase was confirmed through the room temperature (RT) X-ray diffraction (XRD). The microstructure of sintered ceramics with well-grown grains having average grain size of 1–2 µm were observed through scanning electron microscopy (SEM). To understand the electrical response of the material impedance and modulus spectroscopy studies were carried out. A detailed temperature (301–481 K) and frequency (100 Hz to 6 MHz) dependent impedance and modulus of PFCN ceramic solid solutions were reported. The impedance spectroscopy reveals the increase of conductivity in the system by the addition of Pb(Co0.33Nb0.67)O3 due to increased number of oxygen vacancies (OVs)/defects created at the grain boundary interface during the synthesis. The Z′ vs. frequency shows the creation of space charges by the participating ionized OVs in the conduction process and Z′′ vs. frequency shows the presence of temperature-dependent relaxation processes in the PFCN solid solutions. The Nyquist plot (Z′′ vs Z′) shows the depressed semicircles suggesting the deviation from Debye type of relaxation behaviour and a decrease in the grain resistance for all compositions with rise in temperature, correlates the NTCR (negative temperature coefficient of resistance) nature. The M′ vs. frequency display the step-like behavior due to dipole contribution to the modulus present in the grain and grain boundary region. Fitted Kohlrausch-Williams-Watts (KWW) function to M′′ vs. frequency demonstrates the non-Debye type relaxation behavior in the PFCN solid solutions. The mismatch of fmax in the Z′′, M′′ vs. frequency indicates the short-range mobility of localized charge carriers.

Effect of vanadium doping on the electrical charge transport and dielectric relaxation properties of Sodium Bismuth Titanate perovskite

In this work, we report the effect of vanadium doping on the conductivity and relaxation dynamics of the charge carriers in Sodium Bismuth Titanate perovskite material (Na0.5Bi0.5TiO3) prepared by a unique technique which is a combination of chemical and mechanical methods. The parent material was prepared using the citrate auto-ignition method and the mechanical alloying technique was used to incorporate V2O5 in the NBT structure. The X-ray diffraction analysis confirmed the formation of the rhombohedral phase of NBT perovskite with space group R3c in all the compositions. The microstructural analysis was done using Field Emission Scanning Electron Microscopy, Energy-dispersive X-ray spectra, and the elemental mapping of the samples. The conductivity mechanism was analyzed using the complex impedance method. The sample with 15% doping showed the highest conductivity with minimum activation energy. The activation energies for conduction, relaxation, and migration of charge carriers were found to be comparable with each other. The frequency-dependent dielectric data was analyzed using Havriliak–Negami (HN) formalism and suggested non-Debye type relaxation behaviour. The 15% dopped composition showed the highest dielectric strength. The scaling behaviour of impedance and modulus spectra confirmed the temperature-independent conduction and relaxation mechanisms.

Role of Ba2+ substitution on structural, thermal, dielectric and electrical properties of La1-xBaxMn0.50Fe0.50 O3 {0.10 ≤ x ≤ 0.40} cathode for SOFCs

La1-xBaxMn0.50Fe0.50 O3 {x = 0.10,0.20,0.30 and 0.40} perovskite fabricated by use of solid-state method and the prepared ceramic has been characterized to find the influence of Ba2+ on its thermal, structural, dielectric and electrical behavior. Result of X-ray diffraction noticeably shows single phase crystalline behavior and hexagonal crystal structure. Density calculation confirmed that Ba2+ addition decreased its value. TGA confirm weight gain above 300 °C temperature in the material. Thermal expansion coefficient have been measured for x = 0.10 and 0.40 sample and its value is 10.3 × 10−6 °C−1 and 9.2 × 10−6 °C−1 respectively up to 800 °C temperature. Electric and dielectric behavior confirmed non-Debye relaxation behavior of the material. The highest conductivity is found to be 126.44 Scm−1 and 143.38 Scm−1 for x = 0.10 at 600 °C and 291.86 Scm−1 and 349.25 Scm−1 at 800 °C temperature for x = 0.40 which confirm that with Ba2+ doping conductivity increases. Activation energy falls with Ba2+ content. Results verified that the present fabricated perovskites are suitable to be used as cathode for intermediate temperature SOFCs.

Impedance spectroscopy and transport properties of polymer-based flexible nanocomposites

The flexible nanocomposites of bismuth ferrite and polyvinylidene fluoride were prepared by the solution casting method. The X-ray diffraction technique confirms the presence of both the inorganic filler (bismuth ferrite) and polymer phases. Atomic force microscopy study shows the increasing values of root mean square (RMS) roughness in the nanocomposites. The modulus and impedance spectroscopy were performed to get insight contribution of grains, grain boundaries, and interfaces on the electrical properties. From the Nyquist plot analysis, grains effect is dominant over the grain boundaries and non-Debye type relaxation behavior is observed for the nanocomposites. Correlated barrier hopping (CBH) model is the most suitable model to explain the transport properties of the charge carriers. The hopping distance increases from 8.11 Å to 27.25 Å with increasing the content of inorganic fillers in the nanocomposites. The presence of the different conduction processes at various temperature regions is explained by the Arrhenius plot analysis.

Fabrication of Cerium Doped Nickel-Cobalt Ferrite by Co-Precipitation Method

In the modern world researchers caught the attraction towards spinal ferrites. The current work is based on spinel ferrites having formula Ni0.5Co0.5CexFe2-xO4 where (x = 0.0, 0.05, 0.1, 0.15, 0.2) Prepared by co-precipitation method. The confirmation of spinal ferrite structure was done through XRD analysis. The crystallite size was found to be in the range of 8 to 11 nm. Lattice perimeter is observe to obey the increasing trend due to replacement of larger ionic radii of cerium with smaller ionic radii of iron. Koop's phenomenological theory, Maxwell–Wagner interfacial polarization and Vegard’s law is used to explain the behavior of lattice constant. The electrical properties of prepared ferrites were revealed by impedance analyzer. Various parameters like real and imaginary parts of dialectic constant, impedance and modulus was determined. In the frequency range of 1 to 3 GHz the detailed electrical inspection was done. During the electrode polarization the effect of grains on the increasing substitution of cerium was analyzed through real and imaginary parts of electrical modulus M' and M". In the frequency range of 3 GHz the value of M' is 2.1934 × 10-1 to 2.6581 × 10-1 and the value of M" is from 4.67 × 10-3 to 3.538 × 10-3. AC conductivity spectra shows a non-Debye relaxation behavior and it dependents of conductivity on frequency. The observed dielectric constant, dialectic loss and tangent loss are found to be decreasing with the increase in frequency. The investigation shows that real and imaginary impedance Z' and Z" was found to be decreasing on lower frequencies and on higher frequencies all the curves merge with each other. The value of Z' and Z" at 3GHz frequency is in the range of 8.02 × 10-3 to 0.6073 and 3.7641 × 101 to 4.5617 ×101 respectively. Increase in frequency increases the AC conductivity. The applications of prepared nanoparticles are suggested in high frequency devices because of the splendid dielectric properties of these particles.