Phonon characteristics and dielectric properties of BaMoO4 ceramic

Xiao, En-Cai; Li, Jianzhu; Wang, Jing; Xing, Chao; Guo, Mei; Qiao, Hengyang; Wang, Qing; Qi, Zeming; Dou, Gang; Shi, Feng

doi:10.1016/j.jmat.2018.08.004

Cited by 51 publications

(16 citation statements)

References 27 publications

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“…Here, we compare the two methods in ZnNb 2 O 6 ceramic. The real ε ′( ω ) and imaginary parts ε ″( ω ) of dielectric constant were obtained via Kramers‐Kronig relationship by using:

\begin{matrix} ε^{*} (ω) = ε^{'} (ω) - i ε^{″} (ω) = \\ \{\begin{matrix} LTPC : ε_{\infty} + {false\sum}_{j = 1}^{n} \frac{S_{j} ()(, ω_{j}^{2} - ω^{2})}{{(ω_{j}^{2} - ω^{2})}^{2} + ω^{2} γ_{j}^{2}} - i \sum_{j = 1}^{n} \frac{S_{j} ω γ_{j}}{{(ω_{j}^{2} - ω^{2})}^{2} + ω^{2} γ_{j}^{2}} \\ FPSQ : ε_{\infty} {false\prod}_{j = 1}^{n} \frac{{normalΩ}_{italicjLO}^{2} - ω^{2} + i ω γ_{jLO}}{{normalΩ}_{italicjTO}^{2} - ω^{2} + i ω γ_{jTO}} \end{matrix} \end{matrix}

where ε ∞ is the dielectric constant caused by electronic polarization at the optical frequency, n is the amount of phonon modes, S j , ω j , and γ j symbolize the strength, eigen frequency, and damping constant, respectively, and, Ω jTO , γ jTO , Ω jLO , and γ jLO represent the frequency and damping coefficient of the j th transverse and longitude bands of the vibration.…”

Section: Resultsmentioning

confidence: 99%

“…However, there is no literature focusing on the intrinsic dielectric properties of ZnNb 2 O 6 ceramic. The investigations of crystal structure and lattice vibrations are crucial for the study of dielectric ceramics . For instance, far‐infrared reflectivity spectra transformed by damped oscillator mode indicate that the translational mode of Ba–O bond provides the majority of contributions to the dielectric properties in Ba 1+ x MoO 4 ceramics .…”

Section: Introductionmentioning

confidence: 99%

“…The investigations of crystal structure and lattice vibrations are crucial for the study of dielectric ceramics. [15][16][17] For instance, far-infrared reflectivity spectra transformed by damped oscillator mode indicate that the translational mode of Ba-O bond provides the majority of contributions to the dielectric properties in Ba 1+x MoO 4 ceramics. 18 The vibrations of Bi-O bond are primary factors dominating the dielectric polarizations in (1−x)BiVO 4 -xYVO 4 ceramics.…”

Section: Introductionmentioning

confidence: 99%

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Intrinsic dielectric properties of columbite ZnNb₂O₆ ceramics studied by P–V–L bond theory and Infrared spectroscopy

et al. 2019

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In this study, intrinsic dielectric properties of ZnNb2O6 ceramics were investigated using P–V–L chemical bond theory and far‐infrared reflectivity spectra. The largest bond ionicity and bond susceptibility of Nb–O bonds suggest that the dielectric polarizability is mainly determined by Nb–O bonds. Relative permittivity, calculated via P–V–L bond theory, is close to experimental value determined using TE011 mode. The Nb–O bonds are also crucial for the structural stability. According to far‐infrared reflectivity spectra and complex dielectric function analysis, a relatively consistent result between calculated and measured dielectric properties, fit using classical damped oscillator mode, indicate that the B1u mode at 168.87 cm−1 provides majority contribution to the dielectric properties.

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“…Here, we compare the two methods in ZnNb 2 O 6 ceramic. The real ε ′( ω ) and imaginary parts ε ″( ω ) of dielectric constant were obtained via Kramers‐Kronig relationship by using:

\begin{matrix} ε^{*} (ω) = ε^{'} (ω) - i ε^{″} (ω) = \\ \{\begin{matrix} LTPC : ε_{\infty} + {false\sum}_{j = 1}^{n} \frac{S_{j} ()(, ω_{j}^{2} - ω^{2})}{{(ω_{j}^{2} - ω^{2})}^{2} + ω^{2} γ_{j}^{2}} - i \sum_{j = 1}^{n} \frac{S_{j} ω γ_{j}}{{(ω_{j}^{2} - ω^{2})}^{2} + ω^{2} γ_{j}^{2}} \\ FPSQ : ε_{\infty} {false\prod}_{j = 1}^{n} \frac{{normalΩ}_{italicjLO}^{2} - ω^{2} + i ω γ_{jLO}}{{normalΩ}_{italicjTO}^{2} - ω^{2} + i ω γ_{jTO}} \end{matrix} \end{matrix}

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Intrinsic dielectric properties of columbite ZnNb₂O₆ ceramics studied by P–V–L bond theory and Infrared spectroscopy

et al. 2019

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“…As the MoO 4 units are slightly distorted tetrahedra in the crystal structure of KYb(MoO 4 ) 2 , their local symmetry is lowered. It thus results in the splitting of all the degenerate vibrations due to the crystal field (CF) effect [37,38].…”

Section: Distances To Ybmentioning

confidence: 99%

Growth, single-crystal structure, and magnetic properties of the double molybdate KYb(MoO4)2

Armand

Reibel

Granier

et al. 2021

Journal of Physics and Chemistry of Solids

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Crystals of the rare earth double molybdate KYb(MoO 4 ) 2 were grown by spontaneous nucleation from a K 2 Mo 4 O 13 flux. The typical crystals were colorless and elongated, welldeveloped plates. The material has been characterized by powder X-ray diffraction (PXRD), energy-dispersive X-ray spectrometry (EDS), and Raman spectroscopy methods. The structural properties have been investigated through single-crystal X-ray diffraction at room temperature. KYb(MoO 4 ) 2 crystallizes in the orthorhombic symmetry, space group Pbcn (No. 60), a = 5.0395(2), b = 18.2821(9), c = 7.8635(4) Å, and Z = 4. A complete ordering of the Yb 3+ and Mo 6+ cations has been found. The Yb 3+ ions are located in distorted YbO 8 antiprisms which form chains of edge-sharing, aligned along the c-axis while the Mo 6+ ions are placed in a slightly deformed tetrahedral environment of oxygen atoms. Double bridge modes of the "Mo 2 O 8 dimers" have been identified in the unpolarized Raman spectra. The temperature-dependent magnetic susceptibility of KYb(MoO 4 ) 2 follows a Curie-Weiss law with a Weiss constant of −52 K.

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“…Integration and miniaturization of telecommunication devices such as resonators and filters have led to new requirements for the properties of MWDCs. [ 1–4 ] The three most important parameters of MWDCs are an appropriate permittivity ( ε r ), high‐quality factor ( Q × f ), and near‐zero temperature coefficient of resonant frequency ( τ f ).…”

Section: Introductionmentioning

confidence: 99%

Inherent Properties and Phonon Characteristics of BaWO₄ Single Phase Ceramic

Shi

2020

Physica Status Solidi (b)

Self Cite

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BaWO4 ceramic is fabricated by conventional solid‐state reaction technique, and the intrinsic properties and the phonon characteristics of the ceramic are examined. The single‐phase BaWO4 is found in a tetragonal crystal structure as confirmed by X‐ray diffraction. Scanning electron microscopy shows well‐crystallized grains and uniform grain arrangement with clear boundaries. Raman vibrational modes are assigned, and the atomic motions of the modes are elucidated using first‐principles calculations. The intrinsic properties of the ceramic are evaluated by using the infrared vibrational mode results in a four‐parameter semiquantitative model, and the theoretical values obtained using the model are found to be in good agreement with the measured values. This analysis reveals the dielectric response mechanism of single‐phase BaWO4 ceramic. The contribution of each vibrational mode to the intrinsic properties is analyzed, and it is found that the Eu mode with a frequency of 102.02 cm−1 makes the most important contribution to the dielectric properties.

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Phonon characteristics and dielectric properties of BaMoO4 ceramic

Cited by 51 publications

References 27 publications

Intrinsic dielectric properties of columbite ZnNb₂O₆ ceramics studied by P–V–L bond theory and Infrared spectroscopy

Intrinsic dielectric properties of columbite ZnNb₂O₆ ceramics studied by P–V–L bond theory and Infrared spectroscopy

Growth, single-crystal structure, and magnetic properties of the double molybdate KYb(MoO4)2

Inherent Properties and Phonon Characteristics of BaWO₄ Single Phase Ceramic

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Phonon characteristics and dielectric properties of BaMoO4 ceramic

Cited by 51 publications

References 27 publications

Intrinsic dielectric properties of columbite ZnNb2O6 ceramics studied by P–V–L bond theory and Infrared spectroscopy

Intrinsic dielectric properties of columbite ZnNb2O6 ceramics studied by P–V–L bond theory and Infrared spectroscopy

Growth, single-crystal structure, and magnetic properties of the double molybdate KYb(MoO4)2

Inherent Properties and Phonon Characteristics of BaWO4 Single Phase Ceramic

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Product

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Intrinsic dielectric properties of columbite ZnNb₂O₆ ceramics studied by P–V–L bond theory and Infrared spectroscopy

Intrinsic dielectric properties of columbite ZnNb₂O₆ ceramics studied by P–V–L bond theory and Infrared spectroscopy

Inherent Properties and Phonon Characteristics of BaWO₄ Single Phase Ceramic