Improved dielectric and ferroelectric properties of fine-grained K0.5Na0.5NbO3 ceramics via hot-press sintering

Innovative synthesis technique for high-performance dielectric resonator antennas: laser-induced shockwave sintering of potassium sodium niobate (KNN)

“…Cation/anion substitutions, such as Ta, can further influence both permittivity and temperature coefficient of resonant frequency (TCF), potentially leading to improved directivity and reduced frequency drift [35]. From morphology control perspective, tailoring grain size often through specific processing techniques can lead to lower dielectric loss and improved directivity, while texture optimization allows for controlling radiation patterns [36]. From structural design perspective, multilayer structures, where KNN is layered with other low-loss dielectrics, offer tailored permittivity profiles, enabling impedance matching optimization and potentially leading to improved directivity and reduced sidelobes [37].…”

Simultaneously Achieving Large Piezoelectricity and Low Dielectric Loss in High-Temperature BiScO3–PbTiO3-Based Ceramics

“…In ferroelectric materials, the dielectric and piezoelectric properties have the intrinsic contribution from the ion displacement and the extrinsic contribution from the domain wall motion. , Here, Rayleigh analysis is applied to characterize the intrinsic and extrinsic contributions of BS-PT ceramics and distinguish the influence of the Nb 5+ donor and Mn 2+/3+ acceptor dopants on each contribution. The Rayleigh law can be expressed by the equations P ( E ) = ε 0 [ E false( ε init ′ + α E 0 false) ± α false( E 0 2 + E 2 false) / 2 ] ε normalr ′ ( E 0 ) = ε init ′ + α E 0 where P ( E ) is the polarization under electric field E , ε init ′ is the initial (intrinsic) dielectric constant, α is the Rayleigh coefficient, and E 0 is the level of applied electric field. E 0 is usually below E c /3 to E c /2, and it does not affect the domain wall density.…”

“…23,24 Here, Rayleigh analysis is applied to characterize the intrinsic and extrinsic contributions of BS-PT ceramics and distinguish the influence of the Nb 5+ donor and Mn 2+/3+ acceptor dopants on each contribution. The Rayleigh law can be expressed by the equations 25…”

Achieving combinatory “soft” and “hard” piezoelectric properties in textured ceramics via exploring single‐crystal‐like electrostriction

“…Rayleigh analysis was conducted to elucidate the effect of texturing on intrinsic and extrinsic piezoelectric response, which was calculated from the P – E loops under low electric field, as expressed by the following equations 29 : $$$$\begin{equation}P\left( E \right) = {\varepsilon }_0\left[ {E\left( {{{\varepsilon ^{\prime}}}_{{\mathrm{init}}} + {{\alpha {E}_0 \pm \alpha \left( {E_0^2 + {E}^2} \right)} \mathord{\left/ {\vphantom {{\alpha {E}_0 \pm \alpha \left( {E_0^2 + {E}^2} \right)} {}}} \right. \kern-\nulldelimiterspace} {}}2} \right)} \right]\end{equation}$$$$ $$$$\begin{equation}{\varepsilon ^{\prime}}_r\left( {{E}_0} \right) = {\varepsilon ^{\prime}}_{{\mathrm{init}}} + \alpha {E}_0\end{equation}$$$$where P ( E ) is the field‐induced polarization, ε ′ init represents the intrinsic piezoelectric response which is composed of the lattice contribution and reversible domain wall motion, αE 0 describes the irreversible domain wall motion.…”

“…Rayleigh analysis was conducted to elucidate the effect of texturing on intrinsic and extrinsic piezoelectric response, which was calculated from the P-E loops under low electric field, as expressed by the following equations 29 :…”