A method of determining acoustical physical constants for piezoelectric materials by line-focus-beam acoustic microscopy

Takanaga, Izumi; Kushibiki, J.

doi:10.1109/tuffc.2002.1020159

Cited by 18 publications

(8 citation statements)

References 37 publications

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“…Therefore, in LiNbO 3 the bonding between the atoms along the c-direction is stronger than that between the atoms along the a-b plane. Takanaga et al 15 The third-order elastic constants evaluated in the present work are given in Table 4 along with the reported values of Cho et al 20 , Nakagawa et al 21 and Philip et al 22 .The results obtained in the present work are of the same order with those of Cho et al 20 . All the thirdorder elastic constants of LiNbO 3 are negative except C 444.…”

Section: Resultssupporting

confidence: 84%

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Higher Order Elastic Constants, Gruneisen Parameters and Lattice Thermal Expansion of Lithium Niobate

Philip

Menon

Indulekha

2006

Journal of Chemistry

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Abstract:The second and third-order elastic constants and pressure derivatives of second-order elastic constants of trigonal LiNbO 3 (lithium niobate) have been obtained using the deformation theory. The strain energy density estimated using finite strain elasticity is compared with the strain dependent lattice energy density obtained from the elastic continuum model approximation. The second-order elastic constants and the non-vanishing third-order elastic constants along with the pressure derivatives of trigonal LiNbO 3 are obtained in the present work. The second and third-order elastic constants are compared with available experimental values. The second-order elastic constant 11 C which corresponds to the elastic stiffness along the basal plane of the crystal is less than 33 C which corresponds to the elastic stiffness tensor component along the c-axis of the crystal. The pressure derivatives, dp C d ij / ′ obtained in the present work, indicate that trigonal LiNbO 3 is compressible. The higher order elastic constants are used to find the generalized Gruneisen parameters of the elastic waves propagating in different directions in LiNbO 3 . The Brugger gammas are evaluated and the low temperature limit of the Gruneisen gamma is obtained. The results are compared with available reported values.

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Section: Resultssupporting

confidence: 84%

“…Low temperature lattice thermal expansion of trigonal LiNbO 3 is also obtained. The results are compared with those obtained by other workers [15][16][17][18][19][20][21][22] .…”

Section: Introductionmentioning

confidence: 88%

Higher Order Elastic Constants, Gruneisen Parameters and Lattice Thermal Expansion of Lithium Niobate

Philip

Menon

Indulekha

2006

Journal of Chemistry

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“…2 schematically illustrates the calibration method for the LFB-UMC system. First, the acoustical physical constants of standard specimens (elastic constants c E , piezoelectric constants e, dielectric constants ε S , and density ρ) must be accurately determined in advance [13], [15], [21]- [23]. Using the acoustical physical constants, we conducted calculations to obtain the theoretical values of the LSAW propagation characteristics according to the analytical procedure described in the literature [24].…”

Section: Calibration Methodsmentioning

confidence: 99%

“…During our research in evaluating various crystals, we found that there was a scatter in velocity on the order of 0.1% between systems for the calibrated results using such standard specimens. This becomes a major problem when determining the relationships between chemical and physical properties [3], [10], and for elastic constants [16]- [21] that require high measurement accuracy.…”

Section: Introductionmentioning

confidence: 99%

Development of an improved calibration method for the LFB ultrasonic material characterization system

Ohashi

Kushibiki

2004

IEEE Trans. Ultrason., Ferroelect., Freq. Contr.

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We investigated standard specimens for accurately calibrating the line-focus-beam ultrasonic material characterization (LFB-UMC) system without system dependencies. We evaluated several types of lithium tantalate (LiTaO3) substrates using two LFB-UMC systems with different device/system characteristics to measure and calibrate the propagation characteristics of the leaky surface acoustic waves (LSAWs), and analyzed the variations between the calibrated results. We concluded from this analysis that, by selecting materials with the cut surfaces and propagation directions of standard specimens that are identical to the objects to be calibrated, calibration errors resulting from different performance characteristics between the two systems could be nearly eliminated. Also, analytical errors caused by the effects of spectra with two close peaks (another propagation wave mode), one of the most common problems of characterization in the past, could be eliminated at the same time by this method.

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“…LiNbO 3 和 LiTaO 3 具有较好的介电、压电、非线性光学、光折变和高损失阈等特性, 广泛应用于电光设备和光学器件 [1][2] 。LiNbO 3 和 LiTaO 3 晶体具有较高声波速度和良好的机电耦合性能, 可作为薄膜、激光和智能材料 [3][4] 。同时, LiNbO 3 和 LiTaO 3 晶体居里温度分别为 1169 [5] 和 618℃ [6] , 杨氏模量分别为 247.6 和 301.8 GPa, 并且整体显示脆性 [7] 。理论研究提示 LiNbO 3 晶体高压下有稳定的结构 [8][9] , 约在 25 GPa 时由三方晶系 R3c 转变成正交晶系 Pnma, LiTaO 3 晶体相变压强约为 37.9 GPa [10][11][12][13] 。通过金属 Mn 原子代替 LiNbO 3 晶体的 Li、Nb 位原子, 可研究其电子结构、磁性和光学性质, 并能有效地提高 LiNbO 3 晶体的物理性能 [14] 。据 Reichenbach 等 [15] 报道, Mg 掺杂 LiNbO 3 和 LiTaO 3 可改变其光致发光特性。Zhao 等 [16] 通过第一性原理研究认为, 双金属 Fe:Mg 掺杂 LiNbO 3 晶体后, 增强了晶体在可见光区间的吸收性能, 从而加强了光折射和光电导效应。 Mamoun 等 [17] 计算了 LiNbO 3 晶体光学性质以及低频时寻常光(O 光)和非寻常光(e 光)折射率的变化趋势。本课题组前期报道了高压下 LiNbO 3 晶体电子结构和光学性质 [18] 。LiNbO 3 和 LiTaO 3 晶体相似从而导致光学性质几乎一致, 但这两种晶体的光折射现象尚没有全面研究。 LiNbO 3 和 LiTaO 3 作为良好压电材料, 其平面声波在实际应用中有重要意义。有文献报道, 利用弹性模量计算 LiNbO 3 和 LiTaO 3 声波速度 [7] 。但目前为止, 对平面声波的研究仍局限于特定的晶向或晶面 [3][4][19][20][21][22][23]…”

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Electronic Structure, Plane Acoustic Velocities and Refractive Properties of LiNbO$lt;inf$gt;3$lt;/inf$gt; and LiTaO$lt;inf$gt;3$lt;/inf$gt;

Dong-Yuan¹,

Cheng²,

Chen³

et al. 2016

Journal of Inorganic Materials

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Lattice parameters, electronic structures and elastic constants of lithium niobate and lithium tantalate were calculated with the plane wave pseudopotential method based on the first-principles density functional theory. The results show that calculated lattice parameters and elastic constants are in consistent with the corresponding experimental values. It was found that the bottom of the valence band and the top of the conductive band are mainly determined by electron orbits of O-2p and Nb-4d (Ta-5d). The chemical bonds theory indicate that Li, Nb (Ta) and O atoms have two types of bonds, and the Mulliken population analysis exhibits that there are two corresponding bond populations. The Nb-O (Ta-O) covalence is stronger than that of Li-O, and band length shorter than that of Li-O. Moreover, the planar acoustic velocities, studied by Christoffel equation, shows that the three-dimensional images of the planar acoustic wave consisting of a longitudinal wave and two transverse waves, indicating the anisotropic feature. The velocity of the longitudinal wave is larger than those of the two transverse waves. In xz and yz planes, not only the plane projections of the planar acoustic waves show the stronger anisotropy than those in xy plane which have a six-fold symmetry, but also the velocities of the two transverse waves are equal in   001 and [00 1] directions. The 无机材料学报第 31 卷 calculated static dielectric constants and optical permittivity indicate the refractive index of LiNbO 3 is stronger than that of LiTaO 3 .

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A method of determining acoustical physical constants for piezoelectric materials by line-focus-beam acoustic microscopy

Cited by 18 publications

References 37 publications

Higher Order Elastic Constants, Gruneisen Parameters and Lattice Thermal Expansion of Lithium Niobate

Higher Order Elastic Constants, Gruneisen Parameters and Lattice Thermal Expansion of Lithium Niobate

Development of an improved calibration method for the LFB ultrasonic material characterization system

Electronic Structure, Plane Acoustic Velocities and Refractive Properties of LiNbO$lt;inf$gt;3$lt;/inf$gt; and LiTaO$lt;inf$gt;3$lt;/inf$gt;

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