Strain and stress relationships for optical phonon modes in monoclinic crystals with 
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 as an example

Korlacki, Rafał; Stokey, Megan; Mock, A.; Knight, Sean; Papamichail, Alexis; Darakchieva, Vanya; Schubert, Mathias

doi:10.1103/physrevb.102.180101

Cited by 15 publications

(12 citation statements)

References 53 publications

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“…Stress deformation potentials ¢ P n yy , were reported by the first-principal calculation, and they are presented in Table III . 33) On one hand, values of ¢ P n yy , derived by the four-point bending tests conform with the first-principal calculation results; on the other hand, the calculated values are approximately 20% larger than the experimental results. The observed Raman shifts in the four-point bending tests could be averaged in the depth direction and estimated smaller because of the transparency of β-Ga 2 O 3 for the wavelength of an excitation laser, 40) while the stress was derived from the strain at the outermost surface when the relation between the stress and the frequency shifts were determined.…”

Section: Resultssupporting

confidence: 76%

“…[16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32] However, there are few studies on phonon deformation potentials of β-Ga 2 O 3 . 33) Therefore, we experimentally investigated the relationship between the stress and the peak frequency shift of β-Ga 2 O 3 using a four-point bending test and a thermomechanical experiment. Upon determining the phonon deformation potentials, we applied confocal Raman measurements to a β-Ga 2 O 3 chip mounted on a Cu plate with Sn96.5Ag3.0Cu0.5(SAC305) solder.…”

Section: Introductionmentioning

confidence: 99%

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Thermal stress analysis in die-attached β-Ga₂O₃ using Raman spectroscopy

Uchida¹,

Sugie²

2023

Jpn. J. Appl. Phys.

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We determine the stress deformation potentials using micro-Raman spectroscopy and evaluate thermal stress in a (-201) plane β-Ga2O3 mounted on a Cu plate with a Pb-free solder. We conduct four-point bending tests and thermomechanical experiments to experimentally determine the stress deformation potentials of Ag(4), Ag(5) and Ag(6) modes. Based on experimental results, we estimate the suitable phonon modes for evaluating the stress, and we apply confocal Raman measurements to a β-Ga2O3 chip mounted on a Cu plate with a Pb-free solder. In accordance with the theoretical relation between the phonon frequency shifts and the stress, we obtain the stress components in the (-201) plane β-Ga2O3 using the peak frequency shift of Ag(4) and Ag(5) modes. The stress components in the (-201) plane is almost same, regardless of the thermal expansion anisotropy of β-Ga2O3, and the results are consistent with those of the finite element method.

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Section: Resultssupporting

confidence: 76%

Section: Introductionmentioning

confidence: 99%

Thermal stress analysis in die-attached β-Ga₂O₃ using Raman spectroscopy

Uchida¹,

Sugie²

2023

Jpn. J. Appl. Phys.

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“…For the particular case of the monoclinic structure, there are four independent PDPs for each phonon mode of A g or B g symmetry, namely, K 11 , K 22 , K 33 , K 13 , regardless of the stress or strain pattern which maintain the monoclinic symmetry of the crystal. [61] The secular equation that gives the wavenumber shift of the vibrational modes of the strained monoclinic lattice writes…”

Section: Background Informationmentioning

confidence: 99%

Raman imaging in corrosion science: High‐temperature oxidation of the zirconium alloys used in the nuclear industry as an example

Mermoux

Duriez

2021

J Raman Spectroscopy

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Successive technological improvements have made Raman imaging systems very efficient. Raman imaging applications now cover a wide range of scientific fields, including high-temperature materials corrosion, also known as dry corrosion. The analysis of the phenomena occurring during corrosion requires knowledge in metallurgy, thermodynamics, chemical kinetics, solid-state chemistry, and physics. Part of this information (crystallographic phases, stress state, oxygen transport, etc.) can be obtained, at least qualitatively, from the analysis of Raman images of the oxidation layer. Throughout this paper, we consider as a prototypal example the oxidation of a particular zirconium alloy, Zircaloy-4, used in the nuclear industry as cladding materials in light-water reactors. Through some examples, the aim of the present paper is to describe what kind of information this method can bring, to review its merits and weaknesses. The analysis protocols methods described herein are not exhaustive, but most probably represent a simple way to read and understand the Raman images. These few examples show that rather subtle details that concern phase distribution, strain, and oxygen transport can effectively be captured by this method. Most probably, Raman imaging may be applied to other alloys or systems as well.

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“…The influence of epitaxial strain, well known from the structurally similar AlGaN system is also widely unknown. [44][45][46] The strain-stress relationships for all phonon modes were reported by Korlacki et al recently for bGO, 47 while no such information is available for aGO. Phonon mode properties evolve in a complex fashion from the binary parent compounds into the alloy system.…”

Section: Introductionmentioning

confidence: 99%

Infrared dielectric functions and Brillouin zone center phonons of $α$-Ga$_2$O$_3$ compared to $α$-Al$_2$O$_3$

Stokey,

Korlacki,

Hilfiker

et al. 2021

Preprint

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We determine the anisotropic dielectric functions of rhombohedral α-Ga2O3 by far-infrared and infrared generalized spectroscopic ellipsometry and derive all transverse optical and longitudinal optical phonon mode frequencies and broadening parameters. We also determine the high frequency and static dielectric constants. We perform density functional theory computations and determine the phonon dispersion for all branches in the Brillouin zone, and we derive all phonon mode parameters at the Brillouin zone center including Ramanactive, infrared-active, and silent modes. Excellent agreement is obtained between our experimental and computation results as well as among all previously reported partial information from experiment and theory. We also compute the same information for α-Al2O3, the binary parent compound for the emerging alloy of α-(AlxGa1−x)2O3, and use results from previous investigations [Schubert, Tiwald, and Herzinger, Phys. Rev. B 61, 8187 (2000)] to compare all properties among the two isostructural compounds. From both experimental and theoretical investigations we compute the frequency shifts of all modes between the two compounds. Additionally, we calculate overlap parameters between phonon mode eigenvectors and discuss the possible evolution of all phonon modes into the ternary alloy system and whether modes may form single mode or more complex mode behaviors.

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Strain and stress relationships for optical phonon modes in monoclinic crystals with β−Ga2O3 as an example

Cited by 15 publications

References 53 publications

Thermal stress analysis in die-attached β-Ga₂O₃ using Raman spectroscopy

Thermal stress analysis in die-attached β-Ga₂O₃ using Raman spectroscopy

Raman imaging in corrosion science: High‐temperature oxidation of the zirconium alloys used in the nuclear industry as an example

Infrared dielectric functions and Brillouin zone center phonons of $α$-Ga$_2$O$_3$ compared to $α$-Al$_2$O$_3$

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Strain and stress relationships for optical phonon modes in monoclinic crystals with β−Ga2O3 as an example

Cited by 15 publications

References 53 publications

Thermal stress analysis in die-attached β-Ga2O3 using Raman spectroscopy

Thermal stress analysis in die-attached β-Ga2O3 using Raman spectroscopy

Raman imaging in corrosion science: High‐temperature oxidation of the zirconium alloys used in the nuclear industry as an example

Infrared dielectric functions and Brillouin zone center phonons of $α$-Ga$_2$O$_3$ compared to $α$-Al$_2$O$_3$

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Product

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About

Thermal stress analysis in die-attached β-Ga₂O₃ using Raman spectroscopy

Thermal stress analysis in die-attached β-Ga₂O₃ using Raman spectroscopy