Determination of the Elastic Constants of Xenon Single Crystals by Brillouin Scattering

Gornall, W. S.; Stoicheff, B. P.

doi:10.1103/physrevb.4.4518

Cited by 75 publications

(19 citation statements)

References 40 publications

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“…Solid Ne has a large value of A = 4.9 at 5 GPa and shows a rapid decrease to 3.6 at 7 GPa. Gornall and Stoicheff [6] determined the elastic constants and elastic anisotropy of solid Xe by Brillouin scattering at 156 K: C 11 = 2.98, C 12 = 1.90, C 44 = 1.48 GPa, and A = 2.76. Their result for A is in good agreement with the present value (A = 2.88 at 0.53 GPa).…”

Section: Resultsmentioning

confidence: 99%

“…Their result for A is in good agreement with the present value (A = 2.88 at 0.53 GPa). With respect to the C 11 , C 12 , and C 44 , we cannot directly compare the elastic properties under low temperature [6,13] with the present ones, because the elastic constants for rare-gas solids strongly depend on the pressure and temperature.…”

Section: Resultsmentioning

confidence: 99%

“…Therefore, we should consider the appropriate elastic function in the fcc system corresponding to C 44 * . If the acoustic phonon propagates along the axis perpendicular to the stacking plane of fcc or hcp crystals, the TA modes degenerate, and the ρV 2 for these TA modes are expressed as follows: [32] ρV 2 = (C 11 − C 12 + C 44 )/3 (fcc) (6) and…”

Section: Frequency / Ghzmentioning

confidence: 99%

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High‐pressure Brillouin study of the elastic properties of rare‐gas solid xenon at pressures up to 45 GPa

Sasaki

Wada

Kume

et al. 2008

J Raman Spectroscopy

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The pressure dependences of three adiabatic elastic constants, adiabatic bulk modulus, refractive index, and elastic anisotropy, as well as Cauchy deviation of fcc solid Xe have been determined up to 10 GPa at 296 K by high-pressure Brillouin scattering spectroscopy. The characteristics of elastic properties at high pressure of rare-gas solid Xe are investigated by comparison with the previous studies on Ne, Ar, and Kr. Above 10 GPa, the occurrence of splitting in the Brillouin signals and the direction dependence of acoustic velocities for solid Xe clearly show partial phase transformation to the hcp structure reported by the previous X-ray diffraction and Raman scattering studies. The shear elastic modulus in the hcp phase of solid Xe has also been estimated at pressures up to 45 GPa by using the pressure dependence of the Raman wavenumber shift for the E 2g mode.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Frequency / Ghzmentioning

confidence: 99%

See 1 more Smart Citation

High‐pressure Brillouin study of the elastic properties of rare‐gas solid xenon at pressures up to 45 GPa

Sasaki

Wada

Kume

et al. 2008

J Raman Spectroscopy

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“…In table 4 we report the calculated values for the ratios P4JPlx and P12/Pll both from this work and from the other theories together with the experimental values [5][6][7][8]. In the case of krypton, for which absolute values of P11, P12 and P44 are available [9], we make the comparison directly with these quantities.…”

Section: Comparison Of the Results With The Experimental Datamentioning

confidence: 93%

“…The basic self-consistent equation for the effective polarizability tensor (see (8)) is dependent on the sample shape through the second term on the right hand side of (8), and the solution seems to be extensive in character. To avoid this difficulty we deal with an expression derived from (8) where the full dependence on the boundary conditions at the surfaces is used to renormalize the driving field in the bulk [14]. It has already been shown [14] that the same procedure, if applied to the dielectric constant problem, leads to the Lorenz-Lorentz relation [15].…”

Section: Introductionmentioning

confidence: 99%

Evaluation of brillouin scattering intensities from rare gas crystals

Mazzacurati

Ruocco

1987

Molecular Physics

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A pure dipole induced dipole (DID) theory, which properly takes into account long range contributions to the effective atomic polarizability renormalization, is developed to evaluate the Brillouin scattering intensities for rare gas crystals (RGC). The DID effect is considered at all the orders by rigorously solving the self consistent equation for the effective atomic polarizability. To evaluate the contribution of distant atoms, which is significant in a cubic structure, the dipole propagator and the driving field phase factor have been both used without short-range approximations. The results obtained for the elastooptic coefficients are discussed in relation to other theoretical predictions. A comparison is made with the experimental data of Stoicheff and coworkers, directly calculating the measured quantities in all the reported scattering configurations. We conclude that pure DID effects will reproduce the experimental results in the case of neon and argon, while the discrepancies increase for krypton and xenon. This suggests that the overlap contributions to the atomic polarizability fluctuations, which has been already included in previous theories, cannot be neglected in heavy rare gas crystals.

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One‐Particle Distribution Functions and Thermodynamics of Crystals with Many‐Body Forces. II. Quantum Corrections

Zubov

1975

Annalen der Physik

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Crystalline state is described by non-symmetrical distribution functions in a self-consistent field approximation. The first quentum corrections to the HEZMEOLTZ free energy and thermodynamic propertiea of stron ly anharmonic crystals with many-body interactions are calculated in the quasi-classical case. #he propertiea of c stalline inert gasea are computed using the pair tentiale of LENNARD-JONES, of BARKEFC and%mPE. of BAEKEB and BOBETIC, and of BAEEER, KSHBB and WATTS, together with the AXILROD-TELLER-MUTO three-body for-. The reaults are compared with both the experimental data and Monte Carlo calculations.

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Determination of the Elastic Constants of Xenon Single Crystals by Brillouin Scattering

Cited by 75 publications

References 40 publications

High‐pressure Brillouin study of the elastic properties of rare‐gas solid xenon at pressures up to 45 GPa

High‐pressure Brillouin study of the elastic properties of rare‐gas solid xenon at pressures up to 45 GPa

Evaluation of brillouin scattering intensities from rare gas crystals

One‐Particle Distribution Functions and Thermodynamics of Crystals with Many‐Body Forces. II. Quantum Corrections

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