Isotropic elasticity of the Al-Cu-Li quasicrystal

Reynolds, Gillian A. M.; Golding, B.; Kortan, A. R.; Parsey, J. M.

doi:10.1103/physrevb.41.1194

Cited by 47 publications

(20 citation statements)

References 9 publications

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“…Several elastic modulus studies have been performed on the Al-based quasicrystals. These experiments showed, [3][4][5][6] with increasing precision, that the icosahedral phase quasicrystals exhibit the theoretically expected 7 elastic isotropy. A more recent experiment 8 showed that the decagonal Al-Ni-Co quasicrystal is, as expected, transversely elastically isotropic.…”

Section: Introductionmentioning

confidence: 92%

“…These saw-cut pieces were then polished into rectangular parallelepipeds for the ultrasonic measurements with room temperature dimensions of 1.321ϫ1.100ϫ1.644 mm 3 for the i-phase material and 2.197ϫ1.318ϫ1.621 mm 3 for the W-phase material. The room-temperature densities, determined by immersion weighing in toulene, were found to be 6.081Ϯ0.008 g/cm 3 for the i-phase material and 6.066Ϯ0.01 g/cm 3 for the W-phase material. The elastic constant measurements were made using the technique of resonant ultrasound spectroscopy ͑RUS͒.…”

Section: Samples and Experimental Detailsmentioning

confidence: 99%

See 1 more Smart Citation

Elastic moduli of a Ti-Zr-Ni icosahedral quasicrystal and a 1/1 bcc crystal approximant

Foster¹,

Leisure²,

Shaklee³

et al. 1999

Phys. Rev. B

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Resonant ultrasound spectroscopy has been used for the measurement of the elastic moduli of a Ti-based quasicrystal, one of the major classes of quasicrystals. Both the bulk and shear elastic moduli of a Ti-Zr-Ni multigrained icosahedral quasicrystal and a polycrystalline 1/1 approximant were measured over the temperature range of 15-300 K. The elastic moduli of these two materials are very nearly the same, a result in agreement with the belief that the structures of these two materials are closely related. The temperature dependence of the moduli resembles that of ordinary metals. The results have been used to predict the acoustic contribution to the low-temperature specific heat. This contribution is much larger in these Ti-based materials than for the Al-based quasicrystals reported by others. Besides their general interest, the elastic moduli are useful for constructing atomic potentials in these unusual materials. ͓S0163-1829͑99͒09517-X͔

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Section: Introductionmentioning

confidence: 92%

Section: Samples and Experimental Detailsmentioning

confidence: 99%

Elastic moduli of a Ti-Zr-Ni icosahedral quasicrystal and a 1/1 bcc crystal approximant

Foster¹,

Leisure²,

Shaklee³

et al. 1999

Phys. Rev. B

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“…Due to the small difference in composition between the approximant and the quasicrystalline phase, we also take this value for the quasicrystal. The absolute acoustic velocities in the icosahedral phase 20 are v l ϭ6400 m s Ϫ1 and v t ϭ3800 m s Ϫ1 . In the cubic-phase R-AlLiCu we have measured v l ϭ6600 m s Ϫ1 and v t ϭ4090 m s Ϫ1 .…”

Section: ͑3͒mentioning

confidence: 99%

Tunneling states in Al-Li-Cu quasicrystals

Bert

Bellessa

2001

Phys. Rev. B

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We report on measurements of the velocity of sound at low temperature in three samples of the alloy Al-Li-Cu: a single crystal of the cubic approximant phase R and two samples of the imperfect icosahedral phase T2, one of them after annealing to improve its structural quality. All samples exhibit glasslike properties. We analyze our results within the tunneling state model and show that the tunneling strength increases with the degree of the quasicrystalline order in the sample.

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“…Then, icosahedral quasicrystals are expected to behave as an isotropic elastic body because they have only two independent second-order phonon elastic constants. Actually, isotropic elasticity has been observed experimentally for icosahedral Al-Li-Cu [9][10][11], Al-Pd-Mn [12] *Corresponding author. Email: edagawa@iis.u-tokyo.ac.jp , ð1Þ…”

Section: Introductionmentioning

confidence: 99%

“…In many works done so far on the elasticity of icosahedral quasicrystals, a different set of elastic constants have been used [27]: and (Lame constants) for pure (1) onto E k and E ? ; (b) the same vectors in a different coordinate system resulting from the rotations defined in equation (9).…”

Section: Introductionmentioning

confidence: 99%

Experimental evaluation of phonon–phason coupling in icosahedral quasicrystals

Edagawa

2007

Philosophical Magazine

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By measuring phonon strain introduced in crystal approximants, the sign and magnitude of the phonon-phason coupling constant have been evaluated for icosahedral quasicrystals of Mg-Ga-Al-Zn and Al-Cu-Fe systems. The evaluated coupling constants are approximately À0.04 and 0.004 ( ¼ shear modulus) for the former and the latter, respectively. They are in good agreement with the results of a previously reported theoretical calculation. Possible effects of phonon-phason coupling on the onset of phasonic elastic instability in icosahedral quasicrystals are discussed.

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Isotropic elasticity of the Al-Cu-Li quasicrystal

Cited by 47 publications

References 9 publications

Elastic moduli of a Ti-Zr-Ni icosahedral quasicrystal and a 1/1 bcc crystal approximant

Elastic moduli of a Ti-Zr-Ni icosahedral quasicrystal and a 1/1 bcc crystal approximant

Tunneling states in Al-Li-Cu quasicrystals

Experimental evaluation of phonon–phason coupling in icosahedral quasicrystals

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