Dynamics of long-wavelength phason fluctuations in the i-Al–Pd–Mn quasicrystal

Abstract

We report on the dynamics of phason modes in the i-Al–Pd–Mn icosahedral quasicrystal, measured between room temperature and 650°C, using the X-ray intensity fluctuation spectroscopy (XIFS) technique. Up to 500°C, the autocorrelation function, ℑ(q, t), displays almost no time evolution as expected for frozen-in phason fluctuations at low temperature. At higher temperatures, ℑ(q, t) follows a single exponential time decay from which the characteristic time τ _c(q) is extracted. These results are compared to the expected shape of ℑ(q, t) as derived from the expressions of the eigenvalues and eigenvectors of the C _{⊥ ⊥}(q) phason dynamical matrix. In agreement with the hydrodynamic theory of quasicrystals, which predicts phasons with diffusive character, we find that τ _c(q) varies linearly with q ⁻² at 650°C. The corresponding diffusion coefficient is 2.2(±0.5) × 10⁻¹⁸ m² s⁻¹ and the activation energy is estimated around 2.3(±1) eV.

Notes

†The value of differs numerically by a factor 8π ² from the value reported in a previous paper 8.