Evaluation of phason elastic constants from HRTEM image of a dislocation in icosahedral quasicrystal

Abstract

Abstract. A method is proposed for quantitative evaluation of the ratio of the two phason elastic constants K 2 /K 1 in icosahedral quasicrystals from a high-resolution transmission electron microscopy (HRTEM) image of a dislocation. Here, the Hytch's method originally proposed for quantitative evaluation of displacement fields in crystals is generalized to quasicrystals. The generalized Hytch's method gives phason displacement fields around a dislocation in icosahedral quasicrystals, from which K 2 /K 1 can be evaluated. This method is demonstrated using a simulated HRTEM image of a dislocation in an icosahedral quasicrystal.