In response to the comment by Wang and Qin, we have rewritten our equation (22) following the coordinate system of Dina, et al. [J. Wuhan Univ. (Nature Science Edition) 3, 23 (1992)]. According to the thermodynamic stability condition and the experiment of Capitan et al., we have chosen the new parameters of the phason elastic constants. Based on this, we have recalculated the coefficients of the expressions on the vibrational denty of states and the specific heat of the icosahedral Al-Nin-Pd quasicrystal. Our results are still in agreement with the experimental data measured by Walti et al. [Phys. Rev. B 57, 10 504 (1998)]. It demonstrates that our method is useful for dealing with the low-temperature vibrational excitation of icosahedral quasicrystals.
shanghai jiao tong univ, dept phys, shanghai 200240, peoples r china. s china univ technol, dept phys, guangzhou 510640, peoples r china. acad sinica, int ctr mat phys, shenyang 110015, peoples r china.;li, cl (reprint author), shanghai jiao tong univ, dept phys, shanghai 200240, peoples r china