Acoustic surface waves in the quasicrystal ${\mathrm{Al}}_{63.5}$${\mathrm{Cu}}_{24.5}$${\mathrm{Fe}}_{12}$ have been studied by Brillouin spectroscopy. Both surface and bulk velocities of sound were determined. From these ${\mathit{c}}_{11}$ was found to be 2.3×${10}^{12}$ dyn/${\mathrm{cm}}^2$, and ${\mathit{c}}_{12}$ is 1.0×${10}^{12}$ dyn/${\mathrm{cm}}^2$. The attenuation of the Rayleigh wave was also measured.

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