A novel density modification method is applied for the first time to phase
reconstruction of x-ray single crystal data of quasicrystals. The structure
of icosahedral Zn-Mg-Ho quasicrystals has been determined by means of this
ab initio structure determination within a framework of a 6D description.
The location, size, and shape of the occupation domains are deduced. The su
ggested Ho sites in the 3D structure are consistent with the results of mag
netic diffuse scattering [T.J. Sate er al., Phys. Rev. Lett. 81, 2364 (1998