[en] To study the physical properties of two-dimensional dodecagonal quasicrystals, the electric susceptibility, piezoelectric, elastic, photoelastic, Brillouin and Raman tensors for the point groups C₁₂, S₁₂, C_12h, C_12υ, D₁₂, D_12h are required. These tensors are tabulated here. (orig.)

[en] The method of tensor invariants is systematically summarized and generalized. With the help of the theorem of 'shadow' and the theorem of the number of independent bases, the whole family of isovariant orthogonal basis functions for pentagonal, icosahedral, octagonal, decagonal and dodecagonal point groups is obtained. On the basis of these results, the Hall-coefficient tensors for quasicrystalline point groups are identified and tabulated. The results of this group-theoretical study are briefly discussed and summarized. (orig.)