The diffraction properties for the one-dimensional Fibonacci-class quasilattices

Using the projection and Fourier transform methods,we have derived the diff raction formulas and discussed the rules of diffraction peaks and systemati c absences for the one-dimensional Fibonacci-class quasilattices. Moreover, we have calculated and labeled the positions of the diffraction peaks of FC (1) and FC(3). In order to check our diffraction formulas,we extend the for mulas to the FC(n) quasiperiodic superlattices. Comparing the present diffr action results of the FC(1) superlattice with the experimental data,we have found that most of them agree with each other but one of the spectra is no t consistent. Particularily, we doubt that the peak (4,2) in the experiment should he a stronger peak.