Nuclear magnetic resonance (NMR) techniques for measuring one-dimensional a
bsorption spectra and too-dimensional exchange spectra of solids with extre
mely inhomogeneously broadened lines are discussed. Among various "broad-li
ne" solids, quasicrystals represent alloys of metallic elements, the struct
ures of which include "forbidden" symmetry elements. NMR absorption lines o
f quasicrystals exhibit a strong electric-quadrupole-induced inhomogeneous
broadening that originates from the lack of translational periodicity of th
e otherwise perfectly long-range-ordered quasiperiodic lattice. Recording a
n NMR spectrum of a quasicrystalline sample requires a magnetic field-sweep
technique. The two-dimensional exchange experiment on quasicrystals can be
performed on selectively excited portions of the NMR spectrum only. Due to
the off-resonance effects in a selective excitation. the use of a simple t
hree-pulse stimulated-echo exchange sequence is preferred. The Al-27 spectr
a of the Al-Pd-Mn and Al-Pd-Re families show interesting features like temp
erature-dependent frequency shifts and exchange effects due to atomic motio
n.