Symmetry and Dimension of the Magnon Dispersion of Inorganic Spin-Peierls Systems

The data on the dispersion of the magnetic excitations of ${\mathrm{CuGeO}}_3$ in the spin-Peierls dimerized phase are analyzed. On the basis of the lattice structure it is shown that even along the chains the $d=2\mathrm{}$ character cannot be neglected. The symmetry of the dispersion differs from the one assumed so far. The magnetic resonance data are reinterpreted. The possibility of interchain rather than intrachain frustration is discussed.