SPIN-WAVE SPECTRUM AND EXCHANGE INTERACTIONS IN THE ANTIFERROMAGNETIC GARNET CA3CR2GE3O12 BY INELASTIC NEUTRON-SCATTERING

We have measured the spin wave spectrum for the garnet Ca3Cr2Ge3O12 by means of inelastic neutron scattering. The data can be well described in the framework of linear spin wave theory if we assume a Heisenberg model with two exchange parameters up to the next nearest neighbours (〈J1〉 and J2) and a staggered anisotropy field (A). A least squares fit to the observed dispersion relations yield the following values for these parameters: 〈J1〉=-0.582(8)K, J2=0.416(4)K, A=0.25(8)K. Although symmetry requires that two nearest neighbour exchange constants J1 and J1' must be distinguished, only the average 〈J1〉=(J1+3 J1')/4 and the condition -0.35 K <δJ1=J1-J1'<0.50 K could be deduced from the experiment. The most striking result is the positive value of J2. We discuss the implications for an understanding of superexchange mediated by more than one oxygen atom. In an extension of the conventional analysis we have calculated the integrated intensities in order to check the eigenvectors directly. Good agreement between observed and calculated intensities was obtained. © 1990 Springer-Verlag.