We present results from magnetic-resonance measurements for 75-350 GHz
in alpha'-NaV2O5. The temperature dependence of the integrated intens
ity indicates that we observe transitions in the excited state. A quan
titative description gives resonances in the triplet state at high-sym
metry points of the excitation spectrum of this spin-Peierls compound.
This energy has the same temperature dependence as the spin-Peierls g
ap. Similarities and differences with another inorganic compound CuGeO
3 are discussed.