Collisions of He+- and Ne+-projectiles with He at impact energies between 90 keV and 800 keV were investigated. Relative excitation cross sections for magnetic sublevels of He—41D were determined using level-crossing techniques. Absolute excitation cross sections σm of the Zeeman-sublevels are given using He—41D cross sections from earlier measurements. The results show strong variations of the cross sections σ0 and σ±1 with a quasi-oscillatory behaviour. σ±2 is much smaller than σ0 and σ±1.