[en] The effect of the rotational temperature of the O₂ molecules on the glory structure in the total collision cross section has been observed for O₂--Ar and O₂--Kr systems. For O₂--Kr the effect has been well characterized by the comparison of the cross sections with those for Ar--Kr system. The cross sections with O₂ molecules at a rotational temperture of approx.900 K are close to the atom--atom results, while the cross sections with O₂ at low rotational temperature of 10--150 K show a modification of the glory structure due to the anisotropy of the interaction