The rate for the exchange of symmetry species due to nuclear dipolar i
nteraction between the protons of two rotational tunnelling systems is
calculated taking the example of methyl groups. Its temperature depen
dence is related to the broadenings of the tunnelling lines and is cau
sed by the same phonons that determine the temperature dependence of t
he rotational tunnelling. Equivalent rotors show rapid exchange at low
est temperatures which decreases with increasing temperature while a n
on-monotonic temperature dependence is predicted for inequivalent roto
rs.