A theoretical treatment, based on a tensorial expansion of the scatter
ing matrix, is presented for collisional coupling between hyperfine an
d Stark components of molecular spectral lines. This treatment also de
scribes the dependence of collisional broadening of well-resolved comp
onents on F and M(F) quantum numbers. The case of molecules with a lar
ge dipole moment is discussed in detail and simple selection rules are
obtained for collisional coupling by using our treatment of the relax
ation matrix within a perturbative expansion of the scattering matrix.
The existing experimental results are explained.