The Debye-Waller factors exp[-W] for the displacement-type incommensur
ate (IC) structures are calculated taking into account the correlation
of the phases of the modulation. It is shown that W similar to T-i(1/
2) /T-Ti/(-1/2) and the IC satellites would not be observed in small v
icinities of transitions. A model for the IC transition in quartz is d
iscussed from this point of view.