  In this letter we investigate the pulsational properties of ZZ Ceti stars on
the basis of new white dwarf evolutionary models calculated in a
self-consistent way with the predictions of time dependent element diffusion
and nuclear burning. In addition, full account is taken of the evolutionary
stages prior to the white dwarf formation. Emphasis is placed on the trapping
properties of such models. By means of adiabatic, non-radial pulsation
calculations, we find, as a result of time dependent diffusion, a much weaker
mode trapping effect, particularly for the high-period regime of the pulsation
g-spectrum. This result is valid at least for models with massive hydrogen-rich
envelopes. Thus, mode trapping would not be an effective mechanism to explain
the fact that all the high periods expected from standard models of stratified
white dwarfs are not observed in the ZZ Ceti stars.
