The present invention relates to overlay marks and methods for determining
overlay error. One aspect of the present invention relates to a
continuously varying offset mark. The continuously varying offset mark is
a single mark that includes over laid periodic structures, which have
offsets that vary as a function of position. By way of example, the
periodic structures may correspond to gratings with different values of a
grating characteristic such as pitch. Another aspect of the present
invention relates to methods for determining overlay error from the
continuously varying offset mark. The method generally includes
determining the center of symmetry of the continuously varying offset
mark and comparing it to the geometric center of the mark. If there is
zero overlay, the center of symmetry tends to coincide with the geometric
center of the mark. If overlay is non zero (e.g., misalignment between
two layers), the center of symmetry is displaced from the geometric
center of the mark. The displacement in conjunction with the preset gain
of the continuously varying offset mark is used to calculate the overlay
error.