The resistance is calculated for square antidot lattices in magnetic f
ields. Aharonov-Bohm type oscillation closely related to quantized ene
rgy levels associated with a periodic orbit encircling an antidot has
a maximum amplitude around d/a = 0.5-0.6 and almost disappears for d/a
similar to 0.7. For d/a similar to 0.8 another type of oscillation ap
pears, whose period corresponds exactly to the flux quantum per unit c
ell. A possible scenario explaining this peculiar behavior is discusse
d. (C) 1998 Elsevier Science Ltd. All rights reserved.