The quantum size effect in thin antimony films grown along (111) direc
tion on a GaSb substrate is studied based on a simple model. The criti
cal film thickness, at which the semimetal-semiconductor transition ta
kes place, is determined. It is proposed that the optical experiments
can be used to measure the critical thickness since the dependence of
optical transition on thickness in the semimetal region is very differ
ent from that in semiconductor region.