The layer longitudinal magnetizations, their average, and both the longitud
inal and the transverse susceptibilities of a diluted transverse spin-1/2 I
sing film are studied within the framework of the effective field theory. T
he results show that the surface layer longitudinal magnetization can be sm
aller or larger than the internal layer longitudinal magnetization, dependi
ng on the values of the ratio of the surface exchange interactions to the b
ulk ones R = J(s)/J, the concentration c of the magnetic atoms and the temp
erature T/J. It is also shown that the longitudinal susceptibility diverges
at the critical temperature T-c/J while the transverse susceptibility disp
lays a cusp at the critical temperature. (C) 1999 Published by Elsevier Sci
ence B.V. All rights reserved.