We examine thin films of two simple metals (aluminum and lithium) in the st
abilized jellium model, a modification of the regular jellium model in whic
h a constant potential is added inside the metal to stabilize the system fo
r a given background density. We investigate quantum-size effects on the su
rface energy and the work function. For a given film thickness we also eval
uate the density yielding energy stability, which is found to be slightly h
igher than the equilibrium density of the bulk system and to approach this
value in the limit of thick slabs. A comparison of our self-consistent calc
ulations with the predictions of the liquid-drop model shows the validity o
f this model.