The alkaline-earth sulphides MgS, CaS, SrS, and BaS naturally occur in
the rocksalt (B1) structure. Under pressure they undergo a structural
phase transformation to the cesiumchloride (B2) structure. Ab-initio
local density nonlocal pseudopotential calculations of the total energ
y of the first three compounds are performed in the B1, B2, and in the
zincblende (B3) structure. It is found that the B1 structure is stabl
e at normal conditions while the B3 structure is unstable under all co
nditions. The B1 to B2 phase transformation occurs at, respectively, 2
30.7, 49.8, and 20.9 GPa. Recent experimental estimates of these trans
ition pressures are 44 and 37.1 GPa for CaS. The calculated lattice co
nstants, bulk moduli, and their pressure derivatives agree well with t
he experimental values.