The one-dimensional collisionless sheath model of electropositive plasmas i
s extended here to study the sheath structure of an electronegative plasma
at steady state with the assumptions of cold positive ions and planar sheat
h configurations, Similar to the electropositive plasma sheath, a net charg
e layer is built within the sheath. However, the net charge density distrib
ution within the sheath is sensitive to the plasma electronegativity (ratio
of negative ion density n(-b) to the electron density n(eb)), It is most i
nteresting that the sheath thickness varies nonmonotonically with the plasm
a electronegativity of the bulk plasma. Last, the effects of applied wall p
otential and temperature ratio of electrons to negative ions are discussed.