We present calculations of the pressure tensor profile in the vicinity of t
he planar interface between isotropic liquid and nematic liquid crystal, us
ing Onsager's density functional theory and computer simulation. When the l
iquid crystal director is aligned parallel to the interface, the situation
of lowest free energy, there is a large tension on the nematic side of the
interface and a small compressive region on the isotropic side. By contrast
, for perpendicular alignment, the tension is on the isotropic side. There
is excellent agreement between theory and simulation both in the forms of t
he pressure tensor profiles, and the values of the surface tension.