Self-consistent-field theory is used to reproduce the behavior of polymer surface tension with molecularweight for both lower and higher molecular-weight polymers. The change in behavior of the surface tension between these two regimes is shown to be due to the almost total exclusion of polymer from the nonpolymer bulk phase. The predicted two regime surface tension behavior with molecular-weight and the exclusion explanation are shown to be valid for a range of different polymer compressibilities. In this paper, we show that many approximations made in previous works [3][4][5][6] are unnecessary as the polymer surface tension can be calculated using full numerical selfconsistent-field theory (SCFT) with no approximations be yond the mean field. SCFT is an appropriate method to use to study polymer surface tension because although SCFT is a coarse-grained theory, it is microscopic in the sense that it includes all polymer configurational degrees of freedom, un like phenomenological density gradient theory, for example, [7][8][9]. Jones and Richards [10] point out that presently poly mer surface tension MW dependence is "explained" in terms of a mix of phenomenological density gradient theory for higher MW and an empirical formula for lower MW. This is a wholly unsatisfactory situation. We will show that SCFT spontaneously reproduces the expected experimental two re gime behavior of polymer surface tension, and allows us to explain why there is a change of behavior between low and high MW polymer surface tensions. Since an understanding of MW dependence of surface tension is an important ingre dient for the advancement of many industrial processes, these SCFT results represent an important step beyond pre vious theories.The SCFT formalism for polymer surface tension has been described by us in a previous presentation [11] where it was successfully used to predict qualitative surface tension trends as a function of temperature and pressure for a single polymer MW. There we used a parameter a = 0.1; a is the ratio of the volume of a solvent molecule to the volume of a polymer molecule. It is inversely proportional to the polymer MW. In the present work, we lower the value of a (increase the polymer MW) to investigate the behavior of surface ten sion as a function of MW. The free energy for a compressible polymer-solvent system iswhere ' s (r), ' p (r), and ' h (r) are the local volume fractions of solvent, polymer, and "holes," respectively, and w s (r), w p (r), and w h (r) are conjugate chemical potential fields. The function i(r) is a pressure field that enforces a constant total density, including the holes. Compressible systems with in homogeneous total densities are thus modeled in this incom pressible formalism through the presence or absence of va cancies (holes). This is a method introduced by Hong and Noolandi that reduces to the Sanchez-Lacombe equation of state in the limit of a homogeneous system [12]. Other equa tions of state can also be chosen within the SCFT formalism [13]. Q s and Q p are the part...