The significant structure theory of quantum liquids such as hydrogen, deuterium, and helium has been applied to the physical adsorption occurring in the submonolayer region. The partition function for the twodimensional adsorbed fluid has been derived. The properties of isothermal and isosteric heat show good agreement with the available data from the literature.McAlpin and Pierotti (1, 2) applied the significant structure theory of liquids (3, 4) to a simplified system whose surface is a structureless uniform plane and in which physical adsorption occurs in the submonolayer region (5-7). According to their model, it is assumed that the adsorbed phase is a two-dimensional fluid adsorbed on a solid, energetically homogeneous, plane surface.In this paper, we extend the significant structure theory of f' is the partition function for the vibration normal to the surface and is exp(-hp1/2kT)/(l -e-hI/kT) fint is given as frot = 1/(