Abstract
The two-dimensional structures of adsorbed argon layers have been described by a modified cell theory with the cell-size variations evaluated by a self-consistent condition. The calculated lattice parameters and the atomic-vibration amplitudes at various temperatures are in satisfactory agreement with neutron scattering data of argon adsorbed on Grafoil substrate. The liquid phase and the melting transition may be absent in the two-dimensional systems. The calculation also indicates a transition between commensurate and incommensurate lattices for argon on Grafoil near 50°K, in agreement with experimental observations.