The short range order of incommensurate structures of Li adsorbed on C
u(100) is discussed. According to the LEED measurements, the Li atoms
form linear incommensurate chains pretty well ordered in the missing r
ows induced by the Li adsorption and the short range order between the
Li atom chains is weaker. A one-dimensional classical XY-model is pro
posed for this system where the pretty well ordered linear chain is re
presented by a spin and the nearest neighbor spins couple. This model
can be easily solved and the results are in satisfactory agreement wit
h the experimental ones.