The adsorption process is simulated in a finite unit
cell using periodic boundary conditions within the 
point approximation (see below).
As a result, only the wavelengths corresponding to integer fractions of the unit
cell extent are admitted in the solutions. In principle, by using larger and larger
unit cells, the error could be decreased at will. In practice, for any useful unit
cell size, the 
point approximation is a severe one. This approach, however,
cancels most of the error by the counterpoise correction: The ration is calculated as
partition functions of the same box, which is first subject to the host potential
and then potential free partition functions of H2. In both cases, the box has the same geometry and implies
the same nodal behaviour to the adsorbed and free wave functions.
Lyuben Zhechkov
2007-09-04