Ma. Mittsev et al., MODIFIED QUASI-CHEMICAL APPROXIMATION IN THE LATTICE-GAS THEORY ALLOWING FOR THE INTERNAL PARTITION-FUNCTIONS OF ADATOM GROUPS IN AN ADSORBED LAYER, Surface science, 318(1-2), 1994, pp. 217-228
The quasi-chemical approximation of the lattice-gas theory is widely u
sed for description of adsorption-desorption processes. In its present
form, however, it is incapable of describing some experimental result
s: wide ranges of variation of the pre-exponential factor in the desor
ption-rate constant with changing coverage, the compensation effect, t
he shift of thermal desorption spectra toward lower temperatures with
increasing initial coverage for some systems with lateral attraction b
etween adatoms, etc. In the present paper a modification of the quasi-
chemical approximation is proposed, which, in the authors' opinion, si
gnificantly increases its capabilities of describing experimental resu
lts. This is achieved by including an entropy factor alpha(0), which r
eflects a change of the internal partition functions of adsorbed parti
cles by their interactions with nearest neighbors. This parameter is i
nterpreted as the ratio of the internal partition function of a dimer
to that of two isolated monomers on the surface. It always differs fro
m unity. The introduction of the parameter alpha(0) in the lattice-gas
theory leads to replacing the quantity eta = exp(-u/kT) by the quanti
ty eta(1) = alpha(0) exp(-u/kT) in all formulae of the theory, their a
nalytical form being unchanged. However, this involves cardinal change
s of the coverage dependence of the Arrhenius pre-exponential factor i
n the desorption rate constant, of the thermal desorption spectra beha
vior with varying the initial coverage, as well as of the critical tem
perature of the first-order phase transition.