Vibrational spectra of monolayer islands on single crystal faces. Island size and shape effects on infrared frequencies,intensities and bandwidths

A method for theoretical analysis spectra of rectangular segments (islands) of two-dimensional ordered overlayers of adsorbed species has been proposed. The simple formulae for frequencies, absorption coefficients and bandwidths as functions of island size and shape have been deduced. If frequencies and bandwidths of appropriate bands in infrared spectra of chemisorbed monolayers are measured simultaneously, the size and shape of the islands can be estimated.