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We consider a system of trimers and monomers on the triangular lattice, whichdescribes the adsorption problem on (111) $1 \times 1$ surface of diamondstructure. We give a mapping to a 3-state vertex model on the square lattice.We treat the problem by the transfer-matrix method combined with thedensity-matrix algorithm, to obtain thermodynamic quantities.

Trimer-Monomer Mixture Problem on (111) 1 x 1 Surface of Diamond Structure