Monomer adsorption on equilateral triangular lattices with repulsive first-neighbor interactions.

Area of Science:

• Surface Science
• Statistical Mechanics
• Computational Physics

Background:

• Monomer adsorption is crucial for understanding surface phenomena.
• Previous models often simplified lattice structures or interaction potentials.

Purpose of the Study:

• To develop a model for monomer adsorption on finite-width triangular lattices.
• To determine occupational characteristics and energy phase diagrams.
• To explore adsorbate-adsorbate interactions.

Main Methods:

• Developed a model for monomer adsorption on M-width equilateral triangular lattices.
• Employed the matrix method and numerical algorithms.
• Analyzed first- and second-neighbor adsorbate interactions.

Main Results:

• Derived analytic expressions for occupational characteristics.
• Obtained the complete energy phase diagram for infinite surfaces.
• Identified ordered phases including (2x1), (2x2), (3x1), and (sqrt(3)xsqrt(3))R30°.

Conclusions:

• The model accurately predicts adsorption phases and their transitions.
• Comparison with experimental data provides bounds on interaction energies.
• Suggests experimental protocols for determining interaction energies.