Adsorbing anthracene on a Cu(111) surface results in a wide range of complex and intriguing superstructures spanning a coverage range from 1 per 17 to 1 per 15 substrate atoms. In accompanying first-principles density-functional theory calculations we show the essential role of van der Waals interactions in estimating the variation in anthracene adsorption energy and height across the sample. We can thereby evaluate the compression of the anthracene film in terms of continuum elastic properties, which results in an effective Young’s modulus of 1.5 GPa and a Poisson ratio $\approx 0.1$. These values suggest interpretation of the molecular monolayer as a porous material—in marked congruence with our microscopic observations.

• Received 25 October 2010
• Publisher error corrected 23 November 2010

DOI:https://doi.org/10.1103/PhysRevB.82.201410