Perimeter fractal dimension analysis of corrole islands on Au(111) at the solid-water interface

Corrole molecules deposited from aqueous solution on Au(111) arrange flat forming mesalike clusters (islands), as evidenced by in situ scanning tunneling microscopy (STM). A morphology quantitative assessment of the entire image is given by STM data analysis, evaluating the islands' fractal dimension as a whole. To this end, two methods are employed: the first exploits the power law that binds the perimeter and the area of all the islands; the second is simply a value of an appropriate average of the fractal dimensions of the islands. In fact the two methods return very close results.