Electrochimica Acta, Vol.55, No.2, 340-349, 2009
Scaling effects upon fractal etch pattern formation on silicon photoelectrodes
Fractal etch structures on n-type silicon photoelectrodes were obtained under anodic bias in concentrated ammonium fluoride solution. The propagating branches of the structures generally reflect the surface lattice geometry of the substrates on a micrometer-scale while inner topographies are characterized by ensembles of slow-etching planes. In a medium and high photon flux range, scaling effects on Si(100) were observed for gradually increased light intensities: while the number of structures increases, the structure size reduces to the sub-micrometer range. Simultaneously, the thickness of integrally measured anodic oxides, analyzed by X-ray photoelectron spectroscopy, was found to decrease. These observations are addressed in model considerations where multi-axial stress at the SiO2/Si interface is assumed to provide the feedback mechanism of the dynamic system and to result in locally increased substrate dissolution. A simplified flow-diagram for computer simulations, in agreement with numerical in-plane stress analysis, was finally developed which allows for prediction of the propagation process on arbitrary lattice geometries and for varied experimental conditions. (C) 2009 Elsevier Ltd. All rights reserved.
Keywords:Silicon;Photoelectrochemistry;Photoelectron spectroscopy;Self-organization;Fractal structures