A method for capillary self-assembly of a plate and a carrier, including: forming an etching mask on a region of a substrate; reactive-ion etching the substrate, the etching using a series of cycles each including isotropic etching followed by surface passivation, wherein a duration of the isotropic etching for each cycle increases from one cycle to another, a ratio between durations of the passivation and etching of each cycle is lower than a ratio for carrying out a vertical anisotropic etching to form a carrier having an upper surface defined by the region and side walls defining an acute angle with the upper surface; removing the etching mask; placing a droplet on the upper surface of the carrier; and placing the plate on the droplet.