Semiconductor material including a semi-polar GaN layer, self-supporting or epitaxied on an exogenous substrate, the semiconductor material comprising a semi-polar GaN layer including coalesced III-nitride crystals and triangular cavities formed between the substrate and the III nitride crystals, wherein adjacent III-nitride crystals are overlapping, wherein said semiconductor material comprises, after coalescence of the overlapping III-nitride crystals, extended cavities in meeting planes between the III-nitride crystals, at an intersection between two adjacent III-nitride crystals, and in which each extended cavity situated above the triangular cavities extends in line with the overlapping areas between the III-nitride crystals.