▎ 摘　　要

Structural and electronic properties of the zinc oxide and the carbon were investigated using first-principle approaches. This work aims to follow the relative stability between wurtzite and graphitic structures of ZnO at a thickness of four layers. Our results prove that the graphitic structure becomes more stable. To validate our study in the passage between mono and multilayer in graphitic ZnO, we have conducting a parallel study on graphene and graphite. The ZnO structures are found to be semiconductor with a direct band gap. The energy band gap increase from wurtzite to graphitic structure by increasing the number of layers.