We have carried out comprehensive studies on the various types of hydrogen doping including, interstitial and substitutional (for oxygen) position (Hi, HO), HO + Hi, and oxygen vacancy plus interstitial hydrogen (VO + Hi) complexes using DFT + U calculations. The effect of Hi, HO, HO + Hi, and VO + Hi dopants on structural and electronic properties of Wurtzite ZnO at 0.020, 0.0625, and 0.125 nH/nZn concentrations, were studied. We found that cell parameters and volume of the supercells decrease in Hi, HO, and HO + Hi defects, whereas these values increase in the VO + Hi case. Bader analysis shows that H− ion locates at VO+2 in HO doping and it also places beside VO0 in VO + Hi. Furthermore, the HO + Hi complex is a H2 molecule that is almost neutral, electrically inactive and is trapped in VO+2. So, it seems that this complex is an appropriate model for formation of H2 molecule at high temperature. ZnO band gap is slightly influenced by Hi in all concentrations while, HO has prominent effect on increment of it which is consistent with experimental results too. In addition, it is shown that growth of H-doped sample under O-poor condition leads to improved optical properties which is applicable in transparent conductive oxide devices. It is predicted that band gap of hydrogen doped samples will decrease by annealing due to trapping of HO by Hi and formation of H2 molecule. Finally, hydrogen beside oxygen vacancy can create two deep levels, decreasing the optical band gap and shifting absorption edge to lower energy, which leads to a red shift and possible interest in photocatalytic applications.
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