“…[5][6][7] Optical and electrical properties of the material are determined by intrinsic defects, such as aluminum and nitrogen vacancies (V Al , [8][9][10][11][12][13][14] V N 15,16 ), and extrinsic defects from unintentional background doping by silicon, oxygen, and carbon. These three impurities provide not only isolated substitutional defects (i.e., oxygen and carbon substituting nitrogen, and silicon substituting aluminum: O N, C N, Si Al ), [17][18][19][20][21][22] but are also assumed to form complexes, such as V Al -nSi Al , 23 V Al -nO N (n=1…4 is a number of Si or O atoms), 13,14,16,[23][24][25][26][27][28] C N -Si Al , 29 carbon pairs, 30 and tri-carbon complexes. 31 Usually, defects can have several allowed charge states in the bandgap, 32,33 including DXstates, [34][35][36][37][38] resulting in the polymorphism of defects properties.…”