Figure 2. ΔE_g(D) functions of GaN nanoparticles and nanowires and E_g(x) functions of Al_xGa_1-xN nanowires with D = 15 nm where the curves denote the model predictions of Eqs. (7) and (12) while the symbols are the computer simulation results and the experimental data¹⁷,¹⁸,¹⁹,²⁰,²¹,²².

For AlN, E_g(∞) = 6.03 eV and h = a²/(6c)+c/4 ≈ 0.159 nm with a = 0.311 nm and c = 0.508 nm⁵⁴.