“…However, due to the sensitivity of electronic structures, to the surface state (e.g., defects or molecular adsorptions, particle size, dielectric environment, etc.) (Diebold, 2003; Yu et al, 2003; Stevanovic et al, 2012; Ronca et al, 2013; Amano et al, 2016; Macounová et al, 2017), a complete understanding of the electronic and optical properties of TiO 2 remains elusive, despite a number of experimental and theoretical studies that have been conducted. For example, the relative band edge positions between the rutile and anatase phases are still under debate (Li and Gray, 2007; Scanlon et al, 2013; Zhang et al, 2014; Nolan et al, 2016).…”