“…where = θ D k/h is the optical phonon frequency (generally ν o ≈ 10 13 s -1 ) [23], h is the Planck's constant, C is the fraction of reduced transition metal ion, α is the tunneling factor (the ratio of wave function decay) and this value is taken from the literature quoted for transition metal ions doped glasses (α = 20 nm -1 ) [23], W H is the hopping energy and W D is the disorder energy defined as the difference of electronic energy between two hopping sites [24]. A typical value of W D calculated from Mott-Austin Theory is ≤ 0.1 eV [25].…”