Fig. 4: The validation of the doping effect in the model.
From: Quantitative prediction of optical static refractive index in complex oxides
a Verification of the doping effects in various material systems, including \({{\rm{Gd}}}_{2-x}{{\rm{Mn}}}_{x}{{\rm{O}}}_{3}(0\le x\le 0.6)\), \({{\rm{Ba}}}_{1-x}{{\rm{Sr}}}_{x}{\rm{Ti}}{{\rm{O}}}_{3}(0\le x\le 0.3)\),\({{{La}}_{1-x}{\rm{Sc}}}_{x}{\rm{Fe}}{{\rm{O}}}_{3}(0.025\le x\le 0.125)\) and \({{\rm{La}}}_{1-x}{{\rm{Ca}}}_{x}{Mn}{{\rm{O}}}_{3}(0.3\le x\le 1)\). b–e Investigation of the crystal volume \({V}_{c}\), bond length \({d}_{{\mu }^{{\prime} }}\), stoichiometric ratio \({m}_{{\mu }^{{\prime} }}\), \({n}_{{\mu }^{{\prime} }}\) and chemical bond ratio \({F}_{{\mu }^{{\prime} }}\) of Gd2−xMnxO3 (0 ≤ x ≤ 1) at different Mn-substitution. Solid scatter represents XRD experimental (exp.)36,37,38,39,40 results from XRD refinements. O, O’ and O” in (d) and (e) means three different positions of the O28e atom. f–i The model’s predicted optical static refractive indices for a range of material systems, including \({{\rm{Gd}}}_{2-x}{{\rm{Mn}}}_{x}{{\rm{O}}}_{3}\) (x = 0.03, 0.05, 0.1), \({{\rm{Ba}}}_{1-x}{{\rm{Sr}}}_{x}{\rm{Ti}}{{\rm{O}}}_{3}\) (x = 0, 0.2, 0.25, 0.3), \({{{La}}_{1-x}{\rm{Sc}}}_{x}{\rm{Fe}}{{\rm{O}}}_{3}\) (x = 0.05, 0.075, 0.1, 0.125), and \({{\rm{La}}}_{0.5}{{\rm{Ca}}}_{0.5}{Mn}{{\rm{O}}}_{3}\), were compared with various semi-empirical models and experimental data to evaluate their accuracy.
