2018
DOI: 10.1103/physrevmaterials.2.045604
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Multiple rare-earth ion environments in amorphous(Gd2O3)0.230(

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“…The coefficients C 1 , C 2 , and C 3 were calculated by maximizing the Pearson correlation coefficients between ΔG sim ( r ) light – dark and ΔG exp ( r ) light – dark using the generalized reduced gradient method of Microsoft Excel Solver over a low- r region (region 1 in Table ), which describes the bond lengths most closely associated with the SO 2 ligand. Pearson correlation coefficients, ρ, are statistical measures that have previously been used to quantify the agreement between difference pair distribution functions. ρ can range between −1 and 1 with the former signifying a perfectly negative correlation and the latter a perfectly positive correlation. A coefficient of 0 signifies no correlation at all .…”
Section: Methodsmentioning
confidence: 99%
“…The coefficients C 1 , C 2 , and C 3 were calculated by maximizing the Pearson correlation coefficients between ΔG sim ( r ) light – dark and ΔG exp ( r ) light – dark using the generalized reduced gradient method of Microsoft Excel Solver over a low- r region (region 1 in Table ), which describes the bond lengths most closely associated with the SO 2 ligand. Pearson correlation coefficients, ρ, are statistical measures that have previously been used to quantify the agreement between difference pair distribution functions. ρ can range between −1 and 1 with the former signifying a perfectly negative correlation and the latter a perfectly positive correlation. A coefficient of 0 signifies no correlation at all .…”
Section: Methodsmentioning
confidence: 99%