Fig. 4: Reported room-temperature (~ 25 °C) NASICON conductivities as a function of compositional variables.

a Three-dimensional scatter plot of the reported NASICON conductivities as a function of Na content (x), average M site radius (\({\bar{r}}_{M}\)), and average A site radius (\({\bar{r}}_{A}\)). The ionic conductivity (on a log scale) of each NASICON is represented by the color bar. b Projection of data points between \({\bar{r}}_{M}\) = 0.70 Å and \({\bar{r}}_{M}\) = 0.74 Å in a on the Na content \(\times {\bar{r}}_{A}\) plane. c Projection of the data points between x = 2.5 and x = 3.5 in a on the \({\bar{r}}_{M}\times {\bar{r}}_{A}\) plane. The as-synthesized NASICONs in this work are represented by triangles: 1: Na3HfMg(PO4)3, 2: Na3ScIn(PO4)3, 3: Na3ScY(PO4)3, 4: Na3Hf1.5Mg0.5(SiO4)(PO4)2, 5: Na3Zr1.5Mg0.5(SiO4)(PO4)2, 6: Na3HfSc(SiO4)(PO4)2, 7: Na3Hf1.5Ca0.5(SiO4)(PO4)2, 8: Na3HfZr(SiO4)2(PO4), 9: Na3.4Hf0.6Sc0.4ZrSi2PO12.