Fig. 5: Analysis of the primary dendrite arm spacing.

a Primary dendrite arm spacing vs cooling rate. The dotted line is the linear fit, \({\lambda }_{1}=-0.26\dot{T}+19.60\), where λ1 is the primary dendrite arm spacing (μm) and \(\dot{T}\) is the cooling rate (K s−1). The R2 error for the fit is 0.81. Detail values and locations of samples are tabulated in Supplementary Table 7. b Comparison of measured primary dendrite arm spacing with analytical models. The solid line is the best fit to a model linear in \({G}^{-0.5}{V}_{s}^{-0.25}\) in Eq. (4), while the dashed line is the analytical model of Kurz and Fisher in Eq. (3). The R2 error for the linear fitting equation is 0.90. The R2 error for the Kurz and Fisher model is 0.47.