1 Erratum to: METALLURGICAL AND MATERIALS TRANSACTIONS A DOI: 10.1007/s11661-015-2967-4

The authors regret that numerical errors were identified in Figures 10(a, right graph) and (b, right graph) and 12. In the calculation of the growth rate of the Al-3.0 wt pct Ni alloy, a mistake has been found. The corrected figures and their respective legends are reproduced below. The error does not change the main discussions and conclusions of the work. In addition, a sentence containing the discussion associated with Figure 12 has been rewritten as follows.

Fig. 10
figure 10

Correlations between dendrite arm spacings and solidification thermal parameters: (a) λ 1 evolution as a function of tip cooling rate and tip growth rate and (b) λ 2 evolution as a function of tip cooling rate and tip growth rate; and (c) evolution of the tertiary dendritic spacing, λ 3, for the ternary Al-3.0 wt pct Mg-1.0 wt pct Si alloy as a function of tip cooling rate and tip growth rate

Fig. 12
figure 12

Comparison of experimental and theoretical λ 2 as a function of V L for the Al-3.0 wt pct Mg alloy

As can be observed in Figure 12, the BK model roughly matches the experimental tendency of evolution of the secondary dendrite arm spacing with the growth rate.