“…This geometric effect can be controlled either in a stepwise manner, by using rare-earth elements with different ionic radius (from R=La 3+ to Pr 3+ , Eu 3+ , Gd 3+ , Tb 3+ , Dy 3+ , Ho 3+ , Yb 3+ and Lu 3+ ), or quasicontinuously, by tuning the average rare-earth radius in solid solutions in which the R 3+ ion is partially replaced by one isoelectric ion with different ionic radius, as in the case of the Eu 1-x Y x MnO 3 mixed system. [52][53][54][55] In the following we will analyze these two cases within the scope of the model presented above, as illustrative examples.…”