Validating the model of a (3+1)-dimensional incommensurately modulated structure as generator of a family of compounds for the Eu2(MoO4)3 scheelite structure

The previously proposed model postulating that the incommensurately modulated KNd(MoO$_4$)$_2$ structure can act as a generator of the scheelite family members is validated here by refining the crystal structure of europium molybdate, Eu$_2$(MoO$_4$)$_3$. The initial structural model was derived from the superspace characteristics of KNd(MoO$_4$)$_2$ and the predicted parameters used in the simulation of Eu$_2$(WO$_4$)$_3$. The refinement was performed using both superspace and traditional supercell approaches in superspace group $I2/b(\alpha\beta 0)00 and space group A2/a, respectively. The results obtained by both approaches are in excellent agreement and coincide with those reported in the literature.