Why crystal size is decreses and then increasing By increasing doping concentration?

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Sadeq H. Lafta

This is due to occupying tetra and octa sites during substitution (better than doping).

You can read my article at Journal of Magnetics

https://www.researchgate.net/publication/318054188_The_Relation_of_Crystallite_Size_and_Ni2_Content_to_Ferromagnetic_Resonance_Properties_of_Nano_Nickel_Ferrites

DOI: 10.4283/JMAG.2017.22.2.188

Axel Klein

You mean the size of the crystal lattice or the size of the crystals?

The size of the crystal lattice will change according to Vegards rule upon doping.

The size of crystals is rather serendipous, I would say.