The dielectric constant of the crystal is pure property of its crystal structure and composition and therefore it shouldn't be influenced by the properties of the solution from which it grows. That is if we consider pure ideal crystals.

Now, If changing the solution conditions influences the crystal composition or structure, introduces the impurities in the crystal structure, or in worst case you get a different kind of crystal than what you expected, in that case it is possible that changing the solution conditions (i.e.) dielectric constant, influences the dielectric constant.

I would say that this depends on the method of variation of dielectric properties of the solution. How do you change the dielectric constant of the solution?

Thanks for the response. I added varying amounts of water to the solution, which then changed the crystals that came out. They started to become flatter and flaky instead of highly crystalline.

Various amounts of water generaly changes the pH of the solution which in turn changes the morphology and influences the growth of crystals. In our group we usually use the high pressure autoclaving method for fast crystal sythesis, with varying amount of precursors in preparation of our solutions. You can see the influence on the morphology of thee produced crytslas from the SEM images in the attached publications.

Article The synthesis and microstructure of goethite particles preci...