[GuyFromSweden]

Hello!

I would love to get help on this particular question that I find extremely difficult to answer.

-"Bariumtitanate can under a certain set of conditions crystallize in the given structure. With the help of the compounds symmetries, explain how it is possible for it to achieve such a crystallization structure.

No equations are given for the specific problem so I am leaning towards that one has to use translation/reflection symmetries etc. to be able to solve this specific problem.

The given crystallized structure (transparent octahedron shape) can be seen in the picture.

[Enthalpy]

A good first step would be to write the correct chemical formula. At least two barium titanates are known, non with the formula you write.