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I know that primitive cell is not unique and there are more than one way to define the primitive vectors but my question is when we said "primitive vectors" do we have to construct the Bravais lattice with choosing a proper basis first? My reasoning is suppose the crystal consist of different type of atoms such that the atoms might not be arranged in a way of translational invariance, it seems not making sense to define primitive cell in that case, is that correct? Please point it out if I am wrong, thanks.

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# Confusing on Bravais lattice and base vectors

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