Suppose that we have a crystal material with a non-cubic unit cell. E.g. $\alpha \neq \beta \neq \gamma \neq 90^{\circ}$. Is it possible to find a supercell such that $\alpha = \beta = \gamma = 90^{\circ}$?

If no, can you explain why is not possible?

  • 2
    $\begingroup$ It is a symmetry issue: you cannot fill the space with atoms (you cannot reproduce all the geometry operations in both). $\endgroup$
    – Camps
    Aug 2 at 14:37
  • $\begingroup$ Some are possible, some are not, depending on the crystal structure. $\endgroup$
    – Shaun Han
    Aug 2 at 16:40


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