Say I have a none cubic Unit Cell with all its atomic positions defined fractionally (x, y, z defined as some fraction of the a, b, and c lattice vectors).

Effectively, viewed in this way the atoms are in a cubic vector space with orthonormal vectors for a, b, c.

If I define a plane in this space, and then remove atoms on the positive side of the plane (defined by its normal), will the "cut" made translate into the cartesian vector space defined by the true a, b, and c lattice vectors of the Unit Cell?

So far as I can tell it would, however I'm wondering if I'm missing any edge cases.

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