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One would thus be unable to subtract away the bulk energy from this slab using Eq (1) if They Are Not at the Center of the Slab, There Is No Clever Reconstruction of Slab Such That the Two Surfaces Can Exhibit Identical Terminations Without Being Inconsistent Eq.(1). if One Parses the Non-symmetric Slab into Two Portions -one above the Necessary Point-symmetry and One Below, Then Performs the Symmetry Operation to Generate A Slab with Identical Top and Bottom, the Number of Atoms in the Two New Slabs Will Not Necessarily Be An Integer Multiple of the Number of Atoms in the Bulk Unit Cell
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Even when the necessary symmetry elements exist for a given orientation, if they are not at the center of the slab, there is no clever reconstruction of slab such that the two surfaces can exhibit identical terminations without being inconsistent Eq. (1). If one parses the non-symmetric slab into two portions -one above the necessary point-symmetry and one below, then performs the symmetry operation to generate a slab with identical top and bottom, the number of atoms in the two new slabs will not necessarily be an integer multiple of the number of atoms in the bulk unit cell. One would thus be unable to subtract away the bulk energy from this slab using Eq. (1).
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Even When the Necessary Symmetry Elements Exist for A Given Orientation
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