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Epitaxial relations are often described by the mismatch of lattice parameters between the two materials. When the structures forming the epitaxial interface are dissimilar, the lattice mismatch is often less meaningful because of the different geometrical arrangement of atoms in the two structures. In a previous paper, it was shown that two rules of crystal chemistry, widely known as Pauling's rules, namely cation/anion coordination and charge balance, could be applied to understand the epitaxy of (0001) ZnO (wurtzite) on (111) MgAl 2 O 4  (spinel) substrates. It was then shown that the same rules could be applied to predict and confirm the epitaxy of (101) SiO 2  (cristobalite) on (0001) Al 2 O 3  (sapphire). Here, the same rules are applied to explain the epitaxy of four other dissimilar structures that have been previously published by others, including SrTiO 3  on Ni  c (2 × 2) S, TiO 2  (anatase) on LaAlO 3 , TiO 2  (rutile) on r-plane Al 2 O 3 , and Zr 1− x   (Y  x  )O 2  on (0001) Al 2 O 3 .

Crystal chemistry of interfaces formed between two different non-metallic, inorganic structures