In this work, we use a previously improved technique for constructing a coincident site lattice for crystals with a perovskite structure. A method has been developed for finding atomic arrangements of various elements in grain boundaries based on a specially developed algebra. Possible compositions of chemical elements for different grain boundaries, charge states of mating planes at the grain boundary, depending on its orientation, are pointed out.
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Darinskiy et al. (2020) studied this question.
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