Abstract

We present a study on the dependence of atomic mismatch between graphene sheets in graphite and the misorientation of the resulting superlattice domains. We demonstrate, through measurements of the atomic orientation of the top sheet and the angular misorientation between superlattice domains, that it is possible to compute the actual degree of atomic mismatch on the underlying graphene sheet. We show that the odd-even transition is evident for superlattices with relatively small periodicity in the range 1--2 nm and less apparent for those with larger periodicity in the range 5--8 nm, and present a signature of the transition. We also demonstrate that the degree of interlayer coupling between graphene sheets depends on the extent of rotational mismatch in relation to interlayer spacing as has previously been predicted.

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