The asymptotic solution of an interfacial corner between dissimilar crystals is expressed by the theory of anisotropic linear elasticity. However, it is not elucidated if the stress field obtained by the molecular analysis corresponds with the anisotropic linear elastic solution. We analyzed the stress fields around interfacial corners between dissimilar crystals using the molecular statics, and compared them with the asymptotic solutions. The stress intensity factor (SIF) is one of the basic fracture mechanics parameters, but there are few applications of the SIF to the fracture criteria of interfacial corners. We proposed a new definition of the SIFs of an interfacial corner between dissimilar anisotropic materials in our previous paper. In this study, the mixed mode fracture criteria of interfacial corners between dissimilar crystals modeled by the molecular statics were evaluated using the proposed SIFs.