In the solution of certain dislocation stress fields based on anisotropic elasticity, it is found that for −3>C>−4, whereCis an anisotropic factor of the crystal, the &sgr;xxfield of an edge dislocation is divided into six symmetric sectors of alternating tension and compression, in contrast to the usual case of half plane of tension and half plane of compression (C≥−3). The parameterCalso characterizes the &sgr;xyfield. ForC≥−2.5, there is a relative maximum on thexaxis as in the isotropic case. When −2.5>C>−4, the maximum changes to a relative minimum. The &sgr;yyfield is identical to &sgr;xyfield after a 90° rotation, and thus behaves similarly. Several consequences from these findings are discussed and examples are given.