The structure of dislocation in a two-dimensional triangular crystal was studied theoretically on the basis of atomic interaction and lattice statics. The theory presented here was an improvement to that published previously. Within a reasonable interaction approximation, a new dislocation equation was obtained, which remedies a fault existing in the lattice theory of dislocation. A better simplification of non-diagonal terms of the kernel was given. The solution of the new dislocation equation asymptotically became the same as that obtained in the elastic theory and agrees with experimental data. It was found that the solution was formally identical with that proposed phenomenologically by Foreman et al, where the parameter could be chosen freely, but cannot uniquely determined from theory. Indeed, if the parameter in the expression of the solution was selected suitably, the expression could be well applied to describe the fine structure of the dislocation.

An Improvement of the Lattice Theory of Dislocations for a Two-Dimensional Triangular Crystal. S.F.Wang: Chinese Physics, 2005, 14[4], 791-5