The Peierls energy for dislocations, that is the variation in energy when the dislocation is moving is normally calculated by a procedure used by Peierls in 1940 and Nabarro in 1947. They sum the energy at the position of the atoms when the displacement profile of the dislocation is shifted rigidly. This procedure does not allow for any changes in shape and resulting changes on elastic energy. It is shown here that changes in shape do take place and lead to considerable changes in elastic and misfit energy. The two contributions are, however, of opposite sign and nearly cancel each other.
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G. Schoeck (1999) studied this question.
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