Abstract
A screw dislocation in alkali metals (in the direction of the edge of a cube) is treated by lattice-theory. The dislocation width is determined a variatonal principle for the energy, and is compared with the Peierls model. The dislocation width τ, unlike the Peierls model (σ = a/4) varies considerably with position : a 5 in the stable, a 9 in the unstable position ( a is the cubic lattice constant). The resulting value of the Peierls force τ p is modified considerably by the strong position-dependence of the dislocation width : T p = 9 × 10 −2 c 44 in the Peierls model, 4 × 10 −3 c 44 by the corresponding calculation using lattice theory ( c 44 modulus of rigidity).
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