ABSTRACT

This chapter shows that, as a matter of fact, the line tension of the screw dislocation is isotropic by considering a three dimensional plot of the prelogarithmic energy factor E for a dislocation with Burgers vector a [111]/2. According to differential geometry the radii of curvature of the two-dimensional polar plots are obtained by intersection of the different possible glide planes with the three-dimensional polar plot in screw orientation. The result obtained implies that a [111] screw dislocation resists the formation of an infinitely small bulge on any possible glide plane by the same amount. It follows that the interaction energy of the two kinks of a kink pair in a screw dislocation is the same, independent of the plane in which they are formed. The result entices attempts to actually compute the analytic expression for the line tension.