Solid State Physics, Ch Point defects, dislocations and alloys
Problem
Diamond has a measured Peierls stress of about τP≈0.1G, with Poisson ratio ν≈0.2. Using τP≈1−ν2Ge−2πw/b, estimate the dislocation core width w, in units of the Burgers vector b, implied by this value. Compare it with silicon's core width of about w≈b (implied by silicon's τP≈10−2G), and comment on the trend from silicon to diamond in terms of bond directionality.