Now we investigate the effect of elongation. As discussed earlier, due to the contribution in Eq. (2.16), even a small elongation may have a strong effect on the energy barrier of the multi-spin particle, and in particular on the effective uniaxial constant , as will be seen below. Fig. 2.9 shows the energy potential of an ellipsoidal multi-spin particle with aspect ratio 2:3, cut from an fcc lattice. Unlike the energy potentials of spherical multi-spin particle, the result here shows that for large surface anisotropy the energy minimum corresponds to , see Fig. 2.9(d). Indeed, due to a large number of local easy axes on the surface pointing perpendicular to the core easy axis, the total effect is to change this point from a saddle for small to a minimum when has large values.
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The effective uniaxial and cubic anisotropy constants are shown in Fig. 2.10, for nanoparticles cut from fcc and sc lattice. As expected, the effective uniaxial constant is linear in shows a strong variation and even changes sign at some value of , as opposed to the case of a spherical multi-spin particle. On the other hand, as for the latter case, the constant retains its behavior as a function of , i.e. is proportional . Again, in the case of an sc lattice and on an fcc lattice .
Rocio Yanes