Interaction of Spherically Symmetric Particles in Cubic Crystals

Abstract

An explicit expression for the energy of interaction between two spherically symmetric particles via the strain field in cubic crystals is obtained with an accuracy up to quadratic terms with respect to the anisotropy parameter d = c₁₁ – c₁₂ – 2c₄₄. The diagrams depicting the regions of attraction and repulsion between particles projected onto the xy plane are drawn. It is found that at d < 0, the attraction regions are formed mostly along the x and y axes. At d > 0, the directions preferable for the attraction in the linear approximation with respect to the anisotropy parameter d are diagonals. However, each such direction becomes “split” into two directions if the nonlinear corrections are taken into account. In passing, we reveal the errors and misprints in the earlier papers based on the isotropic medium approximation (d = 0) and on the linear approximation with respect of parameter d.