Theoretical stability of a perfect nickel crystal subjected to various stresses

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Abstract
A theoretical study is made of the lattice stability of Ni subjected to various kinds of simple stresses. Calculations are carried out for the Ni crystal using two-body exponentially attractive and exponentially repulsive potentials, and also for two-directional stresses of equal magnitude acting simultaneously along the a2 and a3 directions of the crystal. The region of lattice stability in the a2=a3 plane of the a1, a2, a3 space is also investigated using the generalised Morse functions phi m(r)=(D/(m-1))(exp(-m alpha (r-r0))-m exp(- alpha (r-r0))) taking two extreme values of m, namely 1.25 and 6. Cases of (i) unidirectional stress, (ii) two-directional stresses, (iii) unidirectional deformation and (iv) application of hydrostatic pressure are shown to arise as specific cases of the generalised calculations presented here. The possibility of phase transition from FCC phase to BCC phase is discussed.

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