Abstract
On the assumption that the potential energy of the three cubic lattices of the Bravais type consists of two terms, an attractive one proportional tor−mand a repulsive one proportional tor−n,n>m,stability conditions are expressed in the form that two functions of the numbernshould be monotonically increasing. These functions have been calculated numerically forn= 4 to 15, and are represented as curves with the abscissan. The result is that the face-centred lattice is completely stable, that the body-centred lattice is unstable for large exponents in the law of force, and that the simple lattice is always unstable,—in complete agreement with the results of Part I.
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