Triplet phase invariants: Formula for acentric case from fourth-order determinantal joint probability distributions.
A conditional probability distribution for triplet invariants is derived for noncentrosymmetric crystals from fourth-order determinantal joint probability distributions. The formula makes use of the entire data set in the computations for each invariant. Test calculations indicate that the formula can be used to help select invariants whose values are distributed close to zero and also to evaluate special invariants associated with seminvariant phases.
Laboratory for the Structure of Matter, Naval Research Laboratory, Washington, D.C. 20375.
J
J
Karle