Crystal structure determination by simultaneous use of cosine invariant computation and the multisolution method

An algorithm is given for the rapid computation of the cosine invariants, cos (φ - _H1 + φ_H2 + φ_{H1 - H2}), and the results are compared with the actual values for three structures. A weighting scheme is derived which enables this information to be incorporated directly into the multisolution tangent method of phase determination. Details are given of the determination of four unknown structures by this method.