The extraction of the weighted periodic vector set from the Patterson function

A new method is presented for the extraction of the weighted periodic vector set from the Patterson function. The method depends on the determination of a generalized polynomial which approximates the Patterson function. The coefficients of this polynomial indirectly establish the weighted periodic vector set. The method is completely independent of symmetry and the resolution of the Patterson function. In practice, the value of the results obtained is indirectly limited by the number of atoms per unit cell.