For a given group-subgroup transition, the complete set of order parameters, primary and secondary, describe the distortions that accompany this, transition. The task of obtaining all order-parametric distortions for a group-subgroup pair is a long standing problem. An algorithm is presented here which obtains the irreducible representations and order parameter directions for an arbitrary transition, Examples are given for a variety of phase transitions showing the application and utility of the procedure. It is shown that a unique selection of primary order parameters is not always possible.
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