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Extensions of the conventional Stevens operators Okq to negative values of q and their transformation properties are reviewed and reconsidered. Transformation matrices with k=1 to 6 and -k<or=q<or=+k for a general rotation ( Phi , Theta ) of the frame of coordinates are derived by computer using ALTRAN and the corresponding matrices for the operators Tlm. As a special case a transformation which is particularly useful in EPR studies is considered. In the interest of transcription accuracy, the computer-derived transformation relations are reproduced from camera-ready computer output. The present results for k=3 and 5, all q, and k=6, q=1 and 5, are new. A number of inconsistencies in the earlier papers are pointed out for k=2, 4 and 6. The concept of 'normalised' Stevens operators O'kq is extended to k=3 and 5 where numerical coefficients relating both sets of operators are given. The transformation matrices for the normalised Stevens operators can be read in a straightforward way from the expressions for the conventional operators. The conclusion is that both the conventional and normalised Stevens operators do transform consistently contrary to some earlier opinions.
Czesław Rudowicz (Sun,) studied this question.