On the relations between the crystal field parameter notations in the “Wybourne” notation and the conventional ones for 3d ions in axial symmetry crystal field

The correlations of the various crystal field (CF) notations existing in the literature for 3d^N ions in axial symmetry crystal field have been investigated. The confusions among these CF notations have been clarified. The correlations of the various CF notations are summarized in Table 1, which is very useful in the investigations of 3d^N ions in crystal material.