Importance of the Cubic Field for Axial Zero-Field Splitting of a Magnetic Ion

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Abstract
The variation of the excited energy levels of a 6S ion as a function of the strength of the cubic field has been investigated and its effect on the zero‐field splitting of the ground level of the ion in an axial field has been determined. The usual belief that the splitting always diminishes as the strength of the cubic field decreases, has been found to be incorrect. In fact, in some cases, the splitting decreases as the strength of the cubic field is increased. A striking and new result has been pointed out which shows that the splitting can be zero even in the presence of an axial field. These results are useful to understand why in a certain crystal evniroment the splitting is very small while in the other it is vary large. Furthermore, the splitting is found to be sensitive to the strength of the cubic field and may even change sign by varying the strength. Application to various crystals containing Mn2+ impurity has been discussed.

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