I want to calculate perpendicular g-factor of Mn^4+ ion using the measured parallel g-factor and parallel hyperfine constant. It seems observed parallel g-factor=2 changes into about 8 at 20mK, and related to Mn^2+ and Mn^4+ respectively. This ESR is for impurity Mn ion of concentration less than parts per million. Spinel charge transfer is not exceptable in this case. Lower symmetry of MnO_6 complex at this temperature may be plausible as structural interaction. What is the mechanism of the change from Mn^2+ to Mn^4+ in the same structure changing oxidation? Is Magnetoresistance is involved in this action? If it is than how to explain spin transitions by quantum-Hall-effect?
Dear Md Akhter: Let me recall the following,
The Bohr magneton is the unit of a magnetic moment measured with a precision generally of the order of 1%. Bohr has given the first step of the interpretation of the magnetism. Uhlenbeck and Goudsmit introduce the notion of own rotation to explain the half integer unit of angular momentum h. The Runge’s law (1902) has already put in view a factor to express the anomalous Zeeeman effect in Lorentz unit. The factor is in fact the same that given by Dirac in the second part of its: “Quantum Theory of the electron that is g = k/(k+1/2), in the study of the Zeeman effect. The use of this expression give theoretical result in good agreement with experiment see “Total angular momentum and atomic magnetic moments” on my site with G. Lochak. The g factor appears as the ratio between the magnetic moment and the angular momentum. Xavier
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