Abstract
Using a method based only in group theory, and having in mind that many of today's experiments in EPR are done with paramagnetic crystals under external stress, we want to give those starting to work with this technique some idea how to write down a complete expression for the total interaction without assuming any model such as the spin Hamiltonian. This matrix interaction will have more parameters than the spin Hamiltonian, and we will decide the contribution of each one solely by experiment. We show the results of some experiments in transition and rare earth ions, and the equivalence between spin Hamiltonian parameters and the matrix interaction one.
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