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The electron density and spin magnetic moment of relativistic collinear ferromagnets

An effective technique for computation of the electron density and spin magnetic moment in a ferromagnet, based on the relativistic Korringa - Kohn - Rostoker method, is developed and realized. The calculation formulae are derived using the Hellmann - Feynman theorem and perturbation theory for matrices. The influence of spin - orbit interaction on the formation of the electron spectrum as well as the problem of compatibility of electron states are discussed. The electron density and spin moment distributions and s-, p-, d-type contributions to them are analysed.