Exchange Energy And Magnetism Of Rare - Earth Metals

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In our study of Ferromagnetism, we have used the Heisenberg model as a generalframe work. The indirect exchange model of Ruthermann - Kittel interaction (originallyproposed for atomic nuclei) is applied to the case of Rare - earth Ferromagnetic systems. Thisexchange energy (between spins) is calculated as a second order perturbation. The behaviour

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of the Weiss Mean Field (WMF) which is an approximation of the exchange interaction andthe energy spectrum of the spin are presented in graphical form.Calculation of the WMF and the energy against the Fermi Wave Vector (KF) are performedfor simple cubic lattice (SC), Body-Centred Cubic lattice (BCC) and Face-Centred Cubiclattice (FCC) configuration along the [100] direction. The results obtained are in goodagreement with those found in the literature. The extension to Hexagonal Closed Pack (HCP)which is the common structure in Rare - earth metals is the major contribution of this project.The plots of the WMF and energy against KF along [100], [110] and [111] directions giveregions of positive values, thereby satisfying the main condition for Ferromagnetic properties.

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Project ID TH6102

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Exchange Energy And Magnetism Of Rare - Earth Metals

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