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Magnetic Functions Beyond the Spin-Hamiltonian

D. M. P. Mingos

Published by Springer-Verlag Gmbh Jan 2006, 2006
ISBN 10: 354026079X / ISBN 13: 9783540260790
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Title: Magnetic Functions Beyond the ...

Publisher: Springer-Verlag Gmbh Jan 2006

Publication Date: 2006

Binding: Buch

Book Condition: Neu

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Neuware - Using the spin-Hamiltonian formalism the magnetic parameters are introduced through the components of the Lambda-tensor involving only the matrix elements of the angular momentum operator. The energy levels for a variety of spins are generated and the modeling of the magnetization, the magnetic susceptibility and the heat capacity is done. Theoretical formulae necessary in performing the energy level calculations for a multi-term system are prepared with the help of the irreducible tensor operator approach. The goal of the programming lies in the fact that the entire relevant matrix elements (electron repulsion, crystal field, spin-orbit interaction, orbital-Zeeman, and spin-Zeeman operators) are evaluated in the basis set of free-atom terms. The modeling of the zero-field splitting is done at three levels of sophistication. The spin-Hamiltonian formalism offers simple formulae for the magnetic parameters by evaluating the matrix elements of the angular momentum operator in the basis set of the crystal-field terms. The magnetic functions for dn complexes are modeled for a wide range of the crystal-field strengths. 276 pp. Englisch. Bookseller Inventory # 9783540260790

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Synopsis: Using the spin-Hamiltonian formalism the magnetic parameters are introduced through the components of the Lambda-tensor involving only the matrix elements of the angular momentum operator. The energy levels for a variety of spins are generated and the modeling of the magnetization, the magnetic susceptibility and the heat capacity is done. Theoretical formulae necessary in performing the energy level calculations for a multi-term system are prepared with the help of the irreducible tensor operator approach. The goal of the programming lies in the fact that the entire relevant matrix elements (electron repulsion, crystal field, spin-orbit interaction, orbital-Zeeman, and spin-Zeeman operators) are evaluated in the basis set of free-atom terms. The modeling of the zero-field splitting is done at three levels of sophistication. The spin-Hamiltonian formalism offers simple formulae for the magnetic parameters by evaluating the matrix elements of the angular momentum operator in the basis set of the crystal-field terms. The magnetic functions for dn complexes are modeled for a wide range of the crystal-field strengths. TOC:R. Boca: Magnetic Parameters and Magnetic Functions in Mononuclear Complexes Beyond the Spin-Hamiltonian Formalism: Introduction.- Energy Levels of Multi-Term Systems.- Modeling the Magnetic Parameters.- Calculations of Energy Levels and Magnetic Parameters.- Empirical Magnetic Parameters.- Conclusions.- References.- Appendix A: Spectroscopic Constants, Coefficients and Matrix Elements.- Appendix B: Elements of the Irreducible Tensor Approach.- Appendix C: Classification of Crystal-Field Terms and Multiplets.- Appendix D: Calculated Energy Levels and Magnetic Parameters

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