Magnetism diagrams for transition metal ions

著者

書誌事項

Magnetism diagrams for transition metal ions

E. König and S. Kremer

Plenum Press, c1979

大学図書館所蔵 件 / 全11件

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注記

Includes index

Bibliography: p. 45-46

内容説明・目次

内容説明

The study ofmagneticproperties as a method to determine molecularand electronic structure of the ground state has a long tradition, in particular as far as metal complexes and solids of the transition metals are concerned. In the early days of the development, the emphasiswas placedon the observation ofdeviationsfrom the "spin-only" magnetic moment, the underlying assumption being that the value of themomentatroomtemperaturewouldsufficetodetermine boththeoxidationstate of the metal and the stereochemistry of the complex. The increasing number of deviations from these simple rules shifted the interest of researchers to the more detailed study ofthe temperature dependence of the magnetic moment. Most of the experimentalresults was then limited to measurementson powderedsubstancesand totemperatures between 77 and 300 K. Although themajorityofdataarestillofthis type, magnetic studies down to or even below 4. 2 K have become more common within the last few years as the sophistication of the equipment has increased. In addition, the investigation of magnetic anisotropies and principal magnetic suscep- tibilities received a new impetus. In order to make the best possible use of the theory, magnetism diagrams based on calculations by the ligand field theory were produced. As a rule, these diagrams show the effective magnetic moment as a function of the temperature and of any N additional parameters of interest. The first magnetism diagrams applicable to d electronicconfigurationswerepublished 30 yearsago byKotani. Thesediagrams are limited to the configurations (t2g)N, N = 1 to 4, in octahedral symmetry.

目次

I.- 1. Introduction.- 2. Conventional Magnetism Diagrams and Their Limitations. Present State of the Art.- 3. Tensor Operator Algebra for Point Groups.- 3.1. Tensor Operators and the Wigner-Eckart Theorem.- 3.2. 3-? and 6-? Symbols.- 3.3. Tensor Operators in Subgroups of SO(3).- 3.4. Kronecker and Scalar Products of Tensor Operators.- 3.5. Tensor Operators of the Ligand Field.- 4. The Weak-Field Method.- 4.1. The Hamiltonian, States, and Wave Functions.- 4.2. The Various Coefficients.- 4.3. Matrix Elements.- 4.4. Calculation of Magnetic Susceptibility.- 5. The Intermediate-Field Method.- 5.1. The Hamiltonian, States, and Wave Functions.- 5.2. The Various Coefficients.- 5.3. Matrix Elements.- 6. Description of Programs.- 6.1. General Outline.- 6.2. Computation of Matrix Elements.- 6.3. Diagonalization of Energy Matrix.- 6.4. Calculation of Magnetic Susceptibility.- 7. Description of the Diagrams and Their Application.- Appendix. The Projection Operators.- References.- II Diagrams.- Average Effective Magnetic Moment as Function of Temperature and Dq, K =1.0.- 1d Electron, Octahedral and Tetrahedral Symmetry.- 1d Electron, Tetragonal Symmetry.- 1d Electron, Trigonal Symmetry.- 1d Electron, Cylindrical Symmetry.- 2d Electrons, Octahedral and Tetrahedral Symmetry.- 2d Electrons, Tetragonal Symmetry.- 2d Electrons, Trigonal Symmetry.- 2d Electrons, Cylindrical Symmetry.- 3d Electrons, Octahedral and Tetrahedral Symmetry.- 3d Electrons, Tetragonal Symmetry.- 3d Electrons, Trigonal Symmetry.- 3d Electrons, Cylindrical Symmetry.- 4d Electrons, Octahedral and Tetrahedral Symmetry.- 4d Electrons, Tetragonal Symmetry.- 4d Electrons Trigonal Symmetry.- 4d Electrons, Cylindrical Symmetry.- 5d Electrons, Octahedral and Tetrahedral Symmetry.- 5d Electrons, Tetragonal Symmetry.- 5d Electrons, Trigonal Symmetry.- 5d Electrons, Cylindrical Symmetry.- 6d Electrons, Octahedral and Tetrahedral Symmetry.- 6d Electrons, Tetragonal Symmetry.- 6d Electrons, Trigonal Symmetry.- 6d Electrons, Cylindrical Symmetry.- 7d Electrons, Octahedral and Tetrahedral Symmetry.- 7d Electrons, Tetragonal Symmetry.- 7d Electrons, Trigonal Symmetry.- 7d Electrons, Cylindrical Symmetry.- 8d Electrons, Octahedral and Tetrahedral Symmetry.- 8d Electrons, Tetragonal Symmetry.- 8d Electrons, Trigonal Symmetry.- 8d Electrons, Cylindrical Symmetry.- 9d Electrons, Octahedral and Tetrahedral Symmetry.- 9d Electrons, Tetragonal Symmetry.- 9d Electrons, Trigonal Symmetry.- 9d Electrons, Cylindrical Symmetry.- Average Effective Magnetic Moment as Function of Temperature and Dq, K = 0.75, 0.50.- 1d Electron, Tetragonal, Trigonal, and Cylindrical Symmetry.- 2d Electrons, Tetragonal, Trigonal, and Cylindrical Symmetry.- 3d Electrons, Tetragonal, Trigonal, and Cylindrical Symmetry.- 4d Electrons, T etragonal, Trigonal, and Cylindrical Symmetry.- 5d Electrons, Tetragonal, Trigonal, and Cylindrical Symmetry.- 6d Electrons, Tetragonal, Trigonal, and Cylindrical Symmetry.- 7d Electrons, Tetragonal, Trigonal, and Cylindrical Symmetry.- 8d Electrons, Tetragonal, Trigonal, and Cylindrical Symmetry.- 9d Electrons, Tetragonal, Trigonal, and Cylindrical Symmetry.- Principal Effective Magnetic Moments as Function of Temperature and Dq.- 1d Electron, Tetragonal, Trigonal, and Cylindrical Symmetry.- 2d Electrons, Tetragonal, Trigonal, and Cylindrical Symmetry.- 3d Electrons, Tetragonal, Trigonal, and Cylindrical Symmetry.- 4d Electrons, Tetragonal, Trigonal, and Cylindrical Symmetry.- 5d Electrons, Tetragonal, Trigonal, and Cylindrical Symmetry.- 6d Electrons, Tetragonal, Trigonal, and Cylindrical Symmetry.- 7d Electrons, Tetragonal, Trigonal, and Cylindrical Symmetry.- 8d Electrons, Tetragonal, Trigonal, and Cylindrical Symmetry.- 9d Electrons, Tetragonal, Trigonal, and Cylindrical Symmetry.

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