Magnetic Ions in Crystals (eBook)

K. W. Stevens (Autor)

eBook Download: PDF

2014
268 Seiten
Princeton University Press (Verlag)
978-1-4008-6446-1 (ISBN)

Infos

There have been many demonstrations, particularly for magnetic impurity ions in crystals, that spin-Hamiltonians are able to account for a wide range of experimental results in terms of much smaller numbers of parameters. Yet they were originally derived from crystal field theory, which contains a logical flaw; electrons on the magnetic ions are distinguished from those on the ligands. Thus there is a challenge: to replace crystal field theory with one of equal or greater predictive power that is based on a surer footing. The theory developed in this book begins with a generic Hamiltonian, one that is common to most molecular and solid state problems and that does not violate the symmetry requirements imposed on electrons and nuclei. Using a version of degenerate perturbation theory due to Bloch and the introduction of Wannier functions, projection operators, and unitary transformations, Stevens shows that it is possible to replace crystal field theory as a basis for the spin-Hamiltonians of single magnetic ions and pairs and lattices of magnetic ions, even when the nuclei have vibrational motion.The power of the method is further demonstrated by showing that it can be extended to include lattice vibration and conduction by electron hopping such as probably occurs in high-Tc superconductors. Thus Stevens shows how an apparently successful ad hoc method of the past can be replaced by a much more soundly based one that not only incorporates all the previous successes but appears to open the way to extensions far outside the scope of the previously available methods. So far only some of these have been explored. The book should therefore be of great interest to all physicists and chemists concerned with understanding the special properties of molecules and solids that are imposed by the presence of magnetic ions.Originally published in 1997.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Produkt-Details

• Erscheint lt. Verlag: 14.7.2014
• Reihe/Serie: Princeton Legacy Library
• Reihe/Serie: Princeton Legacy Library
• Zusatzinfo: 9 line illus. 3 tables
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• Themenwelt: Technik
• Schlagworte: Angular momentum • Angular momentum operator • antiferromagnetism • Approximation • atomic spectroscopy • Basis set (chemistry) • Bohr magneton • Bose–Einstein statistics • Charge Density • Charged particle • Classical physics • coefficient • Cooper pair • Coulomb's Law • Creation and annihilation operators • Crystal Field Theory • Crystallite • crystal structure • Degrees of freedom (physics and chemistry) • Determinant • Diamagnetism • Eigenfunction • Eigenvalues and Eigenvectors • elastic collision • Electric dipole moment • electric dipole transition • Electric Field • Electric potential energy • electromagnetism • Electron hole • Electronic band structure • Electron magnetic moment • Electron Paramagnetic Resonance • energy level • Exchange interaction • Excitation (magnetic) • Expectation value (quantum mechanics) • Fermi–Dirac statistics • Fermi level • ferrimagnetism • Ferrite (magnet) • ferromagnetic resonance • ferromagnetism • ground state • group theory • hamiltonian mechanics • Harmonic oscillator • Heisenberg model (quantum) • hilbert space • hydrogen atom • Inelastic neutron scattering • Iron group • irreducible representation • kinetic energy • magnetic anisotropy • magnetic dipole • magnetic dipole transition • Magnetic Energy • Magnetic field • Magnetic moment • magnetic structure • magnetic susceptibility • magnetism • Matrix element (physics) • Maxwell–Boltzmann statistics • Molecular Vibration • neutron scattering • Nuclear magnetic moment • Nuclear Magnetic Resonance • Paramagnetism • perturbation theory • Perturbation theory (quantum mechanics) • phase transition • Physics • quantum field theory • quantum harmonic oscillator • quantum mechanics • Quantum number • quantum statistical mechanics • quantum system • Requirement • Rotation operator (quantum mechanics) • Scalar (physics) • Schrödinger equation • Slater determinant • spectroscopy • Spin Magnetic Moment • Spin–orbit interaction • Spin (physics) • Spin structure • spontaneous magnetization • Superconductivity • Symmetry operation • Temperature • Tensor operator • theoretical physics • Translation operator (quantum mechanics) • Variational method (quantum mechanics) • Wannier function • wave function
• ISBN-10: 1-4008-6446-1 / 1400864461
• ISBN-13: 978-1-4008-6446-1 / 9781400864461