Jahn-Teller Effect in C60 and Other Icosahedral Complexes (eBook)

C. C. Chancey, M. C.M. O'Brien (Autoren)

eBook Download: PDF

2021
221 Seiten
Princeton University Press (Verlag)
978-0-691-22534-0 (ISBN)

Infos

Because of the high symmetry involved, the Jahn-Teller effect is the natural starting point for considering electron-phonon (or vibronic) interactions in icosahedral molecules. This work is the first comprehensive theoretical analysis of the Jahn-Teller interaction in C60 and other icosahedral complexes. The importance of this research derives in part from the increasing, widespread interest in C60 and other molecular clusters and their application in science and industry. The electrical and spectroscopic properties of fullerene and fulleride compounds depend intimately on the coupling between the electronic and vibrational modes of these systems, and this book addresses the fundamental theoretical questions. In particular, a chapter is devoted to the connection between the theory and experimental observations, such as ESR (electron spin resonance) effects and molecular spectra. Earlier books have discussed the theory of Jahn-Teller interactions in lower symmetry structures (cubic, tetrahedral, tetragonal, trigonal,...); this is the first that focuses on the new icosahedral systems, whose most famous example is Buckminsterfullerene, C60. The book's authors have over fifty years of combined research experience into the theoretical aspects of the Jahn-Teller effect.

Produkt-Details

• Erscheint lt. Verlag: 9.2.2021
• Zusatzinfo: 30 tables 45 line illus.
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Angewandte Physik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Festkörperphysik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Hochenergiephysik / Teilchenphysik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
• Schlagworte: absorption band • adiabatic theorem • alkali metal • Angular momentum • Angular momentum coupling • Angular momentum operator • Anisotropy • APES vertical matrix elements • Atomic mass unit • Azimuthal quantum number • Basis set (chemistry) • Basis states for irreps of I • Biharmonic Variables • Bohr magneton • Born–Oppenheimer approximation • Born-Oppenheimer Approximation • Born-Oppenheimer products • buckminsterfullerene • Calculation • Charge Density • Cluster Hamiltonian • Cluster model Ham factors • Cluster models • Configuration Interaction • Coulomb's Law • coupling constant • Crystal fields lowering symmetry • crystallographic defect • crystal structure • Cube • Degeneracy (mathematics) • Degrees of freedom (mechanics) • Dimension • dodecahedron • Doublet state • Dynamic JT effect • Edward Teller • Eigenvalues and Eigenvectors • Electric dipole moment • electric dipole transition • Electron magnetic moment • Electron Paramagnetic Resonance • electron-phonon interactions • Electron spin resonance (esr) • emission spectrum • energy level • Epikernel Principle • Expectation value (quantum mechanics) • Fermi level • Flux Tube • four-dimensional space • Franck-Condon principle • Franck–Condon principle • Fullerene • Gaussian function • Gaussian (software) • Geometric Phase • G-factor (physics) • G factor (psychometrics) • Good quantum number • ground state • Ground states, cluster model • Group I, spin representations • Hamiltonian System • Harmonic oscillator • hypersphere • Hyperspherical coordinates • Icosahedral clusters • Icosahedral symmetry • icosahedron • Icosahedron, vertices • I double group • Interaction matrices • Ion • Jahn–Teller effect • Jahn-Teller theorem • JT active modes • JT effect dynamic • Kramers degeneracy • Lanczos process, modified • Line spectra, multimode • magnetic circular dichroism • Magnetic dipole–dipole interaction • Magnetic Energy • Molecular electronic transition • molecular geometry • Molecular Hamiltonian • Molecular Orbital • Molecular Vibration • Molecule • Multi-mode effects • Multi-mode Hamiltonian • Niels Bohr • Nuclear Magnetic Resonance • Numerical phase tracking • Optical absorption, band spectra • Parameters of minima • perturbation theory • Perturbation theory (quantum mechanics) • Phase space • phase transition • Phonon • polyhedron • Principal value • Projection (linear algebra) • Proportionality (mathematics) • Quadratic Jahn-Teller effect • Quadrupole • Quantum Chemistry • quantum mechanics • Quantum number • quantum system • Quantum tunneling energies • quantum tunnelling • Random strains • Regular icosahedron • Rotating distortions • Rotational Symmetry • Saddle point • Scalar (physics) • Schrödinger equation • Second Quantization • Sloncjewski resonances • Spectra, experimental • Spectra, selection rules • Sphere • Spin Hamiltonian • Spin–orbit interaction • Spin (physics) • Spin representation • Strain lowering symmetry • Superconductivity • symmetry breaking • Symmetry group • Symmetry lowering strains • Symmetry operation • Tetrahedral symmetry • tetrahedron • Time reversal degeneracy • Triatomic molecule • Triplet state • tunneling • Tunneling integral • Vertical transitions • Vibration • Vibronic coupling • wave function • WKB approximation • WKB in one dimension
• ISBN-10: 0-691-22534-6 / 0691225346
• ISBN-13: 978-0-691-22534-0 / 9780691225340