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Group theory. --- IR. --- Intensities. --- Potential functions. --- Raman. --- Rotation. --- Selection rules. --- Symmetry. --- Vibration. --- Vibrational spectra.
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Crystal-field theory. --- Eigenvalue. --- Group theory. --- Molecular vibrations. --- Molecular-orbital theory. --- Orbitals. --- Point groups. --- Selection rules. --- Spectra. --- Symmetry (Physics).
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Crystal lattices --- Vibrational spectra --- Representations of groups --- 543.422.4 --- Spectrum, Vibrational --- Vibration spectra --- Molecular spectra --- Molecular spectroscopy --- Group representation (Mathematics) --- Groups, Representation theory of --- Group theory --- Crystals --- Crystallography, Mathematical --- Lattice theory --- Twinning (Crystallography) --- Infra-red spectroscopy --- Lattices --- Crystal lattices. --- Representations of groups. --- Vibrational spectra. --- Correlation tables --- Selection rules --- Site symmetry --- Correlation tables. --- Selection rules. --- Site symmetry. --- 543.422.4 Infra-red spectroscopy --- Infrared spectra. --- Lattice dynamics. --- Raman effect. --- Molecular vibration --- Selection rule --- Symmetry
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Sight is the dominant sense of mankind to apprehend the world at the earth scale and beyond the frontiers of the infinite, from the nanometer to the incommensurable. Primarily based on sunlight and natural and artificial light sources, optics has been the major companion of spectroscopy since scientific observation began. The invention of the laser in the early sixties has boosted optical spectroscopy through the intrinsic or specific symmetry electronic properties of materials at the multiscale (birefringence, nonlinear and photonic crystals), revealed by the ability to monitor light polarization inside or on the surface of designed objects. This Special Issue of Symmetry features articles and reviews that are of tremendous interest to scientists who study linear and nonlinear optics, all oriented around the common axis of symmetry. Contributions transverse the entire breadth of this field, including those concerning polarization and anisotropy within colloids of chromophores and metal/semiconducting nanoparticles probed by UV-visible and fluorescence spectroscopies; microscopic structures of liquid–liquid, liquid–gas, and liquid–solid interfaces; surface- and symmetry-specific optical techniques and simulations, including second-harmonic and sum-frequency generations, and surface-enhanced and coherent anti-Stokes Raman spectroscopies; orientation and chirality of bio-molecular interfaces; symmetry breaking in photochemistry; symmetric multipolar molecules; reversible electronic energy transfer within supramolecular systems; plasmonics; and light polarization effects in materials.
Information technology industries --- Computer science --- symmetry breaking --- chiral plasmonics --- non-linear optics --- plasmonic devices --- plasmonic sensing --- plasmonics --- LSPR scattering --- polarisation manipulation --- metamaterials --- Faraday effect (rotation) --- magneto-optic Kerr effect (MOKE) --- magnetoplasmonics --- molecular orientation --- spectral unmixing --- infrared absorption --- visible-infrared sum-frequency generation --- Raman scattering --- linear programming --- centrosymmetry --- spectroscopy --- selection rules --- infrared --- Raman --- sum-frequency generation --- interfaces --- molecules --- nanoparticles --- molecular aggregates --- second harmonic generation --- hyper rayleigh scattering --- second harmonic scattering --- light polarizatio --- quantum dots --- phenyl derivative --- UV–Visible spectroscopy --- sum-frequency generation spectroscopy --- dipole–dipole interaction --- polyoxometalates --- donor/acceptor substituents --- first hyperpolarizability --- (time-dependent) DFT --- n/a --- UV-Visible spectroscopy --- dipole-dipole interaction
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Sight is the dominant sense of mankind to apprehend the world at the earth scale and beyond the frontiers of the infinite, from the nanometer to the incommensurable. Primarily based on sunlight and natural and artificial light sources, optics has been the major companion of spectroscopy since scientific observation began. The invention of the laser in the early sixties has boosted optical spectroscopy through the intrinsic or specific symmetry electronic properties of materials at the multiscale (birefringence, nonlinear and photonic crystals), revealed by the ability to monitor light polarization inside or on the surface of designed objects. This Special Issue of Symmetry features articles and reviews that are of tremendous interest to scientists who study linear and nonlinear optics, all oriented around the common axis of symmetry. Contributions transverse the entire breadth of this field, including those concerning polarization and anisotropy within colloids of chromophores and metal/semiconducting nanoparticles probed by UV-visible and fluorescence spectroscopies; microscopic structures of liquid–liquid, liquid–gas, and liquid–solid interfaces; surface- and symmetry-specific optical techniques and simulations, including second-harmonic and sum-frequency generations, and surface-enhanced and coherent anti-Stokes Raman spectroscopies; orientation and chirality of bio-molecular interfaces; symmetry breaking in photochemistry; symmetric multipolar molecules; reversible electronic energy transfer within supramolecular systems; plasmonics; and light polarization effects in materials.
Information technology industries --- Computer science --- symmetry breaking --- chiral plasmonics --- non-linear optics --- plasmonic devices --- plasmonic sensing --- plasmonics --- LSPR scattering --- polarisation manipulation --- metamaterials --- Faraday effect (rotation) --- magneto-optic Kerr effect (MOKE) --- magnetoplasmonics --- molecular orientation --- spectral unmixing --- infrared absorption --- visible-infrared sum-frequency generation --- Raman scattering --- linear programming --- centrosymmetry --- spectroscopy --- selection rules --- infrared --- Raman --- sum-frequency generation --- interfaces --- molecules --- nanoparticles --- molecular aggregates --- second harmonic generation --- hyper rayleigh scattering --- second harmonic scattering --- light polarizatio --- quantum dots --- phenyl derivative --- UV–Visible spectroscopy --- sum-frequency generation spectroscopy --- dipole–dipole interaction --- polyoxometalates --- donor/acceptor substituents --- first hyperpolarizability --- (time-dependent) DFT --- n/a --- UV-Visible spectroscopy --- dipole-dipole interaction
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Sight is the dominant sense of mankind to apprehend the world at the earth scale and beyond the frontiers of the infinite, from the nanometer to the incommensurable. Primarily based on sunlight and natural and artificial light sources, optics has been the major companion of spectroscopy since scientific observation began. The invention of the laser in the early sixties has boosted optical spectroscopy through the intrinsic or specific symmetry electronic properties of materials at the multiscale (birefringence, nonlinear and photonic crystals), revealed by the ability to monitor light polarization inside or on the surface of designed objects. This Special Issue of Symmetry features articles and reviews that are of tremendous interest to scientists who study linear and nonlinear optics, all oriented around the common axis of symmetry. Contributions transverse the entire breadth of this field, including those concerning polarization and anisotropy within colloids of chromophores and metal/semiconducting nanoparticles probed by UV-visible and fluorescence spectroscopies; microscopic structures of liquid–liquid, liquid–gas, and liquid–solid interfaces; surface- and symmetry-specific optical techniques and simulations, including second-harmonic and sum-frequency generations, and surface-enhanced and coherent anti-Stokes Raman spectroscopies; orientation and chirality of bio-molecular interfaces; symmetry breaking in photochemistry; symmetric multipolar molecules; reversible electronic energy transfer within supramolecular systems; plasmonics; and light polarization effects in materials.
symmetry breaking --- chiral plasmonics --- non-linear optics --- plasmonic devices --- plasmonic sensing --- plasmonics --- LSPR scattering --- polarisation manipulation --- metamaterials --- Faraday effect (rotation) --- magneto-optic Kerr effect (MOKE) --- magnetoplasmonics --- molecular orientation --- spectral unmixing --- infrared absorption --- visible-infrared sum-frequency generation --- Raman scattering --- linear programming --- centrosymmetry --- spectroscopy --- selection rules --- infrared --- Raman --- sum-frequency generation --- interfaces --- molecules --- nanoparticles --- molecular aggregates --- second harmonic generation --- hyper rayleigh scattering --- second harmonic scattering --- light polarizatio --- quantum dots --- phenyl derivative --- UV–Visible spectroscopy --- sum-frequency generation spectroscopy --- dipole–dipole interaction --- polyoxometalates --- donor/acceptor substituents --- first hyperpolarizability --- (time-dependent) DFT --- n/a --- UV-Visible spectroscopy --- dipole-dipole interaction
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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.
Chemistry. --- APES vertical matrix elements. --- Basis states for irreps of I. --- Biharmonic Variables. --- Born-Oppenheimer approximation. --- Born-Oppenheimer products. --- Cluster Hamiltonian. --- Cluster model Ham factors. --- Cluster models. --- Crystal fields lowering symmetry. --- Dynamic JT effect. --- Electron spin resonance (esr). --- Electron-phonon interactions. --- Epikernel Principle. --- Franck-Condon principle. --- Ground states, cluster model. --- Group I, spin representations. --- Hyperspherical coordinates. --- I double group. --- Icosahedral clusters. --- Icosahedron, vertices. --- Interaction matrices. --- JT active modes. --- JT effect dynamic. --- Jahn-Teller theorem. --- Kramers degeneracy. --- Lanczos process, modified. --- Line spectra, multimode. --- Multi-mode Hamiltonian. --- Multi-mode effects. --- Numerical phase tracking. --- Optical absorption, band spectra. --- Parameters of minima. --- Quadratic Jahn-Teller effect. --- Quantum tunneling energies. --- Random strains. --- Rotating distortions. --- Rotational symmetry. --- Second quantization. --- Sloncjewski resonances. --- Spectra, experimental. --- Spectra, selection rules. --- Spin Hamiltonian. --- Strain lowering symmetry. --- Symmetry lowering strains. --- Time reversal degeneracy. --- Tunneling integral. --- Tunneling. --- Vertical transitions. --- WKB approximation. --- WKB in one dimension.
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The many-faceted efforts to understand the structure and interactions of atoms over the past hundred years have contributed decisively and dramatically to the explosive development of physics. There is hardly a branch of modern physical science that does not in some seminal way rely on the fundamental principles and mathematical and experimental insights that derive from these studies. In particular, the drive to understand the singular features of the hydrogen atom--simultaneously the archetype of all atoms and the least typical atom--spurred many of the twentieth century's advances in physics and chemistry. This book gives an in-depth account of the author's own penetrating experimental and theoretical investigations of the hydrogen atom, while simultaneously providing broad lessons in the application of quantum mechanics to atomic structure and interactions. A pioneer in the combined use of atomic accelerators and radiofrequency spectroscopy for probing the internal structure of the hydrogen atom, Mark Silverman examines the general principles behind this far-reaching experimental approach. Fast-moving protons are directed into gas or foil targets from which they capture electrons to become hydrogen atoms moving uniformly at very high speeds. During their rapid passage through the spectroscopy chamber of the atomic accelerator, these atoms reveal by the light they emit fascinating details of their internal configuration and the interactions that created them. Silverman examines the effects of radiofrequency fields on the hydrogen atom clearly and systematically, explaining the details of these interactions at different levels of complexity and refinement, each level illuminating the physical processes involved from different and complementary perspectives. Readers interested in diverse areas of physics and physical chemistry will appreciate both the theoretical and practical implications of Silverman's studies and the personal style with which he relays them. This is a work of not only an outstanding research physicist, but a fine teacher who understands how curiosity underlies all science.
Atomic structure. --- Back-Goudsmit effect. --- Bohr magneton. --- Bohr radius. --- Clebsch-Gordan coefficient. --- Dirac zeta function. --- Doppler broadening. --- Fermi contact interaction. --- Fermi golden rule. --- Gaussian lineshape. --- Green's function. --- Hermitian operator. --- Huygen's principle. --- Laplace equation. --- Pauli spin matrices. --- Ramsay method. --- Stark effect. --- Thomas precession. --- acceleration potential. --- angular distribution function. --- annihilation operator. --- anticommutator. --- antiresonant frequency. --- basis states. --- coherence terms. --- collisional broadening. --- counter-rotating frame. --- density matrix. --- detection operator. --- diamagnetic interaction. --- efficiency matrix. --- eigenvalue problem. --- extraction potential. --- field mode density. --- fine structure constant. --- gas target. --- gyromagnetic ratio. --- helicity. --- impedance mismatch. --- interaction representation. --- level anticrossing. --- lineshape narrowing. --- occupation probabilities. --- optical signal function. --- paraxial ray equation. --- periodic table. --- polarization of the vacuum. --- power saturation curve. --- quantum interference. --- quantum numbers. --- reflection coefficient. --- resonant frequency. --- selection rules.
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