Non‐Linear Dipole Effects in the Infra‐Red Absorption of GaAs

Borik, H.

doi:10.1002/pssb.19700390116

Cited by 12 publications

(3 citation statements)

References 16 publications

(2 reference statements)

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“…Shift function calculated from r&u) after equation(11) in arbitrary units The application of a criterion given by Borik[20] on the basis of a simpler shell model confirms this assumption.…”

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confidence: 52%

Lattice Dynamics and Infrared Absorption of Cesium Halides

Mahler

Engelhardt

1971

Physica Status Solidi (b)

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Based on the Breathing Shell Model dispersion curves and densities of states of CsCl, CsBr, and CsI are calculated. I n addition the two-phonon-density of states, the damping function, and the shift of the resonance frequency are computed for CsBr and compared with experimental data.Mit Hilfe des Breathing-Shell-Modells werden Dispersionskurven und Zustandadichten von CsC1, CsBr und C d berechnet. Am Beispiel von CsBr wird die Zweiphononendichte, die Diimpfungsfunktion und die Verschiebung der Resonanzfrequenz berechnet und mit experimentellen Daten verglichen.

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“…Shift function calculated from r&u) after equation(11) in arbitrary units The application of a criterion given by Borik[20] on the basis of a simpler shell model confirms this assumption.…”

mentioning

confidence: 52%

Lattice Dynamics and Infrared Absorption of Cesium Halides

Mahler

Engelhardt

1971

Physica Status Solidi (b)

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“…On the other hand, the increase of the ionic charge from one to two supports the absorption mechanism via the Reststrahlen oscillator so that an effect of the second order dipole moment cannot be evaluated from the experimental spectra (BORIK, 1970). In this respect, the cubic oxides show a behavior very similar to those of the alkali halides.…”

Section: Ff)mentioning

confidence: 88%

“…For alkali halides these may be derived from a Born-Mayer type two-body potential, while for the diamond structure, because of the equality of the two atoms in a cell, three-atom interactions must be considered (SZIGETI, 1963;WEHNER, 1966). The relation of the second-order dipole moment to the anharmonicity in infrared absorption has been investigated, for example, by SZIGETI (1963), COWLEY (1963), BORIK (1970) and KNOHL (1972).…”

Section: Lattice Dipole Momentmentioning

confidence: 99%

Vibrational Infrared and Raman Spectra of Non-Metals

Bilz¹,

Strauch²,

Wehner³

1984

Light and Matter Id / Licht Und Materie Id

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The vibrational properties of crystals determine the photon infrared absorption, inelastic neutron scattering and, to a large extent, inelastic photon scattering by phonons, i.e., Raman scattering. The interpretation of infrared and Raman spectra requires, therefore, an understanding of the basic features of lattice dynamics. The quantum theory of solids describes the crystal properties in terms of elementary excitations and their mutual interactions. Dynamic properties are represented by phonons (lattice vibrations) and their interactions mainly with other phonons (anharmonicity), electrons (electron-phonon coupling), and photons (interaction with radiation). This characterizes the scope of the article. Its emphasis is on the interrelation between theory and experiment, i.e., on the microscopic or model interpretation of experimental spectra.Work on infrared absorption and Raman scattering of non-metallic solids was summarized twenty years ago in two review articles in this Encyclopedia by LECOMTE (1958) and by MIZUSHIMA (1958). Since then, many important new experimental data have become available, thanks to very refined techniques for measuring spectra of pure and imperfect single crystals. Furthermore, the theory of the interactions of phonons and photons has been much improved, stimulated by the remarkable development of the theory of lattice vibrations and the mathematical techniques of many-body physics.In this article we describe the dispersion and absorption of infrared radiation and Raman scattering in non-metallic crystals, both perfect and containing point defects. At present, quantitative calculations are usually restricted to diatomic crystals, especially those with simple structures such as the alkali halides or germanium and its homologues, since our knowledge of lattice vibrations is still rather poor for polyatomic and low-symmetry crystals. The theory of lattice vibrations, as reviewed by COCHRAN and COWLEY (1967) in Vol. XXV /2a of this Encyclopedia, constitutes the background and the natural starting point for our investigations. There are other recent reviews by LUDWIG (1967), COCHRAN (1971), MARADUDIN et al. (1971), SINHA (1973), and several articles in: HORTON and MARADUDIN (eds., 1974). A summary of the developments during the last few years is given in Chap. B.An important part of the theory of lattice vibrations is the construction of models. A good example is the so-called shell model for phonons (see Sect. 4) which describes the adiabatic linear electron-ion interaction in terms of localized charges and coupling constants. This provides a natural explanation of some long-range ion-ion forces in insulators in terms of induced dipole forces. Anharmonic extensions of this shell model and its modifications seem very desirable, and first attempts in this direction are discussed.Models can often give a qualitatively and sometimes quantitatively correct description of certain processes in terms of a few parameters. They provide, therefore, an orientation for microscopic approaches. Furthermo...

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Zur Ultrarot‐Absorption in Ionenkristallen

Knohl

1972

Physica Status Solidi (b)

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The infra-red absorption and reflection of LiF was calculated at 7.5,70, and 300 O K in a "Breathing Shell Model" .[4, 51, which was extended to include third order anharmonicity. The Coulomb anharmonicity was found to be of the same importance as the short range anharmonicity. The influence of the second order dipole moment turned out to be negligible at frequencies below the 2l/, fold resonance frequency The agreement of experiment and theory containing one adjustable parameter is very good a t low temperat,nres but decreases wit3h increasing temperature due to the neglect of fourth order anharmonicity. I . Einfuhrung

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Non‐Linear Dipole Effects in the Infra‐Red Absorption of GaAs

Cited by 12 publications

References 16 publications

Lattice Dynamics and Infrared Absorption of Cesium Halides

Lattice Dynamics and Infrared Absorption of Cesium Halides

Vibrational Infrared and Raman Spectra of Non-Metals

Zur Ultrarot‐Absorption in Ionenkristallen

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