PHONON BROADENING OF IMPURITY SPECTRAL LINES: I. GENERAL THEORY

1963 ◽  
Vol 41 (7) ◽  
pp. 1135-1173 ◽  
Author(s):  
Kyoji Nishikawa ◽  
Robert Barrie
Keyword(s):  
General Theory ◽  
Small Perturbation ◽  
Adiabatic Approximation ◽  
Green’S Functions ◽  
Spectral Lines ◽  
Dielectric Susceptibility ◽  
Lattice Vibrations ◽  
Subsequent Calculation ◽  
Double Time ◽  
Bound Electron

The theory of the phonon broadening of impurity spectral lines is discussed within the framework of a Kubo-type formulation of the adiabatic dielectric susceptibility and the subsequent calculation of this using double-time Green's functions. The interaction of the bound electron (or hole) with the lattice vibrations is assumed to be weak and is treated as a small perturbation of the independent systems of electron and vibrating lattice; the use of the adiabatic approximation is thereby avoided. The cases in which the bound carrier states are degenerate and nondegenerate are discussed separately. The results are compared with previous work in the field.

PHONON BROADENING OF IMPURITY SPECTRAL LINES: II. APPLICATION TO SILICON

1963 ◽  
Vol 41 (11) ◽  
pp. 1823-1835 ◽  
Author(s):  
Robert Barrie ◽  
Kyoji Nishikawa
Keyword(s):  
General Theory ◽  
Spectral Lines ◽  
Deformation Potential ◽  
Phonon Interaction ◽  
Potential Description ◽  
Electron Phonon Interaction ◽  
Shallow Impurity ◽  
Hydrogenic Model ◽  
Numerical Estimations

The general theory of the phonon broadening of impurity spectral lines discussed in an earlier paper is applied to shallow impurity levels in silicon. With the use of a modified hydrogenic model and a deformation potential description of the electron–phonon interaction, expressions are obtained for typical contributions to the half-widths. Some numerical estimations are made for both acceptor and donor cases and are compared with experiment.

General Theory of Pressure Broadening of Spectral Lines

1945 ◽  
Vol 68 (3-4) ◽  
pp. 78-93 ◽  
Author(s):  
Alexander Jabloński
Keyword(s):  
General Theory ◽  
Spectral Lines ◽  
Pressure Broadening

PHONON BROADENING OF IMPURITY SPECTRAL LINES: III. DIAGRAM TECHNIQUE

1966 ◽  
Vol 44 (1) ◽  
pp. 109-138 ◽  
Author(s):  
Robert Barrie ◽  
R. G. Rystephanick
Keyword(s):  
Shape Function ◽  
Particle Temperature ◽  
Spectral Lines ◽  
Diagram Technique ◽  
Temperature Dependent ◽  
Impurity Potential ◽  
Method Of Calculation ◽  
Double Time ◽  
Particle Propagator ◽  
Temperature Green’S Function

The theory of the phonon broadening of optical absorption lines associated with impurities in semiconductors is discussed, using the diagram technique for the evaluation of an appropriate two-particle temperature Green's function. The single-particle propagator for an electron moving in the impurity potential and simultaneously in interaction with the phonons is calculated and used. The interaction with the phonons is treated as weak. The line-shape function is found, and a comparison is made between this method of calculation and a previous one based on the decoupling of an infinite hierarchy of equations for double-time temperature-dependent Green's functions.

STABILISATION OF PARAELECTRIC PHASE BY STRONG CUBIC AND QUARTIC PHONON ANHARMONICITIES IN KDP CRYSTAL

1995 ◽  
Vol 09 (01) ◽  
pp. 45-55 ◽  
Author(s):  
T.C. UPADHYAY ◽  
N.S. PANWAR ◽  
B S. SEMWAL
Keyword(s):  
Soft Mode ◽  
Mode Frequency ◽  
Dielectric Susceptibility ◽  
Tangent Loss ◽  
Kdp Crystal ◽  
Coupled Mode ◽  
Para Phase ◽  
Real Value ◽  
Double Time ◽  
Anharmonic Interactions

Considering cubic and quartic phonon anharmonic interactions into the pseudospinphonon coupled mode model of Kobayashi6 expressions for shift, width, soft mode frequency and hence Curie temperature, dielectric susceptibility, Curie-Weiss constant and dielectric (tangent) loss have been evaluated for ferroelectric KDP. The method of retarded double-time thermal Green’s function and the treatment of Dyson’s equation have been used in the development. It is shown that cubic and quartic phonon anharmonic interactions render real value to the soft mode frequency in the para-phase. Results are in agreement with the experimental results of others.

Dielectric Loss of Adsorbed Polar Molecules

1973 ◽  
Vol 51 (24) ◽  
pp. 4038-4047 ◽  
Author(s):  
T. McMullen
Keyword(s):  
Exact Solution ◽  
Dielectric Loss ◽  
Oscillator Model ◽  
Dielectric Susceptibility ◽  
Lattice Vibrations ◽  
Linear Coupling ◽  
Classical Oscillator ◽  
Ionic Solids ◽  
Density Of Phonon States ◽  
Diagrammatic Perturbation Theory

A theory of the dielectric susceptibility of polar gases adsorbed on ionic solids is presented. The rotational oscillator model of an adsorbed polar molecule is used, and dielectric loss is assumed to occur by phonon emission and absorption. For linear coupling of the rotational oscillator to the lattice vibrations, an exact solution is found using diagrammatic perturbation theory at finite temperature. In this model, appreciable loss is only found if the density of phonon states near the classical oscillator frequency is reasonably large, and it is suggested that this is to be expected in situations where the rotational oscillator model is valid. The method can be extended to more complex adsorbate–lattice interactions.

VIBRATIONAL FREQUENCY PERTURBATIONS IN THE RAMAN SPECTRUM OF HYDROGEN

1965 ◽  
Vol 43 (10) ◽  
pp. 1836-1842 ◽  
Author(s):  
A. D. May ◽  
J. D. Poll
Keyword(s):  
Raman Spectrum ◽  
Vibrational Frequency ◽  
Adiabatic Approximation ◽  
Intermolecular Forces ◽  
Solid Hydrogen ◽  
Hydrogen Gas ◽  
Lattice Vibrations

The influence of the lattice vibrations on the shift of the vibrational Raman lines in solid hydrogen and the influence of nonadditive intermolecular forces on the shift in hydrogen gas are investigated for freely rotating molecules in terms of the adiabatic approximation. It is shown that the experimental value for the shift in the solid (Soots et al. 1965) can be accounted for by introducing a reasonable value for the amplitude of the lattice vibrations. The effect of the nonadditive intermolecular forces on the shift in hydrogen gas is shown to be appreciable at high densities.

scholarly journals THEODORO AUGUSTO RAMOS - A BRAZILIAN CONTRIBUTION TO THE MODEL OF THE ATOM

2005 ◽  
Vol 13 (13) ◽  
pp. 1-12
Author(s):  
Lavinel G. IONESCU ◽  
Luis Alcides Brandini De Boni
Keyword(s):  
Hydrogen Atom ◽  
General Theory ◽  
Present Article ◽  
Spectral Lines ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Academy Of Sciences

The present article discusses the contribution of Theodoro Augusto Ramos, A Brazilian mathematician, to the model of the atom. In a paper entitled "The Theory of Relativity and the Spectral Lines of Hydrogen", presented to the Brazilian Academy of Sciences in November 1923, Theodoro Ramos analyzed the fine spectra of the hydrogen atom using the principles of the general theory of relativity. His results represent an improvement of the Bohr-Sommerfeld model.

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