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Normal mode determination in crystals

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TLDR
In this article, a series of tables are presented to facilitate rapid determination of the selection rules for vibrational transitions for nuclear site group analysis, where the number of infrared and Raman active modes of each symmetry may be obtained without detailed analysis of the symmetry elements in the crystallographic unit cell or the construction of tables.
Abstract
The group theoretical methods by which the symmetries of normal modes in crystals may be determined are outlined, and a series of tables are presented to facilitate rapid determination of the selection rules for vibrational transitions. Emphasis is placed on the method of nuclear site group analysis in which the number of infrared and Raman active modes of each symmetry may be obtained without detailed analysis of the symmetry elements in the crystallographic unit cell or the construction of tables. By using the tables presented here for most cases identification of the crystallographic space group is sufficient information to allow determination of the vibrational mode selection rules by inspection. Several examples are included in which crystals are analyzed by each of the methods.

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Citations
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Journal ArticleDOI

Raman spectroscopy of graphite

TL;DR: The symmetry–imposed selection rules for double–resonant Raman scattering in graphite are developed and an excellent agreement is found between the graphite phonon dispersion from double– ResonantRaman scattering and other experimental methods.
Journal ArticleDOI

The Raman spectra of Co3O4

TL;DR: The Raman spectra of single-crystal Co3O4 have been measured at 312 K and five Raman active modes were found and identified at 194, 482, 522, 618 and 691 cm-1 as discussed by the authors.
Journal ArticleDOI

Laser crystals and ceramics: recent advances

TL;DR: In this article, the authors review recent advances in the development of novel lasing crystals and ceramics, as well as inorganic and organic nonlinear-laser crystals for χ(3) and cascaded frequency converters.
Journal ArticleDOI

A Review on Infrared Spectroscopy of Borate Glasses with Effects of Different Additives

TL;DR: The network forming of the B2O3 and the SiO4 is affected with the addition of some metal cation additives Pb, Zn, Cd, and so forth, and the optical properties of the borate glasses have been changed significantly.
Book

Minerals : Their Constitution and Origin

TL;DR: The second edition of this popular textbook as mentioned in this paper provides an indispensable guide for the next generation of mineralogists, designed for use on one or two-semester courses, making it more accessible to students, whilst still being suitable for an advanced mineralogy course.
References
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Journal ArticleDOI

The Raman effect in crystals

R Loudon
- 01 Oct 1964 - 
TL;DR: A review of progress in the theoretical and experimental study of the Raman effect in crystals during the past ten years is given in this article, where the theory of those properties of long-wavelength lattice vibrations in both cubic and uniaxial crystals which can be studied by Raman scattering.
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First-Order Raman Effect in Wurtzite-Type Crystals

TL;DR: In this article, the effects of the competition between the long-range electrostatic forces and the short-range forces due to anisotropy in the interatomic force constants on the vibrational spectrum has been included.
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On the Polar Vibrations of Alkali Halides

TL;DR: In this paper, the long wave-length, polar lattice vibrations of alkali halide crystals are discussed without making any specific assumptions about the detailed interactions between the ions, and the ratio of the two frequencies is found to be independent of the effective charge of an ion defined as follows: all of the positive ions in a crystal slab are displaced by an equal amount in a direction perpendicular to the faces of the slab and all of negative ions in the opposite direction.
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Motions of Molecules in Condensed Systems: I. Selection Rules, Relative Intensities, and Orientation Effects for Raman and Infra‐Red Spectra

TL;DR: In this paper, the distribution of point symmetries within space groups and the population of the unit cell were used to derive selection rules for Raman and infra-red spectra of crystals.
Journal ArticleDOI

Longitudinal and Transverse Optical Lattice Vibrations in Quartz

TL;DR: In this paper, the frequency splittings observed between the longitudinal and transverse components of each species-$E$ mode are shown to agree very well with the values calculated using classical oscillator theory.