Group-theoretical analysis of lattice vibrations

Worlton, T.G.; Warren, J.L.

doi:10.1016/0010-4655(72)90058-6

Cited by 68 publications

(12 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The 15 representation at the -point thus decomposes into one 1 plus one 5 representation. We could have deduced this directly by inspecting the characters of 15 under the operations of C 2v . Under C 2v the representation 15 becomes reducible and the reduction is equal to 1 + 5 .…”

Section: Contribution Of Symmetries In Condensed Mattermentioning

confidence: 99%

“…Only the representations relevant for expressing a vector are given. We equally give the characters for the -point representation 15 in that group.…”

Section: Example: Phonons In Naclmentioning

confidence: 99%

“…A vector transforms under the group O h as 15 . The basis function of 15 is the vector (x, y, z) (see Table 5).…”

Section: Example: Phonons In Naclmentioning

confidence: 99%

“…For s j > 1 subsets of symmetry coordinates for a given irreducible transformation would transform into each other. As the projection formalism can be fully programmed there exist computer codes [5,15], e.g. incorporated in the program package UNISOFT [16], that automatically determine the symmetry coordinates as well as the block-diagonal form of the dynamical matrix.…”

Section: Symmetry Coordinatesmentioning

confidence: 99%

“…To achieve decoupling we have to diagonalize the dynamical matrix. To understand the underlying physics we consider the classical equations of motion 15) or written in the basis of weighted displacements…”

Section: Epj Web Of Conferencesmentioning

confidence: 99%

See 4 more Smart Citations

Symmetry characterization of electrons and lattice excitations

Schober

2012

EPJ Web of Conferences

View full text Add to dashboard Cite

Abstract. Symmetry concerns all aspects of a physical system from the electronic orbitals to structural and magnetic excitations. In this article we will try to elaborate the fundamental connection between symmetry and excitations. As excitations are manyfold in physical systems it is impossible to treat them exhaustively. We thus concentrate on the two topics of Bloch electrons and phonons. These two examples are complementary in the sense that Bloch electrons describe single particles in an external periodic potential while phonons exemplify a decoupled system of interacting particles. The way we develop the argument gives as by-product a short account of molecular orbitals and molecular vibrations.

show abstract

Section: Contribution Of Symmetries In Condensed Mattermentioning

confidence: 99%

“…Only the representations relevant for expressing a vector are given. We equally give the characters for the -point representation 15 in that group.…”

Section: Example: Phonons In Naclmentioning

confidence: 99%

“…A vector transforms under the group O h as 15 . The basis function of 15 is the vector (x, y, z) (see Table 5).…”

Section: Example: Phonons In Naclmentioning

confidence: 99%

Section: Symmetry Coordinatesmentioning

confidence: 99%

Section: Epj Web Of Conferencesmentioning

confidence: 99%

See 3 more Smart Citations

Symmetry characterization of electrons and lattice excitations

Schober

2012

EPJ Web of Conferences

View full text Add to dashboard Cite

show abstract

Phonons in Rare-Earth Aluminum Garnets and Their Relation to Lattice Vibration of AlO4

Papagelis

Kanellis²,

Arvanitidis

et al. 1999

phys. stat. sol. (b)

View full text Add to dashboard Cite

AC conductivity, calorimetric, X-ray, and Raman study of the hexagonal phase TlInS2-III

Hochheimer¹,

Gmelin²,

Mensing³

et al. 1985

phys. stat. sol. (a)

View full text Add to dashboard Cite

X‐ray, calorimetric, and Raman studies show definitely that black hexagonal TlInS2‐III is stable from 20 to 785 K, whereas the yellow monoclinic TlInS2‐I exists as solid at temperatures from 785 K to the melting point (1050 ± 5 K). Yellow TlInS2‐I can be obtained in a metastable state also at room temperature and is transformed irreversibly into TlInS2‐III by annealing. The transformation of TlInS2‐I into TlInS2‐III leads to a change in the electric conductivity, which is about three orders of magnitude higher in the hexagonal phase. The activation energies of the conductivity in the monoclinic and hexagonal phase are (133 ± 10) and (184 ± 5) meV, respectively. The Raman measurements support the space group assignment (P63/mm c  D6h4) of TlInS2‐III.

show abstract

Group-theoretical analysis of lattice vibrations

Cited by 68 publications

References 4 publications

Symmetry characterization of electrons and lattice excitations

Symmetry characterization of electrons and lattice excitations

Phonons in Rare-Earth Aluminum Garnets and Their Relation to Lattice Vibration of AlO4

AC conductivity, calorimetric, X-ray, and Raman study of the hexagonal phase TlInS2-III

Contact Info

Product

Resources

About