Symmetrized Plane Waves for the Groups D174h — D204h at Four Symmetry Points of the Brillouin Zone

Huong, Nguyen Van; Olbrychski, K.

doi:10.1002/pssb.19640070107

Physica Status Solidi (b)

1964

DOI: 10.1002/pssb.19640070107

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Symmetrized Plane Waves for the Groups D¹⁷_4h — D²⁰_4h at Four Symmetry Points of the Brillouin Zone

Nguyen Van Huong

K. Olbrychski

Abstract: The projection operators method of constructing the Symmetrized Plane Waves (SPWs) for the space groups is briefly described. The tables of the SPWs for the groups D174h — D204h at four points of high symmetry are then given.

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1971

1979

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Combinaisons linéaires symétrisées d'ondes planes et d'orbitales atomiques pour les cristaux ayant la symétrie du groupe spatial D

Albert

Jouanin

Gout

1971

Physica Status Solidi (b)

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J. P. ALBERT e t al.: Combinaisons linbaires symetrisbes d'ondes planes 451 phys. stat. sol. (b) 47,461 (197 1) Subject classification: 3 and 13 Centre d'Etudea d'Electronique dee Solides, aeeocie au C.N.R.S., Universitg des Sciencee et Techniques du Lanqwdoc, Montpellier Combinaisons lin6aires sym6tris6es d'ondes planes et d'orbitales atomiques pour les cristaux ayant la symhtrie du groupe spatial Diil) Par J. P. ALBERT, C. JOUANM et C. GOUT Nous avons calculb les fonctions de base (sous forme de combinaisons linbaires symbtrisbes d'ondes planes et d'orbitales atomiques) pour les diffbrentes reprbsent&iona irrbductibles du groupe du vecteur d'onde en quelques points et lignes de symbtrie de la premiere zone de Brillouin des cristaux possbdant la structure du rutile (DY,).We have calculated the basis functions (as symmetrized linear combinations of plane waves and atomic orbitals) for the various irreducible representations of the wave vector group in a few symmetry points end lines in the first Brillouin zone of crystals belonging to the rutile structure (D&).

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Combinaisons linéaires symétrisées d'ondes planes et d'orbitales atomiques pour les cristaux ayant la symétrie du groupe spatial D

Albert

Jouanin

Gout

1971

Physica Status Solidi (b)

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Energy band structure of Cd₃P₂ for real D symmetry II. Symmetry properties

Plenkiewicz

Dowgiałło‐Plenkiewicz

1979

Physica Status Solidi (b)

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The fundamental symmetry properties of the D 4h15 space group, necessary in determining the band structure of Cd3P2 are studied in detail. The SCPW for all points and axes of high symmetry, and the compatibility relations for this group are constructed. The selection rules for double‐valued representations are calculated. Finally, the consequences of including spin to the calculated band structure of Cd2P2 are discussed.

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Symmetrized Plane Waves for the Groups D¹⁷_4h — D²⁰_4h at Four Symmetry Points of the Brillouin Zone

Abstract: The projection operators method of constructing the Symmetrized Plane Waves (SPWs) for the space groups is briefly described. The tables of the SPWs for the groups D174h — D204h at four points of high symmetry are then given.

Cited by 2 publications

References 5 publications

Combinaisons linéaires symétrisées d'ondes planes et d'orbitales atomiques pour les cristaux ayant la symétrie du groupe spatial D

Combinaisons linéaires symétrisées d'ondes planes et d'orbitales atomiques pour les cristaux ayant la symétrie du groupe spatial D

Energy band structure of Cd₃P₂ for real D symmetry II. Symmetry properties

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Symmetrized Plane Waves for the Groups D174h — D204h at Four Symmetry Points of the Brillouin Zone

Abstract: The projection operators method of constructing the Symmetrized Plane Waves (SPWs) for the space groups is briefly described. The tables of the SPWs for the groups D174h — D204h at four points of high symmetry are then given.

Cited by 2 publications

References 5 publications

Combinaisons linéaires symétrisées d'ondes planes et d'orbitales atomiques pour les cristaux ayant la symétrie du groupe spatial D

Combinaisons linéaires symétrisées d'ondes planes et d'orbitales atomiques pour les cristaux ayant la symétrie du groupe spatial D

Energy band structure of Cd3P2 for real D symmetry II. Symmetry properties

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Product

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Symmetrized Plane Waves for the Groups D¹⁷_4h — D²⁰_4h at Four Symmetry Points of the Brillouin Zone

Energy band structure of Cd₃P₂ for real D symmetry II. Symmetry properties