scholarly journals SpaceGroupIrep: A package for irreducible representations of space group

2021 ◽  
pp. 107993
Author(s):  
Gui-Bin Liu ◽  
Miao Chu ◽  
Zeying Zhang ◽  
Zhi-Ming Yu ◽  
Yugui Yao
Keyword(s):  
Irreducible Representations ◽  
Space Group ◽  
Representations Of Space

REPRESENTATIONS OF SPACE GROUPS

1961 ◽  
Vol 39 (6) ◽  
pp. 830-840 ◽  
Author(s):  
I. V. V. Raghavacharyulu
Keyword(s):  
Dimensional Space ◽  
Irreducible Representations ◽  
Group Method ◽  
Two Dimensional ◽  
Space Group ◽  
Space Groups ◽  
Solvability Property ◽  
Representations Of Space

The construction of the irreducible representations of space groups by the little-group method making use of their solvability property is discussed. As an example the two-dimensional space group p4g is considered and all the allowable representations for the groups Gk’s of typical wave vectors k of the group pig are obtained.

SIMPLIFICATION IN FINDING THE ALLOWABLE REPRESENTATIONS OF SPACE GROUPS

1962 ◽  
Vol 40 (10) ◽  
pp. 1490-1495 ◽  
Author(s):  
I. V. V. Raghavacharyulu ◽  
I. Bhavanacharyulu
Keyword(s):  
Brillouin Zone ◽  
Space Group ◽  
Space Groups ◽  
Representations Of Space

A simplification in finding the allowable representations of the groups of typical wave vectors of a space group is considered, which makes use of the symmetry of the first Brillouin zone of the space group. By this method, one also obtains the compatibility relations of the allowable representations of the space group as a by product.

Irreducible representations of space groups and superspace symmetry

1984 ◽  
Vol 53 (1) ◽  
pp. 293-296 ◽  
Author(s):  
J. M. Perez Mato ◽  
G. Madariaga ◽  
M. J. Tello
Keyword(s):  
Irreducible Representations ◽  
Space Groups ◽  
Representations Of Space

The cellular method for a close-packed hexagonal lattice I. Theory

1958 ◽  
Vol 244 (1237) ◽  
pp. 141-152 ◽  
Keyword(s):  
General Theory ◽  
Spherical Harmonics ◽  
Hexagonal Lattice ◽  
Unit Cell ◽  
Irreducible Representations ◽  
Space Group ◽  
Different Types ◽  
Group A ◽  
Cellular Method

The general theory of the irreducible representations of a space group with two atoms per unit cell is discussed. A particular application of it is made for the group of k = 0 for the close-packed hexagonal lattice. This leads to the determination of the spherical harmonics with the symmetry of this group. A technique is described to determine the boundary and continuity conditions on the surface of the Wigner-Seitz polyhedron. It is pointed out that these vary for different types of points on this surface and complete tables for them are given.

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