Induced representations of the full holosymmetric double space groups based on the body-centred cubic bravais lattice

H. Kunert and M. Suffczyński

Physica A: Statistical Mechanics and its Applications, 1982, vol. 114, issue 1, 600-603

Abstract: We introduce a modified formula for the element matrices of the induced representations of any crystallographic space group. With the help of this formula we can obtain all the induced representations of any space group. The generating matrices of the induced representations for the groups Im3m ( O9h) and Ia3d ( O10h) have been calculated. In particular, we have considered the representations corresponding to high-symmetry points in the Brillouin zone. For these two space groups we give explicitly the generators and generating relations for the full irreducible representations induced from the small irreducible representations of Miller and Love. A program, written in ALGOL for the computer ODRA 1204, computes from the generating relations and from the generators the induced unitary irreducible representations of the little and full wave vector groups at high symmetry points. The matrices of the full irreducible representations of the full space groups are needed for the construction of the invariants involved in the theory of second-order phase transitions.

Date: 1982
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437182903570
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:114:y:1982:i:1:p:600-603

DOI: 10.1016/0378-4371(82)90357-0

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().