ISO-IR

ISO-IR
Tables of Irreducible Representations
of the 230 Crystallographic Space Groups and Their Superspace Extensions

2011 Version

Version 1.1.1 February 2022
Harold T. Stokes and Branton J. Campbell, Department of Physics and Astronomy, Brigham Young University, Provo, Utah 84602, USA, branton_campbell@byu.edu

Description: Tables of the 2011 version of matrices for the irreducible representations of the 230 Crystallographic Space Groups and Their Superspace Extensions
Help, Version History

How to cite ISO-IR (cite both of the following):
H. T. Stokes, D. M. Hatch, and B. J. Campbell, ISO-IR, ISOTROPY Software Suite, iso.byu.edu.
H. T. Stokes, B. J. Campbell, and R. Cordes, "Tabulation of Irreducible Representations of the Crystallographic Space Groups and Their Superspace Extensions." Acta Cryst. A. 69, 388-395 (2013).

Table 1. Physically Irreducible Representations, Rational k vectors: 3-Dimensional Space
Human readable spreadsheets: Entire table or
Computer Readable Data: PIR_data.zip: zip file containing PIR_data.txt (computer readable data file) and PIR_data.f (sample Fortran source code which reads the data file and generates IR matrices)
Table 2. Physically Irreducible Representations, Irrational k vectors: (3+d)-Dimensional Superspace
Human readable spreadsheets: Entire table or
Computer Readable Data: PIR_SSG_data.zip: zip file containing PIR_SSG_data.txt (computer readable data file) and PIR_SSG_data.f (sample Fortran source code which reads the data file and generates IR matrices)
Table 3. Complex Irreducible Representations, Rational k vectors: 3-Dimensional Space
Human readable spreadsheets: Entire table or
Computer Readable Data: CIR_data.zip: zip file containing CIR_data.txt (computer readable data file) and CIR_data.f (sample Fortran source code which reads the data file and generates IR matrices)
Table 4. Complex Irreducible Representations, Irrational k vectors: (3+d)-Dimensional Superspace
Human readable spreadsheets: Entire table or
Computer Readable Data: CIR_SSG_data.zip: zip file containing CIR_SSG_data.txt (computer readable data file) and CIR_SSG_data.f (sample Fortran source code which reads the data file and generates IR matrices)
Table 5. Basis functions
Human readable document: pdf file