Computational group theory in crystal physics: A review

DOI10.1016/0378-4371(82)90340-5zbMath0718.20023OpenAlexW1994440155MaRDI QIDQ2639178

B. L. Davies

Publication date: 1982

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(82)90340-5

zbMATH Keywords

representationsirreducible charactersClebsch-Gordan coefficientscomputer programsspace groupscrystal physics

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Other geometric groups, including crystallographic groups (20H15)

Related Items (1)

Computing with groups and their character tables

Cites Work

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• Computerized group theory for lattice dynamical problems
• Computation of cubic harmonics
• Symmetry transformation of crystal wave functions
• On the reduction of space groups
• Character tables for two space groups
• Clebsch–Gordan coefficients for P n3n
• REPRESENTATIONS OF SPACE GROUPS
• Selection Rules Connecting Different Points in the Brillouin Zone
• On the symmetries of spherical harmonics
• Energy Bands of Alkali Metals. I. Calculated Bands
• A note on the calculation of the matrix elements of the rotation group
• Clebsch–Gordan coefficients of finite magnetic groups
• Clebsch−Gordan coefficients for crystal space groups
• Clebsch−Gordan coefficients for *X ⊗ *X in diamond O7h−Fd3m and rocksalt O5n−Fm3m
• Theory of Symmetry Projections in Applied Quantum Mechanics
• Lattice Harmonics I. Cubic Groups
• Space Groups and Selection Rules
• Computers in group theory
• Kronecker Products and Symmetrized Squares of Irreducible Representations of Space Groups
• Selection Rules for Integrals of Bloch Functions
• Theory of Brillouin Zones and Symmetry Properties of Wave Functions in Crystals
• A Method for Obtaining Electronic Eigenfunctions and Eigenvalues in Solids with An Application to Sodium
• The Cellular Method of Determining Electronic Wave Functions and Eigenvalues in Crystals, with Applications to Sodium
• Indecomposable representations for para-Bose algebra

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