Space Group Representations (eBook)

Theory, Tables and Applications

Nikolai B. Melnikov, Boris I. Reser (Autoren)

eBook Download: PDF

2023 | 1st ed. 2022
XVIII, 338 Seiten
Springer International Publishing (Verlag)
978-3-031-13991-8 (ISBN)

Infos

This book is devoted to the construction of space group representations, their tabulation, and illustration of their use. Representation theory of space groups has a wide range of applications in modern physics and chemistry, including studies of electron and phonon spectra, structural and magnetic phase transitions, spectroscopy, neutron scattering, and superconductivity. The book presents a clear and practical method of deducing the matrices of all irreducible representations, including double-valued, and tabulates the matrices of irreducible projective representations for all 32 crystallographic point groups. One obtains the irreducible representations of all 230 space groups by multiplying the matrices presented in these compact and convenient to use tables by easily computed factors. A number of applications to the electronic band structure calculations are illustrated through real-life examples of different crystal structures. The book's content is accessible to both graduate and advanced undergraduate students with elementary knowledge of group theory and is useful to a wide range of experimentalists and theorists in materials and solid-state physics.

Produkt-Details

• Erscheint lt. Verlag: 1.1.2023
• Zusatzinfo: XVIII, 338 p. 26 illus., 7 illus. in color.
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Atom- / Kern- / Molekularphysik
• Themenwelt: Technik ► Maschinenbau
• Schlagworte: Group Theory in Crystallography • Induced Representations • irreducible representations • Projective Representations • Symmetrized Bloch Functions • Symmetrized Plane Waves • Theory of Space Group Representations • Time-reversal Symmetry
• ISBN-10: 3-031-13991-7 / 3031139917
• ISBN-13: 978-3-031-13991-8 / 9783031139918