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Space Group Representations - Theory, Tables and Applications (Hardcover, 1st ed. 2022)
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Space Group Representations - Theory, Tables and Applications (Hardcover, 1st ed. 2022)
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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.
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