03514nam 22006735 450 991063772310332120251113175700.03-031-13991-710.1007/978-3-031-13991-8(MiAaPQ)EBC7166039(Au-PeEL)EBL7166039(CKB)25913982300041(PPN)267816618(OCoLC)1366189275(DE-He213)978-3-031-13991-8(EXLCZ)992591398230004120221219d2022 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierSpace Group Representations Theory, Tables and Applications /by Nikolai B. Melnikov, Boris I. Reser1st ed. 2022.Cham :Springer International Publishing :Imprint: Springer,2022.1 online resource (343 pages)Physics and Astronomy SeriesPrint version: Melnikov, Nikolai B. Space Group Representations Cham : Springer International Publishing AG,c2023 9783031139901 Includes bibliographical references and index.Scope and Overview -- Mathematical Preliminaries -- Induced Representations -- Projective Representations -- Representations of the Space Groups -- Tables -- Group Theory and Quantum Mechanics.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.Physics and Astronomy SeriesCrystallographySolid state physicsMathematical physicsMaterials scienceCrystallography and Scattering MethodsElectronic DevicesMathematical PhysicsMaterials ScienceCrystallography.Solid state physics.Mathematical physics.Materials science.Crystallography and Scattering Methods.Electronic Devices.Mathematical Physics.Materials Science.548.7548.7Melnikov Nikolai B.833974Reser Boris I.MiAaPQMiAaPQMiAaPQBOOK9910637723103321Space Group Representations3363616UNINA