Symmetry, Group Theory, and the Physical Properties of Crystals

1. Auflage. 2010
ISBN: 978-1-4419-7597-3
Verlag: Springer

Buch, Englisch, Band 824, 230 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 376 g

Reihe: Lecture Notes in Physics

J. Edwards,WorksofJonathanEdwards(BannerofTruthTrust,Edinburgh,1979) v vi Preface operations. Thenusingsimplegrouptheoryprocedures,thephysicalpropertiesof thecrystalcanbedetermined. Duringthe45yearsIhavebeeninvolvedinteachingandresearchinvarious areasofsolidstatephysics,Ihavemadeextensiveuseoftheconceptsofgroup theory. YetIhavebeensurprisedathowlittleemphasisthistopicreceivesinany formaleducationalcurriculum. Generally,astudentstudyingsolidstatephysicsor chemistrywillbeexposedtocrystalstructuresearlyinthesemesterandthenhave nofurtherexposuretocrystalsymmetryuntilsomespecialtopicsuchasnonlinear opticsisdiscussed. Thisbookfocusesonthesymmetryofcrystalsandthedescr- tionofthissymmetrythroughtheuseofgrouptheory. Althoughspeci?cexamples are provided of using this formalism to determine both the microscopic and macroscopicpropertiesofmaterials,theemphasisisonthecomprehensive,per- sivenatureofsymmetryinallareasofsolidstatescience. Theintentofthebookistobeareferencesourceforthosedoingresearchor teachinginsolidstatescienceandengineering,oratextforaspecialtycoursein grouptheoryappliedtothepropertiesofcrystals. Tucson,AZ RichardC. Powell June2010 Contents 1 SymmetryinSolids. 1 1. 1 Symmetry. 1 1. 2 CrystalStructures. 4 1. 3 SymmetryinReciprocalSpace. 15 1. 4 Problems. 24 References. 24 2 GroupTheory. 25 2. 1 BasicConceptsofGroupTheory. 27 2. 2 CharacterTables. 31 2. 3 GroupTheoryExamples. 40 2. 3. 1 C PointGroup. 40 3v 2. 3. 2 O PointGroup. 45 h 2. 4 GroupTheoryinQuantumMechanics. 47 2. 5 Problems. 52 References. 53 3 TensorPropertiesofCrystals. 55 3. 1 First-RankMatterTensors. 57 3. 2 Second-RankMatterTensors. 62 3. 3 Third-RankMatterTensors. 68 3. 4 Fourth-RankMatterTensors. 73 3. 5 Problems. 77 References. 77 4 SymmetryPropertiesofPointDefectsinSolids. 79 4. 1 EnergyLevelsofFreeIons. 79 4. 2 CrystalFieldSymmetry. 85 4. 3 EnergyLevelsofIonsinCrystals. 87 vii viii Contents 4. 4 Example:d?Electrons. 95 4. 5 Example:f-Electrons. 100 4. 6 Problems. 104 References. 104 5 SymmetryandtheOpticalPropertiesofCrystals.

Zielgruppe

Professional/practitioner

Autoren/Hrsg.

Powell, Richard C

Fachgebiete

• Naturwissenschaften Physik Angewandte Physik Chemische Physik
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Technische Wissenschaften Sonstige Technologien | Angewandte Technik Angewandte Optik
• Naturwissenschaften Physik Thermodynamik Festkörperphysik, Kondensierte Materie
• Naturwissenschaften Chemie Physikalische Chemie Chemische Kristallographie

Inhaltsverzeichnis

Symmetry in Solids.- Group Theory.- Tensor Properties of Crystals.- Symmetry Properties of Point Defects in Solids.- Symmetry and the Optical Properties of Crystals.- Nonlinear Optics.- Symmetry and Lattice Vibrations.- Symmetry and Electron Energy Levels.

Über Autor(innen)

I. Symmetry in Solids
II. Group Theory
III. Tensor Properties of Crystals
IV. Symmetry Properties of Point Defects in Solids
V. Symmetry and the Optical Properties of Solids
VI. Nonlinear Optics
VII. Symmetry and Lattice Vibrations
VIII. Symmetry and Electron Energy Levels