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.
Produkteigenschaften
- Artikelnummer: 9781441975973
- Medium: Buch
- ISBN: 978-1-4419-7597-3
- Verlag: Springer
- Erscheinungstermin: 10.12.2010
- Sprache(n): Englisch
- Auflage: 1. Auflage. 2010
- Serie: Lecture Notes in Physics
- Produktform: Kartoniert
- Gewicht: 376 g
- Seiten: 230
- Format (B x H x T): 155 x 235 x 14 mm
- Ausgabetyp: Kein, Unbekannt