introduction to symmetry and group theory for chemists (arthur m.lesk)

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1、INTRODUCTIONTOSYMMETRYANDGROUPTHEORYFORCHEMISTSIntroductiontoSymmetryandGroupTheoryforChemistsbyArthurM.LeskKLUWERACADEMICPUBLISHERSNEWYORK,BOSTON,DORDRECHT,LONDON,MOSCOWeBookISBN:1-4020-2151-8PrintISBN:1-4020-2150-X©2004SpringerScience+BusinessMedia,Inc.Print©2

2、004KluwerAcademicPublishersDordrechtAllrightsreservedNopartofthiseBookmaybereproducedortransmittedinanyformorbyanymeans,electronic,mechanical,recording,orotherwise,withoutwrittenconsentfromthePublisherCreatedintheUnitedStatesofAmericaVisitSpringer'seBookstoreat:

3、http://www.ebooks.kluweronline.comandtheSpringerGlobalWebsiteOnlineat:http://www.springeronline.comContentsPrefaceix1.THERELATIONSHIPBETWEENGROUPTHEORYANDCHEMISTRY11.1Introduction11.2Applicationsofgrouptheory12.SYMMETRY32.1Abridgefromgeometrytoarithmetic32.2Clas

4、sifyingsymmetryoperations32.3Fullanalysisofthesymmetryofthewatermolecule:Introductiontonotation42.4Productsofcoveringoperations:multiplicationtables82.5Whatisagroup?83.GROUPTHEORY113.1Definitionofagroup113.2Subgroups123.3Examplesofgroups134.POINTGROUPS–THESYMMETR

5、YGROUPSOFSMALLMOLECULES154.1Introduction154.2Axesofrotation:Cn154.3Mirrorplanes:σ164.4Stereographicprojectiondiagrams174.5Inversion:i194.6Rotatoryreflections,orimproperrotations,Sn19viINTRODUCTIONTOSYMMETRYANDGROUPTHEORYFORCHEMISTS4.7Catalogueraisonéeofthecommonp

6、ointgroups:symbols,molecularexamples,andmacroscopicexamples205.INTRODUCTIONTOLINEARALGEBRA235.1Introduction235.2Systemsofcoordinates235.3Vectors245.4Normorlengthofavector255.5Anglesandinnerproducts255.6Generalizationstondimensions265.7Orthogonalityandnormality26

7、5.8Lineartransformationsandmatrices275.9Successivetransformations;matrixmultiplication305.10Theeffectonamatrixofachangeincoordinatesystem315.11Orthogonaltransformations335.12Tracesanddeterminants345.13Matrixrepresentationofsymmetrygroups366.GROUPREPRESENTATIONSA

8、NDCHARACTERTABLES396.1Introduction396.2Grouprepresentations416.3Charactertables466.4Propertiesofcharactertables486.5Calculationswithcharactertables497.MOLECULARVIBRAT