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1、Thevibrationsofatomsinsidecrystals-latticedynamics-arebasictomanyfieldsofstudyinthesolidstateandmineralsciences,andlatticedynamicsarebecomingincreasinglyimportantforworkonmineralstability.Thisbookpro-videsaself-containedtextthatintroducesthesubjectfromabasiclev
2、elandthentakesthereader,throughapplicationsofthetheory,toresearchlevel.Simplesystemsareusedforthedevelopmentofthegeneralprinciples.Morecomplexsystemsarethenintroduced,andlaterchapterslookatthermodynam-ics,elasticity,phasetransitionsandquantumeffects.Experimenta
3、landcom-putationalmethodsaredescribed,andapplicationsoflatticedynamicstospecificstudiesaredetailed.AppendicesprovidesupplementaryinformationandderivationsfortheEwaldmethod,statisticalmechanicsoflatticevibra-tions,Landautheory,scatteringtheoryandcorrelationfunct
4、ions.Thebookisaimedatstudentsandresearchworkersintheearthandsolidstatescienceswhoneedtoincorporatelatticedynamicsintotheirwork.INTRODUCTIONTOLATTICEDYNAMICSCAMBRIDGETOPICSINMINERALPHYSICSANDCHEMISTRYEditorsDrAndrewPutnisDrRobertC.LiebermannFerroelasticandco-ela
5、sticcrystalsE.K.H.SALJETransmissionelectronmicroscopyofmineralsandrocksALEXC.MCLARENIntroductiontothephysicsoftheEarth'sinteriorJEAN-PAULPOIRIERIntroductiontolatticedynamicsMARTINT.DOVEINTRODUCTIONTOLATTICEDYNAMICSMARTINT.DOVEDepartmentofEarthSciencesUniversity
6、ofCambridgeCAMBRIDGEUNIVERSITYPRESSPublishedbythePressSyndicateoftheUniversityofCambridgeThePittBuilding,TrumpingtonStreet,CambridgeCB21RP40West20thStreet,NewYork,NY10011-4211,USA10StamfordRoad,Oakleigh,Melbourne3166,Australia©CambridgeUniversityPress1993Firstp
7、ublished1993AcataloguerecordforthisbookisavailablefromtheBritishLibraryLibraryofCongresscataloguinginpublicationdataavailableISBN0521392934hardbackTransferredtodigitalprinting2004ForKate,Jennifer-AnneandEmma-Clare,andourparentsContentsPrefacepagexiiiAcknowledge
8、mentsxviPhysicalconstantsandconversionfactorsxvii1Somefundamentals1Indicationsthatdynamicsofatomsinacrystalareimportant:failureofthestaticlatticeapproximation1Interatomicfor
