specific-heat-of-solids.pdf - Sheufc heat of Solid Hami im...

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Sheufc heat of Solid Hami ouam of a solio, uuhik mad up of atomn amanze im a CAstal Aattice, may be appoximates by a summ ef term, each nepAes enting a hanmoniu osüllatbr , toTYespond lo movmal mocl oflattice oSulahon, Eac notmal moli daically a wave fdistorHon of Ha lattice plamen a sumd uwaue. Ln quamlum heony hut moTmal mod heo moden gives ise to quamta of seumd wawes Callecd phonons. Hi quamium stat rystal lattic hean th geumol slat Can hu spedfeol by enuminaing all e phone Preentt. hiut al vy Lew mperatuus v tontanig asolid am hi rejandsd as a volu aof menintera ching phonons. th h stt of H latti'a wih n phohen Can be upre phohem tan bt upe a ttRR-wt) soUnd wware wi 4rts uen y sented whun Popojaton ve ctor R amol energ w) Spte el of sound 7 Sinu Aited stale of a hamonJc asilatr lan har amy nuumbtn of phonons, t phon ens obeys ose-Einsteins stahshies wit movstnchann on mumben of phonen SolidL wlth N avms will hawe 3N hoYmal m o deo ene o ngi tudnal nd tuu rumsve se 1 .

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