lecture_9_07b - Angular momentum is quantized mvr where n...

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05/13/09Physics 13 - Fall 2001 - Goldstein1Bohr’s quantum conditionAngular momentum is quantizedmvr=nh2p=nhwheren= 1,2,...squaringm2v2=n2h2r2,somv2=n2h2mr2.Substituting formv2yieldsn2h2mr2=kEMZe2rThen allowed orbits havern=n2h2kEMZe2m=n2Za0
05/13/09Physics 13 - Fall 2001 - Goldstein2Quantized orbitsBohr radiusa0=h2kEMe2m= 5.2910- 11m= 0.529 ASubstitute forrin E:En= -12kEMZe2rn=kEM2e4mZ22h2n2orEn= -Z2n2E0withE0= 13.6 eVSo -E0is the lowest Energy "state"
05/13/09Physics 13 - Fall 2001 - Goldstein3Radiative transitionsQuantum jump occurselectron jumps from orbit i to f which releases photonhν=Ει-Εφνοτε τηαττηισισΓρεεκ λεττερνυτηενν=Ζ2Ε02πη1νφ2-1νι2Ρψδβεργ φορμ υλα!ανδΡ=Ε0/ηϖηιχηισιν εξαχταγρεεμ εντ
05/13/09Physics 13 - Fall 2001 - Goldstein4Transition examplefrom zebu.uoregon.edu/~js/glossary/bohr_atom.html
05/13/09Physics 13 - Fall 2001 - Goldstein5Energy levels of HE0 eV-0.85 eV-1.5 eV-3.4 eV-13.6 eV1234nground statecontinuum
05/13/09Physics 13 - Fall 2001 - Goldstein6Spectral lines of HTransitions: n = 62;52;42;32
05/13/09Physics 13 - Fall 2001 - Goldstein7deBroglie waves

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Term
Fall
Professor
GaryR.Goldstein

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