Charged oscillator in electric fieldv

W V t

WHEImttm.uaEgE.wF

U.Xo

qE mw2Eo q2E12mW

H LIM Email Xo Eo

Spectrum En htt hw t Eo

wavefunctions Cf X Cfn X Xo

Dielectricsusceptibility dipolemoment D q

Dz grapnel Ip gfdxxlqlxnx.ITU

qfduukf.cat t9mIufduKfnuiT

9Imw2Xm9w 9f

Energyshift electric energy qEXo 9mIwa 2Eo

elastic energy tzkXo E tmwnet energy qEXotIkXo Eo

Applications Molecular spectroscopy

Interatomic potential Tefft Edr 212Vest t

9 d

yState fixednuclei

rotational vibrational motion decouples

Let W V cromT En ht f to relative to Vo

InfraredAbsorption

Heteropolar molecule Dcr _dotdi r ro 0

19nF thfm Bohr frequency

191 194 Ent EnInn f

w

19D HnDemission absorption Only w IWI observed

9mLDcr l9n L9nHDcrYq

g

absorption

w r

Raman Effect

homopolar molecule D o

no infrared signalirradiate with optical radiation freq 177Winduced dipole moment Dct X Eocitt

Note X X r

Vibration r 7 rot 8 Cos wt X XotSX cos wt

Det D t t Sx'qeiCr wItIneirt

anti

detected

frequencyT

irradiationfrequency