Chapter 43563P43.53The total potential energy is given by Equation 43.17: UkerBremtotal=−+α2.The total potential energy has its minimum value U0at the equilibrium spacing, rr=0. At this point,dUdr==00,ordUdrddrrBrrmBremem==++FHGIKJ=002202010αα.Thus,Bmrem=−201.Substituting this value of Binto Utotal,Urmrrrmeemme020201020111+FHGIKJ−FHGIKJ−.P43.54Suppose it is a harmonic-oscillator potential well. Then, 1244832396hfhf+=+..eVeV is the depthof the well below the dissociation point. We see hf=0520.eV, so the depth of the well is1212474hf..eVeVeVeVaf.P43.55(a)For equilibrium, dUdx=0:ddxAxBxAxBx−−−=−+=314230ejx→∞describes one equilibrium position, but the stable equilibrium position is at302AxB−=.xAB03301503680350==⋅⋅=...eV nmeV nmnm3(b)The depth of the well is given byUUAxBxABABBAxx00303232 321212 12033−=−=BA032 120232368150702−=−⋅⋅=...eV nmeV nmeV
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This note was uploaded on 12/15/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .