15. The allowed energies of vibration for the Morse oscillator can be shown to be Ev. = (v + ) - (+ ) ( 0 4U. where v =

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15 The Allowed Energies Of Vibration For The Morse Oscillator Can Be Shown To Be Ev V 0 4u Where V 1 (19.3 KiB) Viewed 25 times

15. The allowed energies of vibration for the Morse oscillator can be shown to be Ev. = (v + ) - (+ ) ( 0 4U. where v = 0,1,.... Obtain from this an expression for the interval separating successive levels of the Morse oscillator, and show that this interval diminishes steadily at higher energies, as illustrated in Figure 11.9b. From your result, deduce an upper limit for the vibrational quantum number v. What is the largest vibrational energy permitted for the Morse oscillator?