Nitric oxide,

PHYSICS · Multi-part · Fermi University Physics · Atomic, Molecular & Optical Physics · Molecular structure and spectra · Molecular structure and spectra

Deriving the Spectrum, Ch Diatomic rotation-vibration spectra and nuclear spin statistics

Problem

Nitric oxide,

^{14}\mathrm{N}^{16}\mathrm{O}

, has spectroscopic constants

\omega_e = 1904.20\,\mathrm{cm^{-1}}

and

\omega_ex_e = 14.075\,\mathrm{cm^{-1}}

. Its measured dissociation energy is

D_e = 6.61\,\mathrm{eV}

. ((a)) Use the Morse-oscillator relation between

\omega_ex_e

and the well depth to estimate

D_e

in eV. ((b)) State the percentage by which this estimate is too high or too low, taking the measured value as reference. ((c)) Use the Morse estimate of

v_{\max}

to state how many bound vibrational levels the estimate predicts.

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