The diatomic radical, 160¹H, can be treated approximately as a harmonic oscillator, with a force constant of 780.7 N/m, mH = 1.007825 Dalton, and mo = 15.9949146 Dalton. (a) What is the harmonic angular frequency, w, of this oscillator (in sec-¹)? (b) Spectroscopic measurements are often used to characterize molecular oscillators, and in doing so, they relate a wavelength of light to its characteristic oscillation frequency through the relation, λω = 2πc. Use this to find in units of cm-1 (wavenumbers). λ - (c) If the force constant is the same, what would be in wavenumbers (cm-¹) for ¹60 2H (²H = deuterium), with mH = 2.014101778 Dalton?

The diatomic radical, 160¹H, can be treated approximately as a harmonic oscillator, with a force constant of 780.7 N/m, mH = 1.007825 Dalton, and mo = 15.9949146 Dalton. (a) What is the harmonic angular frequency, w, of this oscillator (in sec-¹)? (b) Spectroscopic measurements are often used to characterize molecular oscillators, and in doing so, they relate a wavelength of light to its characteristic oscillation frequency through the relation, λω = 2πc. Use this to find in units of cm-1 (wavenumbers). λ - (c) If the force constant is the same, what would be in wavenumbers (cm-¹) for ¹60 2H (²H = deuterium), with mH = 2.014101778 Dalton?