6) Spectroscopy of nitrogen gas (N₂) reveals a harmonic oscillator spectrum for the vibrational modes, with €, = (r + ½)ħw, where hw = 0.3 eV. Assuming only the two lowest states are occupied, find the probability of r = 0 and r = 1 if the gas is in thermal equilibrium at 1000 K.

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6) Spectroscopy of nitrogen gas (N₂) reveals a harmonic oscillator spectrum for the vibrational
modes, with €₁ = (r + 3)ħw, where hw = 0.3 eV. Assuming only the two lowest states are
occupied, find the probability of r=0 and r= 1 if the gas is in thermal equilibrium at 1000 K.
Transcribed Image Text:6) Spectroscopy of nitrogen gas (N₂) reveals a harmonic oscillator spectrum for the vibrational modes, with €₁ = (r + 3)ħw, where hw = 0.3 eV. Assuming only the two lowest states are occupied, find the probability of r=0 and r= 1 if the gas is in thermal equilibrium at 1000 K.
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