The fundamental frequency of HF is 8.72 × 10¹³ Hz. The energy associated with a transition from the 10th to the 9th vibrational quantum number (in eV) is

Question

Quizplus · Accepted Answer

The energy associated with a transition between two vibrational energy levels is given by the equation:

ΔE = hν(ν'+1/2 - ν''+1/2)

where h is Planck's constant, ν is the fundamental frequency, and ν' and ν'' are the initial and final vibrational quantum numbers, respectively.

Plugging in the given values, we get:

ΔE = (6.626 x 10^-34 J s)(8.72 x 10^13 Hz)((10+1/2) - (9+1/2))
ΔE = 3.61 x 10^-20 J

To convert this to eV, we use the conversion factor 1 eV = 1.602 x 10^-19 J:

ΔE = (3.61 x 10^-20 J) / (1.602 x 10^-19 J/eV)
ΔE ≈ 0.361 eV

The Fundamental Frequency of HF Is 8