In the absorption spectrum of the diatomic molecule HCl the central frequency is at 8.67 $\times$ 10¹³ Hz,while the absorption peaks on either side are separated by 5.9 $\times$ 10¹¹ Hz.What is the difference in energy between neighboring vibrational levels? A)0.18 eV B)0.27 eV C)0.36 eV D)2.4 meV E)1.2 meV

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Quizplus · Accepted Answer

The difference in energy between neighboring vibrational levels can be calculated using the formula ΔE = hν, where h is Planck's constant (6.626 x 10^-34 J·s) and ν is the frequency difference between the absorption peaks. Given that the separation between peaks is 5.9 x 10^11 Hz, ΔE = (6.626 x 10^-34 J·s)(5.9 x 10^11 Hz) = 3.91 x 10^-22 J. Converting this energy to electron volts (1 eV = 1.602 x 10^-19 J), ΔE ≈ 0.36 eV.

In the Absorption Spectrum of the Diatomic Molecule HCl the Central