The 1 H 35 Cl molecule can be described by a Morse potential with D e 7 41 10 19 J The force constant k for this molecule is 516 N m 1 and v 8 97 10 13 s 1 a Calculate the lowest four energy levels for a Morse potential b Calculate the fundamental frequency 0 corresponding to the transition n 0 n 1 and the frequencies of the first three overtone vibrations How large would the relative error be if you assume that the first three overtone frequencies are 2 0 , 3 0 , and 4 0

Question: The 1 H 35 Cl molecule can be described by a Morse potential with D e = 7.41 10 -19 J. The force constant

The ¹H³⁵Cl molecule can be described by a Morse potential with D_e = 7.41 × 10^-19 J. The force constant k for this molecule is 516 N m⁻¹ and v = 8.97 × 10¹³ s⁻¹.

a. Calculate the lowest four energy levels for a Morse potential.

b. Calculate the fundamental frequency ν₀ corresponding to the transition n = 0 → n = 1 and the frequencies of the first three overtone vibrations. How large would the relative error be if you assume that the first three overtone frequencies are 2ν₀, 3ν₀, and 4ν₀?

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