CHM 313 Theory Questions: Molecular Spectroscopy: Stark Effect, Anharmonicity, and Vibrational Transitions

300 Level Chemistry Department exam questions and detailed answers. Download the answers in document format. Correct, detailed, and straightforward answers.

Questions:

a. Define Stark effect and highlight its application.

b. Derive expressions for anharmonic oscillations in terms of:
i. Fundamental
ii. First overtone
iii. Second overtone

c. i. Explain the hot band phenomenon.
ii. The infra-red emissions from hot HF molecule appear as a series of lines at:
3958.38 cm⁻¹ = [ωₒₛc (1-2xₑ)], i.e., 1→0
3778.25 cm⁻¹ = [ωₒₛc (1-4xₑ)], i.e., 2→1
3598.10 cm⁻¹ = [ωₒₛc (1-6xₑ)], i.e., 3→2
Evaluate the:
– Frequency of oscillations (ωₒₛc)
– Anharmonicity (xₑ)
– Force constant

d. Sketch the relationships of band origin, P- and R-branches.

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