13.1 |
Which of the following molecule exhibit rotational and/or vibrational spectra/(or microwave and infrared active)? |
|
H2, HF, CO2, OCS, CS2, I2, NH3, CH4, and benzene. |
| 13.2 |
From the value of B given for H2 calculate its bond length. |
13.3 |
For HCl, B = 10.593 cm-1 and the centrifugal distortion constant D = 0.00053
cm-1. Calculate the first four rotational levels. Calculate the force constant for HCl from the value of D. |
13.4 |
Derive the formula ΔErot = EJ+1-EJ = 2B(J+1) – 4D(J+1)2 from the formula for EJ+1 and EJ. |
13.5 |
A cylinder has a moment of inertia I with respect to its cylinder axis while H2 and N2 have I = 0 w.r.t. the molecular axis. Justify. |
13.6 |
What are the differences between the harmonic oscillator potential ½kx2 and the Morse potential? What is the value of PE for the Morse function for r = 0 and r = ∞ ? |
13.7 |
Calculate the number of normal modes of vibrations for the molecules listed in
problem 13.1. |
13.8 |
Why is the Q branch not seen in the vibrational rotational spectrum? |
13.9 |
Sketch qualitatively the vibrational spectrum of HCl and (CH3)2 C = 0. |
13.10 |
What is the ratio of force constants of H2 and D2 ? What differences in spectra
of 1H37Cl, 2D35Cl, and 2D37Cl will you observe when these spectra are compared to the spectrum of 1H35Cl ? |
