6. Consider the bond vibration of a homo-atomic diatomic molecule. In the harmonic approximation the vibrational...
1 Vibrational states of a diatomic molecule 1. Use Taylor expansion to get a harmonic approximation Vharmonic( 0.5k(r Ro2 of the following potential 2. Find the expressions for the equilibrium distance Ro and for the harmonic 3. Calculate the zero point energy in terms of the parameters of the given 4. Calculate the energy of a photon emitted upon a transition between ad- force constant k potential (a, ro and D jacent levels in terms of the parameters of the...
The vibrational absorption spectrum of a diatomic molecule in the harmonic oscillator approximation consists of just one line whose frequency is given by, ν = 1 k . The bond 2π μ length of 12C14N is 117 pm and the force constant is 1630 N m-1. Predict the vibration-rotation spectrum of 12C14N within the harmonic oscillator rigid rotor approximation
a) Describe and sketch the vibrational energy levels observed for diatomic molecules in the harmonic oscillator approximation, using an appropriate formula to support your answer (4 marks) b) State the selection rules for IR transitions in diatomic molecules. (2 marks) c) Briefly explain the implications of anharmonicity for vibrational spectra, with particular reference to the selection rules for diatomic molecules, and the resultant energy levels and spectra observed. (3 marks) a) Describe and sketch the vibrational energy levels observed for...
Shown below is the vibration-rotation spectrum of Hydrogen Bromide (HBr), this shows transitions between the v = 0 and v = 1 vibrational levels of the molecule. From the data, estimate the force constant (spring constant) for this molecule, given that the relative atomic weights for H and Br are 1 mu and 80 mu respectively. Why is this vibrational transition split into 2 series of lines with a “missing” line in between them at the center? For each of...
need # 4 or 5 o Vibrational spectroscopy of the NO molecule (with absorption at 1878 cm isotope masses of No14 and 0-16, respectively) reveals Assuming that this transition represents the energy spacing between vibrational energy levels, calculate the force constant of the bond Assuming that the "N"O molecule has a bond with the same force constant as in part a, predict the position (in cm) of the absorbance peak for this molecule. 1. a. b 2. Normalize the first...