Please answer all the questions. Thank you in advance!
(b) The electron of a H atom is in the 3px orbital. Is the electron in an eigenstate of L^2?
(c) For the electron in (b), what eigenvalues of Lz (i.e., z-component of the angular momentum operator) will be measured, with what probability, in repeated independent measurements?
(d) Which of the following molecules may show pure rotational transitions by the absorption or emission of a photon? Assume that the molecules are rigid and at their equilibrium geometry.
(i) H2O,
(ii) Cl2,
(iii) CHCl3,
(iv) CO2,
(v) CH3OH,
(vi) CH4.
(e) The vibrational motions of CO2 are characterized by 4 normal modes given below. Which ones are IR-active?
- symmetric stretch
- antisymmetric stretch
- out-of-plane bending