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PS2_2011

# PS2_2011 - Name Section Rec TA Side 1 of 4 Ch 1b Problem...

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Name Ch 1b, Problem Set Two Section Side 1 of 4 Due Friday, Jan. 14, 2011 Rec TA at 4 PM in the Drop Box Only Problem 1 is designated ( ! ) as a “ no collaboration ” problem. You may not work with others, consult upperclassman, or compare final answers. 1. Intro to Spectroscopy: Rotational Spectroscopy (9 points) Identify whether the following molecules are expected to exhibit a peak during rotational spectroscopy. Briefly explain your answers. ( 3 points each ) a. diatomic oxygen (O=O) b. carbon monoxide (C ! O) c. hydrogen cyanide (HC ! N) 2. Rotations of Molecules (29 points) Four consecutive absorption lines in the pure rotational spectrum of gaseous 1 H 35 Cl are found to have the frequencies 2.50 x 10 12 , 3.12 x 10 12 , 3.74 x 10 12 , and 4.37 x 10 12 s -1 . Calculate: (a) the moment of inertia I of HCl (in kg•m 2 ) ( 9 points ) (b) the energies of the J = 1, J = 2, J = 3 rotational levels of HCl, as measured from the J = 0 state (in joules) ( 6 points ) (c) the H-Cl bond length (in angstroms) ( 7 points ) (d) the initial and final J states for the 2.50 x 10 12 s -1 transition ( 7 points ) 3. Vibrations of Molecules (14 points) The vibrational temperature of a molecule prepared in a supersonic jet can be estimated from the observed populations of its vibrational levels, assuming a Boltzman distribution. The vibrational frequency of HgBr is 5.58 x 10 12 s -1 , and the ratio of the number of molecules in the state to the number in the state is 0.127. The degeneracy of each vibrational level for HgBr is unity. (a)

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PS2_2011 - Name Section Rec TA Side 1 of 4 Ch 1b Problem...

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