probset4_11

probset4_11 - Chemistry 21b Problem set # 4 Out: 26 January...

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Chemistry 21b Problem set # 4 Out: 26 January 2011 Due: 02 February 2011 Problems are worth: 1a=15, 1b=10; 2a=10, 2b=15; 3a=10, 3b=5, 3c=5, 3d=5; 4a-e=5 points each (for 25 points total). 1. A problem about simple symmetric tops. (a.) Prove the moment of inertia formulae for a symmetric top of form A 3 B can be written as: I b = 2 m A (1 - cosθ ) R 2 I = m A (1 - cosθ ) R 2 + m A m B m (1 + 2 cosθ ) R 2 where R is the A-B bond length and θ the A-B-A bond angle. (b.) Treat AsCl 3 as a rigid rotor with transitions as follows: 75 As 35 Cl 3 has its J=4 5 transition at 21,472 MHz and 75 As 37 Cl 3 has its J=5 6 transition at 24,536 MHz. Fom these data calculate the geometry of the molecule, that is, R AsCl and θ ClAsCl . 2. Consider the molecule thioformaldehyde, H 2 CS. a) Using the asymmetric rotor energy level formulae given in Lecture #10 (Table 10.1 on p. 82), calculate the ±rst few ( J =0, 1 and 2) rotational energy levels of the molecule. The rotational constants are A= 291291.641 MHz, B=17699.628 MHz, and C= 16651.83 MHz. Draw an
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This note was uploaded on 01/03/2012 for the course CH 21b taught by Professor List during the Fall '10 term at Caltech.

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probset4_11 - Chemistry 21b Problem set # 4 Out: 26 January...

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