hw5 - Chem 110A Homework 5 Due Friday Chemistry 110A 2009...

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Chem 110A 1 Homework 5: Due Friday, October 30, 2009 Chemistry 110A — 2009 Professor McCurdy Problems 2 and 3 on this homework set involve the same concepts as problems 6-11 and 6-13 to 6-15 in the text. 1. The internuclear distance of the 12 C 16 O molecule is 1.1283 angstroms. Look up the masses of these isotopes of the atoms on the NIST website ( http://physics.nist.gov/PhysRefData/Compositions/index.html ) and use this data to compute the rotational constant, B, for this molecule expressed in Joules and in wavenumbers ( Hint: look at Eqs. 5.62 and 5.64 ) and compare your answer with data given in Table 13.2. Also, estimate the classical rotational period (in seconds) of this molecule in its J = 1 state using the classical equation of motion for rotation, d dt " ( t ) = l I where I is the moment of inertia and l is the angular momentum. 2. Show that ˆ L z , ˆ L x [ ] = i h ˆ L y . There are smart ways to do this, and less smart ways. One way is to use the explicit definitions in polar coordinates in equation 6.37 in your text.
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