(b) Write Schrödinger’s equation for ethene using the harmonic oscillator approximation.
(c) Write (but do not solve) the probability of finding the C7C bond to be longer than 2 Å.
(d) Now consider a carotenoid with 40 carbon atoms in a simple linear conjugated chain.
Write the force that the nth carbon experiences.
(e) Write Schrödinger’s equation for the nth carbon atom using the harmonic oscillator
approximation.
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(c) Write (but do not solve) the probability of finding the C7C bond to be longer than 2 Å.
(d) Now consider a carotenoid with 40 carbon atoms in a simple linear conjugated chain.
Write the force that the nth carbon experiences.
(e) Write Schrödinger’s equation for the nth carbon atom using the harmonic oscillator
approximation.
CHAPTER 11
VIBRATIONAL MOTION
237
9781405124362_4_011.qxd 4/29/08 9:11 Page 237