110404 - Infrared and electronic spectroscopy (Chapter 14...

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1 CHM3400 - Lecture 33 Apr 4 Infrared and electronic spectroscopy (Chapter 14 527-539) Harmonic oscillator Degrees of freedom IR active bands Rovibrational spectra Franck-Condon overlap Electronic transitions
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2 Infrared spectroscopy Analogy of a mass supported by a spring Basic premise: restoring force f proportional displacement x , f α -x f = -kx Why negative sign? Hooke’s Law
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3 Potential energy ... ) ( 0 0 = = = = x x xdx k kxdx Fdx x V Sinusoidal wave: SOLVING for MOTION ) sin( t A x ω = Angular frequency …………… m k π ν 2 1 =
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4 Quantized energy levels μπ ν k 2 1 = Reduced mass (equation?) h v E vib + = 2 1 What is the energy for v=1? What is the difference in energy between v=0 and v=1? ... 2 1 0 2 1 1 = + + = Δ h E vib
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5 Example 14.2 Frequency of vibration for H 35 Cl stretch is 2886 cm -1 . Calculate the force constant of the molecule (Atomic mass
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This note was uploaded on 05/29/2011 for the course CHM 3400 taught by Professor Seabra during the Spring '08 term at University of Florida.

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110404 - Infrared and electronic spectroscopy (Chapter 14...

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