C566lecture5_000

C566lecture5_000 - C566 Master Lecture Notes Lecture 5...

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C566 Master Lecture Notes Lecture 5 Vibration-Rotation Spectroscopy of Diatomic Molecules Pure Vibrational spectrum: E 10 = e , assuming harmonic oscillator Rotational excitations accompany vibrational excitations. For ABSORPTION ,  = + 1 J = 1 (for electronic transitions, this will include J = 1, 0 for electronic states that have non-zero angular momentum) P branch transitions J = 1 R branch transitions J = + 1 J = 3 J = 4 J = 2 P(3) R(3) ½ h v 3 / 2 5 / 2 7 / 2
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For HCl, e = 2886 cm -1 . Without rotations and within the HO model, all absorptions occur at 2886 cm -1 [8.658 x 10 13 Hz]. With rotation, NO transition at e ! Line positions- Energies in cm 1 denoted as ~ R P ~ ~ = E (  , J ) E (  , J ) B < B because of increase in <R 2 >. P ~ = o ~ – B + J + B - J 2 B + = B + B B - = B B R ~ = o ~ + B + (J+1) + B (J+1) 2 (J is J
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This note was uploaded on 01/18/2012 for the course C 566 taught by Professor Carolinechickjarroll during the Spring '11 term at Indiana.

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C566lecture5_000 - C566 Master Lecture Notes Lecture 5...

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