Shown below is a rotationally resolved spectrum of the 0?0 vibrational band of a
ID: 2257119 • Letter: S
Question
Shown below is a rotationally resolved spectrum of the 0?0 vibrational band of an electronic transition in 89Y63Cu that was recorded in my laboratory. Measured wavenumbers of the observed rotational lines are given below the spectrum.
Line positions (cm?1):
11820.780
11821.081
11821.654
11822.700
11824.137
11820.811
11821.152
11821.786
11822.880
11824.375
11820.850
11821.234
11822.060
11823.071
11824.617
11820.896
11821.323
11822.204
11823.266
11824.873
11820.957
11821.430
11822.366
11823.472
11825.125
11821.011
11821.537
11822.527
11823.685
11825.398
11823.906
11825.674
(a). What branches are present in this spectrum? What are the first lines in these branches, labeled by the J?value of the lower state, J?? ?
(b). Does the rotational constant, B, increase or decrease when this electronic transition is excited?
(c). Does the bond length of the molecule, R, increase or decrease when this electronic transition is excited?
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(d). Compute the differences between successive lines in the list above. You should find that a regular pattern is observed, with the exception of one pair of lines that has a larger separation. After you locate this anomalously large separation, identify the observed lines using labels such as R(1), P(3), or Q(5). Make sure that the numbering of your lines is consistent with the branches you deduced in (a).
(e). One of the most useful methods of analyzing spectra makes use of what is rather obtusely called
11820.780
11821.081
11821.654
11822.700
11824.137
11820.811
11821.152
11821.786
11822.880
11824.375
11820.850
11821.234
11822.060
11823.071
11824.617
11820.896
11821.323
11822.204
11823.266
11824.873
11820.957
11821.430
11822.366
11823.472
11825.125
11821.011
11821.537
11822.527
11823.685
11825.398
11823.906
11825.674
Explanation / Answer
Shown below is a rotationally resolved spectrum of the 0?0 vibrational band of a
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