(c) Rotation+Vibration, continued: Choose one transition from each of the (R) and (P) branches in the table and use the relation AE (cm-¹) = 2 B₁ (21"+1) to calculate the rotational constant for the v=1 state, B₁ Your answer should be in cm2. Prove, in one mathematical equation, why B₁ < Bo.

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(c) Rotation+Vibration, continued: Choose one transition from each of the (R) and (P) branches in the table and
use the relation AE (cm-¹) = 2 B₁ (21"+1) to calculate the rotational constant for the v=1 state, B₁ Your
answer should be in cm¹. Prove, in one mathematical equation, why B₁ < Bo.
Transcribed Image Text:(c) Rotation+Vibration, continued: Choose one transition from each of the (R) and (P) branches in the table and use the relation AE (cm-¹) = 2 B₁ (21"+1) to calculate the rotational constant for the v=1 state, B₁ Your answer should be in cm¹. Prove, in one mathematical equation, why B₁ < Bo.
7) The Pure Rotational spectrum of isotopically pure "C="0 at room temperature is
shown at right. The x-axis numbers identify the values for J" for each transition.
a) If Bo= 5.763573 100 s¹, and T - 115.4 °C, for which J value will you see the
most intense peak? Assume the Rigid Rotor model applies.
b) Rotation Vibration: Transition energies for the Rovib spectrum of "C-10 are given in the table.
Draw arrows onto the chart below and label with the letters from the table that show all the transitions.
v' =1
V" =0
JRJ")(cm¹)
0 2147.0831 (a)
1 2150.8579 (b)
2 2154.5975 (c)
3 2158.3016 (d)
P(J") (cm)
-
2139.4281 (e)
2135.5482 (f)
2131.6336 (g)
Transcribed Image Text:7) The Pure Rotational spectrum of isotopically pure "C="0 at room temperature is shown at right. The x-axis numbers identify the values for J" for each transition. a) If Bo= 5.763573 100 s¹, and T - 115.4 °C, for which J value will you see the most intense peak? Assume the Rigid Rotor model applies. b) Rotation Vibration: Transition energies for the Rovib spectrum of "C-10 are given in the table. Draw arrows onto the chart below and label with the letters from the table that show all the transitions. v' =1 V" =0 JRJ")(cm¹) 0 2147.0831 (a) 1 2150.8579 (b) 2 2154.5975 (c) 3 2158.3016 (d) P(J") (cm) - 2139.4281 (e) 2135.5482 (f) 2131.6336 (g)
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