(c) Rotation+Vibration, continued: Choose one transition from each of the (R) and (P) branches in the table anduse the relation AE (cm-¹) = 2 B₁ (21"+1) to calculate the rotational constant for the v=1 state, B₁ Youranswer 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 isshown 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 themost 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' =1V" =0JRJ")(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)

The main aim of this question is to calculate the rotational constant for the v=1 state (B₁) using…

(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.

(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.

Principles of Modern Chemistry

8th Edition

ISBN:9781305079113

Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Chapter20: Molecular Spectroscopy And Photochemistry

Section: Chapter Questions

Problem 13P

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Question

(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)

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