In spectroscopy we frequently assumed that at room temperature (298K) all molecules were in the ground vibrational state. Calculate the vibrational partition function for the 2558 cm-¹ band in the IR spectrum of HBr to determine whether this is an appropriate assumption. Make sure that you include enough significant figures to show that you carried out the calculation (i.e. don't just tell me the answer is 1). At what temperature would the vibrational partition function be equal to 2?

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter14: Rotational And Vibrational Spectroscopy
Section: Chapter Questions
Problem 14.24E: Which of the following molecules should have pure rotational spectra? a Dimethyltriacetylene,...
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4. In spectroscopy we frequently assumed that at room temperature (298K) all
molecules were in the ground vibrational state.
a. Calculate the vibrational partition function for the 2558 cm-¹ band in the IR spectrum
of HBr to determine whether this is an appropriate assumption. Make sure that you
include enough significant figures to show that you carried out the calculation (i.e.
don't just tell me the answer is 1).
b. At what temperature would the vibrational partition function be equal 2?
Transcribed Image Text:4. In spectroscopy we frequently assumed that at room temperature (298K) all molecules were in the ground vibrational state. a. Calculate the vibrational partition function for the 2558 cm-¹ band in the IR spectrum of HBr to determine whether this is an appropriate assumption. Make sure that you include enough significant figures to show that you carried out the calculation (i.e. don't just tell me the answer is 1). b. At what temperature would the vibrational partition function be equal 2?
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ISBN:
9781133958437
Author:
Ball, David W. (david Warren), BAER, Tomas
Publisher:
Wadsworth Cengage Learning,