The energy difference between consecutive vibrational states is 1.0 x 1020 J for a molecule. b. (i) Calculate the population ratio, n4/n¡, for this system at 298 K and discuss the significance of this ratio in terms of the distribution of molecules in the higher vibrational energy states. (ii) Estimate the vibrational partition function at 298 K. (iii) Estimate the fundamental vibration wave number for this molecule. h= 6.626 x 10*3ª J s k= 1.38 x 1023JK! c = 2.998 x 10³ m s

Principles of Modern Chemistry
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Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
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Chapter20: Molecular Spectroscopy And Photochemistry
Section: Chapter Questions
Problem 12P
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b.
The energy difference between consecutive vibrational states is 1.0 x 1020 J
for a molecule.
(i)
Calculate the population ratio, n4/n¡, for this system at 298 K and discuss the
significance of this ratio in terms of the distribution of molecules in the
higher vibrational energy states.
(ii)
Estimate the vibrational partition function at 298 K.
(iii)
Estimate the fundamental vibration wave number for this molecule.
h = 6.626 x 10-3ª J s
k= 1.38 x 1023 J K'
c = 2.998 x 10® m s''
Transcribed Image Text:b. The energy difference between consecutive vibrational states is 1.0 x 1020 J for a molecule. (i) Calculate the population ratio, n4/n¡, for this system at 298 K and discuss the significance of this ratio in terms of the distribution of molecules in the higher vibrational energy states. (ii) Estimate the vibrational partition function at 298 K. (iii) Estimate the fundamental vibration wave number for this molecule. h = 6.626 x 10-3ª J s k= 1.38 x 1023 J K' c = 2.998 x 10® m s''
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