Consider phosphorus pentafluoride, PF5, D3h symmetry. The reducible representation for the 18 degrees of freedom is: A'1= 2 A'2= 1 E'= 4 A''1=0 A''2=3 E''=2 and given.. E=? 2C3(z)= 0 3C'2= -2 σ h(xy)=4 2S3= -2 σ v(yz)=4 what is E? 1.) What are the symmetry labels for the rotational modes? 2.) What are the symmetry labels for the translational modes? 3.) What are the symmetry labels for the vibrational modes? 4.) How many vibrational modes are present in this molecule?

Consider phosphorus pentafluoride, PF5, D3h symmetry. The reducible representation for the 18 degrees of freedom is: A'1= 2 A'2= 1 E'= 4 A''1=0 A''2=3 E''=2 and given.. E=? 2C3(z)= 0 3C'2= -2 σ h(xy)=4 2S3= -2 σ v(yz)=4 what is E? 1.) What are the symmetry labels for the rotational modes? 2.) What are the symmetry labels for the translational modes? 3.) What are the symmetry labels for the vibrational modes? 4.) How many vibrational modes are present in this molecule?

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

Consider phosphorus pentafluoride, PF5, D3h symmetry.

The reducible representation for the 18 degrees of freedom is:

A'1= 2

A'2= 1

E'= 4

A''1=0

A''2=3

E''=2

and given..

E=?

2C3(z)= 0

3C'2= -2

σ h(xy)=4

2S3= -2

σ v(yz)=4

what is E?

1.) What are the symmetry labels for the rotational modes?

2.) What are the symmetry labels for the translational modes?

3.) What are the symmetry labels for the vibrational modes?

4.) How many vibrational modes are present in this molecule?

5.) Which modes are IR active and Raman active? How many peaks expected for each spectrum and why?

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