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?

Organic Chemistry: A Guided Inquiry

2nd Edition

ISBN:9780618974122

Author:Andrei Straumanis

Publisher:Andrei Straumanis

ChapterL3: Carbon (13c) Nmr Spectroscopy

Section: Chapter Questions

Problem 1E

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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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