The point group of cis-planar H202 is C2v. Using the character table provided, obtain the reducible representation (\Gamma red) of all deg, of freedom by the product of \Gamma unmoved atoms and \Gamma red. Then, decompose thereducible representation (\Gamma red) of all deg of freedom to obtain the irreducible representation (\Gamma irred) ofonly the vibrational modes. Use the symmetry properties of the basis functions to sketch all the normal modes ofvibrationI'd prefer if the solution is drawn out as visualizing the normal modes would be helpful. Will give a thumbs up! pls helpC2vEC₂G√(x2)σ', (yz)(2mm)A₁111A₂R₂x², y². zхуB₁1x, RyΧΕB₂1-1-11y, Ryz

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Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter15: Introduction To Electronic Spectroscopy And Structure

Section: Chapter Questions

Problem 15.2E: Linearly polarized light can be assigned a specific irreducible representation of a symmetry point...

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Question

The point group of cis-planar H202 is C2v. Using the character table provided, obtain the reducible representation (\
Gamma red) of all deg, of freedom by the product of \Gamma unmoved atoms and \Gamma red. Then, decompose the
reducible representation (\Gamma red) of all deg of freedom to obtain the irreducible representation (\Gamma irred) of
only the vibrational modes. Use the symmetry properties of the basis functions to sketch all the normal modes of
vibration
I'd prefer if the solution is drawn out as visualizing the normal modes would be helpful. Will give a thumbs up! pls help
C2v
E
C₂
G√(x2)
σ', (yz)
(2mm)
A₁
1
1
1
A₂
R₂
x², y². z
ху
B₁
1
x, Ry
ΧΕ
B₂
1
-1
-1
1
y, R
yz

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