cis-C2H2Cl2 belongs to C2v point group. Using the C2v character table in the picture, i. Find the reducible representation for the given compound. ii. Determine the symmetry of moIecuIar motions (like the number and kinds of rotationaI, vibrationaI and tranIationaI motions.

cis-C2H2Cl2 belongs to C2v point group. Using the C2v character table in the picture, i. Find the reducible representation for the given compound. ii. Determine the symmetry of moIecuIar motions (like the number and kinds of rotationaI, vibrationaI and tranIationaI motions.

Physical Chemistry

2nd Edition

ISBN:9781133958437

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

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

Chapter13: Introduction To Symmetry In Quantum Mechanics

Section: Chapter Questions

Problem 13.32E

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Question

cis-C₂H₂Cl₂ belongs to C_2v point group. Using the C_2vcharacter table in the picture,

i. Find the reducible representation for the given compound.

ii. Determine the symmetry of moIecuIar motions (like the number and kinds of rotationaI, vibrationaI and tranIationaI motions.

Character table for C2y point group
linear,
E C2 (2) o,(xz) o,(yz)
quadratic
rotations
A1 1
x?, y?, 2?
1
1
1
A2 1
1
-1
-1
Rz
ху
B1 1
-1
1
-1
x, Ry
XZ
B2 1
-1
-1
1
y. Rg
yz

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