Using the (C3v) group character table below, determine the symmetry representation of the six vibrations of (NH3) The internal coordinate of NH3 can be set as in the below figure. Using projection operators, find the symmetry adapted vibrational coordinates of the six vibrations.

Using the (C3v) group character table below, determine the symmetry representation of the six vibrations of (NH3) The internal coordinate of NH3 can be set as in the below figure. Using projection operators, find the symmetry adapted vibrational coordinates of the six vibrations.

Physical Chemistry

2nd Edition

ISBN:9781133958437

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

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

Chapter14: Rotational And Vibrational Spectroscopy

Section: Chapter Questions

Problem 14.6E: The Cu(H2O)62+ complex has octahedral symmetry. Is a transition from a T2g state to an Eg state...

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Question

10. Using the (C3) group character table below, determine the symmetry
representation of the six vibrations of (NH3) The internal coordinate of
NH3 can be set as in the below figure. Using projection operators, find
the symmetry adapted vibrational coordinates of the six vibrations.
A₁
A₂
E
E
1
1
2
2C3
1
-1
30v
1
-1
0
h = 6
Z
Rz
(x,y) (Rx, Ry)
AT₂
40
Arz

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