Problem 29 To determine the symmetry of the normal modes of methane, an analysis of the transformation of individual coordinate systems on the five atoms is carried out. After the rotational and translational representations are removed, the following reducible representation Xreducible is obtained for the vibrational modes: Ê 8Ĉ3 3C2 6 S4 60d 0 1 −1 3 Using the character table for the Td group, verify that Treducible = A1 + E + 2T₂ 30 30

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
icon
Related questions
Question
Problem 29
To determine the symmetry of the normal modes of methane, an
analysis of the transformation of individual coordinate systems on the
five atoms is carried out. After the rotational and translational
representations are removed, the following reducible representation
Xreducible is obtained for the vibrational modes:
Ê 8Ĉ3 3C2 6 S4
60d
0
1
−1
3
Using the character table for the Td group, verify that
Treducible = A1 + E + 2T₂
30
30
Transcribed Image Text:Problem 29 To determine the symmetry of the normal modes of methane, an analysis of the transformation of individual coordinate systems on the five atoms is carried out. After the rotational and translational representations are removed, the following reducible representation Xreducible is obtained for the vibrational modes: Ê 8Ĉ3 3C2 6 S4 60d 0 1 −1 3 Using the character table for the Td group, verify that Treducible = A1 + E + 2T₂ 30 30
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 1 steps

Blurred answer
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY