Using the relationships imposed by the orthogonality theorem, predict the characters, XK(R), that have been omitted from this table, and match each with its correct value. All symmetry elements and irreducible representations (labelled with subscripts k = 1, 2, 3, 4, and 5) are included in this table.

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 14.76E
icon
Related questions
Question
Using the relationships imposed by the orthogonality theorem, predict the characters, XK(R), that have been omitted from this table, and
match each with its correct value. All symmetry elements and irreducible representations (labelled with subscripts k = 1, 2, 3, 4, and
5) are included in this table.
+ X2(C3)
◆ X3(C₂)
+ X4(0d)
X5(E)
-
₁₁
[₂
[3
T4
[5
E
1
3
1
3
_?___
6 S4 8 C3
1
1
1
-1
T
-1
0
?
1
0
-1
A. 1
B.-2
C. 2
D.-1
E. 3
F. 0
3 C₂
1
-1
?
어
-1
2
60d
1
-1
-1
?
O
Transcribed Image Text:Using the relationships imposed by the orthogonality theorem, predict the characters, XK(R), that have been omitted from this table, and match each with its correct value. All symmetry elements and irreducible representations (labelled with subscripts k = 1, 2, 3, 4, and 5) are included in this table. + X2(C3) ◆ X3(C₂) + X4(0d) X5(E) - ₁₁ [₂ [3 T4 [5 E 1 3 1 3 _?___ 6 S4 8 C3 1 1 1 -1 T -1 0 ? 1 0 -1 A. 1 B.-2 C. 2 D.-1 E. 3 F. 0 3 C₂ 1 -1 ? 어 -1 2 60d 1 -1 -1 ? O
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Symmetry Elements of Objects
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Physical Chemistry
Physical Chemistry
Chemistry
ISBN:
9781133958437
Author:
Ball, David W. (david Warren), BAER, Tomas
Publisher:
Wadsworth Cengage Learning,
Organic Chemistry: A Guided Inquiry
Organic Chemistry: A Guided Inquiry
Chemistry
ISBN:
9780618974122
Author:
Andrei Straumanis
Publisher:
Cengage Learning