Home Tools CHY 249 Exam W... CHY 249 Exam W... x Sign In 2. Share 144% Problem 2. (6 marks) (a) Write the transformation matrix for an inversion symmetry operation. What is its character? (b) What is the order of the symmetry group Ta (page 7 of your tables)? (c) The symmetry group T has the irreducible representation T, while the symmetry group Th has both T, and Ty irreducible representations. What symmetry operation does the group Th have that the group T lacks? Note: the symmetry group Th is not in your tables. (d) A partial character table for an unknown group is given below. What are the Mulliken symbols for the three (i, ii, and iii) missing labels? Briefly explain how your arrived at each of your answers. 2C4 C2(-C?) 2C2 2C2" -1 -1 -1 -1 0. -2 0.

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 13.49E
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Problem 2. (6 marks)
(a) Write the transformation matrix for an inversion symmetry operation. What is its character?
(b) What is the order of the symmetry group Ta (page 7 of your tables)?
(c) The symmetry group T has the irreducible representation T, while the symmetry group Th has
both T, and Ty irreducible representations. What symmetry operation does the group Th have
that the group T lacks? Note: the symmetry group Th is not in your tables.
(d) A partial character table for an unknown group is given below. What are the Mulliken symbols
for the three (i, ii, and iii) missing labels? Briefly explain how your arrived at each of your
answers.
2C4
C2(-C?)
2C2
2C2"
-1
-1
-1
-1
0.
-2
0.
Transcribed Image Text:Home Tools CHY 249 Exam W... CHY 249 Exam W... x Sign In 2. Share 144% Problem 2. (6 marks) (a) Write the transformation matrix for an inversion symmetry operation. What is its character? (b) What is the order of the symmetry group Ta (page 7 of your tables)? (c) The symmetry group T has the irreducible representation T, while the symmetry group Th has both T, and Ty irreducible representations. What symmetry operation does the group Th have that the group T lacks? Note: the symmetry group Th is not in your tables. (d) A partial character table for an unknown group is given below. What are the Mulliken symbols for the three (i, ii, and iii) missing labels? Briefly explain how your arrived at each of your answers. 2C4 C2(-C?) 2C2 2C2" -1 -1 -1 -1 0. -2 0.
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